Diffuse Reflection Diameter in Simple Polygons [article]

Gill Barequet, Sarah M. Cannon, Eli Fox-Epstein, Benjamin Hescott, Diane L. Souvaine, Csaba D. Tóth, Andrew Winslow
2015 arXiv   pre-print
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 n/2 - 1. Light reflecting diffusely leaves a surface in all directions, rather than at an identical angle as with specular reflections.
arXiv:1302.2271v2 fatcat:crx4kkfm45h2fdt3kfrescsz5u