Diffuse Reflections in Simple Polygons

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

Research output: Contribution to journalArticlepeer-review


We prove a conjecture of Aanjaneya, Bishnu, and Pal that the maximum number of diffuse reflections needed for a point light source to illuminate the interior of a simple polygon with n walls is ⌊. n/2⌋. - 1. Light reflecting diffusely leaves a surface in all directions, rather than at an identical angle as with specular reflections.

Original languageEnglish
Pages (from-to)345-350
Number of pages6
JournalElectronic Notes in Discrete Mathematics
StatePublished - 5 Nov 2013


  • Art gallery
  • Illumination
  • Link distance

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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