View source for Decagonal antiprism

{{Prism polyhedra db|Prism polyhedron stat table|AP10}}
In [[Geometry|geometry]], the '''decagonal antiprism''' is the eighth in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps.

Antiprisms are similar to [[Prism (geometry)|prism]]s except the bases are twisted relative to each other, and that the side faces are triangles, rather than quadrilaterals.

In the case of a regular 10-sided base, one usually considers the case where its copy is twisted by an angle 180°/''n''. Extra regularity is obtained by the line connecting the base centers being perpendicular to the base planes, making it a '''right antiprism'''. As faces, it has the two ''n''-gonal bases and, connecting those bases, 2''n'' isosceles triangles.

If faces are all regular, it is a [[Semiregular polyhedron|semiregular polyhedron]].

== See also ==

== External links ==
* {{mathworld | urlname = Antiprism | title = Antiprism }}
* [https://web.archive.org/web/20080908051028/http://polyhedra.org/poly/show/31/decagonal_antiprism Decagonal Antiprism: 3-d polyhedron model]
* [http://www.georgehart.com/virtual-polyhedra/vp.html Virtual Reality Polyhedra] www.georgehart.com: The Encyclopedia of Polyhedra
** [[VRML]] [http://www.georgehart.com/virtual-polyhedra/vrml/decagonal_antiprism.wrl model]
* [http://levskaya.github.io/polyhedronisme/?recipe=C100A10 polyhedronisme] A10

[[Category:Prismatoid polyhedra]]


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