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FH Algorithms

Every algorithm for all 172 FH cases, ranked by the alg sources that match real solves.

What makes this database different

Consensus scores every alg site and sheet against what top solvers were actually reconstructed doing, then adds up what those resources recommend for this case. A resource whose picks match real usage counts for several times more than one whose picks don't, and each resource's own top pick counts more than its alternates. So the order here is fed by pro solves, one step removed. How it works.

Alg lists repeat themselves: the same turns show up reordered, behind a different alignment, or just spelled a different way - a slice M written as r'R , a wide l written as x'R . Those all move the cube through exactly the same states, so we fold them into one row and add up their votes.

FH-T T left perm, written 2 ways
RD'R2UR2U'R2
0
RU'B2UB2U'B2
+ 0
RD'R2UR2U'R2 ×2
= 0

Mirrors are the exception: a left-handed version keeps its own row, because doing an algorithm on the other side is a genuinely different thing to learn.

Read more

Grouping gives an algorithm a shape you can picture instead of a string you have to spell, and it exposes the family resemblances: algorithms built from the same trigger carry the same colour, so the one you already know gives you a head start on the next. The Rightie RUR'U' gets one colour, the sledgehammer R'FRF' another. Hover any box for its name.

RUR'U'
One trigger, whole: the Rightie, four turns read as a single motion.
RU2R'U'RU'R'
A double to set the hold, then the insertion - one shape, not seven turns.
FRU'R'U'RUR'F'
A long conjugate: set up with F, work, undo - shaded deepest at the turn it set up for.

Cubers have always marked triggers by hand, in parentheses: F (R U R' U') (R U R' U') F'. The boxes are that convention drawn instead of typed, and they are worked out from the moves themselves rather than stored per algorithm - so every algorithm in the database has them, including the ones nobody ever bracketed.

