Spirals of Triangles, Hexagons, Circles and Spheres

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.