Snake on a Sphere

I had this idea of concentric spheres where you have to clear the outer shells to go deeper into the next level. I thought about some puzzle ideas, like Tetris, Lumines, or Yars' Revenge but none of them seemed to work in 3D. And then I thought about the old game Snake and I thought ... maybe, maybe this might work. So here's the start of Snake on a Sphere:

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