The Farey octahedron graph, the Poincaré polyhedron theorem and Gaussian integer continued fractions

DOI10.1007/s40316-019-00115-4zbMath1437.05196OpenAlexW2940461272MaRDI QIDQ1987032

Meira Hockman

Publication date: 9 April 2020

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40316-019-00115-4

zbMATH Keywords

continued fractionsGaussian integersFarey graphFarey tessellation of \(\mathbb{H}^3\)Poincaré polyhedron theorem

Mathematics Subject Classification ID

Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Continued fractions and generalizations (11J70) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

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