March 28th, 2017, 10:02 PM  #1 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 363 Thanks: 26 Math Focus: Number theory  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. 
March 29th, 2017, 09:59 AM  #2 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 363 Thanks: 26 Math Focus: Number theory 
That is, a torus with a singularity as a hole.

April 24th, 2017, 06:10 PM  #3 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 363 Thanks: 26 Math Focus: Number theory 
Anyone want to hazard a guess at the question about the genus of a toroid with a singular hole?

April 26th, 2017, 08:22 AM  #4 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,814 Thanks: 1046 Math Focus: Elementary mathematics and beyond 
I'll hazard a guess. Genus 1. No tearing required.


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limit, toroidal 
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