⬡Petr ProgramAN INTERACTIVE GEOMETRY LAB
Why does it work?

Each step joins the tips of isosceles triangles built on the previous polygon’s edges. After n − 2 steps, the final polygon is regular—or collapses to a point.

Explore the mathematics (Petr-Douglas-Neumann Theorem) ↗
VISIBLE LAYERS
Final polygon color
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Drag points to experiment