Day 25
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Math 444, Wednesday, 11/24
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| Sponsor |
Today's class is brought to you by the Frieze
patterns and Wallpaper patterns |
| Topics |
When translations
are symmetries. Combining rotations and mirrors. Examples with p4 centers.
Escher. |
| Class Schedule |
- Composing rotations
- Special rotations (e.g., B180A90 = C270) given special triangles (e.g.,
ABC is an isosceles right triangle).
- Find Patterns of rotation centers in tessellations by equilateral
triangles, squares and regular hexagons.
- Find the same patterns in other wallpaper designs, such as Escher
prints. For example the centers of 90 degree rotation form two interlocking
sets of squares, with 180-degree centers located to form isosceles right
triangles. This
print was analyzed in class.
- See why the patterns are forced by the rules of rotation composition.
- Escher and the geometry of repeating patterns.
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| Assignments |
| New |
Reading Assignment (due Monday 11/29)
Read about Escher and symmetry on the web. Here is a page
of links to information and pictures.
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| Due Today |
None.
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| Ongoing |
Assignment 9 (due Wednesday 11/30)
Lab 9 (optional takehome) due Monday 11/28
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