Titlebook: Discrete Geometry and Symmetry; Dedicated to Károly Marston D. E. Conder,Antoine Deza,Asia Ivi? Weiss Conference proceedings 2018 Springer

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Stability of the Simplex Bound for Packings by Equal Spherical Caps Determined by Simplicial RegulaIt is well known that the vertices of any simplicial regular polytope in . determine an optimal packing of equal spherical balls in .. We prove a stability version of optimal order of this result.

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Silvia M. Grinberg,Sofia Dafunchioset is called a crystal if it is invariant with respect to a crystallographic group. Locally antipodal Delone sets, i.e. those in which all 2.-clusters are centrally symmetrical, are considered and we prove that they have crystalline structure. Moreover, if in a locally antipodal set all 2.-clusters