If there's a signature Fuller polyhedron, it's probably the Coupler: >>> import syngeom >>> mypoly = syngeom.Coupler() >>> mypoly.volume 1 >>> mypoly.isaspacefiller True
Some immediately object no fair gluing together already known pieces and *naming* them. But it's not a priority game, it's a getting work done game, and we need to call them something or other, so why not Coupler, since it's already nicely sorted out: >>> amightyMite = syngeom.Mite() >>> amightyMite.volume 0.125 >>> amightyMite.modules [A,-A,-B] >>> [i.volume for i in amightyMite.modules] [0.041666666666666664, 0.041666666666666664, 0.041666666666666664] MITE is an acronym from MInimum TEtrahedron, an irregular tetrahedron with a 90-90-90 XYZ corner that's able to fill the 8 corners of the XYZ coordinating apparatus, thereby putting the Coupler center right at the origin (0,0,0). However the Coupler is a bit deceptive in that it's really more of an interface between neighboring rhombic dodecahedra: >>> ballcase = syngeom.RhDodeca() >>> ballcase.volume 6 Plus it works to see it as coupling around all three equators in various ways (the Coupler being an octahedron): >>> mypoly.faces 8 At my web site: http://www.grunch.net/synergetics/modules.html More in my blog: Half-Coupler: http://worldgame.blogspot.com/2005/11/half-coupler.html Coupler: http://worldgame.blogspot.com/2004/12/more-geometry-of-thinking.html Kirby _______________________________________________ Edu-sig mailing list [email protected] http://mail.python.org/mailman/listinfo/edu-sig
