quasicrystal
http://plus.maths.org/content/taxonomy/term/434
enRotation revolution
http://plus.maths.org/content/rotation-revolution
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<p>The laws of symmetry are unforgiving, but a team of researchers from the US have come up with a pattern-producing technique that seems to cheat them. The new technique is called <em>moiré nanolithography</em> and the researchers hope that it will find useful applications in the production of solar panels and many other optical devices.</p>
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<div class="rightimage" style="width: 201px;"><img src="http://plus.maths.org/content/sites/plus.maths.org/files/blog/092012/square.gif" alt="Square tiling" width="201" height="202" />
<p>A tiling made up of squares.</p><p><a href="http://plus.maths.org/content/rotation-revolution" target="_blank">read more</a></p>http://plus.maths.org/content/rotation-revolution#commentsmathematical realityaperiodic tilingquasicrystalquasiperiodicityrotationsymmetrytranslationTue, 25 Sep 2012 13:12:06 +0000mf3445783 at http://plus.maths.org/contentShattering crystal symmetries
http://plus.maths.org/content/shattering-crystal-symmetries
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<p>In 1982 Dan Shechtman discovered a crystal that would revolutionise chemistry. He has just been awarded the 2011 Nobel Prize in Chemistry for his discovery — but has the Nobel committee missed out a chance to honour a mathematician for his role in this revolution as well?</p>
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Imagine you are looking at a crystal. Zoom down to the structure of atoms. Most of us would picture an ordered lattice filled with repeating blocks of atoms. So did chemists – that is until 1982 when Dan Shechtman looked through his electron microscope and saw that his crystal had an impossible structure with forbidden symmetries. His discovery shattered scientific consensus in crystallography and has now earned him the 2011 Nobel Prize in Chemistry.
</p><p><a href="http://plus.maths.org/content/shattering-crystal-symmetries" target="_blank">read more</a></p>http://plus.maths.org/content/shattering-crystal-symmetries#commentsmathematical realitychemistrygroup theoryNobel prizepenrose tilingquasicrystalThu, 13 Oct 2011 14:07:21 +0000Rachel5571 at http://plus.maths.org/contentFrom quasicrystals to Kleenex
http://plus.maths.org/content/quasicrystals-kleenex
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Alison Boyle </div>
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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. <b>Alison Boyle</b> investigates aperiodic tilings, which have had unexpected applications in describing new crystal structures. </div>
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<p>The motto of the Nasrid kings who built the Alhambra of Granada was "God is the only victor". Allah is all-powerful: the Qur'an forbids the depiction of living beings in religious art lest it be seen as a blasphemous attempt to rival the creative powers of God. To avoid this, artists created intricate patterns to symbolise the wonders of creation. The repetitive nature of these complex
geometric designs suggests the infinite power of God.</p><p><a href="http://plus.maths.org/content/quasicrystals-kleenex" target="_blank">read more</a></p>http://plus.maths.org/content/quasicrystals-kleenex#comments16aperiodic tilingescherpenrose tilingperiodic tilingquasicrystalquasiperiodicitytessellationFri, 01 Dec 2000 00:00:00 +0000plusadmin2188 at http://plus.maths.org/content