- Triakis octahedron
A

**triakis octahedron**is an Archimedean dual solid, or aCatalan solid . Its dual is thetruncated cube .It can be seen as an

octahedron with triangular pyramids added to each face, and is also sometimes called a**trisoctahedron**, or, more fully,**trigonal trisoctahedron**. Both names reflect the fact that it has three triangular faces for every face of an octahedron. The "tetragonal trisoctahedron" is another name for thedeltoidal icositetrahedron , a different polyhedron with three quadrilateral faces for every face of an octahedron.This convex polyhedron is topologically similar to the concave

stellated octahedron . They have the same face connectivity, but the vertices are in different relative distances from the center.**Cultural references*** A triakis octahedron is a vital element in the plot of cult author Hugh Cook's novel

The Wishstone and the Wonderworkers .**References*** (Section 3-9)

**External links***

* [*http://polyhedra.org/poly/show/34/triakis_octahedron Triakis Octahedron*] -- Interactive Polyhedron Model

* [*http://www.lifeisastoryproblem.org/explore/net_triakisoctahedron.pdf Printable Net of a Triakis Octahedron*] [*http://www.lifeisastoryproblem.org Life is a Story Problem.org*]

* [*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/triakisoctahedron.wrl model*]

** [*http://www.georgehart.com/virtual-polyhedra/conway_notation.html Conway Notation for Polyhedra*] Try: "dtC"

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