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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
R D' R2 U R2 U' R2
0
R U' B2 U B2 U' B2
+ 0
R D' R2 U R2 U' 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 R U R' U' gets one colour, the sledgehammer R' F R F' another. Hover any box for its name.

R U R' U'
One trigger, whole: the Rightie, four turns read as a single motion.
R U2 R' U' R U' 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-U

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T-FH

FH Overview

most-recommended algorithms for every case

FH-U
34%
U32%
U216%
All 5 algs
U66%
U216%
U'11%
All 4 algs
34%
U'32%
16%
All 5 algs
34%
U232%
11%
All 4 algs
34%
U'32%
16%
All 4 algs
29%
U227%
15%
All 6 algs
34%
U'32%
16%
All 5 algs
U'34%
U32%
U'11%
All 4 algs
34%
U32%
U216%
All 5 algs
27%
25%
U13%
All 7 algs
61%
U39%
34%
U'32%
U'29%
U215%
13%
U34%
All 2 algs
42%
39%
U19%
U237%
U'34%
17%
All 4 algs
U37%
U34%
11%
U'67%
U'33%
34%
32%
U16%
All 5 algs
U237%
U234%
11%
41%
38%
U'21%
U52%
35%
U'32%
17%
All 4 algs
42%
39%
U19%
34%
U232%
11%
All 4 algs
U'34%
U232%
U'43%
U227%
15%
All 5 algs
U29%
U27%
U15%
All 5 algs
71%
U217%
U'11%
U37%
U34%
U217%
All 4 algs
34%
U'11%
34%
16%
All 3 algs
U31%
U29%
16%
34%
U232%
U'16%
All 5 algs
U'34%
U16%
U211%
42%
U'39%
19%
42%
81%
U19%
29%
U227%
15%
All 4 algs
U231%
29%
U225%
All 4 algs
100%
100%
100%
FH-T
42%
39%
U237%
U234%
U'17%
All 4 algs
42%
39%
19%
31%
U229%
16%
All 5 algs
54%
U'34%
U11%
U35%
33%
U'32%
32%
30%
15%
All 6 algs
U'100%
52%
48%
34%
U232%
U'16%
All 5 algs
37%
U234%
17%
All 4 algs
U'81%
U219%
U'49%
34%
U17%
U'81%
19%
37%
U234%
17%
All 4 algs
U42%
39%
U19%
U35%
U33%
32%
U'37%
U'34%
17%
All 4 algs
35%
32%
U17%
All 4 algs
U242%
39%
U219%
37%
17%
U211%
42%
U'39%
19%
100%
81%
U'19%
U252%
48%
54%
U'34%
U211%
U'42%
U'39%
U219%
28%
14%
U'13%
All 5 algs
U54%
34%
U211%
61%
U'39%
60%
16%
U214%
All 4 algs
U31%
16%
U14%
All 5 algs
U42%
U29%
U213%
All 5 algs
U'29%
U'15%
All 4 algs
U52%
U48%
42%
U'39%
U19%
42%
39%
U19%
41%
38%
21%
U237%
34%
U17%
All 4 algs
U61%
39%
100%
55%
27%
18%
100%
U-FH
U'36%
U26%
U'14%
All 4 algs
U49%
U234%
17%
U281%
19%
U'45%
U32%
U216%
All 4 algs
50%
U'32%
U11%
All 4 algs
U228%
U'26%
U14%
All 6 algs
U42%
U'39%
U219%
U'46%
U245%
10%
34%
U211%
42%
U'32%
16%
All 4 algs
U249%
U'34%
17%
U231%
U29%
U16%
All 5 algs
U250%
U32%
U'11%
All 4 algs
U260%
16%
U'14%
All 4 algs
50%
U11%
All 3 algs
U'37%
U34%
U217%
All 4 algs
54%
U234%
U11%
41%
U229%
16%
All 4 algs
U234%
U232%
U'16%
All 5 algs
42%
U'39%
19%
U243%
U27%
21%
All 4 algs
U234%
U'32%
16%
All 5 algs
29%
U28%
All 3 algs
31%
29%
U225%
All 4 algs
U'37%
34%
U211%
U42%
U239%
19%
U'37%
34%
U217%
29%
27%
15%
All 4 algs
U'37%
34%
U'11%
29%
U27%
U'24%
All 5 algs
29%
U'27%
15%
All 6 algs
37%
U234%
U'17%
All 4 algs
34%
32%
U211%
U237%
U234%
17%
All 4 algs
U242%
U'32%
16%
All 4 algs
42%
39%
U19%
42%
39%
U19%
52%
48%
42%
39%
U219%
37%
U'34%
U67%
U233%
100%
67%
33%
T-FH
U29%
U'15%
U'13%
All 4 algs
U35%
32%
17%
All 4 algs
81%
U'19%
U56%
15%
U213%
All 5 algs
U55%
U'27%
U218%
41%
U'38%
U221%
U29%
U228%
U27%
All 5 algs
U'35%
17%
16%
U252%
U48%
U'60%
U16%
14%
All 4 algs
U29%
15%
U213%
All 5 algs
U229%
27%
U'15%
All 6 algs
U246%
U29%
U16%
All 4 algs
U'34%
32%
U16%
All 5 algs
31%
U29%
U214%
All 4 algs
31%
U230%
U29%
All 4 algs
29%
U'27%
15%
All 6 algs
37%
U34%
U243%
15%
U'28%
U'14%
U213%
All 5 algs
34%
U232%
U'16%
All 5 algs
31%
29%
16%
All 4 algs
37%
34%
31%
29%
16%
54%
U'34%
U211%
37%
U234%
17%
All 4 algs
U'43%
U227%
U'15%
All 5 algs
U'34%
U'32%
16%
All 5 algs
U271%
11%
46%
U'45%
U10%
43%
U'27%
15%
All 4 algs
36%
U27%
15%
All 5 algs
79%
U21%
79%
21%
34%
32%
U16%
All 5 algs
67%
33%
U42%
39%
U19%
79%
21%
34%
U232%
All 3 algs
U237%
U34%
U217%
All 4 algs
U100%
67%
33%
100%