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FH Overview

most-recommended algorithms for every case

FH-U
35%
U 31%
U2 16%
All 5 algs
U 66%
U2 16%
U' 10%
All 4 algs
35%
U' 31%
16%
All 5 algs
35%
U2 31%
10%
All 4 algs
35%
U' 31%
16%
All 4 algs
30%
U2 27%
15%
All 6 algs
35%
U' 31%
16%
All 5 algs
U' 35%
U 31%
U' 10%
All 4 algs
35%
U 31%
U2 16%
All 5 algs
27%
24%
U 14%
All 7 algs
62%
U 38%
All 2 algs
35%
U' 31%
All 2 algs
U' 30%
U2 15%
13%
All 3 algs
U 35%
All 2 algs
43%
38%
U 19%
All 3 algs
U2 38%
U' 34%
17%
All 4 algs
U 38%
U 34%
11%
All 3 algs
U' 67%
U' 33%
All 2 algs
35%
31%
U 16%
All 5 algs
U2 38%
U2 34%
11%
All 3 algs
42%
37%
U' 21%
All 3 algs
U 53%
All 1 algs
35%
U' 31%
18%
All 4 algs
43%
38%
U 19%
All 3 algs
35%
U2 31%
10%
All 4 algs
U' 35%
U2 31%
All 2 algs
U' 43%
U2 27%
15%
All 5 algs
U 30%
U 27%
U 15%
All 5 algs
72%
U2 17%
U' 11%
All 3 algs
U 38%
U 34%
U2 17%
All 4 algs
35%
U' 10%
All 2 algs
35%
16%
All 3 algs
U 32%
U 28%
16%
All 3 algs
35%
U2 31%
U' 16%
All 5 algs
U' 35%
U 16%
U2 10%
All 3 algs
43%
U' 38%
19%
All 3 algs
43%
All 1 algs
81%
U 19%
All 2 algs
30%
U2 27%
15%
All 4 algs
U2 32%
28%
U2 25%
All 4 algs
100%
All 1 algs
100%
All 1 algs
100%
All 1 algs
FH-T
43%
38%
All 2 algs
U2 38%
U2 34%
U' 17%
All 4 algs
43%
38%
19%
All 3 algs
32%
U2 28%
16%
All 5 algs
55%
U' 34%
U 11%
All 3 algs
U 35%
33%
U' 31%
All 3 algs
33%
29%
15%
All 6 algs
U' 100%
All 1 algs
53%
47%
All 2 algs
35%
U2 31%
U' 16%
All 5 algs
38%
U2 34%
17%
All 4 algs
U' 81%
U2 19%
All 2 algs
U' 49%
34%
U 17%
All 3 algs
U' 81%
19%
All 2 algs
38%
U2 34%
17%
All 4 algs
U 43%
38%
U 19%
All 3 algs
U 35%
U 33%
31%
All 3 algs
U' 38%
U' 34%
17%
All 4 algs
35%
31%
U 18%
All 4 algs
U2 43%
38%
U2 19%
All 3 algs
38%
17%
U2 11%
All 3 algs
43%
U' 38%
19%
All 3 algs
100%
All 1 algs
81%
U' 19%
All 2 algs
U2 53%
47%
All 2 algs
55%
U' 34%
U2 11%
All 3 algs
U' 43%
U' 38%
U2 19%
All 3 algs
29%
14%
U' 13%
All 5 algs
U 55%
34%
U2 11%
All 3 algs
62%
U' 38%
All 2 algs
60%
16%
U2 14%
All 4 algs
U 32%
16%
U 14%
All 5 algs
U 41%
U 30%
U2 13%
All 5 algs
U' 30%
U' 15%
All 4 algs
U 53%
U 47%
All 2 algs
43%
U' 38%
U 19%
All 3 algs
43%
38%
U 19%
All 3 algs
42%
37%
21%
All 3 algs
U2 38%
34%
U 17%
All 4 algs
U 62%
38%
All 2 algs
100%
All 1 algs
55%
27%
18%
All 3 algs
100%
All 1 algs
U-FH
U' 37%
U 25%
U' 14%
All 4 algs
U 49%
U2 34%
17%
All 3 algs
U2 81%
19%
All 2 algs
U' 45%
U 31%
U2 16%
All 4 algs
51%
U' 31%
U 10%
All 4 algs
U2 29%
U' 26%
U 14%
All 6 algs
U 43%
U' 38%
U2 19%
All 3 algs
U' 46%
U2 44%
10%
All 3 algs
35%
U2 10%
All 2 algs
43%
U' 31%
16%
All 4 algs
U2 49%
U' 34%
17%
All 3 algs
U2 32%
U 28%
U 16%
All 5 algs
U2 51%
U 31%
U' 10%
All 4 algs
U2 60%
16%
U' 14%
All 4 algs
51%
U 10%
All 3 algs
U' 38%
U 34%
U2 17%
All 4 algs
55%
U2 34%
U 11%
All 3 algs
41%
U2 28%
16%
All 4 algs
U2 35%
U2 31%
U' 16%
All 5 algs
43%
U' 38%
19%
All 3 algs
U2 43%
U 27%
22%
All 4 algs
U2 35%
U' 31%
16%
All 5 algs
30%
U 28%
All 3 algs
32%
28%
U2 25%
All 4 algs
U' 38%
34%
U2 11%
All 3 algs
U 43%
U2 38%
19%
All 3 algs
U' 38%
34%
U2 17%
All 3 algs
30%
27%
15%
All 4 algs
U' 38%
34%
U' 11%
All 3 algs
30%
U 27%
U' 24%
All 5 algs
30%
U' 27%
15%
All 6 algs
38%
U2 34%
U' 17%
All 4 algs
35%
31%
U2 10%
All 3 algs
U2 38%
U2 34%
17%
All 4 algs
U2 43%
U' 31%
16%
All 4 algs
43%
38%
U 19%
All 3 algs
43%
38%
U 19%
All 3 algs
53%
47%
All 2 algs
43%
38%
U2 19%
All 3 algs
38%
U' 34%
All 2 algs
U 67%
U2 33%
All 2 algs
100%
All 1 algs
67%
33%
All 2 algs
T-FH
U 30%
U' 15%
U' 13%
All 4 algs
U 35%
31%
18%
All 4 algs
81%
U' 19%
All 2 algs
U 56%
15%
U2 13%
All 5 algs
U 55%
U' 27%
U2 18%
All 3 algs
42%
U' 37%
U2 21%
All 3 algs
U 30%
U2 28%
U 27%
All 5 algs
U' 35%
18%
16%
All 3 algs
U2 53%
U 47%
All 2 algs
U' 60%
U 16%
14%
All 4 algs
U 30%
15%
U2 13%
All 5 algs
U2 30%
27%
U' 15%
All 6 algs
U2 46%
U 28%
U 16%
All 4 algs
U' 35%
31%
U 16%
All 5 algs
32%
U 28%
U2 14%
All 4 algs
32%
U2 30%
U 28%
All 4 algs
30%
U' 27%
15%
All 6 algs
38%
U 34%
All 2 algs
U2 43%
15%
All 2 algs
U' 28%
U' 14%
U2 13%
All 5 algs
35%
U2 31%
U' 16%
All 5 algs
32%
28%
16%
All 4 algs
38%
34%
All 2 algs
32%
28%
16%
All 3 algs
55%
U' 34%
U2 11%
All 3 algs
38%
U2 34%
17%
All 4 algs
U' 43%
U2 27%
U' 15%
All 5 algs
U' 35%
U' 31%
16%
All 5 algs
U2 72%
11%
All 2 algs
46%
U' 44%
U 10%
All 3 algs
43%
U' 27%
15%
All 4 algs
36%
U 27%
15%
All 5 algs
79%
U 21%
All 2 algs
79%
21%
All 2 algs
35%
31%
U 16%
All 5 algs
67%
33%
All 2 algs
U 43%
38%
U 19%
All 3 algs
79%
21%
All 2 algs
35%
U2 31%
All 3 algs
U2 38%
U 34%
U2 17%
All 4 algs
U 100%
All 1 algs
67%
33%
All 2 algs
100%
All 1 algs