Math

Patterns from Straight Lines

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Every design on this board is built from straight lines and simple shapes, yet spirals and curves appear.

Turn a square a little and draw it again, over and over, and a spiral emerges. The spiral of Theodorus is built from right triangles whose long sides measure √2, √3, √4, and so on. The Pythagoras tree grows from squares and right triangles.

Pick a pattern and find the one simple step that is repeated to make it.