Edge lengths guaranteed to form a simplex

DOI10.1007/BF01210722zbMath0608.52007OpenAlexW1966848286MaRDI QIDQ1085800

J. B. Wilker, Boris V. Dekster

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01210722

zbMATH Keywords

distancescritical setregular unit simplex

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Polytopes and polyhedra (52Bxx)

Related Items (11)

On prescribing total orders and preorders to pairwise distances of points in Euclidean space ⋮ Asymptotic negative type properties of finite ultrametric spaces ⋮ ROUNDNESS PROPERTIES OF ULTRAMETRIC SPACES ⋮ Large spherical simplexes ⋮ Discrete gravity dynamics from effective spin foams ⋮ Spherical simplexes too big to exist ⋮ Simplices whose dihedral angles are all rational multiples of \(\pi\), and related topics ⋮ The dimension of valid distance drawings of signed graphs ⋮ The Geometry of an Equifacetal Simplex ⋮ Edge lengths determining tetrahedrons ⋮ On the number of antipodal or strictly antipodal pairs of points in finite subsets of \(\mathbb{R}^ d\). II

Cites Work

• Non-isometric distance 1 preserving mapping \(E^ 2\to E^ 6\)
• Embedding metric spaces in Euclidean space
• Pentagons with equal sides and equal angles
• Ein Satz über räumliche Fünfecke
• A Budget of Curiosa Metrica
• Completely Tetrahedral Sextuples
• On Isometries of Euclidean Spaces
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