**Syllabus for Math 122: Math in Art**

**Fall 2012**

(Last modified:
Tuesday, November 13, 2012,
10:24 AM )

This syllabus is subject to change! | ||||||||||||||

Monday | Wednesday | Friday | ||||||||||||

8/27 | 8/29 | Welcome to Math in Art | 8/31 | What is a System of Proportion? | ||||||||||

Review Ratio and Proportion | Who uses a System of | |||||||||||||

Proportion and Why? | ||||||||||||||

Examples | ||||||||||||||

9/3 | Labor Day Break | 9/5 | The Sacred Cut | 9/7 | How Close is Close Enough? | |||||||||

Example: Garden Houses of | Developing Standards for | |||||||||||||

Ostia | Judgment | |||||||||||||

PS 0 (individual) due | PS 1 (individual) due | |||||||||||||

9/10 | Developing Standards for | 9/12 | Wrapping up the Garden Houses | 9/14 | The Mean and Extreme Ratio | |||||||||

Judgment; Applying Standards | of Ostia | From Euclid to the Golden Ratio | ||||||||||||

Example: Garden Houses | Common Beliefs about the | |||||||||||||

Golden Ratio | ||||||||||||||

PS 2 (group) due | ||||||||||||||

9/17 | Golden Ratio in the Ancient | 9/19 | Pi and Phi in the Great Pyramid | 9/21 | More on Similarity | |||||||||

World? Pi and Phi in the | Similar Figures | Gnomons | ||||||||||||

Great Pyramid of Giza | ||||||||||||||

PS 3 (individual) due | Project 2 due | |||||||||||||

9/24 | More on Gnomons; Ancient | 9/26 | The Golden Rectangle in Art | 9/28 | Fibonacci Numbers | |||||||||

Questions about Gnomons. | Gnomonic Growth | Fibonacci Numbers and Phi | ||||||||||||

From Gnomons to the Golden | Intro to Fibonacci Numbers | |||||||||||||

Rectangle | ||||||||||||||

PS 4 (group) due | ||||||||||||||

10/1 | Perspective Activity: | 10/3 | Q & A for Exam 1 | 10/5 | History of Perspective | |||||||||

Taping Windows | Intro to 3 Dimensional Space | |||||||||||||

Exam 1 (6-9pm) | Plotting in 3D | |||||||||||||

Covers thru PS 5 | ||||||||||||||

PS 5 is not due | Project 3 due | |||||||||||||

10/8 | Fall Break | 10/10 | More on Plotting in 3D: | 10/12 | Plotting in 3D | |||||||||

Plotting the Classroom | Distance in 3D | |||||||||||||

Distance in 3D | Optical Ideas Behind | |||||||||||||

Perspective | ||||||||||||||

PS 6 (group) due | ||||||||||||||

Project 4 due | ||||||||||||||

10/15 | Perspective; Connecting | 10/17 | Using Formulae for | 10/19 | Perspective: Observations and | |||||||||

Perspective to 3d Plotting | Perspective Images to Convert | Conclusions | ||||||||||||

Developing Formulae for | 3D to 2D | Vanishing Points | ||||||||||||

Perspective Images | Observations | |||||||||||||

PS 7 (individual) due | ||||||||||||||

10/22 | Lots More on Vanishing Points | 10/24 | The Vanishing Point Theorem | 10/26 | Finding the Correct Viewing | |||||||||

Position | ||||||||||||||

PS 8 (group) due | Project 5 due | |||||||||||||

10/29 | Class Cancelled | 10/31 | Rules on Perspective | 11/2 | Duplicating Rectangles in | |||||||||

(Hurricane Sandy) | Subdividing and Duplicating | Perspective. Developing More | ||||||||||||

Rectangles in Perspective | Perspective Techniques | |||||||||||||

Postponed: | ||||||||||||||

Q & A for Exam 2 | New: | |||||||||||||

Postponed: | PS 9 due Thursday, 3pm | |||||||||||||

Exam 2: Tues 6-9pm | ||||||||||||||

Postponed: | ||||||||||||||

Complete PS 9 by Monday | ||||||||||||||

11/5 | Anamorphic Art | 11/7 | Intro to Fractals; Symmetry | 11/9 | Chaos Game | |||||||||

Sunday 4-5pm | Scale; the Koch Snowflake | More on Sierpinski Gasket | ||||||||||||

Q & A for Exam 2 | the Sierpinski Gasket | Similarity Dimension (?) | ||||||||||||

Tuesday: 5-8pm | Recursion | |||||||||||||

Exam 2 | Changed: | |||||||||||||

Complete PS 10 by Monday | PS 10 (group) NOT due | Project 6 due | ||||||||||||

11/12 | Similarity Dimension | 11/14 | Intro to the Mandelbrot Set | 11/16 | Mandelbrot Set | |||||||||

& Complex Numbers | ||||||||||||||

PS 11 (individual) due | Projects 7 & 8 due | |||||||||||||

11/19 | Examples of Fractals in World | 11/21 | 11/23 | |||||||||||

& in Art | ||||||||||||||

Brief History: the Popularization | ||||||||||||||

of the 4th Dimension | ||||||||||||||

What is Flatland? | ||||||||||||||

Patterns in 0D, 1D, 2D, 3D | Thanksgiving Break | |||||||||||||

PS 12 (group) due | ||||||||||||||

Tuesday at noon | ||||||||||||||

11/26 | Thinking about 4 Dimensions | 11/28 | Q & A for Exam 3 | 11/30 | Flatland - The Movie | |||||||||

"Cubes" in 0, 1, 2, 3 & 4D | More on "Cubes" in 0, 1, 2, 3, | |||||||||||||

Exam 3 (6-9pm) | and 4 Dimensions | |||||||||||||

Covers through PS 13 | ||||||||||||||

Complete PS 13 by Tuesday | Projects 9 & 1 due | |||||||||||||

12/3 | Visualizing the Hypercube | 12/5 | More on Visualizing the | 12/7 | The 4th Dimension in Art | |||||||||

Hypercube | Quick Overview of Non- | |||||||||||||

Euclidean Geometry in Art | ||||||||||||||

Mini Art Show, in Class? | ||||||||||||||

Evaluations | ||||||||||||||

PS 14 (individual) due | ||||||||||||||

Projects 10, 11 and 12 due | ||||||||||||||

The final will be Wednesday, December 12, from 2pm-5pm. |

Department of Mathematics and Computer Science

Science Center, Room 1306

Norton, Massachusetts 02766-0930

TEL (508) 286-3973

FAX (508) 285-8278

jsklensk@wheatonma.edu

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