I assume the 'grunginess' is a big part of what makes it work, but I'm also curious.
Isolate each of the additive sine functions by commenting out all but one and view the different elements. Sine wave left to right, Sine wave up to down, Sine wave diagonal, Sine wave circular - and then observe the resulting pattern is just the sum of the atomic parts. Play with it to learn.
I would say most interesting texts (articles, books, school, ...) should leave stuff up to the reader's mind to figure out. That's how someone really learns. Versus pre-baked stuff like television etc.
If something does not resonate at first that's pretty normal. You could still take it apart and start investigating words or concepts that ring no bell, for example: waves, interference, demoscene, owls, Feynman.
Enjoy! ;)
Otherwise quite hard to visualize changes in you head.