  Dynamics of a Regge three-dimensional (3D) manifold in a continuous time is
considered. The manifold is closed consisting of the two tetrahedrons with
identified corresponding vertices. The action of the model is that obtained via
limiting procedure from the general relativity (GR) action for the completely
discrete 4D Regge calculus. It closely resembles the continuous general
relativity action in the Hilbert-Palatini (HP) form but possesses finite number
of the degrees of freedom. The canonical structure of the theory is described.
Central point is appearance of the new relations with time derivatives not
following from the Lagrangian but serving to ensure completely discrete 4D
Regge calculus origin of the system. In particular, taking these into account
turns out to be necessary to obtain the true number of the degrees of freedom
being the number of linklengths of the 3D Regge manifold at a given moment of
time.

General Relativity and Quantum Cosmology