Repeating the same move sequence on a Rubik's Cube does not steadily increase disorder — it eventually brings the cube back to its solved state. The number of repetitions needed to return to the start is called the order of the sequence. A computer program written in QBASIC tracks the cube's average variegation (degree of disorder) after each repetition. When you graph the results, the data points fit a 4th-degree polynomial equation, suggesting that larger orders produce higher-degree polynomials. What looks like random scrambling at each step turns out to follow a predictable mathematical pattern — one that further testing could confirm holds across all sequences.

Repeat the same set of moves on a Rubik’s Cube and something unexpected happens: the cube scrambles, then gradually works its way back to solved. When you write a QBASIC program to track average variegation — the degree of disorder — after each repetition, the data points don’t scatter randomly. They trace a curve that fits a 4th-degree polynomial equation, a pattern built entirely from adding and multiplying. Larger sequence orders appear to produce higher-degree polynomials, suggesting the relationship between repetition and disorder follows a consistent mathematical structure.