Problem #PRU-88235

Problems Geometry Plane geometry Convex and non-convex figures Convex polygons Combinatorics Partitions Various dissection problems

Problem

A square piece of paper is cut into 6 pieces, each of which is a convex polygon. 5 of the pieces are lost, leaving only one piece in the form of a regular octagon (see the drawing). Is it possible to reconstruct the original square using just this information?