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mike  ·  3841 days ago  ·  link  ·    ·  parent  ·  post: Mid-2014 Hubski Sticker Vote Thread  ·  x 2

Inspired by veen, here is a fractal hubski animation. I know it would have to be a tricky sticker to animate.

This has recursion level 4:

And here's one with recursion level 6:

Each group of 8 "satellites" has a total area equal to its "planet". The initial orbital distance of the first ring of 8 satellites varies in this animation (in the Hubski logo, they are spaced one satellite diameter away from the planet). Subsequent orbits are of the ratio of sqrt(2)-1, or approximately 0.4142. This makes the satellites of neighbors overlap precisely. I was pleased to find the ratio of sqrt(2)-1. I've done a lot of cool math with sqrt(2)+1, and so this is a new direction to explore!