V-Cube 7

V-Cube 7, solved

The 7x7x7 magic cube was first made by Verdes and sold under the name V-Cube 7. It is also sold as the Shengshou 7x7x7.

These larger puzzles are quite time-consuming to solve, and solving them can look quiet impressive if impressing others is your thing, but really they don’t offer anything new over the smaller puzzles. The V-Cube 7 operates on all the same principles as the V-Cube 5. And in fact it is easier than the smaller V-Cube 6, since the even-numbered sizes have parity-issues that the odd-numbers sizes do not.

Incidentally, magic cubes with more than 6 layers must have the rounded or “pillowed” shape: a properly cubic 7x7x7 magic cube is an engineering impossibility.

Number of positions

According to Wikipedia, the V-Cube 7 has 19 500 551 183 731 307 835 329 126 754 019 748 794 904 992 692 043 434 567 152 132 912 323 232 706 135 469 180 065 278 712 755 853 360 682 328 551 719 137 311 299 993 600 000 000 000 000 000 000 000 000 000 000 000; on the short scale you would call this about 19.5 duoquinquagintillion.

Variations and related puzzles

The V-Cube 7 is the 7x7x7 in a long series of magic cube puzzles, ranging from the 2x2x2 Pocket Cube, through the 3x3x3 Rubiks Cube, and so on. There are also cuboids with a non-cubic aspect; for example the 2x3x4.