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Logic & state puzzles · Project entry

Rubik's Cube

A cube represented as sticker state, with every face turn expressed as a repeatable permutation rather than a special-case redraw.

Origin
CodeAbbey · Rodion Gorkovenko
Core ideas
State modeling · permutation maps
Interface
Guarded command-line example
Status
Substantive; lineage review needed

00 · Problem background

A CodeAbbey exercise in tracking cube transformations.

The source problem came from CodeAbbey, whose website owner is identified in the supplied material as Rodion Gorkovenko. It simplified the full cube-solving problem into state tracking: start with nine numbered stickers on the front face, apply a sequence of clockwise face rotations, and report the face on which each sticker finishes.

The supplied notation names the six faces F, B, L, R, U, and D. That compact move alphabet and the numbered front-face layout provided the structure from which the personal sticker-state and permutation model was built.

01 · Problem

A turn changes more than one face.

Rotating a cube face also moves stickers along four neighboring edges. The implementation must preserve every sticker, apply the same transformation consistently, and compose many moves without losing state.

02 · Approach

Treat each move as a permutation.

A

Number the stickers

Give every visible position a stable place in the cube state.

B

Map a face turn

Describe where affected sticker values move during one clockwise rotation.

C

Compose moves

Apply the same state transformation repeatedly to process an entire move sequence.

  • Python
  • standard library
  • state modeling
  • permutation maps
  • sequence processing

03 · Lessons

Transformations are easier to trust when they are data.

  • A stable coordinate system is foundational.Every later rotation depends on unambiguous sticker positions and face orientation.
  • Immutable-style updates clarify movement.Reading from one state and producing the next avoids overwriting a value before it has moved.
  • Inverse and cycle tests are natural checks.Four identical quarter-turns should restore the starting state.

04 · Future demonstration

Let the move map animate itself.

An interactive cube net could animate face turns, show move history, and highlight the sticker cycles created by each permutation.

Verification boundary: the exercise origin is confirmed as CodeAbbey. The relationship among rubiksCube.py and the two larger original/Wilson-named variants still requires documentation, and correctness was not independently tested during inventory.