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math.GT1999
Napoleon in isolation
Danny Calegari
Napoleon's theorem in elementary geometry describes how certain linear operations on plane polygons of arbitrary shape always produce regular polygons. More generally, certain tria…
math.GT1999★ 44 cited
The Geometry of R-covered foliations
Danny Calegari
We study R-covered foliations of 3-manifolds from the point of view of their transverse geometry. For an R-covered foliation in an atoroidal 3-manifold M, we show that M-tilde can…