text:
\subsection{
 2D optical Raman lattices for ultracold Bose gases}

The experimental setup is demonstrated in Fig.~\ref{FigS1}.
Ultracold atomic cloud of $^{87}$Rb is prepared in a dipole optical trap.
Laser beam $\bm{E}_x$ ($\bm{E}_y$) with wavelength $\lambda=787$nm along $\hat{x}$ ($\hat{y}$) direction is incident on the clouds, then it is reflected back to atomic clouds by the mirror $\text{M}_1$ ($\text{M}_2$), passing through a $\lambda/2$ wave plate and electro-optic modulator (EOM).
The $\lambda/2$ wave plate splits the beam $\bm{E}_{x}$ ($\bm{E}_y$) into two orthogonally polarised components $\bm{E}_{xy}$ $(\bm{E}_{yx})$ and $\bm{E}_{xz}$ $(\bm{E}_{yz})$, and the $\text{EOM}_1$ ($\text{EOM}_2$) induces the phase shift $\varphi_1$ $(\varphi_2)$ between the two components $\bm{E}_{xy}$ and $\bm{E}_{xz}$ $(\bm{E}_{yx}$ and $\bm{E}_{yz})$.
Moreover, two magnetic sublevels $\mid\uparrow\rangle\equiv\left|F=1,m_F=-1\right\rangle$ and $\mid\downarrow\rangle\equiv\left|1,0\right\rangle$ are subjected to a bias magnetic field $\textbf B$ along $\hat{z}$ direction, generating a Zeeman splitting of $10.2\text{MHz}$.
Thus, the squared optical lattice potentials $V_{\text{latt}}(x,y)$ and the Raman lattices $\Omega_{x,y}(x,y)$ can be tuned by $\varphi_{1,2}$~\cite{Yi2019}, i.e.,
\begin{equation}
\begin{aligned}
V_{\text{latt}}(x,y)&=V_{0}^{\prime}[|\bm{E}_{xz}|^2\cos^2(k_0x-\varphi_1)+|\bm{E}_{xy}|^2\cos^2(k_0x)+|\bm{E}_{yz}|^2\cos^2(k_0y-\varphi_2)+|\bm{E}_{yx}|^2\cos^2(k_0y)],\\ \Omega_{x}(x,y)&=\Omega_{0x}\cos (k_0x-\varphi_1)\cos (k_0y)\exp(-i\varphi_1), \Omega_{y}(x,y)=\Omega_{0y}\cos (k_0x)\cos (k_0y-\varphi_2)\exp(i\varphi_2).
\end{aligned}
\end{equation}
Here, $k_0=2\pi/\lambda$, $V_0^{\prime}$ is determined by the level structure of ${}^{87}$Rb atoms and the Raman coupling strength $\Omega_{0x,0y}\propto |\bm{E}_{yx,xy}||\bm{E}_{xz,yz}|$.
In the experiment, we set $|\bm{E}_{xy}|=|\bm{E}_{yx}|$ and $|\bm{E}_{xz}|=|\bm{E}_{yz}|$, then $\Omega_{0x}=\Omega_{0y}=\Omega_0$.
And the total Hamiltonian reads
\begin{equation}
H=\begin{pmatrix}
 \frac{\bm{p}^2}{2m}+V_{\text{latt}}(x,y)+\frac{\delta}{2}& \Omega_x-i\Omega_y\\
  \Omega_x+i\Omega_y&\frac{\bm{p}^2}{2m}+V_{\text{latt}}(x,y)-\frac{\delta}{2}
\end{pmatrix},
\end{equation}
where $\delta$ is the two-photon detuning.
With the tight-binding approximation, the above Hamiltonian generally can be written as
\begin{equation}\label{HamGeneral}
 {\cal H}_{0}(\bm q)=\bm{h}(\bm{q})\cdot\bm{\sigma}=(m_x+2t^x_{\rm so}\sin q_y)\sigma_x+(m_y+2t^y_{\rm so}\sin q_x)\sigma_y+[\delta/2-2(t^x_0\cos q_x+t_0^y\cos q_y)]\sigma_z.
\end{equation}
Here, the Zeeman constants $m_{x,y}$ and the spin-conserved (flipped) hopping coefficients $t_0^{x,y}$ ($t_{\rm so}^{x,y}$) are depends on $\varphi_{1,2}$.
The Pauli matrices $\sigma_{x,y,z}$ are defined as
\begin{equation*}
\sigma_x=\begin{pmatrix}
  0&1 \\
  1&0
\end{pmatrix},
\sigma_y=\begin{pmatrix}
  0&-i \\
  i&0
\end{pmatrix},
\sigma_z=\begin{pmatrix}
  1&0 \\
  0&-1
\end{pmatrix}.
\end{equation*}

When $\varphi_1=\varphi_2=\pi/2$, the squared optical lattice potentials $V_{\text{latt}}(x,y)$ and the Raman lattices $\Omega_{x,y}(x,y)$ can be written as
\begin{equation}
\begin{aligned}
\label{eqS1}
V_{\text{latt}}(x,y)&=V_{0x}\cos^2k_0x+V_{0y}\cos^2k_0y,\\
\Omega_{x}(x,y)&=\Omega_{0x}\sin k_0x\cos k_0y,\\
\Omega_{y}(x,y)&=\Omega_{0y}\cos k_0x\sin k_0y.
\end{aligned}
\end{equation}
where the lattice depth $V_{0x,0y}\propto\lvert \bm{E}_{xy,yx} \rvert^2-\lvert \bm{E}_{xz,yz} \rvert^2$.
Then, $V_{0x}=V_{0y}=V_0$ due to $|\bm{E}_{xy}|=|\bm{E}_{yx}|$ and $|\bm{E}_{xz}|=|\bm{E}_{yz}|$, and the Hamiltonian of the Raman lattices reads
\begin{equation}
\begin{aligned}
\label{eqS2}
H=\frac{\bm{p}^2}{2m}+V_{\text{latt}}(x,y)+\Omega_x\sigma_x+\Omega_y\sigma_y+\frac{\delta}{2}\sigma_z.
\end{aligned}
\end{equation}
With the tight-binding approximation, the Hamiltonian is given in the Eq.(1) of main text, i.e.,
\begin{equation}\label{HamTBM}
\mathcal{H}_0(\bm{q})=2t_{\text{so}}\sin{q_y}\sigma_x+2t_{\text{so}}\sin{q_x}\sigma_y+[\delta/2-2t_0(\cos{q_x}+\cos{q_y})]\sigma_z.
\end{equation}
Here, $m_x=m_y=0$, the spin-conserved hopping coefficients $t_{0}^x=t_{0}^y=t_{0}$ and spin-flipped hopping coefficients $t_{\rm{so}}^x=t_{\rm{so}}^y=t_{\rm{so}}$ are, respectively,
\begin{align}
t_0&=-\int d{\bm r}\phi_{s}(x,y)\left[\frac{{\bm k}^2}{2m}+V_{\rm latt}({\bm r})\right]\phi_{s}(x-1,y),\nonumber\\
t_{\rm so}&=\Omega_{0}\int d{\bm r}\phi_{s}(x,y)\cos(k_0y)\sin(k_0x)\phi_{s}(x-1,y),
\end{align}
where $\phi_{s}(x,y)$ denotes the Wannier function of the lowest band.
For the typical parameters $V_0=4E_{\rm{r}}$ and $\Omega_0=1E_{\rm{r}}$ in the Raman lattices, $t_0\approx0.09$ and $t_{\rm{so}}\approx 0.05$.

When ($\varphi_1,\varphi_2$)=($0,\pi/2$) or ($0,\pi/2$), the Bloch Hamiltonian in the tight-binding limit reads~\cite{Yi2019}
\begin{equation}
 {\cal H}_0=[\delta/2-2(t^x_0\cos q_x+t_0^y\cos q_y)]\sigma_z+2t^x_{\rm so}\sin q_y\sigma_x+m_y\sigma_y,
\end{equation}
or
\begin{equation}
 {\cal H}_0=[\delta/2-2(t^x_0\cos q_x+t_0^y\cos q_y)]\sigma_z+2t^y_{\rm so}\sin q_x\sigma_y+m_x\sigma_x,
\end{equation}
where the Zeeman constant
\begin{equation}
m_y=\Omega_{0x}\int d{\bm r}\phi_{s}({\bm r})\cos(k_0x)\cos(k_0y)\phi_{s}({\bm r})\gg t_{\rm so}^x, t_0^{x,y}
\end{equation}
or
\begin{equation}
m_x=\Omega_{0y}\int d{\bm r}\phi_{s}({\bm r})\cos(k_0x)\cos(k_0y)\phi_{s}({\bm r})\gg t_{\rm so}^y, t_0^{x,y}.
\end{equation}

The shaking Raman lattices are realized by modulating the two-photon detuning $\delta$.
To this end, the frequency of the laser beam $\bm{E}_x$ is modulated by a ratio-frequency (RF) signal which drives an acousto-optic modulators (AOM) (Fig.~\ref{FigS1}).
Meanwhile, the frequency of the laser beam $\bm{E}_y$ is fixed.
Thus, the two-photon detuning $\delta=\delta_0+A_\text{F}\sin{\omega t}$.

\begin{figure}
  \centering
  \includegraphics[width=0.5\linewidth]{FigS1.pdf}
  \caption{Experimental setup.
   $\bm{E}_x$ ($\bm{E}_y$) represents the laser beam, possessing two orthogonally polarised components $\bm{E}_{xy}$ $(\bm{E}_{yx})$ and $\bm{E}_{xz}$ $(\bm{E}_{yz})$. $\lambda/2$ represents the half-wave plate; $\text{M}_1$ ($\text{M}_2$) denotes the mirror; $\text{EOM}_{1,2}$ are the electro-optic modulators; AOM is the acousto-optic modulator; $\text{RF}_{1,2}$ are the ratio-frequency signals; $\text{Switch}_{1,2}$ are RF switches. Bias magnetic field $\textbf{B}$ is along $z$ direction. Inset: level structures and Raman couplings.
  }\label{FigS1}
\end{figure}

\subsection{Quench protocol for three quantized axes}
To better understand quench protocol, we shall first present the basic idea of quench dynamics that was described in the Ref.~\cite{Sun2018,Yi2019}.
Our system is prepared initially in a topological trivial state via controlling the detuning or the phase of the beams.
Thereupon, the system is quenched to the topological regime and the initial state evolves under the post-quench Hamiltonian.
Effectively, the quench projects the initial state to the eigenstates of the post-quench Hamiltonian, which are the superposition states of $\mid\uparrow\rangle$ and $\mid\downarrow\rangle$.
Therefore, under the post-quench Hamiltonian the state at each ${\bf q}$ oscillates between $\mid\uparrow\rangle$ and $\mid\downarrow\rangle$.
The oscillation frequency is governed by the energy difference of eigen-bands.
The quench dynamics is similar to the Rabi oscillation of a two-level system in quantum optics.

