Gosset 1 33 honeycomb

Gosset 1 33 honeycomb

In 8-dimensional geometry, the 133 honeycomb is a uniform honeycomb, also given by Schlafli symbol {31,3,3}.

It has a trirectified 7-simplex vertex figure, and is composed of 132"' polytope facets.

It is represented by Coxeter-Dynkin diagram::

See also

* 8-polytope
* Gosset 3 31 honeycomb

References

* H.S.M. Coxeter, "Regular Polytopes", 3rd Edition, Dover New York, 1973
* Coxeter "The Beauty of Geometry: Twelve Essays", Dover Publications, 1999, ISBN 978-0-486-40919-1 (Chapter 3: Wythoff's Construction for Uniform Polytopes)
* Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995, ISBN 978-0-471-01003-6 [http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471010030.html]
** (Paper 24) H.S.M. Coxeter, "Regular and Semi-Regular Polytopes III", [Math. Zeit. 200 (1988) 3-45]


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