In seven-dimensional
geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...
, a stericated 7-orthoplex is a convex
uniform 7-polytope with 4th order
truncations (
sterication) of the regular
7-orthoplex.
There are 24 unique sterication for the 7-orthoplex with permutations of truncations,
cantellations, and
runcinations. 14 are more simply constructed from the
7-cube.
This polytope is one of 127
uniform 7-polytopes with B
7 symmetry.
Stericated 7-orthoplex
Alternate names
* Small cellated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
Images
Steritruncated 7-orthoplex
Alternate names
* Cellitruncated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
Images
Bisteritruncated 7-orthoplex
Alternate names
* Bicellitruncated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
Images
Stericantellated 7-orthoplex
Alternate names
* Cellirhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
Images
Stericantitruncated 7-orthoplex
Alternate names
* Celligreatorhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
Images
Bistericantitruncated 7-orthoplex
Alternate names
* Bicelligreatorhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
Images
Steriruncinated 7-orthoplex
Alternate names
* Celliprismated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
Images
Steriruncitruncated 7-orthoplex
Alternate names
* Celliprismatotruncated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
Images
Steriruncicantellated 7-orthoplex
Alternate names
* Celliprismatorhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
Images
Steriruncicantitruncated 7-orthoplex
Alternate names
* Great cellated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)
[Klitizing, (x3x3x3x3x3o4o - )]
Images
Notes
References
*
H.S.M. Coxeter
Harold Scott MacDonald "Donald" Coxeter, (9 February 1907 – 31 March 2003) was a British and later also Canadian geometer. He is regarded as one of the greatest geometers of the 20th century.
Biography
Coxeter was born in Kensington t ...
:
** H.S.M. Coxeter, ''Regular Polytopes'', 3rd Edition, Dover New York, 1973
** 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,
*** (Paper 22) H.S.M. Coxeter, ''Regular and Semi Regular Polytopes I'',
ath. Zeit. 46 (1940) 380-407, MR 2,10*** (Paper 23) H.S.M. Coxeter, ''Regular and Semi-Regular Polytopes II'',
ath. Zeit. 188 (1985) 559-591*** (Paper 24) H.S.M. Coxeter, ''Regular and Semi-Regular Polytopes III'',
ath. Zeit. 200 (1988) 3-45*
Norman Johnson ''Uniform Polytopes'', Manuscript (1991)
** N.W. Johnson: ''The Theory of Uniform Polytopes and Honeycombs'', Ph.D.
*
External links
Polytopes of Various Dimensions
{{Polytopes
7-polytopes