How many vertices does a diamond have?

Question

Discrete Math

A diamond whose faces are all triangles has 16 faces, how many vertices does it have?

Answer 1

Number of sides of triangles: 16*3=48.
Since the sides of the figures are connected in pairs, the number of edges: 48/2=24.
Euler's theorem: V-P + G \u003d 2
V \u003d P - G + 2 \u003d 24 - 16 + 2 \u003d 10.