The image is created by coloring the two pixels on the border next to the origin (bottom-left corner) with an initial color (represented by an integer in the range 0 to 15), and the origin with another color. The program then chooses a color for other pixels by using a color function on the color values of the three neighboring pixels that have already been colored.
The color function is:
pixel(i,j) = [⌊(pixel(i-1,j-1) + pixel(i,j-1) + pixel(i-1,j))/3⌋
+ shift*pixel(i-1,j-1)] mod 16
where shift is an integer between 0 and 15 and ⌊x⌋ truncates any fractional part of x.
You will need to have a java runtime system installed on your computer for this to run.
Download the file VisualizingInduction.jar (right-click and save). Double-click on the file (or in a cmd or terminal window type java -jar VisualizingInduction.jar).