three-color rotational symmetry

I found it rather difficult to add three-color symmetry to rotational symmetry and had to do the theory of the post “color symmetry upon rotation“. Then, programming was quite easy.  In the end we combine a periodic or quasi-periodic anamorphic image with a mask that switches between the different color variants. This makes it difficult to make interesting images.

For periodic images with three- or six-fold rotational symmetry I use sums of several wave packages to get nontrivial color symmetry. This is an example:

For quasi-periodic images a single wave package gives already an interesting color switching pattern. This is an example with 12-fold rotational symmetry:

The center of perfect 12-fold rotational symmetry lies at the lower left corner. See how it has quasi-periodically repeated approximate copies.

This entry was posted in Anamorphosis, Kaleidoscopes, Quasiperiodic design, Tilings and tagged , , , , . Bookmark the permalink.

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.