Virtual Cubes

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V-Cube 6

The V-Cube 6, invented by Panagiotis Verdes, is the 6x6x6 version of the Rubik's Cube. Unlike the original puzzle, it has no fixed facets: the center facets (16 per face) are free to move to different positions.

A V-Cube 6 consists of 152 unique miniature cubes, also called 'cubies': 8 corners, 48 edges, and 96 centers. The 6x6x6 cube has a total of 216 stickers.

The number of possible positions

The number of possible positions of the cube is 8! × 37 × 24!6 / 4!24 × 24 ≈ 1.571 × 10116 which is about 157.1 novemdecillion on the long scale or 157.1 septentrigintillion on the short scale.

The diameter of the V-Cube 6

In July 18, 2011, Tomas Rokicki computed lower bounds for the N × N × N Rubik's Cubes using six different metrics. According to this, the 6x6x6 has a lower bound of 59 block turns. See also the article Lower Bounds for n x n x n Rubik's Cubes (through n=20) in Six Metrics for further informations.

© Walter Randelshofer. All rights reserved.