If rooms in an office building are allowed to be any rectangular solid, how many colors does it take to paint any configuration of rooms so that no two rooms sharing a wall or ceiling/floor get the same color? In this work, we provide a new construction which shows this number can be arbitrarily large.
- Chromatic number,
- Channel assignment problem,
- 3 dimensional rectangular blocks
Available at: http://works.bepress.com/colton_magnant/5