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