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How to find the genus (number of "handles") of a closed surface?

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Hello,

I would like to know if there is a way to determine the genus (number of “handles or holes”) of a closed surface by scripting?

That would be used to find if there was a problem with text engraving punching holes through thin parts of my closed 3D surface. My original closed surface is topologically equivalent to a sphere and punching holes in it would make it equivalent to a torus (genus 1) or higher degree genus surface (see images above).

Regards,

Bruno

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