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The optimal universal exponential base for Euclidean kissing numbers

Sébastien Palcoux

Palomar Registrypalomar/PALOMAR-2026-09-05-000002Sep 5, 2026math.MGscore 0

For every positive integer n, the Euclidean kissing number tau_n is an attained maximum and satisfies tau_n = sqrt(6), and the supremum of tau_n^(1/n) over positive dimensions equals sqrt(6). No asymptotic-optimality claim is made.

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