maths week 2010 symmetry & art from //mathmuse.sci.ibaraki.ac.jp/urabe
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![Page 1: Maths Week 2010 Symmetry & Art From //mathmuse.sci.ibaraki.ac.jp/urabe](https://reader030.vdocuments.net/reader030/viewer/2022032800/56649d385503460f94a112c0/html5/thumbnails/1.jpg)
Maths Week 2010
Symmetry & Art
From http://mathmuse.sci.ibaraki.ac.jp/urabe/
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Yakata-Mon = Big House Pattern (Ise shrine)
Translational symmetry without rotations
![Page 3: Maths Week 2010 Symmetry & Art From //mathmuse.sci.ibaraki.ac.jp/urabe](https://reader030.vdocuments.net/reader030/viewer/2022032800/56649d385503460f94a112c0/html5/thumbnails/3.jpg)
Ariso-Donsu = Wild Rocky-beach Weaving
180° rotational symmetry (without 60° or 90°)
![Page 4: Maths Week 2010 Symmetry & Art From //mathmuse.sci.ibaraki.ac.jp/urabe](https://reader030.vdocuments.net/reader030/viewer/2022032800/56649d385503460f94a112c0/html5/thumbnails/4.jpg)
Sayagata = Silk-textile Pattern
90° rotational symmetry
![Page 5: Maths Week 2010 Symmetry & Art From //mathmuse.sci.ibaraki.ac.jp/urabe](https://reader030.vdocuments.net/reader030/viewer/2022032800/56649d385503460f94a112c0/html5/thumbnails/5.jpg)
Bisyamon-Kikko = Buddhist-god Tortoise-shell
120° rotational symmetry (without 60°)
![Page 6: Maths Week 2010 Symmetry & Art From //mathmuse.sci.ibaraki.ac.jp/urabe](https://reader030.vdocuments.net/reader030/viewer/2022032800/56649d385503460f94a112c0/html5/thumbnails/6.jpg)
Asanoha = Hemp Leaf
60° rotational symmetry
![Page 7: Maths Week 2010 Symmetry & Art From //mathmuse.sci.ibaraki.ac.jp/urabe](https://reader030.vdocuments.net/reader030/viewer/2022032800/56649d385503460f94a112c0/html5/thumbnails/7.jpg)
Maths Week 2010
Symmetry & Art
From http://web.inter.nl.net/hcc/Hans.Kuiper/
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Bottles and Glasses
Translational symmetry without rotations
![Page 9: Maths Week 2010 Symmetry & Art From //mathmuse.sci.ibaraki.ac.jp/urabe](https://reader030.vdocuments.net/reader030/viewer/2022032800/56649d385503460f94a112c0/html5/thumbnails/9.jpg)
Kiss
180° rotational symmetry (without 60° or 90°)
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Islamic Art: Alhambra VI
90° rotational symmetry
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P3M1
120° rotational symmetry (without 60°)
![Page 12: Maths Week 2010 Symmetry & Art From //mathmuse.sci.ibaraki.ac.jp/urabe](https://reader030.vdocuments.net/reader030/viewer/2022032800/56649d385503460f94a112c0/html5/thumbnails/12.jpg)
Archimedes 10th regular pattern
60° rotational symmetry
![Page 13: Maths Week 2010 Symmetry & Art From //mathmuse.sci.ibaraki.ac.jp/urabe](https://reader030.vdocuments.net/reader030/viewer/2022032800/56649d385503460f94a112c0/html5/thumbnails/13.jpg)
Maths Week 2010
Symmetry & Art
From http://en.wikipedia.org/wiki/Wallpaper_group
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Tomb at Biban el-Moluk, Egypt
Translational symmetry without rotations
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Ceiling of Egyptian tomb
180° rotational symmetry (without 60° or 90°)
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Egyptian mummy case
90° rotational symmetry
![Page 17: Maths Week 2010 Symmetry & Art From //mathmuse.sci.ibaraki.ac.jp/urabe](https://reader030.vdocuments.net/reader030/viewer/2022032800/56649d385503460f94a112c0/html5/thumbnails/17.jpg)
Street pavement, Zakopane, Poland
120° rotational symmetry (without 60°)
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Byzantine pavement, Rome, Italy
60° rotational symmetry