23 citations · 84 across the 39 of their papers we have counts for
46 papers
String C-groups of 2-power order project onto a common string C-group
Dong-Dong Hou, Egon Schulte
String C-groups are precisely the automorphism groups of abstract regular polytopes. A certain regular d-polytope C_d with an automorphism group of order 2^{2d-1}, discovered by Co…
Two-Orbit Polytopes
Isabel Hubard, Egon Schulte
Abstract polytopes are combinatorial structures with distinctive geometric, algebraic, or topological characteristics, that generalize (the face lattice of) traditional polyhedra,…
Chiral Polyhedra from AGL(1,q)
Evan Angelone, Egon Schulte
We present a construction of chiral and regular polyhedra from subgroups of the general affine group AGL(1,q) for odd prime powers q. In particular, we show that the full group AGL…
Skeletal Snub Polyhedra in Ordinary Space, I
Egon Schulte, Tomas Skacel
Skeletal polyhedra are discrete connected structures consisting of finite (planar or skew) or infinite (linear, planar, or spatial) polygons as faces, with two faces on each edge a…
Symmetric polytopes whose automorphism groups are 2-groups
Gabriel Cunningham, Yan-Quan Feng, Dong-Dong Hou +1
The present work investigates regular, semiregular, and chiral polytopes of any rank , whose automorphism groups are 2-groups. There is a large variety of rather small fin…
Bounds for the Regularity Radius of Delone Sets
Nikolay Dolbilin, Alexey Garber, Egon Schulte +1
Delone sets are discrete point sets in characterized by parameters , where (usually) is the smallest inter-point distance of , and is the radi…