600-cell

Related polychora

The snub 24-cell may be obtained from the 600-cell by removing the vertices of an inscribed 24-cell and taking the convex hull of the remaining vertices. This process is a "diminishing" of the 600-cell.

The grand antiprism may be obtained by another diminishing of the 600-cell: removing 20 vertices that lie on two mutually orthogonal rings and taking the convex hull of the remaining vertices.

ee also

* [Uniform_polychoron#The_G4_.5B5.2C3.2C3.5D_family_-_.28120-cell.2F600-cell.29|Uniform polychora family with [5,3,3] symmetry]

References

*H. S. M. Coxeter, "Regular Polytopes", 3rd. ed., Dover Publications, 1973. ISBN 0-486-61480-8.
*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", [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

External links

*
*GlossaryForHyperspace | anchor=hexacosichoron | title=Hexacosichoron
** [http://members.aol.com/Polycell/section4.html Hexacosichoron (35)] from George Olshevsky's [http://members.aol.com/Polycell/uniform.html Convex uniform polychora]
* [http://www.polytope.de/c600.html Der 600-Zeller (600-cell)] Marco Möller's Regular polytopes in R⁴ (German)