Spring 2011
(Last modified: Thursday, April 28, 2011, 3:18 PM )
| This syllabus is subject to change! | ||||||||||||||
| Monday | Wednesday | Friday | ||||||||||||
| 1/24 | 1/26 | Welcome to Math in Art | 1/28 | Who uses a System of | ||||||||||
| Review Ratio and Proportion | Proportion and Why? | |||||||||||||
| What is a System of Proportion? | Examples of Systems of Proportion | |||||||||||||
| 1/31 | The Sacred Cut in the | 2/2 | Developing Standards for Judgment | 2/4 | More on the Garden Houses of Ostia | |||||||||
| Garden Houses of Ostia | Application of Standards to Some Ancient Examples | Common Beliefs about the Golden Ratio | ||||||||||||
| PS 0, PS 1 (both individual) due | The Mean and Extreme Ratio | |||||||||||||
| 2/7 | More on the Garden Houses of Ostia | 2/9 | The Mean and Extreme Ratio | 2/11 | Golden Ratio in the Ancient World? | |||||||||
| Common Beliefs about the Golden Ratio | From Euclid to the Golden Ratio | Pi and Phi in the Great Pyramid | ||||||||||||
| In Class Work on Mean and Extreme Ratio | ||||||||||||||
| PS 2 (group) due | Project 2 due | |||||||||||||
| 2/14 | Similar Figures | 2/16 | More on similarity | 2/18 | Ancient Greek questions on gnomons | |||||||||
| Gnomons | From gnomons to the Golden Rectangle | |||||||||||||
| PS 3 (individual) due | The Golden Rectangle in Art | |||||||||||||
| 2/21 | Q & A for Exam 1 | 2/23 | Exam 1 | 2/25 | The Golden Rectangle in Art | |||||||||
| (covers thru PS 4, | Gnomonic Growth | |||||||||||||
| should be done for Tuesday) | Intro to Fibonacci numbers | |||||||||||||
| 2/28 | Fibonacci numbers | 3/2 | Intro to 3 dimensional space | 3/4 | Optical ideas behind perspective | |||||||||
| Fibonacci Numbers and Phi | Plotting in 3d | Connecting perspective to 3d plotting | ||||||||||||
| Setting the stage for perspective | Distance in 3d | Developing formulae for perspective images | ||||||||||||
| PS 5 (individual) due | Project 3 due | |||||||||||||
| 3/7 | Using formulae for perspective images | 3/9 | Perspective: observations and conclusions | 3/11 | Vanishing points | |||||||||
| Vanishing points | ||||||||||||||
| PS 6 (group) due | Project 4 due | |||||||||||||
| 3/14 | 3/16 | 3/18 | ||||||||||||
| Spring Break | ||||||||||||||
| 3/21 | Finding correct viewing position | 3/23 | Rules of perspepctive | 3/25 | Duplicating rectangles in perspective | |||||||||
| Subdividing rectangles in perspective | Developing more perspective techniques | |||||||||||||
| PS 7 (individual) due | ||||||||||||||
| Projects 5 and 6 due | ||||||||||||||
| 3/28 | Q & A for Exam 2 | 3/30 | Exam 2 | 4/1 | Anamorphic Art | |||||||||
| (covers thru PS 8, | ||||||||||||||
| should be done for Tuesday) | ||||||||||||||
| 4/4 | Wrapping up some tricky perspective questions | 4/6 | Intro to Fractals; the Koch snowflake & recursion | 4/8 | The chaos game | |||||||||
| The Sierpinski gasket & recursion | Symmetry of scale | |||||||||||||
| Similarity dimension | ||||||||||||||
| PS 9 (group) due | Project 8 due | |||||||||||||
| 4/11 | Similarity dimension of | 4/13 | The Mandelbrot Set | 4/15 | More on fractals & the Mandelbrot set | |||||||||
| Koch snowflake & Sierpinski gasket | ||||||||||||||
| Intro to Complex numbers | ||||||||||||||
| PS 10 (individual) due | Project 7 due | |||||||||||||
| 4/18 | Examples of fractals in art | 4/20 | 4/22 | Thinking about 4 dimensions | ||||||||||
| Patterns in 0D, 1D, 2D, 3D | "Cubes" in 0, 1, 2, 3 and 4 dimensions | |||||||||||||
| Brief history: popularization of the 4th dimension | ||||||||||||||
| PS 11 (group) due | Projects 9 and 1 due | |||||||||||||
| 4/25 | Q & A for Exam 3 | 4/27 | Exam 3 | 4/29 | Flatland - The Movie | |||||||||
| (Covers through PS 12, | More on "cubes" in 0, 1, 2, 3, and 4 dimensions | |||||||||||||
| should be done for Tuesday) | ||||||||||||||
| 5/2 | Visualizing the Hypercube | 5/4 | More on visualizing the hypercube | 5/6 | Overview of non-Euclidean geometry | |||||||||
| The 4th dimension in art | Mini-art show in class | |||||||||||||
| Transition to non-Euclidean geometry | Evaluations | |||||||||||||
| PS 13 (individual) due | ||||||||||||||
| Projecst 10, 11 and 12 due | ||||||||||||||
| The final will be Thursday, May 12, from 9am-12pm. | ||||||||||||||
Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 101A
Norton, Massachusetts 02766-0930
TEL (508) 286-3973
FAX (508) 285-8278
jsklensk@wheatonma.edu