Miura: Paper Fold Puzzle

A sheet of paper with marks on it. Tap a crease and the whole sheet folds along that line — every layer at once — and the board you were looking at is suddenly smaller. Two cells become one, and half the creases you were considering no longer exist.

Marks come in twins. The board is done when every twin has landed on its partner, and a mark may never come to rest on a stranger, so a fold that looks tidy can still be the wrong one.

Nothing else here changes the shape of its own board. In a sliding puzzle the frame stays put and the pieces move; in this origami puzzle the frame is the thing that moves, which is why a board four folds in looks nothing like where it started.

Every board is generated and then solved before it ships, so the "best" you are chasing is a real number rather than a guess. No timer, no way to lose, and it all works offline.