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How can I use Mathematica to plot the 3D figures like the following one enter image description here

and its generalizations to gluing multiple tubes in a nice way. The lines and labels on the tubes are irrelevant.

If it is possible, I also want to know how to draw the figures that cut the tubes such as the following one enter image description here

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  • $\begingroup$ related: math/hole in a hole in a hole $\endgroup$ – Kuba Jun 9 '17 at 9:28
  • $\begingroup$ As per the linked math.se question, this really is about parametrizing surfaces and does indeed not belong here. But I suggest we don't rush to migrate it to math.se, but simply close this one; the OP can then ask how to parametrize these surfaces over on math.se him/herself and can come back with questions about MMA code here later if s/he runs into problems. $\endgroup$ – LLlAMnYP Jun 20 '17 at 10:21

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