These images are created by running line automata. Each pixel line
depends on it's predecessor according to a simple rule. It could be
written as the APL expression X<-LUT[(_1 #phi X)+X+1 #phi X]. Here
'#phi' is a shift operator on a vector, and LUT is a lookup table. The
starting value of X maybe a random selection of values, or a seed with
just a single non zero value in the middle.
All the images were first created in Linux X-bitmap format, then
converted to .gif with the public domain program DISPLAY189. The LUT
values are printed at the top of each image in hexadecimal. A blank
usually means -1. All of these images were generated in full colour on
the screen. If you have WINDOWS or LINUX then you can see many more of
these images. The code that produced these images has been enhanced
to drive a web browser and show a continuous display of such images.
Get an appropriate program
and run it. On WINDOWS start up the application by selecting
Wolfram 1-Dimensional life.
Linux is more complicated. First you need to compile the
application. There is an ascii version in the application in the file
"delta.d4f". This can be run in an X-window with a 1x1 font as a cheap
way of getting a graphic output.