Terms and designations for schemes of solving and rotation of the Rubik's cube

If you are going to master a Rubik's cube in order to solve it entirely, learn new methods of solving or create patterns on it (like a kind of games), then you just need to understand and use a certain language, a system for transmitting information about actions with a cube.Therefore, now we will get acquainted with a special language: the notation system for describing the actions and schemes of rotation (permutation) of the Rubik's cube. 



How the sides of a Rubik's cube are marked

  • U - up face
  • D - down face
  • L - left face
  • R - right face
  • F - front face
  • B - back face

Rotations

You can rotate:
  • cube layers in space planes,
  • the whole cube itself.
There are two possible directions of rotation: clockwise and counterclockwise. The designation of a single rotation is very simple: the corresponding letter. This one rotation itself is performed only 90 degrees in the selected plane. In the case of a 180 degree rotation, this action is indicated by the number 2 behind the letter.

Clockwise rotation is indicated simply by a letter. Counterclockwise rotation - letter with apostrophe (prime) '.
  • F - front side clockwise,
  • B - back side clockwise,
  • L - left side clockwise,
  • R - clockwise right side,
  • U - upper side clockwise,
  • D - bottom side clockwise.
180 degrees will be, for example, R2, L2, and so on.
  • F'- front side counterclockwise,
  • B'- back side counterclockwise,
  • L'- left side counterclockwise,
  • R'- right side counterclockwise,
  • U'- top side counterclockwise,
  • D'- bottom side counterclockwise.
There will also be R2, L2 at 180 degrees. The result is the same. But sometimes the direction can be written with an apostrophe, in order to speed up the solving and indicate in which direction it is preferable to rotate. Please note that these are capital letters.

When you need to rotate two layers at the same time, then such rotations are indicated in two ways:
  • small letters of the sides of the cube,
  • capital letter side + w.
We will use the small letter notation to rotate two layers of a cube at the same time.

The rotations of the two layers are simultaneously recorded as follows:
  • f - front side with the middle layer clockwise,
  • b - back side together with the middle layer clockwise,
  • l - left side along with the middle layer clockwise,
  • r - right side along with the middle layer clockwise,
  • u - top side with the middle layer clockwise,
  • d - bottom side along with the middle layer clockwise.
A dash notation indicates counterclockwise rotation:
  • f '- front side together with middle layer counterclockwise,
  • b'- back side together with the middle layer counterclockwise,
  • l'- left side along with the middle layer counterclockwise,
  • r'- right side together with middle layer counterclockwise,
  • u'- top side with middle layer counterclockwise,
  • d'- bottom side together with middle layer counterclockwise.
Double rotation is written in the same way, for example: f2, u2, r2' and so on.

See an example of such rotations in the figure below.
Sometimes only the middle layer needs to be rotated. This action can be recorded in two moves, indicating the rotations of the outer layers or sides of the cube, or you can use a shorter and more understandable notation, indicating the rotation of the middle layer.

The following layer conventions are used:
  • M (middle) - Indicates the middle layer between the left and right layers (between L and R).
  • S (standing) is the middle layer between the front and back layers (between F and B).
  • E (equatorial) - denotes the middle layer, located between the top and bottom layers (between U and D).
The rotations of these layers are denoted similarly.

  • M - layer M goes with the top corner down and towards the observer, when viewed from the front (rotate clockwise, when viewed from the left L side).
  • M'- layer M goes up, from the viewer at the top corner (rotate counterclockwise, when viewed from the left L side).
  • S - Rotate the layer clockwise. Everything is simple here, since the layer is located behind the front edge.
  • S'- rotate counterclockwise. Also does not cause difficulties with orientation and direction.
  • E - Rotate layer E clockwise, as viewed from below (!) That is, you need to represent the clock face on the bottom layer D.
  • E'- rotate the layer counterclockwise, as viewed from below.
If after the letter there is a number 2 (two), this means that the layer is rotated by 180 degrees.
Look at the drawing with all the options for rotating the layers and sides of the Rubik's cube.



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