Math 444/487 Geometry Week 10

Monday 12/3 - Friday 12/7

    444 Home Page

  1. Week 10/01-05

  2. Week 10/08-12

  3. Week 10/15-19

  4. Week 10/22-26

  5. Week 10/29-11/2

  6. Week 11/05-09

  7. Week 11/12-16

  8. Week 11/19-23

  9. Week 11/26-30

  10. Week 12/03-07

  11. 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.