Section 6 · Iteration & Expression

Permutation

Definition

Systematic recombination — reordering or reconfiguring a fixed set of elements according to a rule, working through possible arrangements rather than choosing among them intuitively.

Why it matters

Permutation surfaces results you would not have chosen. Following the system past the point of comfort is how you find the arrangement your taste would have rejected.

Example

Taking three elements and generating every arrangement of position, rotation, and overlap rather than stopping at the ones that look good.

Teaching note

The rule has to be followed even when it produces bad results — that is the lesson. Students who quietly skip the unappealing combinations have converted a systematic method back into an intuitive one.