new MathSource polyhedra
- To: mathgroup at smc.vnet.net
- Subject: [mg22566] new MathSource polyhedra
- From: Russell Towle <rustybel at foothill.net>
- Date: Sat, 11 Mar 2000 17:52:40 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Hi, I am pleased to announce two new MathSource items: Elect, Bead, and Star Zonohedra: http://www.mathsource.com/cgi-bin/msitem?0211-060 Zonohedral Completion: http://www.mathsource.com/cgi-bin/msitem?0211-071 I have delayed submitting Zonohedral Completion.nb to MathSource for several years, because the principal algorithm fails at various points. I appeal to anyone interested in polyhedra, in dissections of zonohedra, or simply, in good and optimized programming, to help repair the deficiencies. Beyond that, the process of the "zonohedral completion of a convex polyhedron" as exemplified in the above notebook, generalizes to n dimensions. I have only extended it downwards, to the zonogonal completion of convex polygons. It would interesting to carry it upwards, into the fourth dimension. For instance, I theorize that the "zonotopic completion of the regular n-simplex" always results in an n-space-filler, for, when n=2, we obtain the regular hexagon, when n=3, Kepler's rhombic dodecahedron. Russell Towle Box 141 Dutch Flat, CA 95714 (530) 389-2872