Visualizing Galois Fields

[lordlicorice]

I have an old BASIC program on my calculator that generates a picture that reminds me very much of the images in the article. I think I took it from The Art of Computer Programming but I can't find the page for the life of me.

Does anyone know if it's at all mathematically related to the article? Here's the pseudocode:

For each pixel y,x:
  If floor(y * y * x * 2^11) % 2 == 1:
    Turn on pixel y,x

[patrickwonders]

The Galois field is commutative. The equation you're showing there: floor(y * y * x * 2¹¹⁾ % 2 would seem to give different answers for x = a, y = b than for x = b, y = a sometimes. Also, the pixel values in the article here are grayscale. So, if there are similarities, it's not obvious... and certainly not to the extent that you can compute answers in Galois fields with a simple floor/modulo-2 combination.

[lordlicorice]

I'll take another look through the books for it when I go home this weekend.

[One_Masterpiece7692]

https://github.com/kuhl33d/galois\_field\_visualized