Regular and semi-regular polytopes. III

DOI10.1007/BF01161745zbMath0633.52006OpenAlexW1964676217WikidataQ56522029 ScholiaQ56522029MaRDI QIDQ1096182

H. S. M. Coxeter

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173992

zbMATH Keywords

symmetrygraphWeyl groupstrialitypolytopesexponentdualitypolyhedroncubesconfigurationorthoschemelatticessimplexDynkin diagramsregularreflection groupscoordinateshoneycombsporadicantiprismmirrorkaleidoscopeSchläfli functions

Mathematics Subject Classification ID

Other geometric groups, including crystallographic groups (20H15) Polytopes and polyhedra (52Bxx)

Related Items

Extremal positive semidefinite matrices whose sparsity pattern is given by graphs without \(K_{5}\) minors, Branes and polytopes, Wythoffian skeletal polyhedra in ordinary space. I, On a class of polyhedra with symmetrical vertex stars, Configurations of lines in del Pezzo surfaces with Gosset polytopes, Semiregular polytopes and amalgamated C-groups, On polyhedra with rhombic vertices and regular faces, Robust multivariate adaptive regression splines under cross-polytope uncertainty: an application in a natural gas market, Trisecting an orthoscheme, Coxeter groups, A cone of inhomogeneous second-order polynomials, Once again on polyhedral groups and Dynkin graphs, 4-dimensional Archimedean polytopes, Weyl groups, lattices and geometric manifolds., Gosset polytopes in integral octonions, Spectra of semi-regular polytopes, Unnamed Item, Integral binary Hamiltonian forms and their waterworlds, Two-orbit convex polytopes and tilings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A family of uniform polytopes with symmetric shadows
• Discrete groups generated by reflections
• Equiangular lines
• Regular and semi-regular polytopes. I
• The product of the generators of a finite group generated by reflections
• Characteristic vectors for a product of \(n\) reflections
• Lattices of Simplex Type
• How to Compute the Series Expansions of Sec X and Tan X
• The covering radius of the Leech lattice
• Groups Whose Fundamental Regions Are Simplexes
• The Polytopes with Regular-Prismatic Vertex Figures
• Polytopes Associated with the General Cubic Surface
• Six and Seven Dimensional Non-Lattice Sphere Packings
• A configuration of lines in three dimensions
• Clifford’s chain and its analogues in relation to the higher polytopes
• Invariants of Finite Reflection Groups
• A symmetric representation of the twenty-seven lines on a cubic surface by lines in a finite geometry
• Extreme Forms
• Uniform polyhedra
• Finite Unitary Reflection Groups