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Gavin Harper is a mathematician working right at the heart of genetics

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March 2010
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tessellation

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Bill Casselman writes about the intriguing amateur mathematician Henry Perigal, who took his elegant proof of Pythagoras' Theorem literally to his grave - by having it carved on his tombstone.

Tags: history of mathematics : Henry Perigal : pythagoras' theorem : dissection proof : cut-and-shift proof : congruence : tessellation : Pythagoras tiling : lattice tiling


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Many people find no beauty and pleasure in maths - but, as Lewis Dartnell explains, our brains have evolved to take pleasure in rhythm, structure and pattern. Since these topics are fundamentally mathematical, it should be no surprise that mathematical methods can illuminate our aesthetic sense.

Tags: mathematics and art : fractal : minimal surface : tessellation : escher : golden ratio : geometric patterns : geometric abstraction : origami : regular polyhedron : anamorphis


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This pattern with kite-shaped tiles can be extended to cover any area, but however big we make it, the pattern never repeats itself. Alison Boyle investigates aperiodic tilings, which have had unexpected applications in describing new crystal structures.

Tags: tessellation : periodic tiling : aperiodic tiling : quasiperiodicity : quasicrystal : penrose tiling : escher


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Will we ever be able to make computers that think and feel? If not, why not? And what has all this got to do with tiles? Plus talks to Sir Roger Penrose about all this and more.

Tags: tessellation : aperiodic tiling : Grand Unified Theory : quantum mechanics : Turing test : artificial intelligence : complex number : human consciousness : non-algorithmic thought : non-recursive mathematics


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Science writer and exhibition researcher Alison Boyle tells Plus about her work creating up-to-the-minute news exhibits at the Science Museum in London.

Tags: astronomy : Science journalism : tessellation : physics : Hubble Telescope : science museum