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8:36 PM
Since the question has been bumped by a new answer, it was an oportunity to get rid of one occurrence of the deprecate tag: Conformal structure does not see conical singularities. I chose which seems to be closest to . But any further improvements to the choice of tags are more than welcome.
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Q: Conformal structure does not see conical singularities

Joseph O'Rourke the conformal structure does not see the conical singularities of a polyhedral surface. This is a quote from the Preface of Quantum Triangulations (eds.: Carfora, Marzuoli). The sentiment is attributed to Marc Troyanov, in a 1991 Trans. AMS paper, "Prescribing Curvature on Compact Surfaces ...

Since the question has been bumped, I have replaced the deprecated (geometry) tag by another tag. If for some reason my choice of the tags does not fit the question, please do edit the tags further. — Martin Sleziak yesterday
 

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