In experiments, we quench three quantized axes of the effective Hamiltonian $h_{{\rm F},i}$ ($i=x,y,z$) to explore and characterise the novel topological phases \cite{Zhang2018,Zhang2020,Sun2018,Yi2019}.
Quenching $h_{\text{F},z}$ is realised by fast switching the two-photon detuning $\delta$,
while quenching $h_{{\rm F},x}(h_{{\rm F},y})$ is performed by suddenly tuning the phase of Raman couplings $\varphi_2(\varphi_1)$.
For all the quenches, we divide them into three steps: the preparation of the initial states, quenching to the objective Hamiltonian and the detection of the states. Here, the objective Hamiltonian Eq.~\ref{HamTBM} possesses the parameters $V_0=4.0E_{\rm{r}}, \Omega_0=1.0E_{\rm{r}}$.
Quench protocol is performed as following:

(1) \emph{The preparation of the initial states.} The ${}^{87}$Rb atoms are prepared slightly above the critical temperature of Bose-Einstein condensation.
Subsequently, they are adiabatically loaded into the Raman lattices in 100ms with temperature of 100nK.
Regarding quenching $h_{{\rm F},z}$, we set the initial two-photon detuning $\delta=-200E_{\rm{r}}$ by tuning the frequency of $\text{RF}_1$ and the phase $(\varphi_1, \varphi_2)=(\pi/2, \pi/2)$.
Then, $h_{x,y}$ are suppressed due to $|\delta|\gg t_{0,\rm{so}}$, such that the initial state
is polarized to $\mid \uparrow\rangle$ and points to the North pole on the Bloch sphere~\cite{Sun2018}.
Hence, the value of the spin polarization is close to 1 at $t=0$ (See Fig.~1 and Fig~\ref{FigS9}).
Regarding quenching $h_{{\rm F},x}$ or $h_{{\rm F},y}$, we set the phase $(\varphi_1, \varphi_2)=(0, \pi/2)$ or ($\pi/2, 0$), meanwhile the detuning $\delta$ is a constant by fixing the frequency of $\text{RF}_1$, i.e., $\delta=\delta_0$.
Such settings make the Zeeman term constant $m_{x,y}\gg t_{0,\rm{so}}^{x,y}$, which induces $h_{x}$ or $h_y$ dominates as well as the initial state is prepared to be almost polarized in the $\sigma_x$ ($\sigma_y$) direction~\cite{Yi2019}.
In other words, the initial state points near the equator on the Bloch sphere.
Thus, the value of the spin polarization is close to 0 (see Fig.~\ref{FigS9} and Fig.~\ref{FigS4}).
Before all the quenchings, the modulated RF is turned off.
For all the quenchings, the frequency of $\text{RF}_{2}$ is a constant and the phase $\varphi_{1,2}$ are controlled by the $\text{EOM}_{1,2}$.
Thus, the atoms populate mainly in the lowest trivial band of the initial Hamiltonian.

(2) \emph{Quench to the objective Hamiltonian.} For quenching $h_{{\rm F},z}$, the initial detuning is switched to the final detuning $\delta_0\in [-1,1]E_{\rm{r}}$ within 200ns by $\text{Switch}_1$.
Such final detuning is the same order of magnitude as $t_{0,\rm{so}}$, inducing $h_x$ and $h_y$ take effect.
For quenching $h_{{\rm F},x}$ or $h_{{\rm F},y}$, the phase $(\varphi_1, \varphi_2)=(\pi/2,0)$ or $(0,\pi/2)$ is switched to $(\varphi_1, \varphi_2)=(\pi/2, \pi/2)$ by tuning the $\rm{EOM}_1$ or $\rm{EOM}_2$ within 2$\mu \text{s}$.
And the Zeeman constant is switched suddenly from a large $m_x$ or $m_y$ to $m_x=0$ or $m_y=0$, inducing $h_{x,y,z}$ work.
Subsequently, the detuning $\delta$ is modulated for a certain time $t$, i.e., $\delta=\delta_0+A_{\rm{F}}\sin(\omega t)$.
Hence, the atoms evolve in the objective Hamiltonian.

(3) \emph{The detection of the states.} We take off all the lasers in less than 1$\mu$s. Then the Stern-Gerlach magnetic field is turned on so that the atoms in $\mid\uparrow\rangle$ and $\mid\downarrow\rangle$ are separated.
After the atoms expand freely for 25ms, we take photos of atoms to obtain the distribution in $\mid\uparrow\rangle$ and $\mid\downarrow\rangle$ in momentum space, $N_{\uparrow}(\bm{k},t)$ and $N_{\downarrow}(\bm{k},t)$.
Finally, after mapping $N_{\uparrow}(\bm{k},t)$ and $N_{\downarrow}(\bm{k},t)$ to the quasi-momentum space~\cite{Sun2018}, atomic number $N_{\uparrow}(\bm{q},t)$ and $N_{\downarrow}(\bm{q},t)$ are obtained.

\subsection{Band inversion surfaces.}
Band inversion surfaces (BISs) refer to the quasimomenta where the two spin bands are inverted, and can be dynamically identified by resonant spin-flipping oscillations~\cite{Zhang2018}.
For our periodically driven QAH model, the BISs are all 1D rings that surround the $\Gamma$ or $\rm{M}$ point.
We have the following two properties about BISs to distinguish topological phases of the present system:
(P1) The two types of BISs ($0$- or $\pi$-BIS) always appear alternatively along the diagonal direction from $\Gamma$ to $\rm{M}$. For example, in the case of $\mathcal{N}_{\rm{BIS}}=4$ in Fig.4 of main text, the rings from the innermost to outermost are $0$-BIS, $\pi$-BIS, $0$-BIS and $\pi$-BIS, respectively.
(P2) Topological invariant $\nu_{0,\pi}^j$ equals $+1$ (or $-1$) for a BIS surrounding the $\Gamma$ (or $\rm{M}$) point.

\begin{figure}
  \includegraphics[width=1\linewidth]{FloquetBandFormation.pdf}
 \caption{The formation of Floquet bands.
The dotted curves are the static $|\!\uparrow,0\rangle$ and $|\!\downarrow,0\rangle$ bands, which are copied and shifted by the periodic driving (dashes curves). The gap-opening at all band crossings renders the Floquet bands  (solid curves).
  }
  \label{FloquetBandFormation}
\end{figure}

To demonstrate the two conclusions, we write Eq.~(1) as $\mathcal{H}(t)=\mathcal{H}_0+A_{\rm{F}}\sin(\omega t)\sigma_z/2$, and consider the non-driven Hamiltonian $\mathcal{H}_0=\sum_{j=x,y,z}h_j({\bm q})\sigma_j$.
Before demonstrating the two conclusions, let us explain the formation of the Floquet bands.
The spin up and spin down bands are respectively defined as $(\mid\uparrow\rangle,0)$ and $(\mid\downarrow\rangle,0)$, given by $h_z(\bm{q})$ and $-h_z(\bm{q})$, as shown in the first column of Fig.~\ref{FloquetBandFormation}.
In the presence of periodic driving, the periodic driving transfers energies $n\omega$ ($\omega$ is the driving frequency, $n=0,\pm1,\dots$) to the non-driven system,
such that the static spin bands ($(\mid\uparrow\rangle,0)$ and $(\mid\downarrow\rangle,0)$ bands) are copied and shifted in steps of $\omega$.
The copying and shifting lead to new band crossings, corresponding to driving-induced BISs (see the second column of Fig.~\ref{FloquetBandFormation}).
A finite modulation amplitude $A_{\rm{F}}$ and Raman coupling strength $\Omega_0$ then lift the degeneracy and open band gaps, rendering the Floquet bands
shown in the third column of Fig.~\ref{FloquetBandFormation}.
Since the quasi-energy is periodic with the frequency $\omega$, the quasi-energy bands outside the FBZ are redundant $2\pi$-copies.
Similar to the Bloch bands in a lattice system, we only consider the Floquet bands within the FBZ $\varepsilon \in [-\omega/2,+\omega/2]$.

We now demonstrate the two conclusions.
For the first conclusion, we note that the emergence of all BISs comes from the crossings of the spin bands in the Floquet Brillouin zone, determined by $h_z({\bm q})=n\omega/2$ with $n$ being a nonzero integer.
$n$ being even (odd) corresponds to 0-BISs ($\pi$-BISs).
In the absence of periodic driving, the BIS exists at the crossing of $(\mid\uparrow\rangle,0)$ and $(\mid\downarrow\rangle,0)$ bands, where $h_z(\bm q)=0$.
Between two adjacent $\pi$-BISs where $h_z({\bm q})=(2m-1)\omega/2$ and $(2m+1)\omega/2$, there must exist one $0$-BIS that corresponds to $h_z({\bm q})=m\omega$ ($m$ is a integer.), which is ensured by the monotonicity of the spin band $h_z(|{\bm q}|)$.
(See Fig.~1(b) and Fig.~2 in the main text.)

The second conclusion can be obtained by the aid of topological charges.
For the static Hamiltonian $\mathcal{H}_0$, the topological charges are located at ${\bm q}_{\rm c}$ with $h_x({\bm q}_{\rm c})=h_y({\bm q}_{\rm c})=0$, and the topological invariant defined on a BIS reflects the total charges enclosed~\cite{Zhang2018,Yi2019}.
For the non-driven QAH model, The topological charges are located at four highly symmetric momentum points: $\Gamma$ (charge value ${\cal C}_\Gamma=+1$), $\rm{M}$ (${\cal C}_{\rm M}=+1$) and ${\rm X}_{1,2}$ (${\cal C}_{{\rm X}_{1,2}}=-1$)~\cite{Zhang2018,Yi2019}, as shown in Fig.~\ref{FigS2}\textbf{a}.
When the periodic driving is added to the $h_z$ term of $\mathcal{H}_0$, it does not change the locations and values of the four topological charges (Fig.~\ref{FigS2}\textbf{b}).
Hence, as in the non-driven case, the BIS surrounding the $\Gamma$ point has the topological invariant $\nu_{0,\pi}^j={\cal C}_{\Gamma}=+1$, while
the BIS circling the $\rm{M}$ point has $\nu_{0,\pi}^j={\cal C}_{\Gamma}+{\cal C}_{{\rm X}_1}+{\cal C}_{{\rm X}_2}=-1$.

\begin{figure}
  \centering
  \includegraphics[width=0.6\linewidth]{FigS2.pdf}
  \caption{Correspondence between BISs and edge states.
    BISs (upper) and energy spectrum under open boundary conditions (lower) for $\textbf{a}.$ $ \delta_0=0.4E_{\text{r}}$ (left) and $\delta_0=-0.4E_{\text{r}}$ (right) without driving; and $\textbf{b}.$ $\delta_0=0.4E_{\text{r}},T=400\mu\text{s}$.
  }\label{FigS2}
\end{figure}

\subsection{BIS-boundary correspondence.}

Here we demonstrate the property (P3): one-to-one correspondence between BISs and edge states for the 2D periodically driven QAH model under open boundary conditions (OBCs).
The proof consists of two steps: (i) This one-to-one correspondence holds for the non-driven QAH system (Fig. \ref{FigS2}${\textbf a}$). (ii) For the driven model, the Floquet band structure can be regarded as a combination of several static bands with different parameters (Fig.~\ref{FigS2}${\textbf b}$).

The demonstration of Step (i) is straightforward. According to Refs.~\cite{Zhang2018}, the so-called bulk-surface duality reveals a correspondence between the bulk topology and the winding defined on BISs. For the 2D QAH model,
the Chern number ${\cal C}=\pm 1$ is characterised by the topological invariant $\nu=\pm1$
defined on the BIS surrounding the $\Gamma$ (for ${\cal C}=+1$) or $\rm{M}$ (${\cal C}=-1$) point.
Besides, the bulk-edge correspondence obviously holds. We then obtain a one-to-one correspondence between the topological invariant on BIS and the chirality of chiral edge states.

For Step (ii), we examine an approximate expression for the effective Hamiltonian by applying the Floquet-Magnus expansion.
Consider a BIS formed by two shifted bands $(\left| \downarrow \right\rangle,m_1\omega)$ and $(\left| \uparrow \right\rangle,m_2\omega)$ with $\zeta\equiv m_1-m_2$.
We apply a rotation ${\cal O}(t)=\exp(i\zeta\omega t\sigma_z/2)$ to the time-dependent Hamiltonian ${\cal H}(t)$, and write ${\cal H}_{\rm rot}(t)={\cal O}(t){\cal H}(t){\cal O}^\dagger(t)=\sum_{-\infty}^{\infty} H_n e^{in\omega t}$.
According to the Floquet-Magnus expansion~\cite{Eckardt2017}, the effective Hamiltonian near this BIS can be obtained by
${\cal H}_{\rm F}=\sum_{n\neq0}(H_nH_{-n}+[H_0,H_n])/n\omega$, which yields $h_{{\rm F},x/y}\approx (-1)^mJ_m\left(\frac{4A_{\rm{F}}}{\omega}\right)h_{x/y}\propto h_{x/y}$ with the Bessel function $J_m(z)$ and $h_{{\rm F},z}\approx h_z-\zeta\omega/2$ for the driven QAH model.
Hence, the local band structure near a driving-induced BIS can be approximated as the static one with a shifted Zeeman constant $m_{\rm eff}=m_z-\zeta\omega/2$.

