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Math 444/487 Geometry Week 10
Monday 12/3 - Friday 12/7
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444 Home Page
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Week 10/01-05
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Week 10/08-12
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Week 10/15-19
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Week 10/22-26
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Week 10/29-11/2
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Week 11/05-09
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Week 11/12-16
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Week 11/19-23
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Week 11/26-30
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Week 12/03-07
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Week 12/10-14
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Monday 12/3 444
- Assignment due Monday: Read Brown 2.4 and 2.6 and do problems
#1, 2, 3 in 2.4 and #1, 2, 3 in 2.6. Be prepared to do the same or similar
problems in class. This will not be turned in as a written assignment.
- Extra Credit Assignment. Redo the Quiz
2 for homework credit. Everyone needs to do this in whole or in
part.
- Handouts given out included (a) a set of worksheets on kaleidoscopes
or point symmetry (b) a blank multiplication table for the triangle
(c) sheets showing regular tessellations of the plane by triangles,
squares and hexagons. (d) a sheet explaining frieze patterns (not discussed
yet) and (e) the assignment sheet.
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Wednesday 12/5 444
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Wednesday 12/5 487
Other handouts are not on the web (a copy is in the bin outside my office)
- "An Eye for Similarity Transformation" - this is needed
for the lab and also for the assignment.
- Handout on tessellation by 2 square from Wells, Hidden Connections,
Double Meanings. This relates to the homework due today.
These two handouts concern the facts about plane symmetry discussed in
lecture today:
- Notation for one-color Designs and Patterns from Washburn and Crowe,
Symmetries of Culture.
- Two dimensional symmetry from Kinsey and Moore, Symmetry Shape
and Space.
Finally, some links to web sites
about symmetry were emailed to the class listserve.
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Friday 12/7 444
- Assignment on dilations due.
- Discussion of dilations.
- Concept of conjugation presented,
with implications of possible patterns of centers in symmetry groups.
- Hurried discussion of dissections. One page of squares shows how to
cut one big square into two small ones. Another way is shown at this
link.
- Handouts: (1) multipage on generating patterns from 90-degree
rotations (2) one-page on conjugation (2) pages of tessellations by
squares and triangles for homework (3) two pages of tessellations (by
2 squares and by crosses) for dissection homework.
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