Spring '05
(Last modified: Friday, January 21, 2005, 2:21 PM )
| Monday | Wednesday | Other | ||
| 1/24 | 1/26 | Intro to Math in Art | ||
| Review Ratio and Proportion | ||||
| What is a system of Proportion? | ||||
| 1/31 | Who uses systems of proportion, and why? | 2/2 | Developing standards for judgment | |
| Vitruvian Man, Harmonic Systems of Proportion, the | application of standards to Garden Houses at Ostia. | |||
| Modulor, The Sacred Cut in Roman Architecture | PS 0, PS 1 due | |||
| 2/7 | Common beliefs about the Golden Ratio | 2/9 | In Class Work on the Mean and Extreme Ratio | 2/11 |
| The Mean and Extreme Ratio; how Euclid's definition | Sketch of how we know the Golden Ratio is irrational | Project | ||
| leads to the Golden Ratio | Pi and Phi in the Great Pyramid | 2 due | ||
| PS 2 due | ||||
| 2/14 | Pi and Phi in the Great Pyramid | 2/16 | Exam 1 | |
| Similar figures | (will cover PS 3, which will be due Tuesday at 2:30) | |||
| Q & A for Exam 1, Project 1 (proportion) due | ||||
| 2/21 | Greek puzzles--gnomons | 2/23 | From gnomons to the Golden Rectangle | |
| Ancient Greek questions relating to gnomons | The Golden Rectangle in Art | |||
| Gnomonic growth; Fibonacci numbers and Phi | ||||
| PS 4 due | ||||
| 2/28 | Setting the stage for perspective | 3/2 | More practice plotting points in 3D | 3/4 |
| Intro to 3 dimensional space | Distance in 3 dimensions | Project | ||
| Plotting in 3 dimensions | PS 5 due | 3 due | ||
| 3/7 | Optical ideas behind perspective | 3/9 | Vanishing Points | 3/11 |
| Connecting perspective to plotting in 3D | Intro to finding the correct viewing position | Project | ||
| Developing formula for perspective images | PS 6 due | 4 due | ||
| 3/14 | Spring Break | 3/16 | Spring Break | |
| 3/21 | Finding the correct viewing position | 3/23 | Exam 2 | |
| Q & A for Exam 2 | (will cover PS 7, which will be due Tuesday at 2:30) | |||
| 3/28 | Rules of perspective | 3/30 | More on other perspective techniques | 4/1 |
| Subdividing and duplicating rectangles in perspective | The spread of perspective | Project | ||
| More perspective techniques | Intro to anamorphic art | 5 due | ||
| PS 8 due | ||||
| 4/4 | Creating anamorphic art | 4/6 | Looking for patterns | 4/8 |
| Brief history of popularization of the 4th dimension | Developing the hypercube | Project | ||
| in the early 20th century; from Flatland to 3D to 4D | Visualizing the hypercube | 6 due | ||
| PS 9 due | ||||
| 4/11 | Continuing to visualize the hypercube | 4/13 | Introduction to elliptic and hyperbolic space | 4/15 |
| The 4th dimension in art | Focusing deeper elliptic space | Project | ||
| PS 10 due | 7 due | |||
| 4/18 | Lines in elliptic space | 4/20 | Exam 3 | 4/22 |
| Lines in hyperbolic space | (will cover PS 11, which will be due Tuesday at 2:30) | Project | ||
| Q & A for Exam 3 | 8 due | |||
| 4/25 | The Poincare disk model of Hyperbolic space | 4/27 | Recursion | 4/29 |
| Non-Euclidean geometry in art | The Sierpinski gasket | Projects | ||
| Intro to fractals and symmetry of scale | Fractional dimension | 1,9,10 | ||
| The Koch snowflake | Symmetry of scale | due | ||
| PS 12 due | ||||
| 5/2 | The chaos game | 5/4 | Practicing with the Mandelbrot set | 5/5 |
| The Mandelbrot set | Examples of Fractals in Art | Setting up | ||
| Complex numbers | Evaluations | artshow | ||
| PS 13 due, Projects 11,12 due | ||||
| 5/9 | 2:00pm Final | |||
| If you are available between 10:30 and 11:30 on the morning of Thursday May 5th, come help me set up | ||||
| an art show to display those projects which best display the mathematical ideas you've learned. | ||||
Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 109
Norton, Massachusetts 02766-0930
TEL (508) 286-3973
FAX (508) 286-8278
jsklensk@wheatonma.edu