Two Results Concerning the Zome Model of the 600-Cell

David A. Richter
Renaissance Banff: Mathematics, Music, Art, Culture (2005)
Pages 419–426


Two results concerning the Zome System are offered here. The first is a surprisingly simple model of Gosset's 8- dimensional semiregular polytope 421, built using the two "natural" sizes of Zome models of the 600-cell. Next we provide parts lists for Zome models of the 15 convex uniform polychora with the same symmetry as the 600-cell. For good reason, a few of these models have never been built before, but having the parts list available is a first step towards realizing all of them. We also offer some guidance on how to build these models.