The Alhambra Palace and The Geometric Ornamentation

اء �َح�ْم�َر� اْل

The Court of The Lions

The tilework from Alhambra (Translational Symmetry)

Mirror Reflections

Glide reflection

The line of reflection (labeled g) is located half-way between the vertical mirrors(labeled m)

Keeps pattern's appearance unchanged

Half-turn rotations(center A)

Quarter-turn rotation(center B)

Third-turn (360/3=120 degrees)

Rotational Symmetries

Half-turn (360/2=180degrees)

Rotational Symmetries

Quarter-turn (360/4=90degrees)

Rotational Symmetries

Sources :

• www.catnaps.org/islamic/geometry.html

• www.catnaps.org/islamic/geometry2.html

• www.moroccanmotifs.com/yahoo_site_admin/assets/docs/ALHAMBRATILING.257182758.pdf

• humis.utah.edu/humis/docs/organization_948_1160423370.pdf