With the two results (i) and (ii), we finally come to the conclusion that for our periodically driven QAH model with OBCs, a 0-BIS (or $\pi$-BIS) indicates a chiral edge state within the 0-gap  (or $\pi$-gap).
For example, for the high-Chern-number phase in Fig.~3, the 0-BIS around the $\Gamma$ point corresponds to a chiral edge state in the 0-gap near $q_y=0$, while the $\pi$-BIS around the $\rm M$ point corresponds to a chiral edge state in the $\pi$-gap near $\left|q_y\right|=k_0$.
The fact that the BIS surrounds the $\Gamma$ or $\rm M$ point determines the chirality of the corresponding edge state.

\subsection{Robustness of counterpropagating edge states.}
We shall first consider the ideal tight-binding QAH model
and numerically verify that counterpropagating edge states are robust against smooth impurities.
We then argue that the conclusion also holds for our cold atom realisation beyond the tight-binding limit.

For the periodically driven QAH model, the predicted counterpropagating edge states are protected by both the particle-hole symmetry (PHS) and large-momentum separation.
The PHS ${\cal P}={\cal K}P$, where ${\cal K}$ is the complex conjugation operator and $P$ is unitary, acting on the Hamiltonian gives
$P{\cal H}({\bm q},t)P^{-1}=-{\cal H}^*(-{\bm q},t)$~\cite{Roy2017,Yao2017}, which leads to $\varepsilon({\bm q})=-\varepsilon(-{\bm q})$.
Thus, the zero-energy edge states can only appear at $q_y=0$ or $\pi$ under an OBC in $\hat x$-direction.
The driven QAH model has a PHS $P=\sigma_x$, and the edge states with opposite chirality are located around $q_y=0$ and $\pi$, respectively.
Similar to the quantum valley-Hall effect (see, e.g., Ref.~\cite{Ren2016} and references therein), such a large momentum separation protects
the counterpropagating edge states from long-range disorders.

\begin{figure}
  \centering
  \includegraphics[width=0.5\linewidth]{FigS3.pdf}\\
  \caption{Quasienergy-dependent conductance $G_{0,\pi}$ in the presence of two kinds of disorders.
    Here we take the Hamiltonian as the QAH tight-binding model Eq.~(1) with $\delta_0=6t_0$, $t_{\rm so}=t_0$, and
    the driving frequency $\omega=4t_0$. The lattice size is set as $40\times40$.
    Each point is averaged over 50 disorder configurations.
  }\label{FigS3}
\end{figure}

To examine the disorder effects, we employ scattering matrix invariants to characterise the topological phase~\cite{Fulga2016,Umer2020}.
The quasienergy-dependent Floquet scattering matrix can be expressed as
\begin{align*}
S(\varepsilon)={\sf P}\left[e^{-i\varepsilon}{\bm 1}-U(1-{\sf P}^{\rm T}{\sf P})\right]^{-1}U{\sf P}^{\rm T},
\end{align*}
where ${\sf P}$ is the projector matrix (see Ref.~\cite{Fulga2016} for the definition), the superscript ${\rm T}$ denotes the matrix transpose, and $U$ is the
time-evolution operator under open boundary conditions.
The scattering matrix takes the form
\begin{align*}
S(\varepsilon) =
\left( \begin{array}{cc}
r & t \\
t' & r'\\
\end{array} \right).
\end{align*}
From this one can compute the conductance $G_{0,\pi}={\rm Tr}(tt^\dagger)$, which characterises
the number of edge states within the corresponding quasienergy gap.
We consider two kinds of PHS-preserving disorders applied to the Zeeman term, i.e., $m_z\to m_z+V_{\rm disorder}$. The first one is the random on-site disorder
\begin{align*}
V_{\rm rand}({\bm r})=\sum_j V_j\delta({\bm r}-{\bm r}_j),
\end{align*}
and the second one represents a long-range potential induced by smooth impurities
\begin{align*}
V_{\rm imp}({\bm r})=\sum_l^{N_{\rm imp}}\frac{V_l}{\sqrt{({\bm r}-{\bm r}_l)^2+d^2}},
\end{align*}
where $N_{\rm imp}$ denotes the number of the randomly distributed impurities
and $d$ controls the potential range.
Here we set $d=1$ and take $V_{\rm rand},V_{\rm imp}\in[-V_{\rm amp},V_{\rm amp}]$, with $V_{\rm amp}$ denoting the strength of disorders.
The numerical results are shown in Fig.~\ref{FigS3} for disorder effects in the phase with ${\cal N}_{\rm BIS}=4$.
Without disorders, two $0$-BIS (or $\pi$-BISs) with opposite topological invariants $\pm1$ ensure a pair of counterpropagating edge states within the 0-gap (or $\pi$-gap),
due to the correspondence between BISs and edge states.
In the presence of on-site disorders $V_{\rm rand}({\bm r})$, our numerical results show that $G_{0,\pi}$ deviate from their quantized values 2 as the disorder strength $V_{\rm amp}$ increases,
indicating that the edge states with opposite chirality are hybridized with each other by disorders.
In comparison, the computed values of $G_{0,\pi}$ are almost unaffected by $V_{\rm imp}({\bm r})$,
which verifies that the counterpropagating edge states are immune against long-range disorders.

The above conclusion on the robustness of counterpropagating edge states is not restricted to the ideal QAH model.
For our realistic system beyond the tight-binding limit, the PHS is broken by the next-nearest-neighbor hopping.
However, the correspondence between BISs and edge states still holds, and each gapless edge state is protected by a valley-like local topological structure formed by a BIS~\cite{zhang2021}.
Hence, the large momentum separation between two ``valleys'' also protects the counterpropagating edge states against smooth impurities.

\begin{figure}
  \includegraphics[width=0.9\linewidth]{FigSpinTextureStable.pdf}
 \caption{The spin textures $\left\langle \sigma_z(\bm{q}) \right\rangle$ for different driving period $T$.
  $\Gamma$ and M are high symmetric momenta.
  The black and green dashed curves denote 0-BIS and $\pi$-BIS, respectively.
  The red (blue) colour in the spin textures denotes spin up (down).
  The parameters $(V_0,~\Omega_0,~\delta_0,A_{\text{F}})=(4.0,~1.0,~0.1,~0.8)E_{\text{r}}$.
  }
  \label{FigSpinTextureStable}
\end{figure}

\subsection{
Obtainment of the time-averaged spin textures
}

To characterise the topology of driven QAH model, the critical step is to obtain the time-averaged spin textures $\overline{\left\langle\sigma_z(\bm{q},t)\right\rangle}_{x,y,z}$.
To this end, we fit the time-evolved spin textures $\left\langle\sigma_z(\bm{q},t)\right\rangle_{x,y,z}$ at each quasi-momentum point $\bm{q}$ by the combination function (also see Ref.\cite{Yi2019})
\begin{equation}
\begin{aligned}
\label{eqSdecay}
P_{z}(\bm{q},t)=\sum_{i=1}^{2}A_i(\bm{q})\cos(2\pi \nu_i(\bm{q})t+\varphi_i)e^{-\frac{t}{\tau_1}}+B(\bm{q})e^{-\frac{t}{\tau_2}}+D(\bm{q}),
\end{aligned}
\end{equation}
where the $A_i(\bm{q})$ term represents the damped oscillations with characteristic frequency $\nu_i$ and damping time $\tau_1$, the $B(\bm{q})$ term represents the pure decay with characteristic time $\tau_2$, and the $D(\bm{q})$ term is the offset. The damping and the decay are induced by the noise of magnetic field and the interaction between the atoms. Then we remove these relaxation effects and calculate the average of spin polarization by

\begin{figure}
  \includegraphics[width=0.6\linewidth]{FigS4.pdf}
  \caption{\textbf{a.} Time-evolved spin textures for quenching $h_{{\rm F},x}$.
  \textbf{b.} Time-evolved spin polarisation for quenching $h_{{\rm F},x}$ (upper) and $h_{{\rm F},z}$ (lower).
  The green circles with error bars are experimental data. The red curves are the fitting curves.
  The insets are the time-averaged spin textures $\overline{\left\langle\sigma_z(\bm{q},t)\right\rangle}_x$ ($\overline{\left\langle\sigma_z(\bm{q},t)\right\rangle}_z$), on which the quasi-momentum points $\bm{q}$ are marked by green triangles.
  Parameters are $(V_0,~\Omega_0,~\delta_0,~A_{\rm F})=(4.0,~1.0,~0.4,~0.8)E_{\text{r}}$ and $T=400\mu \text s$.
  }
  \label{FigS4}
\end{figure}

\begin{equation}
\begin{aligned}
\label{eqSideal}
\overline{\langle \sigma_{z}(\bm{q})\rangle}_{x,y,z}=
\frac{1}{NT}\sum_{t=0}^{NT} \left(\sum_{i=1}^{2}A_i(\bm{q})\cos(2\pi \nu_i(\bm{q})t+\varphi_i)\right)+B(\bm{q})+D(\bm{q})
\end{aligned}
\end{equation}

where $T$ and $N$ are the driving period and the integer number, respectively.
For example, for quenching $h_{{\rm F},x}$ (time-evolved spin textures shown in Fig.~\ref{FigS4}$\textbf{a}$), the time-evolved spin polarisation at $\bm{q}=(-0.70,0.51)k_0$ is shown in Fig.~\ref{FigS4}$\textbf{b}$ (upper).
According to the fitting parameters and setting $NT=107\times 280\mu s$, we have $\overline{\langle \sigma_{z}(\bm{q}=(-0.70,0.51)k_0)\rangle}_{x}\approx 0.16$.
Similarly, for quenching $h_{{\rm F},z}$, we have $\overline{\langle \sigma_{z}(\bm{q}=(-0.43,-0.19)k_0)\rangle}_{z}\approx -0.12$ (Fig.~\ref{FigS4}$\textbf{b}$ (lower)).

\subsection{The sign of $h_{\text{F},z}$}

In Fig.~3$\textbf{a}$ of the main text, the two BISs divide the first Brillouin zone into three regions.
The sign of $h_{\text{F},z}$ in each region can be determined by the formation of the Floquet bands.
Consider the static Hamiltonian $\mathcal{H}_0=\sum_{j=x,y,z}h_j({\bm q})\sigma_j$, of which the $\mid\uparrow\rangle$ and $\mid\downarrow\rangle$ bands cross each other at the momenta where $h_z(\bm q)=0$.
when periodic driving is added to $\mathcal{H}_0$, the spin bands are copied and shifted by $n\omega$ ($n$ is an integer), forming band crossings where $h_z({\bm q})=n\omega/2$.
The finite Raman coupling strength $\Omega_0$ and driving amplitude $A_{\rm{F}}$ open gaps at these crossings, so that band inversion surfaces (BISs) emerge, and the spin bands folded in the Floquet Brillouin zone form the Floquet bands $h_{\text{F},z}$ (Fig.~2).
Thus, the sign of $h_{\text{F},z}$ , which is the same as the sign of spin polarisation $-\left\langle \sigma_z \right\rangle$, must be opposite on both sides of the BIS (Fig.~\ref{FigSpinTextureStable}).
Therefore, in Fig.~3$\textbf{a}$ of the main text, the sign of $h_{\text{F},z}$ in the three regions from $\Gamma$ to $\text{M}$ are "-", "+" and "-", respectively.

