The number of tetrahedra sharing the same metric invariants via symbolic and numerical computations

DOI10.1016/j.jsc.2021.06.002zbMath1481.51014OpenAlexW3171349882MaRDI QIDQ2048154

Lu Yang, Lydia Dehbi, Zhenbing Zeng

Publication date: 5 August 2021

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2021.06.002

zbMATH Keywords

Monte Carlo experimenttetrahedrondiscriminant sequencefray sequencemetric equation

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Polyhedra and polytopes; regular figures, division of spaces (51M20) Computational methods for problems pertaining to geometry (51-08)

Cites Work

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• Estimating the number of tetrahedra determined by volume, circumradius and four face areas using Groebner basis
• A complete discrimination system for polynomials
• Eine Verallgemeinerung des Sturmschen Wurzelzählverfahrens
• Metric invariants of tetrahedra via polynomial elimination
• On the Number of Congruent Classes of the Tetrahedra Determined by Given Volume, Circumradius and Face Areas
• An open problem on metric invariants of tetrahedra

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