I can’t figure out the ratios between increasingly complicated shapes

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https://i.redd.it/znjjib1d2j971.jpg These figures are mere circles divided into multiples of 2, where every single corner links to another. And as you can see, it very quickly falls into the realm of the incalculable. But there doesn’t seem to be any clear pattern in the growth of the inner workings. The total number of lines go from 8 to 136 to 3,104, the total number of faces go from 8 to 88 to 1,712, and the total number of vertices go from 5 to 57 to 1,377. I can’t figure out what the formula is for finding out what the next steps would be.

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Spader113

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Posted: 3 years ago
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