Cellular automata art

in #art • 6 years ago (edited)

As I have explored the Cellular Automata phenomenon (see previous posts), I have tried to quantify the variability of their outputs, their periodicity via graphs. Some of these have turned out to be quite aesthetically pleasing in addition to elucidating the richness of CA versatility.

See for yourself!

phase space (init cond - 1) no chart bkg.png

This is a phase space diagram - it maps transitions from some state mapped at time t to time t+1.

phase space (init cond - 43)bw.png

This is also a phase space diagram but with much fewer phase states and fewer transitions. Amazingly, it is quite possible for the same CA to generate both of the above graphs - the variability arising purely from different initial conditions.

A few more to drive the point home - all of these were from a single CA (same rules) but with different initial conditions.

phase space (init cond - 57) no chart bkg.png

(initial condition bitmask: 57)

phase space (init cond-109).png

(initial condition bitmask: 109)

The one below is "Rule 90" CA - the short version and then a few variations - projections onto a torus and a sphere.

rule90.png

Torus.png

Sphere.png

rule90-big.png

Finally, rule 30 CA:

Rule 30.png

#math #cellular #automata
6 years ago in #art by
$0.00
    3 votes
    Reply 1
    Sort:  
  • Trending
    • [-]
     6 years ago 

    Congratulations @derza! You have completed some achievement on Steemit and have been rewarded with new badge(s) :

    Award for the number of posts published

    Click on any badge to view your Board of Honor.

    To support your work, I also upvoted your post!
    For more information about SteemitBoard, click here

    If you no longer want to receive notifications, reply to this comment with the word STOP

    Do not miss the last announcement from @steemitboard!

    Do you like SteemitBoard's project? Vote for its witness and get one more award!

    $0.00
      Reply