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arXiv · 1302.2271

Diffuse Reflection Diameter in Simple Polygons

Gill Barequet·Sarah M. Cannon·Eli Fox-Epstein·Benjamin Hescott·Diane L. Souvaine·Csaba D. Tóth·Andrew Winslow
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Abstract

We prove a conjecture of Aanjaneya, Bishnu, and Pal that the minimum number of diffuse reflections sufficient to illuminate the interior of any simple polygon with $n$ walls from any interior point light source is $\lfloor n/2 \rfloor - 1$. Light reflecting diffusely leaves a surface in all directions, rather than at an identical angle as with specular reflections.

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Gill Barequet, Sarah M. Cannon, Eli Fox-Epstein, Benjamin Hescott, Diane L. Souvaine, Csaba D. Tóth, Andrew Winslow. 2013-02-09. Diffuse Reflection Diameter in Simple Polygons. https://arxiv.org/abs/1302.2271

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