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Orbit Cube
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A 3x3x3 with four circles on each face. These rotate with each turn in the same direction.

This is a 3x3x3 with little circles on its faces, which are part of a planetary gear system centered around a stationary sun gear hidden inside the center piece. The "void" center serves both an aesthetic and functional purpose: not only does it show off part of the hidden gear mechanism, but it also makes it easier to tension and loosen the puzzle when inevitable gear misalignments happen.
This puzzle is conceptually similar to Gelatinbrain 3.12.4. The main difference is, on that puzzle the circles rotate in the opposite direction of face turns - it wouldn't actually be any harder to design it that way, but would require a slightly more complex gearing mechanism that would not be feasible to FDM print at a reasonable size. However, the inventor's main inspiration was Tim Selkirk's Button Cube.
As stickered like in the images the puzzle has 511280600571403325302622991085648875939520834293392893767141571489826671051187159040000000=511E87 permutations.
If the segments were distinguishable the puzzle would have 21446028643138827055822904331292101572163885046609021791102315422983434719440663740364743251532835278043372601928485179104933129837606417916231680000000000000000000000000=21E168 permutations.
In that case the permutations of the segments have to be even.
Edge length: 72 mm
Weight: 202 grams

A mass produced version "Gear Orbit" surfaced in 2023. See images 5-7.
Weight 150: grams

In 2023 two slightly different variants hit the market:
In "Bandaged-2" eight sets of pieces are bandaged into half circles. See images 8-9.
In "Bandaged-4" sixteen sets are bandaged in the same way. See images 10-11.

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