Evolution of Rotating Substitution Systems in 3D

view

polygons

cuboids

steps

5

height

0.65

opacity

0.25

x

1

0.75

y

1

0.25

r

1

0.71

θ

1

-0.79

x

2

0.25

y

2

0.75

r

2

0.71

θ

2

0.79

Experiment with rotating substitution systems. The controls sets specify characteristics of two new squares or cubes relative to an old one:

x

-

y

displacements, size ratios

r

, and angles of rotation

θ

. You can see a few steps of the evolution and how structures begin to form.