Just realized this analogy is basically the same, with the root of the tree being the center of the onion. There could just be multiple onions.

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Onion layers are continuous, branches are discrete. Unless you're talking about some kind of fractal onion tesseract

no i was referring to a riemannian manifold of tasty curvature

a tasty curvy manifold that sounds spicy!

oh yes, it's garlic, that's why!

onions don't fork, that's garlic