Date	Class Topics
1/21	Course introduction.
1/23	The Pythagorean Theorem; the geometry of angles in polygons.
1/26	Proportion; In particular, Vitruvian man and height vs. arm span.
1/28	The Divine Proportion (Golden Ratio).
1/30	The Divine Proportion (Golden Ratio); Quiz 1 (on skills from Assignment 1).
2/2	The Fibonacci numbers and their occurrence in nature.
2/4	Group activity on finding patterns among the Fibonacci numbers and Lucan numbers.
2/6	CLASS CANCELLED.
2/9	Flatland, and the concept of dimension.
2/11	Cross sections of objects, "terminal points and sides" argument from Flatland.
2/13	Covering and embedding dimension; Quiz 2 on Fibonacci numbers and golden ratio.
2/16	Geometric constructions of line, square, cube, hypercube, and counting of vertices, edges, etc.
2/18	Dimension 0: Pointillism and color systems.
2/20	Rigid motions in the plane; symmetries of frieze patterns.
2/23	Group activity on classifying frieze patterns by symmetry type.
2/25	The crystallographic/wallpaper patterns, and the artwork of M.C. Escher; Quiz 3 on dimension.
2/27	Group activity on classifying wallpaper patterns by symmetry type.
3/1	Aperiodic tilings, and Penrose's kites & darts.
3/3	Origami tesselations and modular origami; Quiz 4 on symmetries of frieze/wallpaper patterns.
3/5	Origami - building a dodecahedron from the PHIZZ units, with a 3-edge coloring; other constructions.
3/8 - 3/12	NO CLASS: Spring Break
3/15	Introduction to fractals; computing fractal dimension.
3/17	Group activity: generating fractals, and computing fractal dimension.
3/19	Group activity on fractals, continued.
3/22	NO CLASS: Prof. Frechette will be away at a conference.
3/24	NO CLASS: Prof. Frechette will be away at a conference.
3/26	The Mandelbrot set; the Mandelbrot sequence of a seed point.
3/29	Periodic, escaping, and attracted points; the Julia set.
3/31	Examples of fractals in art. Quiz on fractals.
4/2	Window-taping activity in Hogan.
4/5	Introduction to perspective; examples of early perspective works in art.
4/7	CLASS CANCELLED.
4/9 - 4/12	NO CLASS: Easter Break.
4/14	The geometry behind perspective; orthogonals and vanishing points.
4/16	More on the geometry behind perspective.
4/19	Drawing in one-point perspective.
4/21	Group discussion: origins and development of perspective in art.
4/23	Vanishing points and viewing distance. Course projects due.
4/26	Quiz on perspective drawing. Presentations of course projects.
4/28	Presentations of course projects.
4/30	Presentations of course projects.
5/3	Presentations of course projects.
5/5	Presentations of course projects.