\subsection{The dynamical field and the topological invariant $\nu_{0,\pi}^j$}
\begin{figure}
  \center
  \includegraphics[width=0.3\linewidth]{Fig_nux.pdf}
 \caption{The obtainment of $\nu_{0,\pi}^j$.
  }
  \label{Fig_nux}
\end{figure}

We obtain $\nu^j_{0,\pi}$ from the following steps:

(i) Constructing the dynamical field from time-averaged spin textures.
According to Ref.~[23], the dynamical field $\bm{g}(\bm{q})=(g_y,g_x)$ is defined with two components $g_{x,y}(\bm{q})\equiv-\frac{1}{{\cal N}_{\bm q}}\partial_{q_{\perp}}\overline{\langle\sigma_{z}(\bm{q})\rangle}_{x,y}$, where
$\mathcal{N}_{\bm{q}}$ is a normalization factor and $q_{\perp}$ denotes the momentum perpendicular to the BIS and points from ``$-$'' to ``$+$''.
Here the sign ``$+$''  (``$-$'') denotes the region where $h_{{\rm F},z} >0$ ($h_{{\rm F},z}<0$), which can be judged by the Floquet band structure and the properties of band inversion (see the Supplemental Materials for details).
From the definition of $g_{x,y}(\bm{q})$, one can see that the direction of the dynamical field is determined by the difference
of the measured spin polarization between the two regions divided by the BIS.
Due to the minus sign in the definition, we compute the directional derivative across the BIS by subtracting the measured spin polarization of the ``$+$'' region from the measured spin polarization of the ``$-$'' region.
Take Fig.~3(a) in the main text as an example. The region B is the ``$+$'' region and A is the ``$-$'' region. The polarization difference across the BIS is thus $P(A)-P(B)<0$, where $P(A)$ [$P(B)$] denotes the measured spin polarization in region $A$ ($B$). Hence, we have $g_{x}(\bm{q})<0$ near the region $A$ and $B$, which means that the direction of the $x$-component of the dynamical field should be in the opposite direction of $\sigma_x$-axis.
Like this, the components of the dynamical field $g_{x,y}$ are obtained and drawn in the first two columns of Fig. 3 in the main text.
Thus, superimposing the two components $g_{x,y}$, the combined dynamical field $\bm{g}$ is obtained, i.e., $\bm{g}(\bm{q})=g_x(\bm{q})\hat{e}_x+g_y(\bm{q})\hat{e}_y$, as shown in the three column of Fig. 3 in the main text.

(ii) Determining the topological invariant from the dynamical field.
According to Ref.~\cite{Zhang2020}, the topological invariant associated with the $j$-th BIS is defined as $\nu^j_{0,\pi}=\int_{\rm{BIS}}\bm{g}(\bm{q}){\rm d}\bm{g}(\bm{q})/2\pi$,
where ${\bf g}{\rm d}{\bf g}\equiv g_{y}{\rm d}g_{x}-g_{x}{\rm d}g_{y}$ and ``${\rm d}$'' denotes the exterior derivative,
which characterizes the winding number of the dynamical field $\bm{g}(\bm{q})$ on BISs.
The expression also tells that the winding orientation of the dynamical field along the BIS determines whether the associated topological number is positive or negative.
As shown in Fig.~\ref{Fig_nux}, we need to not only count how many times these arrows rotate around along each BIS,
but also examine the direction of their rotation (clockwise or anticlockwise).
Note that the winding orientation should be identified with respect to the same reference point. Here we take the $\Gamma$ point as the reference point, and first consider the BIS surrounding $\Gamma$  (black circle). When tracing out the black circle anticlockwise around $\Gamma$, one can find that the dynamical field on the BIS winds once also in an anticlockwise direction, which indicates that the associated topological number should be $\nu^1_{0}=+1$.
In contrast, for the BIS surrounding the $M$ point (green circle), the situation is reversed.
When we trace out the green circle anticlockwise with respect to $\Gamma$, we actually make a circle that travels {\it clockwise} around M (the upper right in Fig.~\ref{Fig_nux}).
Therefore, the winding orientation of the dynamical field also becomes clockwise, giving the topological number  $\nu^1_{\pi}=-1$.

Based on above descriptions, one sees that the experimental data are used to determine both the sign of $\nu^j_{0,\pi}$ and also its magnitude.
Since it characterizes how many times the dynamical field winds along the BIS (Here, selecting the same momentum point for the start and end point on the dynamical field to obtain $\nu^j_{0,\pi}$.), the values of $\nu^j_{0,\pi}$ must be quantized without error bars.

\subsection{Four BISs in momentum space}
For quenching $h_{\text{F},z}$, the atoms are prepared in the initial polarized state $\mid \uparrow \rangle$.
After quenching $h_{\text{F},z}$, the spin flips appear and the atoms flip to $\mid\downarrow\rangle$.
Those atoms flipping to $\mid\downarrow\rangle$ form ring structures surrounding $\Gamma$ or M, which is the signature of the BISs.
The experimental data with four BISs in momentum space are shown in Fig.~\ref{Fig4ring}.
From the momentum distribution of $\mid\downarrow\rangle$ $N_{\downarrow}(\bm{k},t)$, four rings are clearly observed.

\begin{figure}
  \center
  \includegraphics[width=0.5\linewidth]{Fig4ring.pdf}
 \caption{$N_{\uparrow}(\bm{k},t)$ and $N_{\downarrow}(\bm{k},t)$ in momentum space.
 The upper (lower) row corresponds to four BISs data of Fig. 2 (Fig. 4) before mapping to quasi-momentum space with $t=2T$.
 The parameters of upper (lower) row is $V_0=4.0E_{\rm{r}},\Omega_0=1.0E_{\rm{r}},\delta_0=0.1E_{\rm{r}},T=740\mu s,A_{\rm{F}}=1.2E_{\rm{r}}$ ($V_0=4.0E_{\rm{r}},\Omega_0=1.0E_{\rm{r}},\delta_0=-0.2E_{\rm{r}},T=600\mu s,A_{\rm{F}}=1.2E_{\rm{r}}$).
  }
  \label{Fig4ring}
\end{figure}

\subsection{Determination of the topological phase boundary}
\begin{figure}
  \includegraphics[width=0.5\linewidth]{FigExtractRing.pdf}
 \caption{The extraction of the size $r$.
 The spin texture is obtained via rotating the original spin texture by $45^{\circ}$.
 The right and top subfigures are obtained by extracting the spin polarization along the diagonal and anti-diagonal direction of quasi-momentum $q_{\rm{diag}}$, respectively.
 The green dots are experimental data and the solid curves are the fitting by the numerical smoothing.
 The sizes $r_{1,2}$ are obtained by measuring the distance from $\Gamma$ point to the local minimal value of $P_{\rm{m}}$.
 The parameters: $V_0=4.0E_{\rm{r}},\Omega_0=1.0E_{\rm{r}},\delta_0=0.4E_{\rm{r}},T=400\mu s,A_{\rm{F}}=0.8E_{\rm{r}},t=3T$.
  }
  \label{FigExtractRing}
\end{figure}

According to the theoretical analysis, BIS is the essence of the topological phases in the driven QAH model \cite{Zhang2020}.
The BISs vanish for the trivial phases, while they exist for the topological phases.
Moreover, the size of BISs change continuously when one of the parameters $V_0$, $\Omega_0$, $T$ and $\delta_0$ is tuned.
Thus, via tuning $T$ and $\delta_0$ as well as fixing $V_0$ and $\Omega_0$, the topological phase boundaries in Fig.~4(a) in the main text can be determined where the corresponding BIS just appears.
Phase boundaries with black straight lines in Fig.~4(a) are identified by measuring the size of BISs as a function of the detuning $\delta_0$, while other phase boundaries are extracted by measuring the size of BISs as a function of the period $T$.
Here, the size of the ring $r$ is defined as the distance between $\Gamma$ point and the ring.

The size $r$ is extracted by locating the local minimal of the spin polarization along the diagonal and anti-diagonal direction of the quasi-momentum $q_{\rm{diag}}$.
The procedure of the extraction is the following:
I. Extracting the spin polarization along the diagonal and anti-diagonal direction of the quasi-momentum $q_{\rm{diag}}$, as shown in Fig.~\ref{FigExtractRing}.
II. Obtaining four $r_1$ and four $r_2$ by measuring the distance between the quasi-momentum point (where the spin polarization $P_{\rm{m}}$ is the local minimal value) and $\Gamma$ point.
III. Repeating the steps I and II to obtain the expected values and the statistic errors of the sizes for multiple spin textures with the same parameters.
IV. Adjusting the modulation period $T$ or the detuning $\delta_0$, the sizes are extracted, as shown in Fig.~\ref{FigS6}.

\begin{figure}
  \includegraphics[width=1\linewidth]{FigS6.pdf}
  \caption{Topological phase boundary.
  $\textbf{a.}$ Topological phase boundaries for $(V_0, \Omega_0)=(4.0, 1.0)E_\text{r}$, $\delta_0=0.1E_\text{r}$ (left) and $\delta_0=0.4E_\text{r}$ (right). Green circles denote the size of the ring $r_1$ corresponding to the BIS of static QAH bands; purple triangles and black diamonds represent the sizes of rings $r_2$ and $r_3$ induced by periodic driving, which are fitted exponentially. The fitting curves intersect the straight lines $(r=0)$ or $(r=1)$, which gives the location of phase boundaries (small blocks). Insets are the representative spin textures with different number of rings.
  $\textbf{b.}$ Topological phase boundaries for $(V_0, \Omega_0)=(4.0, 1.0)E_\text{r}$ and $T=260\mu\text{s}$.
  }
  \label{FigS6}
\end{figure}

As the driving period $T$ increases, there emerge multiple rings in the time-evolved spin textures (Fig.~\ref{FigS6}$\textbf{a}$).
The first ring corresponds to BIS formed by the spin-orbit coupling of static QAH model, of which the size $r_1$ is constant.
Other rings correspond to the BISs induced by the driving, of which the sizes $r_{2,3}$ vary.
We fit $r_{2,3}$ with an exponential function
\begin{equation}
\begin{aligned}
\label{eqS3}
r=Ae^{-\frac{T}{T_0}}+r_0,
\end{aligned}
\end{equation}
where $r_0$ and $T_0$ are the fitting parameters.
The topological boundary is the intersection between the fitting curve and the straight line $r=0$ or $r=1$.
$r=0$ ($r=1$) represents the smallest (largest) size of the ring where the ring just emerges.
When the detuning $\delta_0=0.1 (0.4) E_{\rm{r}}$, The topological boundaries are $T=(293\pm 4)\mu\text{s}$ ($T=(220\pm 4)\mu\text{s}$) for the number of rings from one to two and $T=(396\pm 8)\mu\text{s}$ ($T=(470\pm 3)\mu\text{s}$) for the number of rings from two to three.

On the other hand, as the detuning $\delta_0$ increases, the size of the ring $r_1$ in the time-evolved spin textures decreases (Fig.~\ref{FigS6}$\textbf{b}$).
To obtain the topological boundaries with black straight lines in Fig.~4$\textbf{a}$, we fit the size $r_1$ by a polynomial function \cite{Sun2018}
\begin{equation}
\begin{aligned}
\label{eqS3}
r=A+B\delta_0+C\delta_0^3,
\end{aligned}
\end{equation}
where $A$, $B$ and $C$ are the fitting parameters.
The topological boundary is also the intersection between the fitting curve and the straight line $r=0$ or $r=1$.
Thus, when $T=260\mu\text{s}$, the topological boundaries are $\delta_0=(0.8\pm 0.03)E_{\rm{r}}$ and $\delta_0=(-0.79\pm 0.01)E_{\rm{r}}$ (Fig. \ref{FigS6}$\textbf{b}$).

\begin{figure}
  \includegraphics[width=0.9\linewidth]{FigS_phase_diagram.pdf}
  \caption{\textbf{a.} Topological phase diagram for $(V_0, \Omega_0)=(4.0, 1.0)E_\text{r}$.
The blue circles with error bars are experimental measurements.
The solid or dashed curves of numerical calculations denote phase boundaries on which a 0-BIS or a $\pi$-BIS appears, respectively.
The Roman numerals {\romannumeral1} to {\romannumeral12} label twelve topological phases in the experimental parameters.
\textbf{b.} The spin textures $\left\langle \sigma_z \right\rangle_z$ for each phase marked by {\text{\ding{73}}} in \textbf{a}.
The dashed curves with different colours distinguish the twelve phases.
$t=(3,4,3,2,3,2,3,2,3,3,5,3)T$ from the phase {\romannumeral1} to {\romannumeral12}.
$A_{\rm{r}}=0.9E_{\rm{r}}$ for the phase {\romannumeral6} and $A_{\rm{r}}=0.8E_{\rm{r}}$ for other phases.
\textbf{c.} Topological invariants of the twelve phases.
  }
  \label{FigS_phase_diagram}
\end{figure}

\subsection{The topological phase diagram}
Based on the method of determined the phase boundaries descried in section \uppercase\expandafter{\romannumeral1}\textbf{.C}, we summarize the topological phase diagram of driven QAH model in Fig.~\ref{FigS_phase_diagram}\textbf{a}, part of which has been shown in Fig.4 in the main text.
We can reach twelve phases by varying driving period $T$ and detuning $\delta_0$.
The typical spin textures $\left\langle \sigma_z \right\rangle_z$ for each phase are shown in Fig.~\ref{FigS_phase_diagram}\textbf{b}.

