Papers › Small volume bodies of constant width
Small volume bodies of constant width
Andrii Arman, Andriy Bondarenko, Fedor Nazarov, Andriy Prymak, Danylo Radchenko
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For every large enough n, we explicitly construct a body of constant width 2 that has volume less than 0.9ⁿ Vol(𝔹ⁿ), where 𝔹ⁿ is the unit ball in ℝⁿ. This answers a question of O.~Schramm.
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