This PREP workshop was made possible by the NSF grant DUE: 0341481

From Prep08Wiki

When teaching symmetry groups, one needs plenty of examples. Examples can come from art, architecture, culture, science, and plenty of other places. As examples, consider escherwiki:Celtic Art Exploration, escherwiki:Frieze Patterns Exploration, Frieze Patterns in Cast Iron, Seventeen Wallpaper Patterns.

Here are some excellent sources of symmetry patterns, mostly free of copyright. Choose one (or find your own) and develop a worksheet based on it:

• Maori rafter patterns. Two color traditional Maori frieze patterns.
• Artforms of nature. Plates from Ernst Haeckel's Kunstformen der Natur (1904)
• The Grammar of Ornament, by Owen Jones (1856). See also commons:Category:Grammar_of_Ornament.
• Carrelage. Stonework from the Dictionnaire raisonné de l’architecture française du XIe au XVIe siècle, by Eugène Viollet-le-Duc (1856). Or browse the whole book for insipiration.
• Egyptian Wallpaper Patterns. Ceiling decorations of tombs. (Images not free of copyright).
• commons:Image:Remondini_carta_parati.jpg Wallpaper catalog of Remondini - Bassano - Italy, XVIII century.

You can create your worksheet as a page on this wiki, or as a PDF file which you upload to this wiki.

Worksheets

• Blake's worksheet on Cosmati Tile Patterns.
• Heather's worksheet on Maori Frieze Patterns.
• Christine's worksheet on Symmetry and Jellyfish.
• Tami's unfinished attempt at a worksheet on Developing Freize Patterns
• Nancy's worksheet on File:Kolam exploration.pdf
• Christina's worksheet on Ancient Greek Designs
• Debbie's symmetry worksheets
  • File:MATH 110 Mathematical Patterns Activity I.pdf
  • File:MATH 110 Mathematical Patterns Activity II.pdf
  • File:MATH 110 Mathematical Patterns Activity III.pdf
  • File:Japanese Family Crests Activity.pdf
  • File:Maori Rafter Activity.pdf
• Phyllis' worksheet on Maori Patterns
• Maureen's unfinished Frieze Patterns worksheet Frieze Pattern Worksheet