Spirals of Triangles, Hexagons, Circles and Spheres

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Start the construction with a single triangle placed on one side of an -sided regular polygon. Then arrange a series of triangles along a logarithmic spiral while each triangle is reduced (or increased) and rotated consecutively by an angle . Then place the spirals side by side. Triangles of the same size are located on -sided polygons forming rings. The triangles can be augmented to fill the gaps, thus forming hexagons. The triangles may be replaced with spheres and circles.

Contributed by: Sándor Kabai (February 2020)
Open content licensed under CC BY-NC-SA



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