Small volume bodies of constant width

Andrii Arman,Andriy Bondarenko, Fedor Nazarov,Andriy Prymak,Danylo Radchenko

arxiv（2024）

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摘要

For every large enough n, we explicitly construct a body of constant width 2 that has volume less than 0.9^n Vol(𝔹^n), where 𝔹^n is the unit ball in ℝ^n. This answers a question of O. Schramm.

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