TOT 255 1990 Spring O S3 combo geo with dodecahedron , icosahedron
Source:
June 8, 2024
geometry3D geometryicosahedrondodecahedron
Problem Statement
(a) Some vertices of a dodecahedron are to be marked so that each face contains a marked vertex. What is the smallest number of marked vertices for which this is possible?(b) Answer the same question, but for an icosahedron.(G. Galperin, Moscow)(Recall that a dodecahedron has pentagonal faces which meet in threes at each vertex, while an icosahedron has triangular faces which meet in fives at each vertex.)