This begs to be done on a shrinking Riemann sphere! Rather than having the band around the sphere where points are removed, you can do it using a singularity at the north pole, where they smoothly condense and shrink to nothing.
@@FalkBay the x and y coordinates of the number a+bi are 2a/(1+a²+b²) and 2b/(1+a²+b²). Just plug these two to the sphere formula to get the third. To zoom in, simply multiply all points by a constant, and only then project.
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This begs to be done on a shrinking Riemann sphere! Rather than having the band around the sphere where points are removed, you can do it using a singularity at the north pole, where they smoothly condense and shrink to nothing.
Thanks for your advice, I'll have a look at the formulas to see if I'm able to implement it.
@@FalkBay the x and y coordinates of the number a+bi are 2a/(1+a²+b²) and 2b/(1+a²+b²). Just plug these two to the sphere formula to get the third. To zoom in, simply multiply all points by a constant, and only then project.
this is so fuckin cool
I'm glad you like it, thanks 😊.