Rubik's Domino Algorithms

Rubik's Domino 1-Look Last Layer refers to the Last Layer of the Rubik's Domino. This cuboid is functionally a 3x3 where the only moves allowed are〈U, D, R2, L2, F2, B2〉and the equator line is ignored. In this 3x3x2 cuboid, OLL is always skipped after compleating the first layer: it is impossible to not have the two 3x3s faces always oriented correctly.

"(R2 U2)3" is an example of a swap of four edges, effectivelly creating a swap of 2 visible edges and 2 invisible edges on the Rubik's Domino.

The reason why you can get pairity on the Domino Cube is because swapping 4 edges is possible on a 3x3, therefore you can swap 2 pieces on the hidden equator line of the Domino Cube to swap just two pieces.

3x3 Top Layer: Last Layer Algorithms

Permutations of edges only (No Parity)
H Permutation Alg M2 U M2 U2 M2 U M2	Ua Permutation Alg y2 F2 U R2 F2 R2'U2 R2 F2 R2 U F2 Alg R2 U F2 L2 B2 D' B2 L2 F2 U2 R2	Ub Permutation Alg y2 F2 U' R2 F2 R2 U2 R2 F2 R2 U' F2 Alg R2 U2 F2 L2 B2 D B2 L2 F2 U' R2	Z Permutation Alg M2 U' M2 F2 M2 F2 U M2 Alg y F2 M2 F2 M2 U M2 U M2
Permutations of corners only (No Parity)
Aa Permutation Alg y2 R2 U R2 U' F2 U R2 U' F2 R2 Alg R2 U F2 U' F2 R2 U' R2 U F2	Ab Permutation Alg y2 R2 F2 U R2 U' F2 U R2 U' R2 Alg F2 U' R2 U R2 F2 U F2 U' R2	E Permutation Alg R2 U2 R2 U' R2 U2 y' R2 U' R2 U R2 y U2 R2 U' R2 Alg y R2 U' R2 U B2 U' R2 F2 U B2 U' F2 U R2 Alg F2 U R2 U' L2 U R2 F2 U' L2 U F2 U' F2
Permutations of Edges and Corners (No Parity)
F Permutation Alg y R2 U R2 F2 U2 F2 U R2 U' R2 U' R2 U2 F2 Alg R2 F2 U' F2 D F2 L2 D L2 D' L2 U L2 F2 R2	Ga Permutation Alg y2 F2 r2 R2 U F2 U' R2 U R2 U' r2 F2 Alg y' F2 U2 F2 U F2 U' F2 U' R2 U2 F2 U F2 U R2 Alg y2 F2 R2 L2 U R2 U' R2 U F2 U' L2 F2	Gb Permutation Alg y2 F2 r2 U R2 U' R2 U F2 U' R2 r2 F2 U Alg y2 F2 L2 U F2 U' R2 U R2 U' M2 B2	Gc Permutation Alg y2 F2 R2 r2 U' F2 U r2 U' F2 U R2 F2 Alg R2 U2 R2 U' R2 U R2 U F2 U2 R2 U' R2 U' F2 Alg y2 F2 R2 L2 U' L2 U L2 D' L2 D R2 F2
Gd Permutation Alg y2 F2 R2 U' F2 U r2 U' F2 U R2 r2 F2 Alg y' U2 F2 U R2 U2 F2 R2 U' R2 U' R2 U F2 U F2 Alg y2 F2 R2 D' L2 D L2 U' L2 U L2 R2 F2	Ja Permutation Alg y2 R2 U' R2 U y' R2 U' R2 U R2 B2 Alg y2 R2 U' R2 U F2 U' F2 U F2 R2 Alg y D2 R2 F2 D' L2 U L2 D' L2 U L2	Jb Permutation Alg y2 F2 R2 U R2 U' R2 y' U R2 U' R2 Alg y2 F2 R2 U R2 U' R2 U F2 U' F2 Alg y' D2 L2 F2 D R2 U' R2 D R2 U' R2	Na Permutation Alg F2 R2 U2' R2 U' R2 y' R2 U2' R2 U R2 U2' f2 x2 Alg R2 U2 F2 U' F2 U2 F2 R2 U R2 U2 R2 F2
