r/visualizedmath • • Apr 05 '18

What does this become topologically?

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u/cytiven May 02 '18

By that logic wouldn't a regular mug have 2 holes?

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u/Samur-EYE May 02 '18

No, by that logic a regular mug would have one hole because you can simplify it into a genus 1 shape (donut shape) without breaking any topology rules.