Cubology Lab — Rubik's Cube in (ρ, σ, v, w) notation

Drag a sticker to turn its face or slice · drag the background to rotate the view · scroll or pinch to zoom · keys R L U D F B and M E S twist, x y z rotate the whole cube (hold Shift for inverse) · tap to dismiss

Position vector

ρ= ε
σ= ε
v=
w=

legal configuration

Moves

Sequences read left to right. Inverses: R', R⁻¹ or R^-1; powers: R2, (RU)3, (RU)^-2; commutator [A,B] = ABA⁻¹B⁻¹. Slices: M (follows R), E (follows D), S (follows F); whole-cube rotations x, y, z — these carry the centres with them, so the position vector is read relative to the rotated centre frame.

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Set configuration

fill with current configuration

Display

Cubicle numbers on primary (+) facets — circles for corners 1–8, squares for edges 1–12

Orientation numbers on stickers (0, 1, 2 — clockwise from the primary sticker)

Turn speed

U D F B R L