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The cube has the coordinate origin in its center. Vertex 0 has coordinate (,,), vertex 1 has (,,), and vertex 7 has (,,).. Transformation matrices (3×3) in the same row have the same pattern of negative rows, and those in the same column have the same pattern of non-zero entries.
The method starts by creating a cross on any side of the cube, followed by F2L where 4 corner edge pairs are inserted into the cross, followed by OLL (Orientation of the Last Layer) where the top side is solved in 1 of 57 algorithms, and finally PLL (Permutation of the Last Layer) where you do 1 of 21 algorithms to solve the rest of the cube.
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The Square-1 puzzle was sold in this shape with instructions for turning it back to a cube. This is halfway through a vertical turn. The Square-1 is a variant of the Rubik's Cube. Its distinguishing feature among the numerous Rubik's Cube variants is that it can change shape as it is twisted, due to the way it is cut, thus adding an extra level ...
The term unit cube or unit hypercube is also used for hypercubes, or "cubes" in n-dimensional spaces, for values of n other than 3 and edge length 1. [1] [2]Sometimes the term "unit cube" refers in specific to the set [0, 1] n of all n-tuples of numbers in the interval [0, 1].
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Let φ be the golden ratio.The 12 points given by (0, ±1, ±φ) and cyclic permutations of these coordinates are the vertices of a regular icosahedron.Its dual regular dodecahedron, whose edges intersect those of the icosahedron at right angles, has as vertices the 8 points (±1, ±1, ±1) together with the 12 points (0, ±φ, ± 1 / φ ) and cyclic permutations of these coordinates.