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