alleryA convex polyhedron has 8 triangular faces. Each edge meets two faces. How many vertices are there?
A12 vertices
B6 vertices
C8 vertices
D4 vertices
Answer & Solution
Correct answer: B. 6 vertices
The faces have 8 × 3 = 24 edge incidences, so E = 12; Euler then gives V = 2 + 12 − 8 = 6.
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