(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. | ||||||||||||||

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