A pentagram is a five pointed star and has 10 vertices. So, a pentagram prism has 20 vertices.
This is NOT the same as a pentagonal prism.
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A pentagonal prism has 10 vertices. A rectangular prism has 8 vertices. Therefore, a pentagonal prism has 2 more vertices than a rectangular prism.
14 vertices
A decagonal prism has 20 vertices: 10 at each end.
A hexagonal prism has 18 edges and 12 vertices.
A square pyramid has 5 vertices. A triangular prism has 6 vertices.