polyhedron pasted over with these two shawls without overlap
Source: 2008 Oral Moscow Geometry Olympiad grades 10-11 p5
October 14, 2020
geometrypolyhedron3D geometry
Problem Statement
There are two shawls, one in the shape of a square, the other in the shape of a regular triangle, and their perimeters are the same. Is there a polyhedron that can be completely pasted over with these two shawls without overlap (shawls can be bent, but not cut)?(S. Markelov).