Pentachoron

Pentachoron

Alternative names

* 5-cell
* 4-simplex
* Pentatope
* Pentahedroid (Henry Parker Manning)
* Pen (Jonathan Bowers: for pentachoron)
* Hyperpyramid

Related polychora

The pentachoron (5-cell) is the simplest of 9 uniform polychora constructed from the [3,3,3] Coxeter group:

References

*H. S. M. Coxeter, "Regular Polytopes", 3rd. ed., Dover Publications, 1973. ISBN 0-486-61480-8.

External links

*
*GlossaryForHyperspace | anchor=Pentachoron | title=Pentachoron
** [http://members.aol.com/Polycell/section1.html (1) Convex uniform polychora based on the pentachoron]
* [http://www.polytope.de/c5.html Der 5-Zeller (5-cell)] Marco Möller's Regular polytopes in R4 (German)
* [http://members.aol.com/hedrondude/regulars.html Jonathan Bowers, Regular polychora]


Wikimedia Foundation. 2010.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • Pentachoron — Regelmäßiger Pentachoron (5 Zeller) Schlegeldiagramm (Ecken und Kanten) Typ Regelmäßiges Polychoron Familie Simplex Zellen 5 (3.3.3) …   Deutsch Wikipedia

  • pentachoron — noun A four dimensional object equivalent to a tetrahedron …   Wiktionary

  • Runcinated pentachoron — (Elongate equilateral triangular antiprism) 2 ( 3.3.3 ) and 6 ( 3.4.4 )] In four dimensional geometry, the runcinated pentatope is a 4 dimensional convex uniform polytope (or uniform polychoron) constructed by expanding the cells of a pentatope… …   Wikipedia

  • Truncated 5-cell — 5 cell …   Wikipedia

  • Runcinated 5-cell — 5 cell …   Wikipedia

  • Pentatop — Regelmäßiger Pentachoron (5 Zeller) Schlegeldiagramm (Ecken und Kanten) Typ Regelmäßiges Polychoron Familie Simplex Zellen 5 (3.3.3) …   Deutsch Wikipedia

  • Bitruncated 5-cell — In four dimensional geometry, the bitruncated 5 cell, or bitruncated pentachoron, is a 4 dimensional polytope, or polychoron, composed of 10 cells in the shape of truncated tetrahedra. Each hexagonal face of the truncated tetrahedra is joined in… …   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

  • Rectified 5-cell — Schlegel diagram with the 5 tetrahedral cells shown. Type Uniform polychoron Schläfli symbol t1{3,3,3} Coxeter Dynkin diagram …   Wikipedia

  • Cantellated 5-cell — In four dimensional geometry, the cantellated 5 cell is a uniform polychoron. Alternate names * Cantellated pentachoron * Cantellated 4 simplex * (small) prismatodispentachoron * Rectified dispentachoron * Srip (Jonathan Bowers: for small… …   Wikipedia

Share the article and excerpts

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