| Assnm't | Source | Chapter and pages | Comments and other things |
| 1 | Flatland Devlin |
Introduction, Preface, and Part I.
Prologue, pp. 1-7. |
(Activity and assignments on Flatland will follow next week.) |
| 2 | Flatland Pedoe |
Part II. Preface and Chapter 1 (in part), Vitruvius, pp. 11-31. |
Bring two congruent equilateral triangles to next class. |
| 3 | Devlin
Pedoe |
pp. 144-150 (Symmetry Groups); pp. 165-169 (Tiling). pp. 258 (middle) - 261 (symmetry). |
Symmetry Day: Bring to class an example of a natural or synthetic physical object that has a non- trivial group of symmetries together with your description of those symmetries. You may bring either the physical object itself or a sketch of the object. |
| 4 | Devlin Pedoe |
pp. 153-157 (lattices and sphere packing); pp. 163-164 (wallpaper patterns) pp. 44-46 middle; 66-69 middle. (regular polygons) |
Tessellation Day: Wear to class clothing that has a tiling pattern on it. |
| 5 | Devlin
Pedoe |
pp. 112-115
pp.165-170; pp. 261-263 |
(Euclid-inscribed angles in semicircles, Platonic solids, Plato, and
Kepler) (tiling) (Platonic solids) (Introduction to Topology) (On Handout.) |
| 6 | Devlin Pedoe Barr |
pp. 174 - 175; 176 - 178 pp. 265 - 267 pp. 10 - 23 |
(Topology, Networks, and Euler's formula) (Semi-regular solids) (Euler's formula, the torus) |
| 7 | Devlin Barr Pedoe |
pp. 188-189 pp. 117-119,120 (first column only) pp. 23-31 pp.108-119; pp. 173-177 pp. 273-284 |
(The Four Color Problem) (Cartesian coordinates) ( The Moebius strip, orientability, and dimension.) (Map Coloring.) (Cartesian coordinates) Flatland; the Fourth dimension introduced. |
| 8 | Devlin Barr Pedoe |
pp. 138-141 pp. 31-39 pp. 273-284 |
Dimension New Surfaces- the Klein Bottle Flatland; the Fourth dimension introduced.(repreated) |
| 9 | Devlin
|
pp. 179-182; pp. 182-186, 187(1st paragraph.) pp. 62 - 72 pp. 78 - 84 |
(The Moebius strip, orientability) (Surfaces) More about the Klein Bottle Intro to Cross Caps and the Projective Plane |
| 10 | Devlin
Barr |
p. 7. Box...
p.193-197 1st column. pp. 136-148 |
(When to See Is to Understand)
( A side trip to look at knots-a beginning only)
(Turning a punctured torus inside - out) |
| 11 | Devlin Pedoe Barr A&S |
pp. 74-79 pp. 82-85 pp. 102-107 pp. 44 - 58 (Optional)pp. 149-161 pp 1-3 |
(Zeno's Paradoxes and the infinite.) The Infinite Scale and proportion Durer and perspective drawing (Continuity and Discreteness) (Beginning to discuss configurations) |
| 12 | Devlin
Pedoe A&S |
p. 129 - 133
pp. 44 - 58 Sections 3 and 6. |
(Projective Geometry)
(Durer and perspective drawing) (Projection and Ideal elements) |
| 13 | Devlin
Pedoe A&S |
p. 114-115; p. 115-119
p. 134-138 p. 58-65; p. 173-184 Section 11. |
(Kepler's Planetary Theory) (Conics and cartesian geometry)
(Continuation of Projective geometry) (Durer, conics and perspective drawing cont'd.) (Cartesian & Projective geometry-Desargue again) (Desargue's Theorem) |
| 14 | Devlin Pedoe |
pp. 106-109; pp. 122-129 pp.184-192 |
(Euclid's Axioms) (Non-Euclidean Geometries)
(Drawing & projective geometry) |