Horned Croissant

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A curiosity in the topological spaces, the Alexander Horned Sphere is formed by pushing out two horns from a sphere, twisting the horns together, pushing out two more horns from each horn, twisting the new horns, pushing out more horns, ad infinitum. Here is a monster that is topologically the same as a sphere, although its space outside is not topologically equivalent to that of a sphere.

Could it be some sort of Martian brocolli, or weird sponge in the sea? Or an Alexander Horned Croissant would be nice for breakfast, would it not?

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