All Title Author
Keywords Abstract


Generalized CPR-graphs and applications

Full-Text   Cite this paper   Add to My Lib

Abstract:

We give conditions for oriented labeled graphs that must be satisfied in order that such are permutations representations for groups of automorphisms of chiral or orientably regular polytopes. We develop a technique for construction of highly symmetric polytopes using such graphs. In particular, we construct chiral polytopes with the automorphism group $S_n$ for each $n>5$, an infinite family of finite chiral polytopes of rank $4$, a polytope of rank $5$, as well as several infinite chiral polyhedra.

Full-Text

comments powered by Disqus