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March 28th, 2017, 10:02 PM   #1
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Toroidal limit

A given "torus" is made from a given circle rotated around a point on its circumference and inscribing maximum volume. What is its genus?

Last edited by Loren; March 28th, 2017 at 10:06 PM.
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March 29th, 2017, 09:59 AM   #2
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That is, a torus with a singularity as a hole.
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April 24th, 2017, 06:10 PM   #3
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Anyone want to hazard a guess at the question about the genus of a toroid with a singular hole?
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April 26th, 2017, 08:22 AM   #4
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I'll hazard a guess. Genus 1. No tearing required.
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