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Cantitruncated 600-cell

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{| class="wikitable" align="right" style="margin-left:10px" width="250" !bgcolor=#e7dcc3 colspan=2| |- |bgcolor=#ffffff align=center colspan=2|
Schlegel diagram |- |bgcolor=#e7dcc3|Type||Uniform polychoron |- |bgcolor=#e7dcc3|Uniform index||45 |- |bgcolor=#e7dcc3|Coxeter-Dynkin diagram|| |- |bgcolor=#e7dcc3|Cells||1440 total:
120 5.6.6
720 4.4.5
600 4.6.6 |- |bgcolor=#e7dcc3|Faces||8640:
3600{4}1440{5}
3600{6} |- |bgcolor=#e7dcc3|Edges||14400 |- |bgcolor=#e7dcc3|Vertices||7200 |- |bgcolor=#e7dcc3|Vertex figure||
sphenoid |- |bgcolor=#e7dcc3|Schläfli symbol|| t_0,1,2{3,3,5} |- |bgcolor=#e7dcc3|Symmetry group||H₄, [3,3,5] |- |bgcolor=#e7dcc3|Properties||convex |} In geometry, the cantitruncated 600-cell is a uniform polychoron.

References

• Kaleidoscopes: Selected Writings of H.S.M. Coxeter, editied 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 22) H.S.M. Coxeter, Regular and Semi-Regular Polytopes I, »Zeit. 46 (1940) 380-407, MR 2,10
  • (Paper 23) H.S.M. Coxeter, Regular and Semi-Regular Polytopes II, »Zeit. 188 (1985) 559-591
  • (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, »Zeit. 200 (1988) 3-45
• J.H. Conway and M.J.T. Guy: Four-Dimensional Archimedean Polytopes, Proceedings of the Colloquium on Convexity at Copenhagen, page 38 und 39, 1965
• N.W. Johnson: The Theory of Uniform Polytopes and Honeycombs, Ph.D. Dissertation, University of Toronto, 1966
• »Four-dimensional Archimedean Polytopes (German), Marco Möller, 2004 PhD dissertation »http://www.sub.uni-hamburg.de/opus/volltexte/2004/2196/pdf/Dissertation.pdf

External links

• »Archimedisches Polychor Nr. 61 (cantitruncated 600-cell) Marco Möller's Archimedean polytopes in R⁴ (German)

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