Difference between revisions of "Wallpaper Patterns"

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[[Image:test2.svg]]
 
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==Escher's Use of Symmetry==
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Escher's [[Regular Division of the Plane Drawings]] served as source material for his finished printed works.
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The vast majority of these fall into one of seven symmetry groups:
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{{group|p1}}, {{group|p2}}, {{group|p3}}, {{group|p4}}, {{group|p6}}, {{group|pg}}, and {{group|pgg}}.
  
 
==Exercises==
 
==Exercises==

Revision as of 01:48, 5 February 2007

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

Suggested reading:

  • Visions of Symmetry, pg. 31-44, 77-78.

Relevant examples from Escher's work:

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

Wallpaper Patterns

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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.

File:Test1.svg File:Test2.svg File:Test3.svg

Escher's Use of Symmetry

Escher's Regular Division of the Plane Drawings served as source material for his finished printed works. The vast majority of these fall into one of seven symmetry groups: p1, p2, p3, p4, p6, pg, and pgg.

Exercises

Wallpaper Exercises

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