On the enumeration of integer tetrahedra

DOI10.1016/j.comgeo.2022.101915zbMath1498.05017arXiv2112.00899OpenAlexW3215570945WikidataQ114195468 ScholiaQ114195468MaRDI QIDQ2088887

Michael Hendriksen, James East, Laurence Park

Publication date: 6 October 2022

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.00899

zbMATH Keywords

enumerationperimeterorbit enumerationinteger tetrahedra

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Computing methodologies for image processing (68U10) Polyhedra and polytopes; regular figures, division of spaces (51M20)

Uses Software

• OEIS

Cites Work

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• Edge lengths determining tetrahedrons
• Triangles with Integer Sides, Revisited
• Triangular Triples from Ceilings to Floors
• Triangles with Integer Sides
• Triangles with Integer Sides
• INTEGER POLYGONS OF GIVEN PERIMETER
• Integer Triangles of Given Perimeter: A New Approach via Group Theory
• Enumeration of integral tetrahedra