Gosset 2 51 honeycomb

Gosset 2 51 honeycomb

In 8-dimensional geometry, the 251 honeycomb is a space-filling uniform tessellation. It is composed of 241 polytope and 8-simplex facets arranged in a demiocteract vertex figure.

It is represented by Coxeter-Dynkin diagram::

It is the final figure in the 2k1 polytope family.

See also

* E8 lattice

References

* Coxeter "The Beauty of Geometry: Twelve Essays", Dover Publications, 1999, ISBN 978-0-486-40919-1 (Chapter 3: Wythoff's Construction for Uniform Polytopes)
* Coxeter "Regular Polytopes" (1963), Macmillian Company
** "Regular Polytopes", Third edition, (1973), Dover edition, ISBN 0-486-61480-8 (Chapter 5: The Kaleidoscope)


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