Regular 3-complexes with toroidal cells

DOI10.1016/0095-8956(77)90005-3zbMath0305.05103OpenAlexW1997315416MaRDI QIDQ1217138

Geoffrey C. Shephard, H. S. M. Coxeter

Publication date: 1977

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0095-8956(77)90005-3

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Triangulating manifolds (57Q15)

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Chirality and projective linear groups ⋮ Space fillers of higher genus ⋮ Incidence-polytopes with toroidal cells ⋮ Some infinite families of finite incidence-polytopes ⋮ Equilibrium decompositions of 4‐manifolds and abstract regular 5‐polytopes ⋮ Combinatorial maps ⋮ Regular polytopes from twisted Coxeter groups and unitary reflexion groups ⋮ Hermitian forms and locally toroidal regular polytopes ⋮ Twisted Groups and Locally Toroidal Regular Polytopes ⋮ Regular combinatorial maps ⋮ On arranging regular incidence-complexes as faces of higher-dimensional ones ⋮ A census of regular 3-polystroma arising from honeycombs ⋮ Locally unitary groups and regular polytopes ⋮ Regular incidence-polytopes with Euclidean or toroidal faces and vertex- figures

Cites Work

• Combinatorially regular polytopes
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