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        Math 444/487 Geometry Week 10 Monday 12/3 - Friday 12/7 | 
   
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          Week 12/10-14 | 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. | 
   
    | Wednesday 12/5 444   | 
   
    | 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.  | 
   
    | 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. |