Distances from the vertices of a regular simplex

DOI10.1007/s00025-017-0689-1zbMath1379.51005arXiv1609.06552OpenAlexW2963208642MaRDI QIDQ2407006

Shadi Shaqaqha, Bach Nguyen, Mowaffaq Hajja, Mostafa Hayajneh

Publication date: 4 October 2017

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.06552

zbMATH Keywords

germKrull dimensiontranscendence degreealgebraic dependenceregular simplexreal analytic functionprincipal idealintegral domainCayley-Menger determinantheight of an idealSoddy circlesPompeiu's theorem

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Length, area and volume in real or complex geometry (51M25) Elementary problems in Euclidean geometries (51M04)

Related Items (2)

Irreducibility of the Cayley-Menger determinant and of a class of related polynomials ⋮ Pre-kites: simplices having a regular facet

Cites Work

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• Irreducibility of the Cayley-Menger determinant and of a class of related polynomials
• Pre-kites: simplices having a regular facet
• Loxodromic sequences of tangent spheres
• Simultaneous Triangle Inequalities
• Topics in Elementary Geometry
• On a Theorem in Geometry

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