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WOLFRAM|DEMONSTRATIONS PROJECT

Spirals of Triangles, Hexagons, Circles and Spheres

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make hexagon
number of rings
5
number of spirals
8
polygon
8
sphere radius
1
circle radius
0.01
Start the construction with a single triangle placed on one side of an
n
-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
2π/n
. Then place the
n
spirals side by side. Triangles of the same size are located on
n
-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.
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