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# antiprism

An *antiprism* is a prismatoid whose bases are congruent and whose lateral faces are congruent triangles.

An antiprism can be used to construct an icosahedron: Let $A$ be an antiprism with regular pentagons as its bases and equilateral triangles as its lateral faces. To each base of $A$, attach a right pentagonal pyramid whose base is congruent to the bases of $A$ and whose lateral faces are equilateral triangles.

For any integer $n\geq 3$, the following are equivalent statements about an antiprism $A$:

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## Mathematics Subject Classification

51M20*no label found*51M04

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## Comments

## antiprism

As I noticed that this was not defined yet on PM, I felt that it should be added. I chose to add it myself rather than request it for the following reasons:

1. I wanted the icosahedron example included.

2. I wanted the equivalent conditions about antiprisms included.

As for everything else, including the cumbersome wording of the definition, I welcome any assistance you are willing to provide.