2012 ToT Fall Senior O p2 all faces of polyhedron are congruent / regular
Source:
March 22, 2020
convex polyhedronregular polygoncongruentcombinatorial geometrygeometry
Problem Statement
Given a convex polyhedron and a sphere intersecting each its edge at two points so that each edge is trisected (divided into three equal parts). Is it necessarily true that all faces of the polyhedron are
(a) congruent polygons?
(b) regular polygons?