- Gosset 3 31 honeycomb
In 8-dimensional
geometry , the 331 honeycomb is a uniform honeycomb, also given bySchlafli symbol {33,3,1}.It has a 231 polytope
vertex figure , and is composed of 231 and7-simplex facets, with 56 and 576 of them respectively around each vertex.It is represented by
Coxeter-Dynkin diagram ::See also
*
8-polytope
*Gosset 1 33 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]
Wikimedia Foundation. 2010.