It doesn’t seem like geometry should allow
these shapes to perform the way they do.
The cube turns inside out,
and transforms into stars.
This puzzling cube seems like an optical illusion in three dimensions, or some kind of magic trick, but there’s no trick, only clever construction. It’s sold by the Museum of Modern Art:
Naoki Yoshimoto invented the Yoshimoto Cube when he was searching for a way to divide a cube equally. The result is a peculiar polyhedral dyad consisting of eight interconnected cubes that can be divided in multiple ways. The cube can be divided into two cubes and then transformed into two rhombuses, one silver, and the other gold, each with 12 faces. With its endless transformations, this cube makes a great toy for children, as well as an intriguing desktop puzzle. Recommended for ages 8 and up. ($65)
Yoshimoto Cube demonstration by Philip Brocoum
Buy one at MOMA (the Museum of Modern Art)>>
– Yoshimoto cube>>
It has also been sold as The Shinsei Mystery or Shinsei Twin Comets. Here’s a demonstration at Google videos>>
A video on how to make the "Crazy Star Cube" out of paper, at Metacafe>>