Impurity of the corner angles in certain special families of simplices
DOI10.1007/s00022-014-0219-1zbMath1309.51012OpenAlexW2132106079MaRDI QIDQ2255395
Mowaffaq Hajja, Mostafa Hayajneh
Publication date: 9 February 2015
Published in: Journal of Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00022-014-0219-1
quadratic formcorner angleCayley-Menger determinantorthocentric simplexcircumscriptible simplexisodynamic simplexisogonic simplextetra-isogonic simplexCayley-Menger matrixpure polyhedral angle
(n)-dimensional polytopes (52B11) Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Three-dimensional polytopes (52B10) Polyhedra and polytopes; regular figures, division of spaces (51M20) Length, area and volume in real or complex geometry (51M25) Symmetry properties of polytopes (52B15)
Related Items (4)
Cites Work
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- Orthocentric simplices as the true generalizations of triangles
- The open mouth theorem in higher dimensions
- The sum of measures of the angles of a simplex
- The pons asinorum and related theorems for tetrahedra
- Coincidences of centers of edge-incentric, or balloon, simplices
- The Pons asinorum for tetrahedra
- The law of sines for tetrahedra and \(n\)-simplices
- The open mouth theorem, or the scissors lemma, for orthocentric tetrahedra
- Orthocentric simplices and their centers
- More characterizations of certain special families of simplices
- Pythagoras' Theorem for Areas
- The Pons Asinorum in higher dimensions
- Then-dimensional pythagorean theorem
- The n-Dimensional Pythagorean Theorem via the Divergence Theorem
- The Circumradius of a Simplex
- Letter to the editor
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