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