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Can I read The reverse Kakeya problem on EtoBox?
The reverse Kakeya problem by Sang Won Bae; Sergio Cabello; Otfried Cheong; Yoonsung Choi; Fabian Stehn; Sang Duk Yoon is a Mathematics article available to read on EtoBox.
What is The reverse Kakeya problem about?
We prove a generalization of Pál's conjecture from 1921: if a convex shape P can be placed in any orientation inside a convex shape Q in the plane, then P can also be turned continuously through 360 ∘ inside Q. We also prove a lower bound of Ω(mn 2 ) on the number of combinatorially distinct maximal placements of a convex m-gon P in a convex n-gon Q. This matches the upper bound proven by Agarwal et al.
Who reads The reverse Kakeya problem?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Sang Won Bae; Sergio Cabello; Otfried Cheong; Yoonsung Choi; Fabian Stehn; Sang Duk Yoon
- Publisher
- Walter de Gruyter GmbH
- Published
- 2021
- Language
- EN
- Field
- Mathematics (Physical Sciences)