Nb Permutation Alg F2 U2 R2 U R2 U2' R2 y' R2 U' R2 U2 R2 B2 Alg F2 U2' R2 U R2 U2' R2 F2 U' F2 U2' F2 R2 Alg R2 F2 U2 F2 U F2 R2 U2 R2 U' R2 U2 F2	Ra Permutation Alg y2 R2 U' R2 U R2 U2 R2 y U R2 U R2 U' R2 U' F2 Alg y F2 U2 R2 U' L2 U R2 F2 U F2 U2 L2 U' F2	Rb Permutation Alg y2 R2 U R2 U' R2 U2' R2 U' y' R2 U' R2 U R2 U B2 Alg y F2 R2 F2 U F2 R2 U R2 U' R2 U F2 U' R2 F2 Alg y F2 U2 L2 U R2 U' L2 F2 U' F2 U2 R2 U F2	T Permutation Alg R2 U' R2 U R2 y R2 U R2 U' R2 Alg R2 D' F2 U F2 R2 U R2 U' R2
V Permutation Alg R2 U' R2 U2 F2 U R2 U R2 y' R2 U2 R2 U f2 x2 Alg R2 D R2 D2 F2 U' F2 D R2 F2 U2 F2 U R2 U'	Y Permutation Alg y2 R2 U' R2 U2 y R2 U R2 U R2 U2 R2 y' R2 U R2 Alg y R2 U R2 U2 F2 U' F2 U' F2 U2 F2 R2 U' R2
All Corners Solved (Parity)
I Permutation Alg R2 U2 R2 U2 R2	Adjacent Edges Permutation Alg R2 U R2 U' R2 U2 R2 U2 R2 U' R2 U' R2	Oa Permutation Alg M2 U' M2 U' M2 F2 M2 y' U2 R2 U2 R2	Ob Permutation Alg R2 U2 R2 U2 y M2 F2 M2 U M2 U M2
W Permutation Alg r2 U M2 U R2 U' M2 U' r2
Adjacent Corner Swap (Parity)
Adjacent Corners Permutation Alg y R2 U2 R2 U2 R2 U R2 U R2 U' R2 y' R2 U' R2 U R2	Pa Permutation Alg y' F2 U R2 U R2 U2 F2 U' R2 U' R2 U' R2	Pb Permutation Alg y R2 U R2 U R2 U F2 U2 R2 U' R2 U' F2	Ka Permutation Alg R2 U R2 U F2 U' R2 U R2 U F2 U R2
Kb Permutation Alg R2 U R2 U' F2 U R2 U R2 U2 F2 R2	Ba Permutation Alg R2 U' R2 U R2 U2 y R2 U2 R2 U' R2 U' R2	Bb Permutation Alg R2 U R2 U' R2 U2 y' R2 U2 R2 U R2 U R2 Alg R2 U R2 U F2 U2 R2 F2 U F2 U F2	Da Permutation Alg R2 U' R2 U' R2 U2' R2 y U2 R2 U R2 U' R2 Alg R2 U' R2 U F2 U' F2 U' R2 U2 F2 R2
Db Permutation Alg R2 U R2 U R2 U2 R2 y' U2 R2 U' R2 U R2 Alg R2 U R2 U R2 F2 U2 R2 U F2 U F2 U2	Ca Permutation Alg y' R2 r2 F2 U r2 U R2 U2 F2 r2 U r2 U R2 Alg y' R2 F2 U' R2 F2 U R2 U2 R2 U' R2 F2 U R2	Cb Permutation Alg R2 U' r2 U' r2 F2 U2 R2 U' r2 U' F2 r2 R2 Alg R2 U' F2 R2 U R2 U2 R2 U' F2 R2 U F2 R2	M Permutation Alg R2 U' R2 U R2 y R2 U R2 U R2 U2 R2 U
Diagonal Corners Swap (Parity)
Diagonal Corners Permutation Alg y F2 R2 U2 R2 U' R2 y' R2 U2 R2 U R2 B2 U2 B2 Alg y F2 R2 U2 R2 U' R2 F2 U2 F2 U F2 R2 U2 R2	Q Permutation Alg R2 U' F2 U2 R2 U F2 U' R2 U2 F2 U R2	X Permutation Alg F2 R2 U R2 U2 F2 U' R2 U F2 U2 R2 U' R2 F2 Alg F2 r2 U F2 U2 r2 U' F2 U r2 U2 F2 U' r2 F2 Alg F2 U' R2 r2 U' F2 r2 U' r2 U2 F2 U' r2 U2 F2 Alg F2 U' R2 r2 U' F2 r2 U F2 U2 r2 U r2 U2 F2 Alg F2 U2 R2 U' r2 U F2 R2 F2 U' r2 U R2 U2 F2	Sa Permutation Alg R2 U' F2 U R2 U' F2 U' R2 U R2 U' R2
Sb Permutation Alg y R2 U' R2 U2 F2 U R2 U R2 U2 F2 U' R2
External Links akanearcane's 2x3x3 Rubik's Domino Algorithm Sheet