1. Maths Week 2010 Symmetry & Art From http://mathmuse.sci.ibaraki.ac.jp/urabe/http://mathmuse.sci.ibaraki.ac.jp/urabe/

2. Yakata-Mon = Big House Pattern (Ise shrine) Translational symmetry without rotations

3. Ariso-Donsu = Wild Rocky-beach Weaving 180 ° rotational symmetry (without 60 ° or 90 ° )

4. Sayagata = Silk-textile Pattern 90 ° rotational symmetry

5. Bisyamon-Kikko = Buddhist-god Tortoise-shell 120 ° rotational symmetry (without 60 ° )

6. Asanoha = Hemp Leaf 60 ° rotational symmetry

7. Maths Week 2010 Symmetry & Art From http://web.inter.nl.net/hcc/Hans.Kuiper/http://web.inter.nl.net/hcc/Hans.Kuiper/

8. Bottles and Glasses Translational symmetry without rotations

9. Kiss 180 ° rotational symmetry (without 60 ° or 90 ° )

10. Islamic Art: Alhambra VI 90 ° rotational symmetry

11. P3M1 120 ° rotational symmetry (without 60 ° )

12. Archimedes 10 th regular pattern 60 ° rotational symmetry

13. Maths Week 2010 Symmetry & Art From http://en.wikipedia.org/wiki/Wallpaper_grouphttp://en.wikipedia.org/wiki/Wallpaper_group

14. Tomb at Biban el-Moluk, Egypt Translational symmetry without rotations

15. Ceiling of Egyptian tomb 180 ° rotational symmetry (without 60 ° or 90 ° )

16. Egyptian mummy case 90 ° rotational symmetry

17. Street pavement, Zakopane, Poland 120 ° rotational symmetry (without 60 ° )

18. Byzantine pavement, Rome, Italy 60 ° rotational symmetry