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2-Gen HTM Optimal Orientation Algs (see QTM)
Formal suggestion by Michael Gottlieb
Algs by Lucas Garron, Nov 08, 2010
Excuse the numbering.
Alg PDFs: 1.0, 1.1, 1.2

Case 0-1:

Case 0-2:

R U2 R' U2 R U2 R
Case 0-3:

R' U2 R' U2 R
Case 0-4:

R2 U R' U R
Case 0-5:

R2 U2 R
Case 0-6:

R2 U R' U2 R U2 R
Case 0-7:

R' U' R U R' U2 R
Case 0-8:

R2 U' R U' R
Case 1-1:

R' U R2 U2 R' U2 R
Case 1-2:

R' U R
Case 1-3:

R U2 R U' R U' R U2 R
Case 1-4:

R' U R' U R' U R
Case 1-5:

R' U R' U R' U2 R
Case 1-6:

R2 U' R
Case 1-7:

R2 U R' U2 R
Case 1-8:

R' U2 R' U R' U2 R
Case 2-1:

R U2 R' U2 R
Case 2-2:

R2 U R' U' R U2 R
Case 2-3:

R' U2 R
Case 2-4:

R U2 R2 U' R U' R
Case 2-5:

R' U' R
Case 2-6:

R' U R2 U2 R U2 R
Case 2-7:

R' U R' U2 R
Case 2-8:

R U' R' U R' U2 R
Case 3-1:

R U R
Case 3-2:

R' U2 R U2 R
Case 3-3:

R' U R U' R U2 R
Case 3-4:

R U2 R
Case 3-5:

R U R2 U2 R U2 R
Case 3-6:

R U' R U2 R
Case 3-7:

R2 U' R2 U R' U2 R
Case 3-8:

R2 U' R U R' U2 R
Case 4-1:

R' U R U' R
Case 4-2:

R U R2 U R
Case 4-3:

R' U2 R U' R U2 R
Case 4-4:

R2 U' R U' R U2 R
Case 4-5:

R' U R U2 R
Case 4-6:

R' U' R U2 R
Case 4-7:

R U' R U R' U2 R
Case 4-8:

R U' R U' R
Case 5-1:

R U2 R U2 R' U2 R
Case 5-2:

R
Case 5-3:

R2 U2 R' U2 R
Case 5-4:

R U' R2 U R' U R
Case 5-5:

R' U R' U2 R U2 R
Case 5-6:

R U' R' U R' U R' U2 R
Case 5-7:

R' U' R U' R
Case 5-8:

R U' R2 U R' U2 R
Case 6-1:

R' U R' U R U' R
Case 6-2:

R2 U R
Case 6-3:

R U2 R U' R U2 R
Case 6-4:

R U' R U' R U2 R
Case 6-5:

R U' R
Case 6-6:

R U2 R' U2 R U' R U2 R
Case 6-7:

R2 U' R U2 R
Case 6-8:

R U' R U' R U' R
Case 7-1:

R2 U R' U2 R' U2 R
Case 7-2:

R2 U2 R U' R U2 R
Case 7-3:

R U' R U R2 U2 R
Case 7-4:

R U2 R2 U R
Case 7-5:

R U' R2 U R
Case 7-6:

R2 U R2 U2 R
Case 7-7:

R2 U' R U' R U' R
Case 7-8:

R' U' R U' R U' R
Case 8-1:

R U' R' U R
Case 8-2:

R U' R' U2 R
Case 8-3:

R' U R' U' R U2 R
Case 8-4:

R2 U R' U R' U2 R
Case 8-5:

R U R' U2 R
Case 8-6:

R U R2 U2 R
Case 8-7:

R U2 R' U R' U2 R
Case 8-8:

R U' R2 U' R