It is known that a regular dodecahedron is a regular polyhedron with 12 faces of equal pentagons and concurring 3 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. geometry3D geometrycombinatorial geometrydodecahedron