6x6x6

6x6x6 refers to a cube with equal edge lengths of six units along each axis. In this form it can describe either a solid geometric cube with side length six or a mechanical puzzle consisting of six layers per dimension, commonly known in speedcubing as the 6x6x6 Rubik's cube.

Geometrically, its volume is 6^3 = 216 cubic units, and its surface area is 6*(6^2) = 216 square units. The space diagonal is 6√3 units, and the face diagonals are 6√2.

As a puzzle, the 6x6x6 is an even-order cube; the centers are not fixed, and the puzzle contains many edge pieces that must be paired to form 12 apparent edges. Solving typically proceeds by solving centers and pairing edges to reduce to a 3x3x3 problem; parity phenomena can occur, producing situations that have no analogue on a standard 3x3x3.

In practice, 6x6x6 puzzles are produced by companies such as V-Cube and Shengshou; common features include a layered internal mechanism and a stickered color scheme. Solving strategies and algorithms differ from 3x3x3 methods and require dedicated parity algorithms.

In mathematics and education, the 6x6x6 serves as a straightforward example of three-dimensional shapes, volume, surface area, and diagonal length, illustrating scaling properties of cubes.

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