Fei Xue, Yanlu Lian, Jun Wang, Yuqin Zhang
Abstract
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The polygon $P$ is small if its diameter equals one. When $n=2^s$, it is still an open problem to find the maximum perimeter or the maximum width of a small $n$-gon. Motivated by Bingane's series of works, we improve the lower bounds for the maximum perimeter and the maximum width.
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The polygon $P$ is small if its diameter equals one. When $n=2^s$, it is still an open problem to find the maximum perimeter or the maximum width of a small $n$-gon. Motivated by Bingane's series of works, we improve the lower bounds for the maximum perimeter and the maximum width.
Key concepts: Perimeter, Regular polygon, Polygon (computer graphics), Combinatorics, Mathematics, Convex polygon, Series (stratigraphy), Geometry