Knop K.A.

There is a paper square with a side of 2. Can a 12-sided polygon be cut out of it, where all sides are equal to 1, and all angles are multiples of $45^{\circ}$?
See fig. Points $A, B, C, D$ lie on the midlines of the given square and form a square with side $\sqrt{2}-1$.

![](https://cdn.mathpix.com/cropped/2024_05_06_c07b2c4be0d3dcbcc4e5g-14.jpg?height=1163&width=1189&top_left_y=1048&top_left_x=412)

Answer

It is possible.