Regular polytopes in ordinary space
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Publication:1356086
DOI10.1007/PL00009304zbMath0876.52003MaRDI QIDQ1356086
Publication date: 27 October 1997
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
automorphism groupisometry groupsymmetry groupregular polytopesregular polyhedracombinatorial polytopesapeirotopes of rank 3apeirotopes of rank 4Grünbaum's regular polyhedraregular apeirohedra
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An atlas of regular thin geometries for small groups ⋮ Locally spherical hypertopes from generalised cubes ⋮ Reflection groups and polytopes over finite fields. I. ⋮ Regular polyhedra in the 3-torus ⋮ Morphic Polytopes and Symmetries ⋮ Realising equivelar toroids of type \(\{4,4\}\) ⋮ Wythoffian skeletal polyhedra in ordinary space. I ⋮ Regular apeirotopes of dimension and rank 4 ⋮ Graphs of polyhedra; polyhedra as graphs ⋮ Barrel pseudotilings ⋮ Icosahedral skeletal polyhedra realizing Petrie relatives of Gordan's regular map ⋮ Skeletal geometric complexes and their symmetries ⋮ Chiral 4-polytopes in ordinary space ⋮ Hereditary polyhedra with planar regular faces ⋮ Regular polytopes of nearly full rank ⋮ Twisted Groups and Locally Toroidal Regular Polytopes ⋮ Open problems on \(k\)-orbit polytopes ⋮ Regular polyhedra of index two. I. ⋮ Combinatorial structure of Schulte's chiral polyhedra ⋮ A chiral 5-polytope of full rank ⋮ Regular polyhedra of index two. II. ⋮ Regular polygonal complexes in space, I ⋮ Chiral polytopes of full rank exist only in ranks \(4\) and \(5\) ⋮ Polyhedra, complexes, nets and symmetry ⋮ Quasi-regular polytopes of full rank ⋮ Regular polygonal complexes in space, II ⋮ Rigidity of Regular Polytopes ⋮ Polygonal Complexes and Graphs for Crystallographic Groups
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