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Comment by generationP

2 days ago

Nope, but this post is such a neat illustration of the richness of "life" that fits into 39 real parameters (each circle can be coordinatized as 3 real numbers: one for its radius and two for its center) that my first thought on seeing it was also "no surprise then that a matrix with a million entries can talk like an erudite person".

And all of those are simply translation and scaling of 36 parameters with an implicit unit circle at the origin.

Then if you want to factor out rotations, drop another parameter and say the 1st explicit circle lies on the x axis.

Wouldn't you also need a two parameters for the arc starting position and stopping position for each circle, and then a few more to identify the areas that need to be filled, along with the color?

  • Once you've drawn the circles, I think you just need to specify which regions are filled.

    Arcs are just intersection of circles, so they are implicit, as far as I can tell.