Every p-width of a convex polygon is realized by a finite union of billiard trajectories, and the low p-widths of the equilateral triangle and square are computed exactly.
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abstract
We compute the p-widths, $\{\omega_p\}$, for the real projective plane with the standard metric.
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The p-widths of a polygon
Every p-width of a convex polygon is realized by a finite union of billiard trajectories, and the low p-widths of the equilateral triangle and square are computed exactly.