Separate surviving edges from new edges
Compare the target with the starting square. An outer edge that remains in exactly the same position may survive without moving. An edge sitting inside the square usually needs an explanation: a crease might form it, or a reflected original edge might land there. Mark that distinction mentally before choosing a gesture.
You cannot reliably count the required folds by counting target edges. Several original boundaries can overlap after folding, and later folds can hide earlier ones. A five-sided target does not automatically require five folds. Instead, ask which single fold could create one of its most distinctive boundaries.
Find the midpoint between a point and its destination
A flat fold reflects a point across the crease. The crease is therefore the perpendicular bisector of the segment connecting that point to its destination. For a left-to-right move, imagine the starting point and landing point as the ends of a short bridge. The vertical line at the bridge’s midpoint is the fold.
Suppose the board uses coordinates from zero to one. Moving the point at horizontal position 1 to position 0.5 requires a vertical crease at 0.75. Moving it all the way to zero requires a crease at 0.5. These are different folds even though both gestures move left. Distance matters as much as direction.
Read diagonal boundaries through their corners
A diagonal target can seem harder because the eye tends to focus on the whole slanted shape. Pick one corner instead. Decide where that corner began and whether a supported diagonal reflection could place it on the target. Then check a second corner. A plausible move must explain both, not just one attractive edge.
For example, a diagonal fold across the center of a square can move one corner onto its opposite corner and leave a triangular footprint. That example teaches the relationship between diagonal direction and reflected points; it is not a universal answer for every triangular target. The target’s size and exact location still matter.
Think about the last fold
When a target has one unusually clear straight boundary, try thinking backward. Imagine opening the final fold across that boundary. What larger footprint might exist just before it? If that imagined footprint is a simple rectangle or triangle you know how to make, you have a possible route into a multi-step puzzle.
Backward reasoning is a planning tool, not permission to unfold the game’s paper arbitrarily. A candidate earlier shape must be reachable from the original square with the allowed folds. Try to connect the backward idea to an actual forward sequence, checking each step with the board rather than trusting the silhouette alone.
Keep track of orientation and location
Two paper footprints can have identical proportions and still fail to match because one is rotated or translated. Use fixed board guides as reference points. After each move, compare a stable corner with the target. This is often faster than trying to judge the alignment of every edge at once.
Fold order also changes the result. Folding a corner inward and then folding across the middle can move that corner again. Reversing those two operations may produce a different outline because the second crease acts on different layers. If your planned edges are correct but the final location is wrong, examine the order.
Turn observations into a testable plan
Before dragging, say what you expect to happen in one sentence: “This fold should remove the excess on the right and keep the top-left corner fixed.” That prediction gives you a clear way to evaluate the result. If the top-left corner moves, you have learned that you selected the wrong side or line.
Practice makes these relationships familiar. Choose a target, work out one boundary, and test the smallest useful move. Use Undo to compare alternatives. Over time, you will recognize common combinations of straight and diagonal folds while still checking the particular board in front of you. Recognition is helpful; careful positioning makes it work.