3 ms·

There’s not really a reasonable continuous analog, IMO (unless you just want to see a single solid blob, like in your picture, but that hides all of the interes

There’s not really a reasonable continuous analog, IMO (unless you just want to see a single solid blob, like in your picture, but that hides all of the interesting part of the structure). But there are moiré-like patterns. Check out https://www.youtube.com/watch?v=qhbuKbxJsk8 https://www.youtube.com/watch?v=qhbuKbxJsk8 for some insight based on a related type of diagram (related to a single row at a time from the OP’s diagrams).

dahart 9y ago
That was awesome thanks for sharing. For the first minute I wasn't expecting much, but the reflections part was so cool! Plus, this connects directly to the cyclic curves in the complex plane, e.g., https://mathlesstraveled.com/2015/06/04/random-cyclic-curves-5/ https://mathlesstraveled.com/2015/06/04/random-cyclic-curves... The curves formed by the envelope of intersecting lines in the circular multiplication table are a slice of cyclic curve space. I animated this after reading the above blog post: https://youtu.be/myGXoLCnx-A https://youtu.be/myGXoLCnx-A You can see some of the curves in the lower left corner are the same ones from Mathologer.