A Square Inscribed by Hand

The Prompt

Draw a simple closed curve on paper — not a circle or an ellipse, but something irregular. Then, using a compass and straightedge (or careful measurement), find four points on the curve that form a square. Verify the square by measuring the four side lengths and the two diagonals. Record the curve, the four points, and the measurements.

Completion Criteria

The drawn curve, the four marked points, the measured side lengths and diagonals (confirming the square within reasonable precision), and a brief note on the method used.

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