# Most Reinhardt polygons are sporadic

@article{Hare2014MostRP,
author={Kevin G. Hare and Michael J. Mossinghoff},
journal={Geometriae Dedicata},
year={2014},
volume={198},
pages={1-18}
}
• Published 2014
• Mathematics
• Geometriae Dedicata
A Reinhardt polygon is a convex n-gon that, for n not a power of 2, is optimal in three different geometric optimization problems, for example, it has maximal perimeter relative to its diameter. Some such polygons exhibit a particular periodic structure; others are termed sporadic. Prior work has described the periodic case completely, and has shown that sporadic Reinhardt polygons occur for all n of the form $$n=pqr$$n=pqr with p and q distinct odd primes and $$r\ge 2$$r≥2. We show that… Expand
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