Runcinated 120-cell

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Runcinated 120-cell

Schlegel diagram
Only tetrahedral cells shown
Type Uniform polychoron
Cells 2640 total:
120 5.5.5
720 4.4.5
1200 4.4.3
600 3.3.3
Faces 7440:
2400{3}+3600{4}+
1440{5}
Edges 7200
Vertices 2400
Vertex figure Irregular octahedron
Schläfli symbol t0,3{5,3,3}
Symmetry group H4, [3,3,5]
Properties convex

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

Contents

[edit] Alternate names

  • Runcinated 120-cell / Runcinated 600-cell (Norman W. Johnson)
    • Runcinated hecatonicosachoron / Runcinated hexacosichoron
    • Runcinated polydodecahedron / Runcinated polytetrahedron
  • (Small) diprismatohexacosihecatonicosachoron (George Olshevsky)
    • Sidpixhi (Jonathan Bowers: for small diprismatohexacosihecatonicosachoron)

[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

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