I have collected several magic cubes. Most of the magic cubes shown below are perfect magic cubes.

As long as I know, I can mention the followings:

- 4n-type cube has general algorithm (at least reported by Andrew.)
- I have an algorithm to construct arbitrary prime order complete magic cube (N>6).
- My generic algorithm for m-dimensional (N
^{m}hyper magic cube covers arbitrary odd number order N except N=5 (as a particular case m=3). - There is well known algorithm to construct 5x5x5 and 3x3x3 magic cube (reported by Andrew.)
- 6x6x6 complete magic cube and 10x10x10 magic cube are reported in Japanese book.
- Since we have 6x6x6 and 10x10x10 magic cubes, we can obtain 6(2m+1) and 10(2m+1) ordered magic cubes by the multiplication method. Therefore, it is conjectured that we can obtain 18x18x18 30x30x30 magic cubes, though they are 4n+2 type.

- 3x3x3 magic cube
- 4x4x4 magic cube
- 5x5x5 magic cube
- 6x6x6 magic cube
- 7x7x7 magic cube
- 8x8x8 magic cube
- 9x9x9 magic cube
- 12x12x12 magic cube
- 11x11x11 magic cube
- 13x13x13 magic cube
- 15x15x15 magic cube
- 16x16x16 magic cube
- 17x17x17 magic cube
- 19x19x19 magic cube
- 20x20x20 magic cube
- 21x21x21 magic cube
- 23x23x23 magic cube
- 24x24x24 magic cube
- 25x25x25 magic cube