regular dodecahedron
Source: Spanish Mathematical Olympiad 1974 P1
December 23, 2022
geometry3D geometrycombinatorial geometrydodecahedron
Problem Statement
It is known that a regular dodecahedron is a regular polyhedron with faces of equal pentagons and concurring edges in each vertex. It is requested to calculate, reasonably,
a) the number of vertices,
b) the number of edges,
c) the number of diagonals of all faces,
d) the number of line segments determined for every two vertices,
d) the number of diagonals of the dodecahedron.