[wrrpmhpw] Some Rubik's cube algorithms

2x2:

Solving the first face: Grab the URF cubie with multiple fingers. R2D'R rotates the cubie in place, not disturbing ULF or ULB.

Assume from here on, the down face is solved.

RU'L'UR'U'L permutes a pair of adjacent top face cubies.  This one I looked up online.  Doing this twice permutes a diagonal pair of top face cubies.

R2 U2 R* U2 R2 orients top face cubies.  The asterisk * signifies that any number of R turns do not disturb the bottom face, i.e., all the bottom face cubies are isolated on the left side.

RU'RU'R U* RU'RU'R U* RU'RU'R orients top face cubies.  With both asterisks -1 (quarter turn counterclockwise), it is a no-op.  This one is good for finger tricks.

3x3:

RUR'U' disturbs one down face cubie; then the obvious F'U'F puts it back, in the meantime accomplishing a permutation of corner cubies the upper face.  Similar to RU'L'UR'U'L above.  Doing it twice orients upper corner cubies.

RFBL U* L'B'F'R' permutes some edge cubies in the upper two layers,  leaving the BR one undisturbed.  Amazingly, this leaves upper corner cubies undisturbed, apart from a U rotation.

The above 2 algorithms along with mirror reversed versions were enough to solve the whole 3x3 cube:  Solve down face.  Permute top corners.  Orient top corners.  Solve middle edges.  Orient top edges.  Permute top edges.

These algorithms were discovered and developed with the Lego Rubik's cube.