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cs.CG2026
Simplicial subdivision of simplices of arbitrary dimension in spaces of constant curvature with bounded quality
Jean-Daniel Boissonnat, Hana Dal Poz Kourimska, Arijit Ghosh +1
In 1942, Freudenthal showed that a simplex in Euclidean space can be subdivided such that the quality (well-shapedness of the simplex, quantified in terms of e.g. fatness) of the s…
cs.CG2026
Generalized altitudes and their bounds
Hana Dal Poz Kourimska, Mathijs Wintraecken
We introduce generalized altitudes of a simplex, extending the usual vertex-to-opposite-face altitude to arbitrary pairs of opposite faces. These quantities encode the relative pos…