Slashdot Mirror
4D Analogue of Megaminx Puzzle
roice writes "The crazy hypercubists who created the
4D and
5D Rubik's cubes (here are previous
Slashdot posts on
the 4-D one and
the 5-D one)
have now developed a free
working 4-dimensional software analogue of the
Megaminx puzzle. Composed of
120 dodecahedral cells, the
underlying structure is arguably the most beautiful of 4D geometrical shapes,
with amazing symmetries and no analogue in dimensions higher than 4.
Though some have already begun working on solutions for this 'Hyperminx,' it has
yet to be solved by anyone. Also, when it comes to
number of positions, it dwarfs the previous puzzles by many thousands of
orders of magnitude!"
For a true 4-dimensional Rubiks Cube, one that incorporates Time. Of course solving it will be incredibly disappointing, since after you do solve one, it turns out that it was solved all along.
Visualize our three dimensions as a bounded volume in 3-space. Then you can kind-of imagine the 4th and 5th spatial dimensions discreetly as 1- and 2-d arrays of such volumes.