8 citations · 17 across the 14 of their papers we have counts for
4 papers · 1 filter
A finite chiral 4-polytope in
Javier Bracho, Isabel Hubard, Daniel Pellicer
In this paper, we give an example of a chiral 4-polytope in projective 3-space. This example naturally yields a finite chiral 4-polytope in Euclidean 4-space, giving a counterexamp…
Polygonal Complexes and Graphs for Crystallographic Groups
Daniel Pellicer, Egon Schulte
The paper surveys highlights of the ongoing program to classify discrete polyhedral structures in Euclidean 3-space by distinguished transitivity properties of their symmetry group…
Chiral extensions of chiral polytopes
Gabe Cunningham, Daniel Pellicer
Given a chiral d-polytope K with regular facets, we describe a construction for a chiral (d + 1)-polytope P with facets isomorphic to K. Furthermore, P is finite whenever K is fini…
Flag Bicolorings, Pseudo-Orientations, and Double Covers of Maps
Hiroki Koike, Daniel Pellicer, Miguel Raggi +1
This paper discusses consistent flag bicolorings of maps and maniplexes, in their own right and as generalizations of orientations and pseudo-orientations. Furthermore, a related d…