Further, we demonstrate the topological invariants of the twelve phases in Fig.~\ref{FigS_phase_diagram}\textbf{c}, including the total number of BISs $\mathcal{N}_{\rm BIS}$, and the winding number of 0-gap ($\pi$-gap), i.e., $\mathcal{W}_0$ $(\mathcal{W}_\pi)$. And the Chern number is obtained by $\mathcal{C}=\mathcal{W}_0-\mathcal{W}_{\pi}$.
The phases (i-v) can be transformed into ($\text{i}^{\prime}-\text{v}^{\prime}$) by changing the sign of the winding number $\mathcal{W}_0$ or $\mathcal{W}_{\pi}$.
And the phases in $\delta_0>0$ plane and $\delta_0<0$ plane can be also converted to each other.
For example, the winding number $(\mathcal{W}_{0},\mathcal{W}_{\pi})=(+1,-1)$ of the phase (iii) with $\delta_0<0$ can be transfers into $(\mathcal{W}_{0},\mathcal{W}_{\pi})=(-1,+1)$ of the phase ($\text{iii}^{\prime}$) with $\delta_0>0$.

\begin{figure}
  \center
  \includegraphics[width=0.8\linewidth]{FiggapAndModulationFrequency.pdf}
 \caption{(a) Energy gaps to the first excited bands compared to the modulation frequency.
 The red and green solid curves are respectively the upper and lower bounds of the gaps between the first two excited bands ($p_{1,2}$) and the lowest two bands ($s_{1,2}$).
 The dots represent the parameter settings in our measurents shown in Fig. 4(a) of the main text.
Inset: The measured spin texture with the temperature of 100nK.
Here the parameters are $\delta_0=-0.9E_{\rm{r}}$, the modulation period $T=200\mu s$, and the amplitude $A_{\text{F}}=0.8E_{\rm{r}}$. The measurement is performed at time $t=4T$.
 (b) The calculated band structure of our 2D Raman lattice with two lowest bands $s_{1,2}$ and two excited bands $p_{1,2}$.
  }
  \label{FiggapAndModulationFrequency}
\end{figure}

In addition, the energy gaps to the first excited bands are shown in Fig.~\ref{FiggapAndModulationFrequency}.
The selected experimental parameters are mostly beneath the lower bound (green curve) of the gaps between the first two excited bands ($p_{1,2}$) and the lowest two bands ($s_{1,2}$), except one case with $|\delta_0|=0.9E_{\text{r}}$, which locates slightly above the lower bound.
For $\delta_0=-0.9E_{\text{r}}$, only the BIS surrounding $\Gamma$ point appears.
The higher band effect only appears near the M point, which, however, does not affect the extraction of the information of the BIS near the $\Gamma$ point, see the inset in Fig.~\ref{FiggapAndModulationFrequency}(a).
For $\delta_0=0.9E_{\text{r}}$, the case is similar to $\delta_0=-0.9E_{\text{r}}$.
Thus, the full phase diagram was mapped.

\begin{figure}
  \includegraphics[width=0.7\linewidth]{FigS8.pdf}
 \caption{The Floquet bands with different driving amplitude $A_{\rm{F}}$.
  Parameters are $(V_0,~\Omega_0,~\delta_0)=(4.0,~1.0,~0.4)E_{\text{r}}$ and $T=400\mu \text s$.
  The red (blue) colour in the spin textures denotes spin up (down).
  }
  \label{FigS8}
\end{figure}

\subsection{
Numerical simulations for quenching three quantized axes
}

For periodically driven QAH model, the effective Hamiltonian $\mathcal{H}_{\rm{F}}$ can be written as
\begin{equation}\label{HF}
\mathcal{H}_{\rm{F}}=i \log(U(T))/T,
\end{equation}
where time-evolution operator $U(t)={\cal T}\exp\big[-i\int_{0}^t \mathcal{H}(\bm{q},\tau)d\tau\big]$ and ${\cal T}$ denotes the time ordering.
By diagonalizing Hamiltonian Eq.~\ref{HF} we can obtain the Floquet bands and the eigenstate $|\Psi_0(\bm{q})\rangle$. The Floquet bands with different driving amplitude $A_{\rm{F}}$ are shown in Fig.~\ref{FigS8}, manifesting that $A_{\rm{F}}$ only affects the band gap.
According to the eigenstate, the spin textures $\langle \sigma_{x,y,z} (\bm{q}) \rangle$ can be obtained by $\langle \sigma_{x,y,z} \rangle=\langle \Psi_0(\bm{q}) | \sigma_{x,y,z} |\Psi_0(\bm{q})\rangle$.
$\langle \sigma_z \rangle$ with different modulation periods $T$ are shown in Fig.~\ref{FigSpinTextureStable}.

We calculate numerically the time-evolved spin texture $\langle \sigma_z (\bm{q},t) \rangle_{i}$ along $\sigma_z$ axis by $\langle \sigma_z (\bm{q},t) \rangle_{i}=\langle \Psi(\bm{q},t)| \sigma_z | \Psi(\bm{q},t)\rangle=[N_{\uparrow}(\bm{q},t)-N_{\downarrow}(\bm{q},t)]/[N_{\uparrow}(\bm{q},t)+N_{\downarrow}(\bm{q},t)]$ with $\left| \Psi(\bm{q},t) \right\rangle=U(T)\left| \Psi_\text i \right\rangle$.
The initial state $\left| \Psi_\text i \right\rangle$ is set by the experimental conditions: For quenching $h_{\text{F},x}$, $m_x\approx -14t_0$; For quenching $h_{\text{F},y}$, $m_y\approx -14t_0$; For quenching $h_{\text{F},z}$, $\delta_0\approx -50t_0$.
The time-evolved spin textures from numerical calculations are shown in Fig.~\ref{FigS9}.
Regarding the quenching $h_{{\rm F},z}$, the spins are polarized to 1 initially since the initial detuning is far away from the resonance.
As the time $t$ increases, there emerge two rings in the spin textures due to spin flip from +1 to -1, which is the signature of BISs.
Hence, we can directly observe the rings to identify the BISs.
Regarding to quenching $h_{{\rm F},x}$, the initial spin polarization is not equal to zero because $m_{x}$ is not infinite relative to $t_0$.
With the time $t$ increases, spiral patterns form in the spin textures, which is similar to quenching $h_{\text{F},y}$.

Then, we show numerically the time-averaged spin texture $\overline{\langle \sigma_z (\bm{q}) \rangle}_{x,y,z}$ in Fig.~3 (a) of the main text by calculating the time average of $\langle \sigma_z (\bm{q},t) \rangle_{x,y,z}$.
According to Refs.~\cite{Zhang2020,Yi2019}, the time-averaged spin texture $\overline{\langle\sigma_z(\bm{q}) \rangle}_i$ involves the information of not only $h_{{\rm F},z}$ but also $h_{{\rm F},x}$ or $h_{{\rm F},y}$.
In fact, analytical calculations prove that for a fully polarized initial state (i.e., the spins are initially prepared to be polarized in the $\sigma_i$ axis for quenching $h_{{\rm F},i}$), we have $\overline{\langle\sigma_z(\bm{q}) \rangle}_i\propto-h_{{\rm F},z} (\bm{q})h_{{\rm F},i}(\bm{q})$.
That is why we use such quench processes to measure the effective spin-orbit coupling field.
For example in left panel of Fig.~3(a) in the main text, we should have $\overline{\langle\sigma_z(\bm{q})\rangle}_x\propto-h_{{\rm F},z}h_{{\rm F},x}$ under ideal conditions.
However, the results numberically finally looks a bit different because the prepared initial state cannot be fully polarized, which does not affect obtaining the dynamical field.

\begin{figure}
  \includegraphics[width=0.9\linewidth]{FigS9.pdf}
 \caption{Evolution of the spin textures $\left\langle \sigma_z(\bm{q},t) \right\rangle$ for quenching $h_{{\rm F},z}$ (upper) and $h_{{\rm F},x}$ (lower).
  Parameters are $(V_0,~\Omega_0,~\delta_0,A_{\text{F}})=(4.0,~1.0,~0.4,~0.8)E_{\text{r}}, T=400\mu \text s$.
  $\Gamma$ and M are high symmetric momenta.
  The red (blue) colour in the spin textures denotes spin up (down).
  }
  \label{FigS9}
\end{figure}

\end{document}

redpajama_set_name: RedPajamaArXiv


The All Progressive Congress APC, has denied media reports that it has endorsed President Buhari for a second term. There were reports online yesterday that at the National Executive Committee meeting which was attended by President Buhari, Vice President Yemi Osinbajo as well as APC state governors two days ago, the party publicly endorsed President Buhari for a second term in office.
Denying the report, the party spokesperson, Bolaji Abdullahi said what the members of the committee did was just to pass a vote of confidence on President Buhari and this does not in anyway connote an endorsement for a second term in office.


How was everyone's Friday? Mine was crazy busy. I attended a work event in New Jersey in the morning, then caught a ride back to NYC and attempted to finish up all of my regular work in the afternoon.
However, what made things seem even a bit more stressful was that with all of this craziness going on, I was also coping with a very bad allergic reaction to the mosquito bites on my arm. I have NEVER in my life had an allergic reaction like this. The mosquito attack took place on Wednesday night, when I was bit five times. On Thursday, the bites looked pretty bad, but by Thursday night they were out of control. Here's a picture that kind of shows it.
See all the redness up and down my arm? Those are huge bug bites alright. Determined to get in a run, I headed out to the East River Esplanade right after this picture was taken for a quick run. Not only are these bug bites bright red, but my entire arm is about twice its normal size. I think of my left arm as appearing like a Popeye arm. The bites are so swollen and itchy it's ridiculous.
I thought maybe things with my arm would start to get better on Friday. And I know this will sound impossible, but it got worse. Now my arm was throbbing and painful to touch. I made it through the day okay, but when I got home last night (Friday), I popped two extra strength Benadryl and prayed for some relief. I didn't want to take the Benadryl during the day because it makes me so drowsy. And indeed, by 8:30 p.m. it had kicked in and I was feeling loopy and tired. My arm was feeling a little less huge and throbbing though. I vaguely remember moving into the bedroom around 10 p.m. after realizing I had fallen asleep on the couch.
And so how's it looking this morning? Still swollen and painful, but it seems like maybe the swelling is coming down a bit.
I have also instituted a "no opening the window" policy for the rest of the early fall season. It stinks that I can't let the fresh air in right now – since it's sooo gorgeous out. But I just can't risk another attack.
So my question to you all – what are you allergic to?
Obviously, I now know that I was allergic to this particularly mosquito. I have never had a reaction like this before though. I'm also highly allergic to dogs. I know so sad. I get the usual sneezing and chest congestion, but then if the dog happens to lick me, I break out in hives. I'm also allergic to cats. Yes, I know – what about Murph? I take a daily generic antihistamine that I get from Wal-Mart called Equate.
I don't actually take this everyday though because after living with Murphy for 4+ years, I've sort of become immune to him. Funny how that works. But when I'm around other cats for an extended timeframe, I do have to take one of these pills.
How do I know what I'm allergic to, you might ask, other than the terrible reactions? I went to an allergist a few years ago and he gave me the allergy prick test on my arm and then watched as the allergic bumps popped up. Unfortunately, mosquitos were not part of the allergy test, although maybe I should recommend to the doc that they should be.
Regardless, I am going to continue taking Benadryl until the itching and swelling subsides. Hopefully I can get in a run today and then tomorrow as well…possibly with my Popeye arm.
This entry was posted in Running, Uncategorized and tagged allergies, Benadryl, Equate, mosquitos. Bookmark the permalink.
oh my, I'm sorry about your allergic reaction! To a mosquito, no less. I've never heard of that happening – so weird! At least with the colder weather, maybe the mosquitoes will all die? Hope you were able to get a run in today!
Do the Benadryl for sure – but I think it's time to call your allergist. He might need to give you a steroid!
Omigod! Just thank god it is not Bed Bugs! The Benadryl seems like a good idea and maybe some anti-itching cream? Feel Better!


