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.
- Art gallery
- Link distance
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics