Cube Principles

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AN INTERACTIVE EXPLAINER

How a Rubik’s Cube Really Works

Not just how to solve it — why it can be solved.

01 — ANATOMY & NOTATION

Three kinds of pieces

A 3×3 cube looks like 27 little cubes…

The 6 moves

Every turn has a letter…

02 — SOLVING, LAYER BY LAYER

Solve it like a staircase

The beginner’s method builds the cube one layer at a time…

  1. Step 1 · The white cross

    Place the four white edges…

  2. Step 2 · First layer corners

    Drop each white corner into place…

  3. Step 3 · Middle layer

    Send edge pieces down into the middle layer…

  4. Step 4 · The last layer

    Orient then permute the final pieces…

03 — WHY IT WORKS

A cube is a group

Every move is a permutation…

Every move has an inverse

Do R then R′ and nothing changed.

Commutators move just a few pieces

The sequence R U R′ U′ done over and over…

Parity: some states are impossible

You can’t flip a single edge…

04 — THE NUMBERS

Big numbers, small solutions

0 reachable arrangements

That’s about 43 quintillion…

20 God’s Number

From any scramble, solvable in 20 moves or fewer.

0 Symmetries

A cube looks the same from 24 orientations.