If one wants to generate a Simplicial complex of the topology of the 3-sphere, one can just take the boundary of a 5-cell, 16-cell or 600-cell. The curvature is concentrated on the edges meeting the tetrahedrons. Is there a way to further triangulate the tetrahedrons and redistribute the curvature uniformly on the new edges? Maybe there is a standard way to do such things? Maybe also for the triangulation of other (compact) 3-manifolds?
2026-03-26 02:54:31.1774493671
Triangulation of a 3-sphere
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