Edge lengths determining tetrahedrons

DOI10.4171/EM/129zbMath1182.51006OpenAlexW2026859994MaRDI QIDQ1045952

Karl Wirth, André S. Dreiding

Publication date: 18 December 2009

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=0013-6018&vol=64&iss=4&rank=4

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Distance geometry (51K99) Length, area and volume in real or complex geometry (51M25) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (9)

The weighted Fermat-Torricelli-Menger problem for a given sextuple of edge lengths determining tetrahedra ⋮ Tetrahedron classes based on edge lengths ⋮ Tetrahedra with congruent facet pairs ⋮ Determining the metric and the symmetry group of finite point sets in space with an application to cyclohexane ⋮ The classification of uniserial \(\mathfrak{sl}(2)\ltimes V(m)\)-modules and a new interpretation of the Racah-Wigner \(6j\)-symbol ⋮ Relations between edge lengths, dihedral and solid angles in tetrahedra ⋮ Fixed-topology Lorentzian triangulations: Quantum Regge Calculus in the Lorentzian domain ⋮ Minimal energy configurations of finite molecular arrays ⋮ On the enumeration of integer tetrahedra

Cites Work

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• Edge lengths guaranteed to form a simplex
• A Budget of Curiosa Metrica
• Completely Tetrahedral Sextuples
• A note on the four-point property
• Some imbedding theorems and characterization problems of distance geometry

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