An Infinitely Colorable Set of 3D Regions

Suppose that if two regions touch, then they should have different colors. How many colors suffice? In the plane, four colors are sufficient. In 3D, the set of regions shown requires an infinite number of colors.

comments
 
Powered by Wolfram Mathematica
Give us your feedback
Give us your feedback

Source page:




 often  occasionally  never

Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed.
Privacy Policy »

Note: To run this Demonstration you need the free
Mathematica Player
or Mathematica 7+
Download or upgrade to Mathematica Player 7
I already have Mathematica Player or Mathematica 7+