Difference between revisions of "Wallpaper Patterns"

From EscherMath
Jump to navigationJump to search
Line 12: Line 12:
 
==The Seventeen Wallpaper Groups==
 
==The Seventeen Wallpaper Groups==
 
{{unfinished}}
 
{{unfinished}}
 +
 +
==Exercises==
 +
 
==Related Sites==
 
==Related Sites==
 
* [http://www.oswego.edu/~baloglou/103/seventeen.html Proof of the 17 wallpaper group classification] by George Baloglou.
 
* [http://www.oswego.edu/~baloglou/103/seventeen.html Proof of the 17 wallpaper group classification] by George Baloglou.

Revision as of 02:40, 31 January 2007

Wallpaper catalog of Remondini - Bassano - Italy, 18th century

Relevant examples from Escher's work:

  • Escher's sketches of Polya's 17 wallpaper patterns. Visions of Symmetry, pg. 24-26.

Wallpaper Patterns

Construction.png This section is unfinished.

A wallpaper pattern is a plane figure which has more than one direction of translation symmetry. Most actual wallpaper fits the bill, because it must repeat left to right in order to hang in strips, and it must repeat vertically so that multiple strips can be cut from the same roll.

The lattice of translations.

The Seventeen Wallpaper Groups

Construction.png This section is unfinished.

Exercises

Related Sites