6 citations · 9 across the 8 of their papers we have counts for
8 papers
On Roli's Cube
Barry Monson
First described in 2014, Roli's cube is a chiral -polytope, faithfully realized in Euclidean -space (a situation earlier thought to be impossible). Here we desc…
Finite Polytopes have Finite Regular Covers
B. Monson, Egon Schulte
We prove that any finite, abstract n-polytope is covered by a finite, abstract regular n-polytope.
Semiregular Polytopes and Amalgamated C-groups
B. Monson, Egon Schulte
In the classical setting, a convex polytope is said to be semiregular if its facets are regular and its symmetry group is transitive on vertices. This paper studies semiregular abs…
Locally Toroidal Polytopes and Modular Linear Groups
B. Monson, Egon Schulte
When the standard representation of a crystallographic Coxeter group G (with string diagram) is reduced modulo the integer d>1, one obtains a finite group G^d which is often the au…
Modular Reduction in Abstract Polytopes
B. Monson, Egon Schulte
The paper studies modular reduction techniques for abstract regular and chiral polytopes, with two purposes in mind: first, to survey the literature about modular reduction in poly…
Reflection Groups and Polytopes over Finite Fields, III
Barry Monson, Egon Schulte
When the standard representation of a crystallographic Coxeter group is reduced modulo an odd prime p, one obtains a finite group G^p acting on some orthogonal space over Z_p . If…