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

Symmetry Worksheet

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Contents

The Seven Frieze Patterns: IUC Notation

#1: p111

is generated by a repeated horizontal translation.

Image:p111b.jpg

#2: p1m1

is generated by a repeated horizontal translation of a figure with horizontal symmetry.

Image:p1m1g.jpg


#3: pm11

is generated by a repeated horizontal translation of a figure with vertical symmetry.

Image:pm11g.jpg




Exercise

Identify the following frieze patterns using the IUC notation.

1. Image:faces.gif from nrich.

2. Image:pmm2.gif from nrich.

3. Image:P1m1.jpg from Bryan Clair.

4. Image:p1a1.gif from nrich.

5. Image:p112.gif from nrich.

6. Image:p1m12.gif from nrich.

7. Image:p111b.gif from nrich.

8. Image:P112b.jpg from Bryan Clair.

9. Image:Pma2.jpg from Bryan Clair.

10. Image:pm11.gif from nrich.

11. Image:pmm2b.png from Maori Rafter Patterns.