Coincidences of centers of edge-incentric, or balloon, simplices

DOI10.1007/s00025-006-0222-4zbMath1110.52014OpenAlexW2087761613MaRDI QIDQ867478

Mowaffaq Hajja

Publication date: 15 February 2007

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-006-0222-4

zbMATH Keywords

Gram matrixbarycentric coordinatescircumcenterincenterregular simplexcentroidkiteorthocentric simplexballoon simplexedge-incentric simplexDescartes' circles theoremedge-incenterequiareal simplexequifacetal simplexequiradial simplexequivariant simplexSoddy spherestouching hyperspherestouching spheres

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Polyhedra and polytopes; regular figures, division of spaces (51M20) Symmetry properties of polytopes (52B15)

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