16 citations · 28 across the 17 of their papers we have counts for
4 papers · 1 filter
Cube-Like Polytopes and Complexes
Andrew Duke, Egon Schulte
The main purpose of this paper is to popularize Danzer's power complex construction and establish some new results about covering maps between two power complexes. Power complexes…
Icosahedral Skeletal Polyhedra Realizing Petrie Relatives of Gordan's Regular Map
Anthony M. Cutler, Egon Schulte, Jorg M. Wills
Every regular map on a closed surface gives rise to generally six regular maps, its "Petrie relatives", that are obtained through iteration of the duality and Petrie operations (ta…
Regular Polygonal Complexes in Space, II
Daniel Pellicer, Egon Schulte
Regular polygonal complexes in euclidean 3-space are discrete polyhedra-like structures with finite or infinite polygons as faces and with finite graphs as vertex-figures, such tha…
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.