Stability of the simplex bound for packings by equal spherical caps determined by simplicial regular polytopes

\'Agnes Kov\'acs; Alexey Glazyrin; K\'aroly B\"or\"oczky; K\'aroly J. B\"or\"oczky

arxiv: 1711.00211 · v1 · pith:EAA6WNB3new · submitted 2017-11-01 · 🧮 math.MG

Stability of the simplex bound for packings by equal spherical caps determined by simplicial regular polytopes

K\'aroly B\"or\"oczky , K\'aroly J. B\"or\"oczky , Alexey Glazyrin , \'Agnes Kov\'acs This is my paper

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keywords equaloptimalregularsimplicialsphericalstabilityballsbound

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It is well known that the vertices of any Euclidean simplicial regular polytope determine an optimal packing of equal spherical balls. We prove a stability version of optimal order of this result.

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Stability of the simplex bound for packings by equal spherical caps determined by simplicial regular polytopes

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