Tuesday, July 05, 2016

[nbpqtzeu] Two linked tori with no gap

Consider a torus with tube diameter equal to the hole diameter, so outer diameter 3 times the hole diameter.  Can 2 such tori link, rotated 90 degrees from each other, each through the hole of the other?

Or do the surfaces intersect by just a little bit?  If so, what ratio of hole to outer diameter does allow the tori to interlink?  Alternatively, what cross section, not a circle, turned into a surface of revolution allows linking with no gap and no overlap?

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