Instytut Matematyki i Fizyki ATR, ul. Kaliskiego 7, 85-796 Bydgoszcz, Poland, e-mail: email@example.com
Abstract: We show that every three-dimensional convex body $C$ can be covered by $20$ smaller positive homothetic copies. The homothety ratio here depends on $C$. Under the requirement that the homothety ratio is universal, such a covering is possible by $24$ copies.
Classification (MSC91): 52C17
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