Maths Week 2010 Symmetry & Art From

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Transcript of Maths Week 2010 Symmetry & Art From

  • Slide 1
  • Maths Week 2010 Symmetry & Art From http://mathmuse.sci.ibaraki.ac.jp/urabe/http://mathmuse.sci.ibaraki.ac.jp/urabe/
  • Slide 2
  • Yakata-Mon = Big House Pattern (Ise shrine) Translational symmetry without rotations
  • Slide 3
  • Ariso-Donsu = Wild Rocky-beach Weaving 180 rotational symmetry (without 60 or 90 )
  • Slide 4
  • Sayagata = Silk-textile Pattern 90 rotational symmetry
  • Slide 5
  • Bisyamon-Kikko = Buddhist-god Tortoise-shell 120 rotational symmetry (without 60 )
  • Slide 6
  • Asanoha = Hemp Leaf 60 rotational symmetry
  • Slide 7
  • Maths Week 2010 Symmetry & Art From http://web.inter.nl.net/hcc/Hans.Kuiper/http://web.inter.nl.net/hcc/Hans.Kuiper/
  • Slide 8
  • Bottles and Glasses Translational symmetry without rotations
  • Slide 9
  • Kiss 180 rotational symmetry (without 60 or 90 )
  • Slide 10
  • Islamic Art: Alhambra VI 90 rotational symmetry
  • Slide 11
  • P3M1 120 rotational symmetry (without 60 )
  • Slide 12
  • Archimedes 10 th regular pattern 60 rotational symmetry
  • Slide 13
  • Maths Week 2010 Symmetry & Art From http://en.wikipedia.org/wiki/Wallpaper_grouphttp://en.wikipedia.org/wiki/Wallpaper_group
  • Slide 14
  • Tomb at Biban el-Moluk, Egypt Translational symmetry without rotations
  • Slide 15
  • Ceiling of Egyptian tomb 180 rotational symmetry (without 60 or 90 )
  • Slide 16
  • Egyptian mummy case 90 rotational symmetry
  • Slide 17
  • Street pavement, Zakopane, Poland 120 rotational symmetry (without 60 )
  • Slide 18
  • Byzantine pavement, Rome, Italy 60 rotational symmetry