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MathNet 2026 — Part 03 Question 108

Math Olympiad Vault · MathNet 2026 — Part 03

Question 108

It is known that a regular dodecahedron is a regular polyhedron with 12 equal pentagonal faces and concurring 3 edges at each vertex. Reasoned 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 rectilinear segments determined by every two vertices,
d) The number of diagonals of the dodecahedron.