There is an enormous range of possible color distributions that may be created with a light cone when the primary source is an array of multicolor light-emitting diodes (LEDs). If one looks through a lightpipe toward an LED array, multiple images of the color LEDs can be observed as in a kaleidoscope. A tapered lightpipe behaves as a three-dimensional kaleidoscope, and then, by changing the position and orientation of the red-green-blue LEDs can produce a plenty of amazing illumination patterns. We analytically calculate this color spatial distribution of the illumination pattern produced by a tapered lightpipe. Moreover, we simulate these color illumination patterns, and analyze their structure and symmetry.© (2010) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.