Classification of solid transitive simplex tilings in simply connected 3-spaces

DOI10.1023/A:1004396608898zbMath0916.52008MaRDI QIDQ1280275

István Prok, Emil Molnár, Jenő Szirmai

Publication date: 14 March 1999

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

orbifoldorbifoldsclassificationsface-to-face tilingsface-transitive triangulationshomogeneous \(3\)-manifoldsmetric realization of combinatorial tilingmetric realizations

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Discontinuous groups of transformations (57S30) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Symmetry properties of polytopes (52B15)

Related Items (5)

Hyperbolic space groups with truncated simplices as fundamental domains ⋮ Data structures and algorithms for tilings I ⋮ Tegula -- exploring a galaxy of two-dimensional periodic tilings ⋮ Hyperbolic space groups and their supergroups for fundamental simplex tilings ⋮ Supergroups for six series of hyperbolic simplex groups

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