can a polyhedron have 10 faces, 20 edges and 15 vertices?
V = 15
E = 20
F = 10
Let's begin by introducing the protagonist of this story — Euler's formula:
V - E + F = 2.
15 - 20 + 10 = 2
-5 + 10 = 2
5 = 2
So, it cannot be formed
can a polyhedron have 10 faces, 20 edges and 15 vertices?
V = 15
E = 20
F = 10
Let's begin by introducing the protagonist of this story — Euler's formula:
V - E + F = 2.
15 - 20 + 10 = 2
-5 + 10 = 2
5 = 2
So, it cannot be formed