Heptapeton

Heptapeton

A heptapeton, or hepta-6-tope is a 6-simplex, a self-dual regular 6-polytope with 7 vertices, 21 edges, 35 triangle faces, 35 tetrahedral cells, 21 5-cell 4-faces, and 7 5-simplex 5-faces.

The name "heptapeton" is derived from "hepta" for seven facets in Greek and "-peta" for having five-dimensional facets, and "-on".

See also

* Other regular 6-polytopes:
** Hexeract - {4,3,3,3,3,3}
** Hexacross - {3,3,3,3,3,4}
* Others in the simplex family
** Tetrahedron (3-simplex)- {3,3}
** Pentachoron or 5-cell (4-simplex) - {3,3,3}
** 5-simplex - {3,3,3,3}
** 6-simplex - {3,3,3,3,3}
** 7-simplex - {3,3,3,3,3,3}
** 8-simplex - {3,3,3,3,3,3,3}
** 9-simplex - {3,3,3,3,3,3,3,3}
** 10-simplex - {3,3,3,3,3,3,3,3,3}

External links

* [http://members.aol.com/Polycell/glossary.html#simplex Glossary for hyperspace]
* [http://www.polytope.net/hedrondude/topes.htm Polytopes of Various Dimensions]
* [http://tetraspace.alkaline.org/glossary.htm Multi-dimensional Glossary]


Wikimedia Foundation. 2010.

Игры ⚽ Нужно сделать НИР?

Look at other dictionaries:

  • Pentellated 6-simplex — 6 simplex …   Wikipedia

  • Simplex — For other uses, see Simplex (disambiguation). A regular 3 simplex or tetrahedron In geometry, a simplex (plural simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimension. Specifically, an n… …   Wikipedia

  • List of mathematics articles (H) — NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… …   Wikipedia

  • Hexeract — A hexeract is a name for a six dimensional hypercube with 64 vertices, 192 edges, 240 square faces, 160 cubic cells, 60 tesseract 4 faces, and 12 penteract 5 faces.The name hexeract is derived from combining the name tesseract (the 4 cube ) with… …   Wikipedia

  • Hexacross — A hexacross, is a regular 6 polytope with 12 vertices, 60 edges, 160 triangle faces, 240 octahedron cells, 192 5 cell 4 faces , and 64 5 faces .It is a part of an infinite family of polytopes, called cross polytopes or orthoplexes . The dual… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”