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Careers with maths
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Rupa Patel reflects to Plus on her work as a financial engineer

A favourite from the archive...
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When we finally meet the Martians, John Conway believes they are going to want to talk mathematics.

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March 2008
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spherical geometry

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Tags: curvature : trigonometry : Escher : Euclidean geometry : Euclid's elements : flatness : spherical geometry : hyperbolic geometry : Mercator projection : curvature of space


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Squares do it, triangles do it, even hexagons do it — but pentagons don't. They just won't fit together to tile a flat surface. So are there any tilings based on fiveness? Craig Kaplan takes us through the five-fold tiling problem and uncovers some interesting designs in the process.

Tags: tiling : geometry : Euclidean geometry : spherical geometry : hyperbolic geometry : symmetry : five-fold tiling problem