manifold

Video Tech Blog #76: transition theory and weaves

Had an interesting revelation over the weekend: thus far all the work I've done on the concept of transition theory (hard and soft transitions) has been restricted to 2D epi and hypertrochoid shapes. While playing with a mixed transition CAP pattern over the weekend, I suddenly realized I could repeat the pattern without altering its character by switching to the plane behind me. Technically, such a transition means going to an ET relative to wheel plane, but it behaves like an IT due to conservation of angular momentum.

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