Here is the continuation and completion of Aleksei's description and photographs of his superlative Hasegawa Ki-44 build.
Tubes on main wheel disc covers were cut off and made from scratch using pieces of wire with flattened ends.
"After the fuselage halves and wings were glued together I slightly detailed the tail wheel well (anyway not much will be seen through the closely fit doors). Tail wheel doors were scratchbuilt similarly to the landing gear doors, i.e. cut from aluminum and detailed with plastic. Tail wheel fork details were deepened with a blade.
"After that additional detailing followed: scratchbuilt landing light, adding photoetched grills, rescribing some panel lines, deepening elevator, aileron and rudder hinge lines, adding some access panels from foil, deepening the exhaust outlet and thinning its walls; adding pitot from fine tubing, building antenna mast from a needle, adding wiring to the gun sight, using syringe needles in place of cowling machine guns, drilling out wing guns' barrels, detailing headrest with photoetched parts and plastic, filling out 3 holes in the headrest and drilling out 4 new ones.
"Canopy fit to the fuselage is below average so a lot of trimming was required. It was sanded, front part was glued in and seams filled with superglue. Silicon molds were formed on the leading edge lights in order to make copies from transparent epoxy with some color paint added. Oil radiator housing was modified (plastic walls thinned to scale, grills added). Model was riveted on top of the primer coat.
"Wheel wells were first painted aluminum; square masks were placed over some holes, followed by a coat of aotake - GSI Creos (Gunze) Mr. Color 57 Metallic Blue Green). Strictly speaking wheel wells could also be painted the cockpit color (blue-gray), but I really wanted to paint them in aotake. One more argument in favor of aotake is the fact that aforementioned Shoki wreck in China shows remnants of aotake inside the wheel wells.
"The model was given a coat of GSI Creos (Gunze) Mr.Color 8 Silver and several layers of Alclad. Before spraying the camouflage colors thin masks of scotch tape were added around hinomaru and anti-glare strip. I used GSI Creos (Gunze) Mr.Color 129 Dark green (Nakajima) for the green mottle and the brown blotches were mixed from Tamiya acrylics XF-78 Wooden Deck Tan, 64 Red Brown, and 68 NATO Brown).
"After painting smaller details with a brush, the model was given a flat coat of Akan (a well known Russian producer of authentic paints). The post shading and weathering effects were achieved with airbrushing, Mig pigments and oils. Alluminum scratches were painted with a thin brush using Tamiya enamel. Akan semi-flat was used for the finishing coat.
"After the final assembly (leading edge lights, antenna, etc.), minor corrections and toning surface with oil the construction was finished.
"Unfortunately I couldn't avoid some mistakes. For instance the formation light on a rudder should be transparent. Air scoop above the engine is left blanked off because no reliable information regarding this part could be found."
Hello Nick; I really admire Mr. Kryukov's excellent craftsmanship. The overall finish on this model is excellent. I especially like the complex exterior color scheme and the choice of blue-gray for the interior.
Beautiful work, Aleksei. Thank you for sharing it with us.
Aleksei asked me to thank everyone for commenting on his work. And special thanks to Nick for his excellent blog and research material, which helped Aleksei tremendously in his build!
What an absolutely beautiful paint job and an inspirational piece of work. BRAVO!
Easily one of the finest builds I've ever seen. Simply remarkable. Thanks Aleksei and Nick.


Chicago and North Western Depot in Brown County, Minnesota.
Chicago & North Western depot at Marshall, Minnesota built in 1885.
Anoka Library, built 1904, razed 1965. Picture taken 1912.
Minneapolis and St. Louis depot at Morton, Minnesota.
Red Wing, Minnesota Amtrak (formerly Milwaukee Road) Depot. We went to Oregon from here on the train.
Ex-Minneapolis and St. Louis (MSTL) depot at Waseca, MN, was built in 1913. It's a commercial business in this 4/20/11 photo.
George W. Wentworth House in Dakota County, Minnesota.
Former ATSF depot at Holly, CO, 4/21/11, dates to 1912, and was the 1st ATSF depot in Colorado . Today it's the Town Hall.
"The Minneapolis and St. Louis Railway"
This is the former ATSF depot at Lamar, CO, built in 1907. It houses the visitor's center, Chamber of Commerce, and is a stop on Amtrak's SW Chief .
The ex-ATSF depot at Harper, KS, 5/06/11. Built in 1912 it is used by BNSF maintenance today.
The first Gateway from a similar perspective, 1915.
Minnesota Science Museum | Minneapolis, MN | Website: http://www.
Baseball Hall of Fame Museum of Minnesota, Minneapolis, MN.
This is the ex-Omaha depot St James, MN, 5/08/11. Today it's a museum.
... Mississippi/Minneapolis took stock of the emptying industrial riverfront and reframed it as a place for people to stop, stay, experience, and enjoy.
Waseca, Minnesota, circa "Chautauqua grounds -- cottages at Maplewood.
Minnehaha Depot in Minneapolis, Minnesota built by the Chicago, Milwaukee & St.
Park commissioner Ole Olson chaired the subsequent Riverfront Development Coordinating Board (RDCB) to turn this plan into reality.
Marie (Soo Line) depot at Viking, Minnesota built in The depot is now located at Peder Engelstad Pioneer Village in Thief River Falls, Minnesota.
The original St. Paul Mpls & Manitoba (later Great Northern) depot at Willmar, Minnesota, built in 1892, demolished in 1947.
Soo Line (Mpls, St. Paul & Sault Ste. Marie) Depot in Onamia, Minnesota. The depot was built in 1908 (the same year the town of Onamia was incorporated).
The original Union Station built in 1883 on Hennepin Ave. near High St. This location is now the site of the central Minneapolis Post Office.
This is the ex-Chicago & Northwestern (CNW) depot at St James, MN, 5/08/11. It is still in use by UP.
Waseca, MN train station. 1916.
Join Martha Decker in shaping the best of Minnesota with your photos and votes. Vote to help Martha win prizes and get published!
The ex-ATSF depot at Panhandle, TX, 5/06/11, was built in 1928 and is the City Hall today.


I researched 2 top crypto exchanges and reviewed the documentation on their websites. So far I found that at least 2 exchanges provide partial or full APIs to access their trading systems and data.
RESTful and WebSocket architectures/styles are the most prevalent technologies used for API services. RESTful is supported by 2 exchanges and 2 support WebSocket. Clients on many exchanges can choose the technology because 2 exchanges support both architectures.
In total, just 2 exchanges support RESTful, WebSocket and FIX protocols.
Simplified characteristics of each architecture are that RESTful uses matching sets of request-response messages and is the "least" reactive style of the 3 alternatives. WebSocket systems receive subscriptions from clients and respond with ad hoc data push-back to their clients. A few exchanges have outsourced their market data WebSocket services to Pusher.com and PubNub.com. I would expect these indirect feeds to be a little bit "slower" than the WebSocket served directly from the exchanges. The FIX protocol is best suited for order management while its FastFIX "cousin" is intended for real-time market data.
market data (see "feed"): last-prices, market depth, indicators, markets traded (coins) etc.
order management (see "user"): positions, new order entry, order modification etc.
account management (see "withdrawals"): transfers in-out of the exchange are useful for arbitrage algos.
In most cases, market data services do not require user accounts / authentication (see "public"). All order management and account management utilizes api-key / secret authentication with encryption (see "auth"). The FIX protocol security relies on dedicated (secure) networks and VPNs instead of encryption.
Theoretically, the best overall performance should be achieved with a combination of WebSocket for real-time market data push, and FIX-via-VPN for order management, because FIX does not consume encryption/decryption processing. Due to RESTful's request-response design, its server side implementation consumes greater computing resources and all exchanges have set maximum acceptable request rates.


