Brain Twist

Patented by C. Hoberman and M. Davis 2005, made by Hoberman Designs.
(plastic, each edge of the pyramid shape is 4.75 inches)

Below are the directions that came with the puzzle. Jaap's Page presents a solution and relates it to that for the Dino Cube, Rainbow Cube, Platpus.

Further Reading
Jaap's Page, from:
Hoberman and Davis Patent,, from: - patent no. 7,125,015