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.