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5x5 last two edges & centres Algorithms

Every algorithm for all 31 endgame 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.

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.

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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'
The centre insert: a wide turn carries the built bar up, over, and back down.
RUR' FR'F'R
The edge swapper from the last-two-edges tables, unchanged from a 3x3 grip.
rU2r'
The same wide shape a 4x4 uses - a bigger cube changes which layers turn, not the hands.

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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5x5 last two edges & centres Overview

most-recommended algorithms for every case

Last two edges
100%
All 1 algs
86%
14%
All 2 algs
67%
26%
All 3 algs
100%
All 1 algs
100%
All 1 algs
22%
19%
15%
All 8 algs
70%
30%
All 2 algs
73%
16%
11%
All 3 algs
39%
36%
15%
All 4 algs
100%
All 1 algs
77%
23%
All 2 algs
100%
All 1 algs
73%
27%
All 2 algs
Last two centres
10%
All 5 algs
22%
U2 18%
10%
All 6 algs
87%
13%
All 2 algs
87%
13%
All 2 algs
U 74%
26%
All 2 algs
U' 23%
All 1 algs
100%
All 1 algs
87%
13%
All 2 algs
100%
All 1 algs
U 33%
29%
U 19%
All 5 algs
74%
U 26%
All 2 algs
100%
All 1 algs
78%
U2 23%
All 2 algs
58%
11%
All 2 algs
100%
All 1 algs
44%
24%
All 4 algs