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Wallpaper Symmetries CS 39 Carlo H. Séquin

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Presentation on theme: "Wallpaper Symmetries CS 39 Carlo H. Séquin"— Presentation transcript:

1 Wallpaper Symmetries CS 39 Carlo H. Séquin
Florida 1999 CS 39 Wallpaper Symmetries Carlo H. Séquin EECS Computer Science Division University of California, Berkeley A chose a very mathematical title …

2 Wallpaper Symmetries Worksheet

3 Take One Pattern at a Time . . .
Find rotation centers, mirror lines, glide axes

4 Take One Pattern at a Time . . .
Pure Rotation: 3 Mirror Line Kaleidoscope Point: 3 >> Symm.: 3*3 Find all unique rotation centers, mirror lines, glide axes

5 Different Kaleidoscope Points
Count different ones individually!

6 3 Different Kaleidoscope Points
Symmetry: *442

7 Take One Pattern at a Time . . .
Find rotation centers, mirror lines, glide axes

8 Take One Pattern at a Time . . .
Pure Rotation: 2 Pure Rotation: 2 Glide Axis >> Symm.: 22X Find all unique rotation centers, mirror lines, glide axes

9 Take One Pattern at a Time . . .
Find rotation centers, mirror lines, glide axes

10 Take One Pattern at a Time . . .
Mirror Line Glide Axis >> Symm.: *X Find all unique rotation centers, mirror lines, glide axes

11 Different Glide Axes ? Find rotation centers, mirror lines, glide axes

12 Two Different Glide Axes
Glide Axis Glide Axis >> Symm.: XX Find all unique rotation centers, mirror lines, glide axes

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