Spheres are 2-dimensional not 3-dimensional sorry your grade school teacher lied to you
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I have a recurring argument with the gf about this (she's a grade school teacher) and she refuses to believe me and this cartoon is my life
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is it 2-d because the sphere is defined by the surface so it's like a 2-d manifold?
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Yes exactly. On the surface there are only 2 independent directions you can move.
End of conversation
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