Surfacets of toruses

Discussion of shapes with curves and holes in various dimensions.

Surfacets of toruses

Postby lllllllllwith10ls » Sun Mar 10, 2019 9:51 pm

I was wondering, what would it be like to live on a 4d-torus? Is there any way to wrap a cube so that it becomes a spheretorus, torisphere, tiger, torinder, or ditorus?
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Re: Surfacets of toruses

Postby ICN5D » Wed Apr 10, 2019 11:47 pm

A cube can only fold up into a tiger or ditorus. The others fold up from something else. Inside the 3-D surface, you would see self repeating copies of yourself along all 3 axes (like an infinite cubic lattice), but spaced apart at different lengths. It would be impossible to tell if you're on a tiger or ditorus judging by the surface alone, except for the ditorus having 3 unequal diameters (repeat intervals inside surface). But you could scale a tiger to look similar, just to confuse everyone even more.
in search of combinatorial objects of finite extent
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