Duality of isosceles tetrahedra

DOI10.1007/s00022-019-0506-yzbMath1430.51027OpenAlexW2973659303WikidataQ127228039 ScholiaQ127228039MaRDI QIDQ2329389

Michal Křížek, Jan H. Brandts

Publication date: 17 October 2019

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-019-0506-y

zbMATH Keywords

circumradiuscircumcenterisosceles tetrahedrawell-centered simplicesdual simplices

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20)

Related Items (1)

Morley's trisector theorem for isosceles tetrahedron

Cites Work

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• Face-to-face partition of 3D space with identical well-centered tetrahedra.
• Optimality of the Delaunay triangulation in \(\mathbb{R}^ d\)
• Geometric and combinatorial properties of well-centered triangulations in three and higher dimensions
• Simplicial vertex-normal duality with applications to well-centered simplices
• Simplices rarely contain their circumcenter in high dimensions.
• Coincidences of simplex centers and related facial structures
• Well-Centered Triangulation
• Distance Sums on a Sphere and Angle Sums in a Simplex
• On qualitative angle properties of simplexes
• The Geometry of an Equifacetal Simplex
• On Nonobtuse Simplicial Partitions
• Matrices and graphs in Euclidean geometry
• Some Properties of the Isosceles Tetrahedron

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