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Notes on Shapes of Polyhedra

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arxiv 1506.07252 v1 pith:OWEW2AOX submitted 2015-06-24 math.GT

Richard Evan Schwartz This is my paper · ORCID
classification math.GT
keywords notescoursepolyhedrashapesarxivbeautifulclassdecided
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These are course notes I wrote for my Fall 2013 graduate topics course on geometric structures, taught at ICERM. The notes rework many of proofs in William P. Thurston's beautiful but hard-to-understand paper, "Shapes of Polyhedra". A number of people, both in and out of the class, found these notes very useful and so I decided to put them on the arXiv.

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  1. Triangulations of the Sphere

    math.MG 2026-06 unverdicted novelty 1.0 of 10

    Baez outlines Thurston's results constructing triangulations of the sphere via Eisenstein integers and shows the moduli space of associated flat metrics is open and dense in an orbifold defined by a quadratic form on C^10.

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