Bitruncated 120-cell

From Wikipedia, the free encyclopedia

Bitruncated 120-cell

Stereographic projection (Close up)
Type Uniform polychoron
Cells 120 5.6.6
600 3.6.6
Faces 4320:
1200{3}+720{5}+
2400{6}
Edges 7200
Vertices 3600
Vertex figure Digonal disphenoid
(Irregular tetrahedron)
Schläfli symbol t1,2{5,3,3}
Symmetry group H4, [3,3,5]
Properties convex

In geometry, the bitruncated 120-cell is a uniform polychoron.

Contents

[edit] Alternate names

  • Bitruncated 120-cell / Bitruncated 600-cell (Norman W. Johnson)
    • Bitruncated hecatonicosachoron / Bitruncated hexacosichoron
    • Bitruncated polydodecahedron / Bitruncated polytetrahedron
  • Truncated-icosahedral hexacosihecatonicosachoron (George Olshevsky)
  • Hexacosihecatonicosachoron (Jonathan Bowers)
    • Xhi (for hexacosihecatonicosachoron)

[edit] See also

[edit] 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 [1]
    • (Paper 22) H.S.M. Coxeter, Regular and Semi-Regular Polytopes I, [Math. Zeit. 46 (1940) 380-407, MR 2,10]
    • (Paper 23) H.S.M. Coxeter, Regular and Semi-Regular Polytopes II, [Math. Zeit. 188 (1985) 559-591]
    • (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. 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
  • M. Möller: Definitions and computations to the Platonic and Archimedean polyhedrons, thesis (diploma), University of Hamburg, 2001

[edit] External links

 This geometry-related article is a stub. You can help Wikipedia by expanding it.
Languages