COLL Algorithms

Every algorithm for all 40 last-layer corner cases, ranked by how often top solvers actually use them.

What makes this database different

Ranked by real solves

Ordered by what top solvers actually use, not by popularity votes.

Pro usage counts reconstructed solves that used an algorithm as COLL - the corners left permuted, only the edges remaining. The same algorithm turns up in plenty of solves that just oriented the corners and went on to a normal PLL; those are not COLL solves, so they are not counted here. Alongside it sits each algorithm's community vote count from SpeedCubeDB.

A history graph traces each algorithm's popularity over time - the share of that year's solves that used it, rising as it catches on or fading as cubers move to something faster.

A grip bar asks a different question of the same solves: how many were done one-handed. One hand rewards regrip-light, rotationless algorithms, so a fat pink slice means the algorithm suits one hand better than the two-handed mainstream picks it. Its header switches the whole table between both grips, two-handed only and one-handed only.

One-handed
Two-handed baseline

One row per algorithm

The same algorithm written in different ways collapses into one row.

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.

Grouped into triggers

Every algorithm is boxed into the triggers your hands already know.

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'URU2R'

One trigger, whole: the Sune, not seven loose turns - and on its own it is a COLL.

U' RU2R'U'RU'R'

The Anti-Sune behind an AUF: the turn that sets the hold, then one trigger.

UF URU'R' URU'R' URU'R' F'

A long conjugate: set up with F, three Righties, undo - shaded deepest inside the frame.

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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