The taxicab space group

DOI10.1007/s10474-008-8006-9zbMath1199.51002OpenAlexW1997391628MaRDI QIDQ1046848

Rüstem Kaya, Özcan Gelişgen

Publication date: 29 December 2009

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

Full work available at URL: https://doi.org/10.1007/s10474-008-8006-9

zbMATH Keywords

orthogonal groupisometryoctahedral grouptaxicab metric3-dimensionaltaxicab geometry

Mathematics Subject Classification ID

Metric geometry (51F99) General theory of distance geometry (51K05) Minkowski geometries in nonlinear incidence geometry (51B20) Analytic geometry with other transformation groups (51N25)

Related Items (7)

Some Remarks on the Group of Isometries of a Metric Space ⋮ Taxicab Spherical Inversions In Taxicab Space ⋮ Unnamed Item ⋮ On generalized taxicab metric in three dimensional space ⋮ Some invariant properties of curves in the taxicab geometry ⋮ Unnamed Item ⋮ Surjective isometries of metric geometries

Cites Work

• Mappings preserving some geometrical figures
• On mappings preserving pentagons
• The Taxicab Group
• Unnamed Item
• Unnamed Item

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