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# Maximal perimeter and maximal width of a convex small polygon

@inproceedings{Bingane2021MaximalPA,
title={Maximal perimeter and maximal width of a convex small polygon},
author={Christian Bingane},
year={2021}
}
A small polygon is a polygon of unit diameter. The maximal perimeter and the maximal width of a convex small polygon with n = 2s sides are unknown when s ≥ 4. In this paper, we construct a family of convex small n-gons, n = 2s with s ≥ 4, and show that their perimeters and their widths are within O(1/n8) and O(1/n5) of the maximal perimeter and the maximal width, respectively. From this result, it follows that Mossinghoff’s conjecture on the diameter graph of a convex small 2s-gon with maximal…
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