Symmetry, Tesselations, and Escher Prints
UW MATH DAY March 22, 2010 Julia Pevtsova

Algebra is nothing but written geometry;	L'algèbre n'est qu'une géométrie écrite;
Geometry is nothing but pictured algebra.	la géométrie n'est qu'une algèbre figurée.
	Sophie Germain

Title Page
Four Plane symmetries
Creating wallpaper patterns: FRIES; GHOSTS
More Wallpaper (tessellations) examples
Samples of ALL 17 Wallpaper groups (Crystallographic groups) with names: Birds; Geometric shapes
How to identify wallpaper patterns: hints and clues.
Escher’s symmetry prints from M.C. Escher Official website
Other symmetry resources:
Japanese Wallpaper patterns
Alhambra symmetry patterns (controversial issue: are all 17 patterns there?! Check for yourself when you go to Granada)
Penrose tilings (aperiodic divisions of the plane with 5-fold symmetry)
- Wang Tiles
- Kite and Dart
- Moving Star and Star and Sun patterns
- And a Batman!
- More "Penrose tilings"
- And a movie
- Deflation
- Reference: Martin Gardner, Extraordinary nonperiodic tiling that enriches the theory of tiles, Mathematical Games, Scientific American, January, 1977.

Symmetry, Tesselations, and Escher Prints