M: Turn the middle layer behind the L face in the same direction as L.For example, u denotes a simultaneous clockwise turn of the U face and the layer beneath it. They are denoted by the lower-case equivalent of their corresponding face turn. I will mention a few additional turns, but their mechanics, along with those already mentioned, are best observed in the widget below.ĭouble layer turns effect both a face and the layer behind that face.
For example, x' (U F)3 = x' U F U F U F and (U F' z R')' = R z' F U'. We can also invert and repeat sequences of turns. A numerical suffix denotes repetition of a turn. For example, U' denotes a counter-clockwise turn of the U face. To invert a turn, we append a ', which we pronounce “inverse” or “prime”. We denote the clockwise rotations about the x, y, and z axes in the directions of R, U, and F respectively as x, y, and z. We also consider rotations of the entire cube about its axes as modifying the its state. For example, the turn denoted U is a clockwise turn of U face from the perspective of looking at that face from outside of the cube. We denote the clockwise turn of a face by the name of the face itself. The most basic turns correspond to the 6 faces. We can modify the state of the cube by the turns its mechanism permits. Corners: the sticker location on the U or D face.Edges: the sticker location on the U or D face if such a sticker location exists, or the sticker location on the F or B face otherwise.Primary sticker locations are determined as follows: One sticker location on each piece location is designated as the primay sticker location, which we use to specify that piece location. Center piece locations contain one sticker location, edges two, and corners three. The cube is composed of 26 piece locations. LUF is the sticker location on the L that boarders both the U and F faces). Corner stickers are specified by the face they lie on, and then the two faces they boarder, in clockwise order around the corner piece (e.g.LU is the sticker location on the L face adjacent the the U face). Edge stickers are specified by the face they lie on, and then the face they boarder (e.g.L is the sticker location at the center of the L face). Center stickers are specified by the face they lie on (e.g.We specify sticker locations of each type differently: A sticker location is either a center (at the center of the face), an edge (adjacent to the center by an edge), or a corner (adjacent to the center by a corner). The cube has 6 faces: Up, Down, Left, Right, Front, and Back.Įach face contains 9 stickers locations. You solve the cube (the execution phase).You inspect the cube (the memorization phase).I give you a cube in an arbitrary state.This article doesn’t assume any knowledge of cube theory, but the reader will find some undergraduate math (e.g. basic group theory) useful.įurthermore, this article is not a tutorial, but rather an in-depth exploration. = UNDER CONSTRUCTION =Īll that’s necessary for solving the cube blindfolded is a solid understanding of the basic properties of the cube and some practice.
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