Why Every Fold Has a Name

Every crease pattern begins with radial lines from the central node — each one a commitment that constrains all subsequent folds.

Interleaved with mountain lines, valley creases convert two-dimensional geometry into three-dimensional form without ambiguity.

Paper edge is not decoration — it is the geometric limit that validates or invalidates every fold sequence in the pattern.

Kawasaki's theorem ensures alternating angle sums equal 180° at every interior vertex — the pattern either folds flat or it does not exist.