Octahedron with congruent quadrangle sides
Source:
September 13, 2010
geometry3D geometryoctahedrongeometry unsolved
Problem Statement
a) Let be the set of the lengths of the edges of an octahedron whose sides are congruent quadrangles. Prove that has at most three elements.b) Let an octahedron whose sides are congruent quadrangles be given. Prove that each of these quadrangles has two equal sides meeting at a common vertex.