Find the ratio x/y
Source:
August 29, 2010
geometry3D geometrypolyhedronanglesEuler s TheoremIMO Shortlist
Problem Statement
A polyhedron has faces and is such that:(i) all faces are isosceles triangles,
(ii) all edges have length either or ,
(iii) at each vertex either or edges meet, and
(iv) all dihedral angles are equal.Find the ratio