Home › Mark's Projects › Simple recursive systems and fractal patterns › Simplest 2-D block replacement L-systems

Four symbol cyclic system

Mon, 2007-07-30 20:09 — Mark Dow

A four symbol 2-D cyclic system:
a -> [ a b; b c ], b -> [ b c; c d ], c -> [ c d; d a ], d -> [ d a ; a b ]

(right click for full image, animation below)

 

This is a color cycling of the four shades of gray: 

‹ Diagonal 2x2 4-symbol systemsupFour symbol Serpinski gaskets ›

Comments

Sun, 2007-08-05 09:49 — PSR

motion

I think its interesting that the motion, when I squint at this, shows a lower frequency repetition of the diagonal x-pattern that is not evident in the static image. 

 

Mark I hope things find you well since I have not heard from you in a few days. 

Sun, 2007-08-05 13:13 — Anonymous

low frequency phase wave

Yes, I like that too. There's no apparent way to make the low frequency more prominent, besides squinting (low spatial frequency filter). It would be cool to do this on a larger scale, maybe a stadium Jumbotron.

When I get some time I'll modify the code to do more rules (limited to 4 currently), which will allow analogous patterns with more frames, more spatial frequencies involved.

I'm fine, was visiting my parents in Walnut Creek with the kids for a few days. A hot drive with no air conditioning, found several nice places to swim along the Smith River and along Hwy 101. 

Post new comment

Security question, designed to stop automated spam bots
add Gallery2 images