Casey Mongoven
I created this visualization curious of what kind of results I could achieve by mapping the values of various signature sequences (see http://mathworld.wolfram.com/SignatureSequence.html) under moduli to a matrix of pixels. Any given signature sequence requires an irrational base. I chose to use the square roots of prime numbers as they form an interesting natural sequence of irrational numbers. I expected the resulting visualization to be noisy, but suspected that some interesting patterns might emerge in the noise. The results confirmed my expectations. I found it surprising that bands occur across the columns when values of multiple signature sequences momentarily correspond. In the time domain, each column is fractal due to the nature of signature sequences: if we remove the first instance of each column value, that column remains the same. A more detailed description of the technical details of the visualization can be found at:
https://www.youtube.com/watch?v=14ddiexprJE