Pentagonal antiprism

In geometry, the pentagonal antiprism is the third in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps. It consists of two pentagons joined to each other by a ring of 10 triangles for a total of 12 faces. Hence, it is a non-regular dodecahedron.


If the faces of the pentagonal antiprism are all regular, it is a semiregular polyhedron. It can also be considered as a "parabidiminished icosahedron". The two pentagonal faces can be stellated to form the icosahedron.

Relation to polytopes

The pentagonal antiprism occurs as a constituent element in some higher-dimensional polytopes. Two rings of 10 pentagonal antiprisms each bound the hypersurface of the 4-dimensional grand antiprism. If these antiprisms are stellated into pentagonal prism pyramids and linked with rings of 5 tetrahedra each, the 600-cell is obtained.

See also

* Set of antiprisms
* Octahedron Triangle-capped antiprism
* Square antiprism
* Hexagonal antiprism
* Octagonal antiprism

External links

* [ Pentagonal Antiprism: Interactive Polyhedron Model]
* [ Virtual Reality Polyhedra] The Encyclopedia of Polyhedra
** VRML [ model]
** [ Conway Notation for Polyhedra] Try: "A5"
* [ Printable Net of a Pentagonal Antiprism] [ Life is a Story]

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