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Our practice is dedicated to quality patent care in a relaxed, unhurried environment; to help people who snore, have sleep apnea and cannot tolerate CPAP, who have pain in the the head, face, jaw and/or neck area (orofacial pain) and who may have primary headaches as well.
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Tag Archives: Development
Written on April 9, 2017
Author: Frances d'Ath April 9, 2017
The scale of the Third Front was staggering, as ab…
The scale of the Third Front was staggering, as about 1,800 factories were set up in the hinterland to prepare for war. As one scholar has noted, since about two-thirds of the state's industrial investment went to the project between 1964 and 1971, it constituted the main economic policy of the Cultural Revolution. […] It is probably the biggest example of wasteful capital allocation made by a one-party state in the twentieth century. In terms of economic development, it was a disaster second only to the Great Leap Forward.
The Cultural Revolution: A People's History, 1962–1976 , Frank Dikötter
Categories: Asia, China 中国 中國, Culture, Guangzhou 广州 廣州, History, Hong Kong 香港, Politics, Reading Tags: 20th Century, Anthropology, Beijing, Central Asia, Colonialism, Communism, Corruption, Cultural Revolution, Development, Environment, Famine, Human Rights, Law, Mao Zedong, Migration, Russia, Shanghai, Sichuan, Tibet, War, Xinjiang, Zhao Ziyang, 上海, 北京, 广东, 廣東, 文化大革命
Written on February 18, 2015
Reading: Howard W. French — China's Second Continent: How a Million Migrants Are Building a New Empire in Africa
The title's sensationalist. The cover I quite like; it looks better somehow attached to a book than on a screen. Black for Africa and red for China is crude when I think about it; does fit the title though. The paper is atrocious, not much better than newsprint, grey, joyless, and floppy.
Howard French I've been reading as a blogger for nearly ten years (bloody hell how did that happen), since he was based in Shanghai as the New York Times bureau chief. He doesn't blog so much anymore, and hasn't been based in China for most of the time since I added him to my feed reader. I seem to be reading more Africa stuff lately, possibly arriving at that from one side via mediæval art and my interest in representation in the artworks, and from the other via China. Gordon Matthew's Ghetto at the Center of the World, exploring the Chungking Mansions in Hong Kong and the international trade with Africa by Africans run through there, as well as the large African community in Guangzhou are probably the most significant prior connections. Germany's colonial history would be a third.
I was hoping for a substantial book, along the lines of Frank Dikotter say, rather than Susan Mann, and it is investigative journalism of a type. French spent a lot of time travelling back and forth across Africa, met and talked with a lot of people, both African and Chinese, but it's more like a very long piece of journalism than a book, each chapter and section repeating the same structure, the same meetings of individuals, the same driving, the same observations. It tends towards a homogeneous and not so meaningful view of Chinese presence in Africa, despite that being not French's aim.
Anyone who follows China or Africa even in passing in the usual sources like the NY Times will have their opinions and prejudices confirmed: corruption all over, racism, colonialism, environmental destruction, lack of legal transparency, fragile democracies or crypto-oligarchies, war and horror never too far. Even with the occasional positive or bright moments, the implicit future for most of sub-saharan Africa with China moving in isn't a hopeful one. His discussion of China using migration to Africa and elsewhere as a means of dealing with its own population explosion and accompanying social and environmental issues is the one thing I'd read more of.
Ah, I'm not supposed to be reviewing here: why I'm reading it rather than what I thought afterwards. Maybe to say the subject of China in Africa—if it is indeed substantial—is one deserving solid works. This book is ok for a light Saturday afternoon read after finishing the weekend paper, but like newspapers it carries implicit bias, and whether it was in French's preparation or writing it is limited in the diversity of subjects—either interviewed or discussed—the story builds itself on.
Howard W. French — China's Second Continent: How a Million Migrants Are Building a New Empire in Africa
Categories: Americas, Asia, China 中国 中國, Culture, History, Politics, Reading Tags: Africa, Colonialism, Corruption, Development, Environment, Government, Human Rights, Law, Migration
Author: Frances d'Ath June 21, 2018
Witch/Red
This is the month of Adelaide independent choreographers with five developments that I know of and maybe a couple of others I might be making up. Gabrielle, whom I've known and made things with for years is working on a solo, with one showing only next weekend.
Chapter 1: persecution, blood and stories of the human spirit.
Concept and Performance – Gabrielle Nankivell
Soundtrack – Luke Smiles / motion laboratories
My sweat is my armour. Ecstasy is my shell and I am wrapped in the steely grace of determination that keeps the sunny moth away. I am on an empty set, held up by sound, beads of sweat and the roar of my life before. I am a gladiator. I live from the carrions of my own invention. I'm a warrior of beauty, a survivor, something of steel. I have strength, determination, power in failure and honour and grace in defeat.
You are invited to join us for the first showing of the initial development of Witch/Red. We welcome your presence and your feedback.
Where: ADT back studio, Wonderland Ballroom, 126 Belair Road, Hawthorn.
When: Saturday 5th April 2008, 7:30pm
Please RSVP by the 4th April so we can take into account seating.
gab@oxoxox.info
Categories: Australia, Dance, Europe, Gabrielle Nankivell, Kaurna Land (Adelaide), Music Tags: ADT Australian Dance Theatre, Contemporary Dance, Development, Luke Smiles, Performance
the tighter you squeeze
Lina is in Adelaide, working on a development of a new performance, with a showing next Friday. Lucky I'm here too so I get to see a bunch of new work in the next couple of weeks getting made by Adelaide's. More on the others in the next couple of days.
I would very much like to invite you to an exclusive showing of the first creative development of a new dance work by myself, Lina Limosani.
Currently titled "THE TIGHTER YOU SQUEEZE", the work is exploring the concepts of Attachment and Detachment.
Your presence and feedback would be greatly appreciated.
Please feel free to forward the invitation to others who may be interested in viewing the development.
Please RSVP to this email address if you wish to take up this opportunity.
Hope to see you there.
Lina Limosani
(a first development showing)
Friday 4th April, 7:15pm
Devised and directed by Lina Limosani
Choreographed by Lina Limosani and dancers
Dancers: Adam Synnott, Lisa Griffiths, Aisdair MacIndoe, Emma Stokes
Media Designer: Edmund Chiu
Ausdance Studio
Level 3, "The Atrium"
Station Arcade
lina limosani – the tighter you squeeze
Categories: Australia, Dance, Kaurna Land (Adelaide) Tags: Adam Synnott, Contemporary Dance, Development, Lina Limosani, Lisa Griffiths, Performance, Showings
Written on June 4, 2007
Author: Frances d'Ath June 4, 2007
choreolab
Alison Croggon said to me, "I like drinking with theatre types, and those whom I drink with are pretty cool about the reviewing thing. There's this kind of unspoken pact that I am there to be honest, and we all have to put with it." So, seeing two of the choreographers I've already worked with, and several of the performers (who are often the choreographers also) are good friends, for me there's still this nervousness about how much detail do you want?
Ausdance SA's Choreolab is something of a development showcase for both emerging artists in Adelaide and those who have been around for a bit who are trying things out. In this context, and in a venue that is only really able to present the works as showings, I thought there were two works that I regarded as in some form of development and three others of the seven performances and films that whether or not in actuality finished had achieved something of a coherence that made me see them as complete.
Watching Sarah Cartwright dance, I realised my seat was perhaps not the best if I wanted to see someone lying on the floor through a forest of heads. So much of Where I've got So Far… was missing behind the lack of a clear line of sight. She was dressed in almost rehearsal clothes, comes in, lies down, and has this kinda corporeal almost smutty movement, part way through pauses, lies down a bit further upstage and partially caught in the uncovered mirrors of the studio vaguely repeats.
I've seen Sarah in class and in Melbourne in a workshop with Roz Warby, where I got curious about Barebones, and what they were doing hanging out with Roz, but never performing, so there's been this wondering what she actually becomes on stage. Sarah also has been spending time with Becky Hilton, and like none of the other pieces, this looked straight out of Melbourne. It was a really pleasant surprise to see her perform, and become this other person, who is intriguing to watch move.
Far from Becky, John Jasperse and all the rest of the New York thing, I guess this is the isolated evolution of a style. Sarah understands kinesthetically what she is doing when she moves like Becky, but so removed from the roots of this aesthetic, she's making it into something else, maybe softer, maybe less aggressive or precise or conscious, something new. Sometimes I did want to see her move twice as fast, or get carried away in the frenetic momentum of it, but this was one of the pieces I thought really was in development and would like to see go somewhere further.
The other piece that seemed like an excerpt, like reading a chapter from the middle of a book was Daniel Jaber's Swanhilda is a Punk. Before the show, I'd been sitting in a bookshop trying to read all of Neil Gaiman's American Gods, a menacing, dark work of Norse deities and unhealthy decay, worlds he has been an expert at since his graphic novel days of Sandman. As a violent, neck-slashing assault of nihilism I thought Daniel should be reading this and William T. Vollman's Viking crypto-histories, the scope for derangement and upsetting preternatural narrative subtexts could really be taken to extremes in his choreography.
There was in the style and execution a distinct ADT feeling, but like so much stuff in Melbourne a few years ago that looked like Chunky Move, it's more because the dancers in the company themselves make up the movement, which does engender a troubling notion of the Artistic Director as choreographer. Daniel I think has already a clear idea of movement beyond the repertoire of steps that I would love to see where it goes. I did want louder, dirtier, scarier, something verging on the monstrous sex fiends in Ghost in the Shell, and really, Alexandra Jezouin should be in ADT (and I did feel nervous that I was sitting next to Daniel).
The three other works that I saw as closer to finished if indeed already there were all films. Firstly Alison Currie's whom I've been staying with and saw Mr Potato Head in her lounge. Long, languid shots of a foot, clad in stocking or shoe, so I was thinking, "mmmmm foot porn", then vulnerable close-ups of her looking into the camera, somewhat in part profile as if not wanting to submit a direct gaze, and long unsteady handheld voyeuristic glimpses of her in public places, doing headstands in the railway station to the consternation of a black-clad woman sitting on the same bench, or in a busy concourse.
Post-Tracey Emin, there is a glut of shoddily made and embarrassingly personal video art by and about the artist, styled as the conceptual art of this decade is me, and often it achieves some semblance of art through sheer repetition but mostly is derivative, boring, mediocre and just crappy. Alison, possibly because she's making dance is nothing like this, though superficially in the vaguely the same conceptual region. I was reminded more of Cindy Sherman's untitled film stills or Laurie Anderson's 1980s New York performance art. And she has a development coming up soon, so more dance for Adelaide.
Sam Oster and Felecia Hick's Circuit to me looked like an advertisement for an airline or an electricity company, slick and with much post-production. As a dance film it just washed over me, coupled with what is the contemporary dance equivalent of elevator music, the ambient electronic soundscape.
There were a number of pieces that used this non-committal soundtrack, including Sarah's and at times Amanda Phillips's 3XPERIMENTIA, with Alexander Mitchell who is a highly talented composer. His score mostly was far from this but occasionally slipped back a decade to Squarepusher's drum-machine freakouts that were unheard of then but now … it seems too easy. For dance, electronic music is dangerously close to being an unmemorable dead end.
Amanda's film with special 3-D glasses and LSD psychedelia is only an early development of a larger interactive performance, but as a film I thought it should be shown everywhere, now. Gala Moody and Lisa Griffiths perform, occasionally with a black horse, a store full of mannequins, and themselves in reflection and across time and haircuts. Visually the 3-D effect is magnificent and makes for phenomenal dance, even without the glasses, the subtle effects on the video, grading, contrast, saturation make for a dreamlike swirl of inky blackness and luminous bodies.
My one criticism in this is the use of an effect something like solarisation, that leaves the bodies mostly as outlines. I thought this was really an effect for the sake of it, and heavy-handed at that. The beauty in the film lies in its subtlety, the use of stereoscopic filming and projection is complex and vital enough in itself, that only the softest of changes are necessary to induce striking differences in feel and emotion.
The first time I saw it, Lisa with the mannequin's arm, a slow-motion seduction, then both of them hidden amidst the torsos and limbs, it was straight from Kes in Bladerunner. Amanda said she'd done some extra filming of Gala, then with shoulder length blonde hair, now with shaved head, and the two bodies overlapping, arm and fingers reaching out, caressing an invisible face, one Gala with hair the other without is the most unsettling, powerful and human moment in the entire film and evening.
Categories: Australia, Dance, Film & Video, Gala Moody, Kaurna Land (Adelaide), Music Tags: Amanda Phillips, Ausdance, Contemporary Dance, Dance Film, Development, Lisa Griffiths, Performance
Written on May 28, 2006
Author: Frances d'Ath May 17, 2018
云浮, 汕尾, 太石 and other holiday places
Periodically, I write about stuff in China that has little at first glance to do with making dance and art. Mostly my focus is centered on Guangdong as this is where I live when I am in China. My art is primarily concerned with the destitution of humanity, and I think there is little more destitute than for someone to have their entire life, history, home, means of eating and earning a living stolen from them by cadres who are no better than imperial thugs reigning over their personal fiefdoms. The Guardian had an excellent article this weekend on rural land-grabs and peasant protests, specifically in 云浮 Yunfu, 汕尾 Shanwei, and 太石 Taishi in Guangdong Province.
Among the most explosive books in recent years was an exposé of torture, murder and exploitation of peasants by brutal local officials. A Survey Of Chinese Peasants, by Chen Guidi and Wu Chuntao, was quickly banned by the authorities, who feared it might spark unrest, but pirate copies continue to be widely circulated and an English version – retitled Will The Boat Sink The Water – has recently been published. The authors lay it out plainly: "It is safe to say that the edifice of China's industry is built from the flesh and blood of toiling peasants and urban development was achieved through their pain and sacrifice."
— The Guardian
shanwei
