Syllabus for Math 122: Math in Art
Fall 2012

 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.

Janice Sklensky
Wheaton College
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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