Magic Cube 7D is a fully functional implementation of twelve higher-dimensional analogues of the Rubik's Cube from 3⁴ to 5⁷.

What you see above is a solved 3⁷ cube. Displayed are 7 of its 14 sides at a time plus parts of six more. (A seven-dimensional cube has 14 sides!) One side is always completely invisible. If you scramble the puzzle, the picture gets more interesting:

If you think that it's difficult to find something in this picture, you are right. The program can help by allowing you to hide some pieces of the cube while making some others transparent:

Does this look more understandable? I also think so. Indeed, the 3⁷ has only 2172 moving pieces with 10206 visible stickers (and 15309 of them may be on the screen at the same time). This puzzle has about 3.37 x 10⁸⁹³⁵ possible states, one of which is the solved cube. Very few people can solve it. And if the puzzle above is not enough for you, you may try something bigger:

It's a 5⁷ cube. 78110 moving parts, 218750 visible stickers... Maybe somebody will solve it, in ten years or less.

Are you ready for the adventure? Download the program here. Unpack it in a folder and double-click the .exe file. It requires Microsoft .NET 2.0 and runs in Windows only. See the instructions here.

The source code is here. Use it as you like so long as you give clear and obvious credit to the author.

Magic Cube 7D took many ideas from the MagicCube4D project. I would like to thank its developers Don Hatch, Melinda Green, Jay Berkenbilt and Roice Nelson for this wonderful puzzle and for the very interesting Hypercubing Group!

Related links:

• MagicCube4D - Not only cubes. There are many other 4D puzzles inside one program, most of them are still unsolved
• MagicCube5D - 5-dimensional cube. If you want to work in 5D without the fractal unfolding of extra dimensions, this is the way to go.
• Magic120Cell - 120-Cell is one of two largest regular polytopes in 4D. This puzzle is a 4D analogue of the 3D Megaminx.
• MagicCube4D Hall of Fame - Most of hypercubists started with 3⁴ cube. Now there are over four hundred of them.
• Extended Hall of Fame - When you want to solve something more interesting than cubes, go there. This page has enough empty lines.
• MagicCube5D Hall of Insanity - They solved the MagicCube5D puzzle. They are heroes.
• Hyperubing Group - Mailing list for hypercubists.

Good luck!

Andrey Astrelin

3⁶

4⁶

5⁶

3⁷

Send your solution log files here.