Categories: China 中国 中國, Guangzhou 广州 廣州, Politics, Words Tags: Corruption, Development, Guangdong, Taishi, 云浮, 太石, 广东, 汕尾
endless city
In one of my earlier science-fiction gorges, populated mostly by Isaac Asimov, Arthur C. Clarke, occasionally Philip K. Dick, and a perpetual shallow sea of forgotten genre-ensnared library detritus, there was a story, I think short, about a person trapped in an endless city, layers of apartment blocks laid out on meshes of grids, insurmountable, and sliced by taut wires of train lines. Was a city block detonated, leaving the viscera hanging on the sides of those monstrosities more fortunate, or am I confusing this with my 2000AD Mega-City 1 days?
Anyhow, the protagonist sought to escape by catching a train, which went in an unwavering straight line, yet which took its occupants back to where they started, or to somewhere identical, a burning, heat-slicked municipal hell. The closest a movie got to imagining the miasma this city possessed for me was of course Blade Runner.
Looking out from the 8th floor windows of Park19, windows that a – thankfully – harnessed (though attached to the table by frail hemp rope and mortifying carabiner) air-conditioning repairman had been recently swinging out of, across the the southern districts to the dockyards, the sky a petulant sulphuric haze made vaporous and intangible by rising humidity, I thought of nothing other than this was the city the train ran through.
towards fangcun in the setting sun
through jiangnan towers to the dockyards
from park19 to the power plant
Categories: apocalypse prd 岭南启示录, China 中国 中國, Culture, Guangzhou 广州 廣州 Tags: Cities, Development, Haizhu District, Urban, 海珠区
Author: Frances d'Ath April 15, 2018
guangdong #1
The centre of the manufacturing universe, Guangdong Provence now has the largest population in China. Bigger than most countries even it's hit 110 million, with a migrant worker population in that total of 31 million, most of them in Dongguan and other salubrious holiday resorts. The figure doesn't include illegal or unregistered migrants, so like the official population which just hit 1.3 billion, there's probably a few million more swimming around the province.
Guangdong Province, one of the economic powerhouse in China, has replaced central Henan Province to become the most populous region in the country, Guangdong Provincial Governor Huang Huahua announced Friday.
The figure includes 79 million registered permanent residents and 31 million migrants who have lived in Guangdong for more than six months, Huang said at the on-going Third Session of the 10th provincial People's Congress.
Elaborating the major reason for the change, Huang said that though Henan and Sichuan are the most populous regions in China, residents from the two provinces have come to Guangdong in recent years looking for jobs.
As the Pearl River Delta is now teemed with temporary migratory workers from elsewhere in China, acknowledged Huang, the provincial government will move some of them to the eastern and western parts of Guangdong and some mountainous areas.
Previously, Henan Province was China's most populous region with a registered permanent population of 94.72 million.
— China Daily
guangzhou beautiful one day perfect the next
Categories: China 中国 中國, Culture, Guangzhou 广州 廣州, Politics, Science Tags: Development, Geography, Migration, Population, Urban
give me toilet architecture or give me death
Professor Yu is going to be taking alot of shit for a while for thinking Rem Koolhaas should apologise for the Beijing CCTV building, and bagging him and other western architects for not coming to China as teachers.
His whining, which makes him sound like a spoilt brat who didn't get picked to hang with the cool kids at school is accompanying his unsuccessful attempts to hawk more work for himself as a Beijing architect. Coming after the 中国国际建筑艺术双年展 1st Architecture Biennale – Beijing, his shrill self-aggrandisement, and parochial reference to 5000 years of Chinese history is dissembling to the real and critical issues of architecture and town planning in China at the moment.
Yu also makes no mention of Koolhaas's work in Beijing in 2002 to preserve the heritage of the city's hutongs. In short, he's a wanker, and the writers of the article should use spellcheck. It's Koolhaas, not Kohlhaas.
Yu in 2004:
The famous Western architects –Kohlhaas, Andrews –have to make a decision.They must know that a building is inappropriate for China, but they also must come up with the most outrageous design or they won't win the contract. So they are asked to choose –money and fame or a responsible attitude.
Of course, Kohlhaas was asked to build this, and I don't want to criticize his talent if he hadn't taken the contract, maybe some worse architect would have. But when Einstein developed nuclear power, he sent out a message when he admitted his regret I would like to see Kohlhaas set this example to other architects and planners in China and admit the building is unsuitable for Beijing.
Koolhaas in 2002:
Ensuring that Beijing's residents have visible evidence of how their city has evolved, Koolhaas asserts, is a necessary counterpoint to his forward-looking building designs. "I find it very important that we don't do hit-and-run projects," he says. "I don't want to be a carpetbagger. Westerners have really been, in a certain way, exploitative. They use the opportunities but they don't really think about the impact. We're trying to engage in a kind of systematic investigation of what—in the current circumstances and with the current economy—would be a plausible repertoire of urban forms. I think you can invent new forms that are about street life. That's what interests me: to maintain the specificity of this city."
koolhaas - cctv beijing
Categories: Architecture, China 中国 中國, Culture, Politics Tags: Beijing, Development, Urban
Written on November 20, 2004
《水火祭 disaster solemnity troy 特洛依》at huashan
In-between Co4 Documenta and UBU a bunch of artists and me spent a couple of hours sitting and drinking on the grass out the front of 華山創意文化園區 Huashan watching performances by local drumming, music and theatre groups. Not just a fun evening of free performance with a sound-system in serious need of tweaking though. Huashan, like Beijing's 大山字Dashanzi 798 Factories, Shanghai and Guangzhou artist villages is staring down the barrel of a gun at its own demise. In a bitter irony, the agents of Huashan's demise is the Council of Cultural Affairs. Like so many mid-20th century and earlier industrial sites, Brisbane's Powerhouse, London's Tate, Huashan could remain an amazing place for art, but more likely, it will be a place for the consumption of culture and the real artists, they'll have all moved on.
When Wu and other artists first came upon Huashan around 1997, it was a derelict group of Japanese-built warehouses that had lain unused for years. So they moved in and claimed it as a fringe art and performance space, something Taipei lacked.
Over the next two years, different groups grappled for the complex, one of the few large open areas in downtown Taipei. Through repeated protests (and drum circles), arts groups managed to secure the space under the management of the Association of Culture and Environmental Reform in Taiwan (藝術文化環境改造協會), beating out competing development plans, including one to build a new home for the Legislative Yuan on the site.
Ultimate administration of the land went over to the Council of Cultural Affairs (CCA)(文建會), the central government agency that last year adopted a new attitude towards Huashan, hoping to bring it under the umbrella of its Creative Industries push, a plan that extends to all sorts of cultural production from pop music to fine arts.
Last November, the CCA pushed out the Association of Cultural and Environmental Reform, granting management to a more commercial group and renaming the complex the Huashan Cultural and Creative Industry Center (華山創意文化園區).
Now the CCA wants to build a new skyscraper to use as its own offices. The building would be built within the walls of some still unused and un-renovated warehouses on the Huashan site, said Wu.
The proposed design, he said, would remove the structures' roofs (which are currently falling in) and leave the walls. The tower would be built inside the walls.
"It would destroy the feel of the place," said Wu.
"In the whole city, Huashan is really only the only arts space where you can still see the sky."
The NT$30 billion budget that would include continued renovation and development of the Huashan site, however, has not yet been ratified by the national legislature. The protests aim to stop or alter those plans.
huashan main tower
huashan graffiti
Categories: Art, Asia, Culture, Politics, Taipei 臺北, Taiwan 台湾 台灣 Tags: Artist Spaces, Development, Urban
Frances d'Ath – (choreography)
Frances d'Ath – (design)
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supernaut is Frances d'Ath. She has blogged here since 2004. You can find her performances and choreography at francesdath.info. Her design work is at francesdath.name. Frances would like to remind you that I am not my blog (though she likes WordPress very much).
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Aeon of Sands
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Monthly Update: May
Hello, and welcome back for our monthly Aeon of Sands update!
They came from the des… Ahem, rust ants make short work of Setrani.
What have we done the last weeks, you're probably asking?
We worked mostly on 3 areas: opponents, text presentation, and a new dynamic light system.
In addition to that, a bit of work was done on the games mazes, that are due for a major playthrough next week, when all of us devs will convene for a 72 hours stress test.
This playthrough will mark the start of the last leg of development!
A major NPC, Harro, from the concept to the greyscale animation.
Take the example above: that's Harro, a city guard, a soldier of the domed city where the game starts.
He was first imagined, character and purpose, as part of the game story in 2012; then his appearance designed the next year, you can see it in the left of the image, as his dialogues were written.
Last month he was finally greyscaled in animation, and these days he gets colored and completed.
The animation of the opponents is an ongoing task. The completion of the last ones will take us somewhere around the month of july. With that, all the graphic assets will be finally done!
There's a feeling of exhilarating freedom about it: >90% of the graphics are there, the engine is ready, the A.I. gets finetuned every week, and new mechanics implemented.
Now we can finally construct more complex scenarios, stage more challenging fights and have fun adding puzzles that we talked about for months.
From dialogue in-game illustration to finished animation!
Here above is another one, Calca, a very peculiar nomad ravager: a crazy lady who effortlessly travels the desert by herself, whereas doing that in AoS is a certain death sentence.
She was first introduced in the game dialogues in january 2014, and became a favorite toy of the story, a character getting a life of her own into it, despite the writer's original intention.
In the summer that year she got illustrated into the various scenes she appeared in, like the one in the upper part of the image above, and finally, last week, she got her complete animation in color, with her eyeglasses and bladed giant toothpick.
Text presentation
AoS leans on a large amount of dialogue' text that structure its story. This means that we have to be extra thoughtful in how we present the text to the players. We cannot have walls of words hampering you from actual enjoying the games story.
To achieve this goal, we started to change the dialogue font. This process went through many iterations, into a much more readable one. We passed from a bitmap-font we created 2,5 years ago, to creative commons fonts, ranging from 8 to 16 px.
But really, none of these fonts were both easy to read and with a style that fit with the narration of the game world.
The original font, intended for fullscreen, turned out not really readable.
In the end, we resorted to design our own truetype font, by the name of Pantella, our hero' city; it had to support a consistent display of text, at a size of about 16 px; it was to be modern (AoS is not a fairy tales game), with tall lowercase, and kerning and spacing to tie the narration, while separating words.
We used Fontstruct by Fontshop for the task, that lets you design your own fonts and release them with a Creative Commons license, if you like to.
The new font, aptly called Pantella.
Then we turned to the text formatting.
This is a task that will bleed into polishing the game and will be complete only with the final revision of the game texts, scheduled for the summer.
As you may know, we use a Löve 2D as engine. Therefore lighting, even a fake lighting shader is a bit tricky. The problem: We have no real 3D engine and therefore we have no 3d model you can throw at the glsl lighting shader.
After some research, a friend of us had the amazing idea. We developed a deferred rendering approach with a precalculated depth pass. Here you see our very new lightning system in action.
GLSL lighting shader in action (this was only a test)
Here is a small sample of an ambient moving lightsource (disabled Adblock or Ghostery to see this tweet).
I enhanced our dynamic lighting in @aeonofsands . It's basically a special 2d deferred shading. #screenshotsaturday pic.twitter.com/djTDxXikJ3
— Aeon of Sands (@aeonofsands) 14. Mai 2016
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I can see the same thing unfolding here."If they're able to get another star player to act as a counter-balance for Thomas, the matchup with the Cavs changes greatly.With high draft picks, tradable assets and salary-cap space, that player might be coming -- eventually.If you're looking for a team that has the package to pull an upset, they're it. Now you can hide him on [Iman] Shumpert or if they play [De Andre] Liggins or [Kay] Felder. He has two 30-point games this season and has repeatedly exploited them by using his shiftiness to draw fouls.But they'd need help from Cleveland probably."Said another scout: "They might be able to beat Cleveland this week because they don't have their full team. He's 27-of-27 at the line against the Cavs this season and 49-of-52 over the past two seasons.That's a relevant question today as they head into a game in Boston against the Celtics (8 ET, ESPN), currently owners of the No. So we asked a collection of scouts and league executives: Could you see the Celtics upsetting the Cavs if they were to meet in the conference finals?"When you watch the Cavs play now you see how much confidence they play with.But he didn't arrive in time to affect this year's playoffs. They all help Thomas on defense, but they can't always help him on offense.
And they're very well coached, they get baskets out of timeouts late in games and they squeeze points out with coaching moves. and [Kyle] Korver, they can really take advantage of him."Thomas has had some big games against the Cavs, averaging 24.4 points over the past two seasons.The lone Celtics victory came in miraculous fashion last season in Cleveland, where they managed to execute a five-point possession after falling down by four with just eight seconds to play.Avery Bradley finished it with a 3-pointer at the buzzer.Other than stealing that one, it has been all Cavs."They don't care about any of that," said an Eastern Conference scout about the Celtics."These guys play fearless, and they fight every game, no matter the circumstances. Would I be shocked if they pulled an upset on Cleveland in the playoffs? In November, the Cavs were up 17 going into the fourth quarter before a now standard Isaiah Thomas-led fourth-quarter surge made it tight at the end.


text:
Q: Issue with stripos and digits for example I have current link on which I want to redirect:
   if(stripos($_SERVER['REQUEST_URI'], 'post.php?post=5')!==false){
   //redirect
   }

But if the post ID would be post=55 it will redirect too... How to solve this problem ?

A: Why don't you use $_GET variable?
if (isset($_GET['post']) && $_GET['post'] == 5) {
  ...
}

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