Runcitruncated 120-cell

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Runcitruncated 120-cell
Schlegel diagram Only triangular prisms shown
Type	Uniform polychoron
Cells	2640 total: 120 (3.10.10) 720 (4.4.10) 1200 (3.4.4) 600 (3.4.3.4)
Faces	13440: 4800{3}+7200{4}+ 1440{10}
Edges	18000
Vertices	7200
Vertex figure	Irregular rectangular pyramid
Schläfli symbol	t0,1,3{5,3,3}
Symmetry group	H4, [3,3,5]
Properties	convex

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

[edit] See also

• Uniform polychoron

[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

• Truncated-dodecahedral diprismatohexacosihecatonicosachoron (43) from George Olshevsky's Convex uniform polychora
• Archimedisches Polychor Nr. 62 (runcitruncated 120-cell) Marco Möller's Archimedean polytopes in R⁴ (German)