CUBELAB — Polyhedral Twist Puzzle Solver

TEMPO1×

0/0

ƒ>

PAINT

CUBELAB — field manual

Controls

Drag anywhere on the cube — sticker or body — to twist that layer. The LAYERS keyboard has a paired button for every move: the plain button turns clockwise, the gold ' button turns counter-clockwise. Hold Shift while clicking either to flip its direction.
Drag empty space (left) or right-drag anywhere — tumble the whole cube freely. View smoothly re-squares the orientation; Reset restores the solved state with a twirl and keeps your viewing angle.
Scroll / pinch — zoom (kept across puzzles). Paint — click or hold-and-brush across stickers; the cube holds still while you paint.
Undo / Redo — buttons or Ctrl+Z / Ctrl+Y.
Keys: space play/pause · ←→ step · S scramble · P paint.

Solver

Moves always refer to the cube's own faces, so a solution is correct at any orientation. For 2×2 the solver is provably optimal; for hand-twists and painted states it searches for the shortest solution it can find. For a deep scramble or long formula on 3×3 and up, the shortest guaranteed answer is the simplified inverse of the move log — already close to optimal length and written in plain face notation.

Notation — cubes

R U F L B D turn the outer layer; ' = counter-clockwise; 2 = 180°. A lowercase letter turns the two outermost layers on that side (a double-layer turn) — so r is the same as Rw. 3Rw turns three layers (4×4 and up). M E S are the single middle slices. Type without spaces: RrUR'.

Notation — 2×2×3 tower

U D turn 90°; tall faces F B L R turn 180° only (no wide turns exist on the tower).