A note on the maximal perimeter and maximal width of a convex small polygon

2021/08/30 by Xue, Fei, Lian, Yanlu, Wang, Jun +1
#52A10 #52A40 #52B55 #F.2.2 #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2108.13284

Abstract

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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