Abstract
It is well known that the vertices of any simplicial regular polytope in Rd determine an optimal packing of equal spherical balls in Sd-1. We prove a stability version of optimal order of this result.
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Böröczky, K., Böröczky, K. J., Glazyrin, A., & Kovács, Á. (2018). Stability of the Simplex Bound for Packings by Equal Spherical Caps Determined by Simplicial Regular Polytopes. In Springer Proceedings in Mathematics and Statistics (Vol. 234, pp. 31–60). Springer New York LLC. https://doi.org/10.1007/978-3-319-78434-2_2
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