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The visual effects in Harry Potter and Sweeney Todd

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June 2009
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Penrose tiling

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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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Mathematicians offer new proof of quasicrystals' strange electronic properties.

Tags: geometry : aperiodic tiling : Penrose tiling : physics : crystallography : Schrödinger equation