Convex Polyhedron with 100 Edges
Source: Spring 2006 Tournament of Towns Senior O-Level #1
September 9, 2015
3D geometrygeometry
Problem Statement
All vertices of a convex polyhedron with 100 edges are cut off by some planes. The planes do not intersect either inside or on the surface of the polyhedron. For this new polyhedron find
a) the number of vertices; (1 point)
b) the number of edges. (2 points)