Demienneract

Demienneract

A demienneract or 9-demicube is a uniform 9-polytope, constructed from the 9-hypercube, enneract, with alternated vertices deleted. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes.

Coxeter named this polytope as 161 from its Coxeter-Dynkin diagram, with a ring on one of the 1-length Coxeter-Dynkin diagram branches.

See also

* 9-polytope
* Demihypercube

References

* John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, "The Symmetry of Things" 2008, ISBN 978-1-56881-220-5 (Chapter 26. pp. 409: Hemicubes: 1n1)

External links

*GlossaryForHyperspace | anchor=half | title=Demienneract
* [http://tetraspace.alkaline.org/glossary.htm Multi-dimensional Glossary]


Wikimedia Foundation. 2010.

Игры ⚽ Поможем решить контрольную работу

Look at other dictionaries:

  • 9-demicube — Demienneract (9 demicube) Petrie polygon Type Uniform 9 polytope Family demihypercube Coxeter symbol 161 Schläfli symbol …   Wikipedia

  • 10-demicube — Demidekeract (10 demicube) Petrie polygon projection Type Uniform 10 polytope Family demihypercube Coxeter symbol 171 Schläfli symbol …   Wikipedia

  • List of mathematics articles (D) — NOTOC D D distribution D module D D Agostino s K squared test D Alembert Euler condition D Alembert operator D Alembert s formula D Alembert s paradox D Alembert s principle Dagger category Dagger compact category Dagger symmetric monoidal… …   Wikipedia

  • Demihypercube — Not to be confused with Hemicube (geometry). Alternation of the n cube yields one of two n demicubes, as in this 3 dimensional illustration of the two tetrahedra that arise as the 3 demicubes of the 3 cube. In geometry, demihypercubes (also… …   Wikipedia

  • Enneract — An enneract is a nine dimensional hypercube with 512 vertices, 2304 edges, 4608 square faces, 5376 cubic cells, 4032 tesseract 4 faces, 2016 penteract 5 faces, 672 hexeract 6 faces, 144 hepteract 7 faces, and 18 octeract 8 faces.The name enneract …   Wikipedia

  • Enneacross — An enneacross, is a regular 9 polytope with 18 vertices, 144 edges, 672 triangle faces, 2016 octahedron cells, 4032 5 cells 4 faces , 5376 5 faces , 4608 6 faces , 2304 7 faces , and 512 8 faces .It is one of an infinite family of polytopes,… …   Wikipedia

Share the article and excerpts

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