For each d≥ 3 ,n≥ 5 ,and k1, k2, … ,kd - 1≥ 2 with k1+ k2+ ⋯ + kd - 1≤ n- 1 ,we show how to construct a regular d-polytope whose automorphism group is of order 2 n and whose Schläfli type is {2k1,2k2,…,2kd-1}.SCOPUS: ar.jinfo:eu-repo/semantics/publishe
In this article, certain of the sporadic simple groups are analysed, and the polytopes having these...
2-level polytopes naturally appear in several areas of pure and applied mathematics, including combi...
We augment the list of finite universal locally toroidal regular polytopes of type {3,3,4,3,3} due t...
Up to isomorphism and duality, there are exactly two nondegenerate abstract regular polytopes of ran...
AbstractIn the Atlas of abstract regular polytopes for small almost simple groups by Leemans and Vau...
Using the correspondence between abstract regular polytopes and string C-groups, in a recent paper [...
AbstractIn this paper, we explore the combinatorial automorphism group of the linear ordering polyto...
In this paper, various algorithms used in the classifications of regular polytopes for given groups ...
A polyhedron in Euclidean 3-space E3 is called a regular polyhedron of index 2 if it is combinatoria...
2-level polytopes naturally appear in several areas of pure and applied mathematics, including combi...
AbstractIn a previous paper we constructed a finite regular (abstract) 4-polytope of type {3,3,p} fo...
AbstractThis paper analyzes the polytopes whose types are the same as the types of finite (string) C...
peer reviewedWe determine, up to isomorphism and duality, the number of abstract regular polytopes ...
AbstractIn this paper we discuss the construction of regular incidence-polytopes p by twisting opera...
When the standard representation of a crystallographic Coxeter group Γ is reduced modulo an odd prim...
In this article, certain of the sporadic simple groups are analysed, and the polytopes having these...
2-level polytopes naturally appear in several areas of pure and applied mathematics, including combi...
We augment the list of finite universal locally toroidal regular polytopes of type {3,3,4,3,3} due t...
Up to isomorphism and duality, there are exactly two nondegenerate abstract regular polytopes of ran...
AbstractIn the Atlas of abstract regular polytopes for small almost simple groups by Leemans and Vau...
Using the correspondence between abstract regular polytopes and string C-groups, in a recent paper [...
AbstractIn this paper, we explore the combinatorial automorphism group of the linear ordering polyto...
In this paper, various algorithms used in the classifications of regular polytopes for given groups ...
A polyhedron in Euclidean 3-space E3 is called a regular polyhedron of index 2 if it is combinatoria...
2-level polytopes naturally appear in several areas of pure and applied mathematics, including combi...
AbstractIn a previous paper we constructed a finite regular (abstract) 4-polytope of type {3,3,p} fo...
AbstractThis paper analyzes the polytopes whose types are the same as the types of finite (string) C...
peer reviewedWe determine, up to isomorphism and duality, the number of abstract regular polytopes ...
AbstractIn this paper we discuss the construction of regular incidence-polytopes p by twisting opera...
When the standard representation of a crystallographic Coxeter group Γ is reduced modulo an odd prim...
In this article, certain of the sporadic simple groups are analysed, and the polytopes having these...
2-level polytopes naturally appear in several areas of pure and applied mathematics, including combi...
We augment the list of finite universal locally toroidal regular polytopes of type {3,3,4,3,3} due t...
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