Rectified 120-cell

In geometry, the rectified 120-cell is a convex uniform polychoron composed of 600 regular tetrahedra and 120 icosidodecahedra cells.

Alternative names:
*Rectified 120-cell (Norman Johnson)
*Rectified hecatonicosichoron
*Rectified polydodecahedron
*Icosidodecahedral hexacosihecatonicosachoron
*Rahi (Jonathan Bowers: for rectified hecatonicosachoron)
*Ambohecatonicosachoron (Neil Sloane & John Horton Conway)

ee also

* Uniform polychoron
* 120-cell

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", [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

* [http://members.aol.com/Polycell/section4.html Icosidodecahedral hexacosihecatonicosachoron (33)] from George Olshevsky's [http://members.aol.com/Polycell/uniform.html Convex uniform polychora]
* [http://www.polytope.de/nr52.html rectified 120-cell] Marco Möller's Archimedean polytopes in R⁴ (German)

Archimedische Polychora