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Concurrent Congruent Circles

Inspired by a gif from math-ani. Johnson's Theorem is about the circumcircle for the triangle formed by the non-common intersection points. I thought the rhombi were a neat way of showing it. Thinking about how to animate the circles to show it was interesting, too. I made a constant ratio between slow, medium and fast (so fast is ratio^2*slow), which made for interesting cycloid-like patterns for the intersection points. Lots of relationships to notice, so hope you have some fun.