Integration bounds for the regular simplex in n-dimensional space

DOI10.1080/0020739X.2020.1831090zbMath1490.51019OpenAlexW3094653986MaRDI QIDQ5069434

David M. Williams, Gage S. Walters

Publication date: 19 April 2022

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020739x.2020.1831090

zbMATH Keywords

equilateral triangleregular tetrahedronregular simplexintegration bounds

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Polyhedra and polytopes; regular figures, division of spaces (51M20) Integration of real functions of several variables: length, area, volume (26B15)

Cites Work

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• Symmetric quadrature rules for tetrahedra based on a cubic close-packed lattice arrangement
• Regular and semi-regular polytopes. II
• Volume of an N-simplex by multiple integration
• The volume of a tetrahedron
• An extremal problem of regular simplices: the five-dimensional case
• A family of symmetric, optimized quadrature rules for pentatopes
• Symmetric quadrature rules for simplexes based on sphere close packed lattice arrangements
• Regular and semi-regular polytopes. I
• Geometries and Transformations
• Perfect pyramids

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