@@Zenzicubic The first circle (a) is the upper half plane, the circle (b) is centered at 1-i with a radius of 1, the circle (A) is centered at -i/4 with radius 1/4 and the circle (B) is centered at -1-i with a radius of 1.
Is there a reason the color map of the complex domain is the same for both transformations for the rectangular case, but looks different for the polar case?
Man the different iterations of the circles layered on top of each other looked spectacular
There more animations like this in the pipeline.
My God, that's beautiful. Reminds me of the book Indra's Pearls.
Yeah, Indra's Pearl is the source of inspiration.
@@Number_Cruncher I'm actually thinking of programming that. What are the positions and radii of the generator circles you used?
@@Zenzicubic The first circle (a) is the upper half plane, the circle (b) is centered at 1-i with a radius of 1, the circle (A) is centered at -i/4 with radius 1/4 and the circle (B) is centered at -1-i with a radius of 1.
Great vid
Is there a reason the color map of the complex domain is the same for both transformations for the rectangular case, but looks different for the polar case?
The polar grid is centered at the fixed point in either case. This shift changes the colors of the grid.
@@Number_Cruncher Ah ok... I see. Thanks!