Symmetry and Ornament
Periodic tiling and interlocking mosaics
- Ornament theory
- History of decoration
- From quintic equation to symmetry
- Symmetry in nature & design
- Symmetry of rotation
- Rosettes
- Cyclic and dihedral groups
- Symmetry of translation
- Frieze groups
- Colour symmetry
- Periodic tiling of the plane
- Regular isomorph mosaics
- Wallpaper groups
- Escher tiles
- Semiregular and polymorph mosaics
- Islamic patterns
Resources
- Transformations and Symmetry (World of Mathematics)
- Tessellation Patterns - From Mathematics to Art
- Math and the Art of M. C. Escher (Anneke Bart & Bryan Clair)
- Symmetry, Reality’s Riddle (Marcus du Sautoy)
- Finding Moonshine: A Mathematician's Journey Through Symmetry (Marcus du Sautoy)
- The Free Book of Symmetry Notation (Jabra Ghneim)
- Algorithmic ornament. Mostly. (Regolo Bizzi)
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Assignment
Escher tiling
EscherSketch –
Escher Web Sketch –
Escherizace –
Fractal Backgrounds –
Kaleidomania –
Kaleidoskop –
KaleidoTile –
MosaicGen –
Mospaint –
Ornament –
Random Quilts –
Tess –
Tessellation Kit –
TesselManiac!
Gallery of Escher tiling »
Syllabus
- 01 Towards Computer Art
- 02 Software Aesthetics
- 03 History of Computer Art
- 04 Aesthetic Functions
- 05 Aesthetic Transformations
- 06 Aesthetic Proportions
- 07 Complex Systems and Graftals
- 08 Geometric Fractals
- 09 Algebraic Fractals
- 10 Chaotic Fractals
- 11 Symmetry and Ornament
- 12 Nonperiodic Tiling
- 13 Specialized Tiling
- 14 Decorative Knots
- 15 Mathematical Sculpture
- 16 Bio Art
- 17 Exact Aesthetics
- 18 Vision and Depiction
- 19 Colour and Composition
- 20 Nonphotorealistic Rendering
