Syllabus for Math in Art -- Math 122
Spring 2007

 This syllabus is subject to change! Monday Wednesday Friday 1/26 1/24 Welcome to Math in Art 1/26 Who uses a System of Review Ratio and Proportion Proportion and Why? What is a System of Proportion? Examples of Systems of Proportion 1/29 Developing Standards for Judgment 1/31 Application of Standards to Some 2/2 The Mean and Extreme Ratio Ancient Examples From Euclid to the Golden Ratio Common Beliefs about the Golden Ratio PS 0, PS 1 (both individual) due 2/5 In Class Work on Mean and Extreme Ratio 2/7 More on Mean and Extreme Ratio 2/9 Similar Figures How might ancients know Golden Pi and Phi in the Great Pyramid Greek puzzles- gnomons Ratio is irrational? PS 2 (group or individual) due Project 2 due 2/12 More on gnomons 2/14 From gnomons to the Goldon Rectangle 2/16 Gnomonic Growth Ancient Greek questions on gnomons The Golden Rectangle in Art Fibonacci Numbers and Phi Gnomonic growth Setting the Stage for Perspective PS 3 (group) due 2/19 Q & A for Exam 1 2/21 Exam 1 2/23 Intro to 3 dimensional space (covers thru PS 4 (individual), due Tuesday) Plotting in 3d 2/26 Distance in 3d 2/28 Developing formulae for perspective images 3/2 Vanishing points Optical ideas behind perspective Vanishing points Finding the correct viewing position Connecting perspective to 3d plotting PS 5 (group) due Project 3 due 3/5 Finding the correct viewing 3/7 Rules of perspective 3/9 Duplicating rectangles in perspective position Subdividing rectangles in perspective More perspective techniques PS 6 (individual) due Projects 4, 5 due 3/12 3/14 3/16 Spring Break 3/19 More perspective techniques 3/21 Q&A for Exam 2 3/23 Exam 2 PS 7 (group) due (covers through PS 7) 3/26 The Spread of perspective 3/28 Brief history of the popularization of 3/30 Looking for patterns in 0D, 1D, 2D, 3D Anamorphic Art the 4th dimension; Visualizing the Hypercube From Flatland to 3D to 4D Project 6 due PS 8 (individual) due 4/2 More on the hypercube 4/4 The 4th dimension in art 4/6 Intro to elliptic and hyperbolic space Intro to non-Euclidean geometry Focusing deeper on elliptic space PS 9 (group) due Projects 7 and 8 due 4/9 Lines in elliptic space 4/11 Lines in hyperbolic space 4/13 The Poincare disk model of PS 10 (individual) due hyperbolic space Non-Euclidean geometry in Art Project 9 due 4/16 Q & A for Exam 3 4/18 Exam 3 4/20 Intro to fractals and symmetry of scale (covers thru PS 11 (ind), The Koch snowflake; recursion due Tuesday) 4/23 Recursion; The Sierpinski gasket 4/25 The chaos game 4/27 Complex numbers Fractional dimnsion The Mandelbrot set Working with the Mandelbrot set Symmetry of scale Evaluations? Projects 1, 10, 11, and 12 due PS 12 (individual) due 4/30 Setting up an art show to display those 5/2 More on working with the mandelbrot set 5/4 Examples of Fractals in Art projects which best demonstrate the PS 13 (group) due Examples of Mathematical Art mathematical ideas you've learned Project 13 due The final will be Tuesday, May 8, from 2pm-5pm.

Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 109
Norton, Massachusetts 02766-0930
TEL (508) 286-3973
FAX (508) 285-8278
jsklensk@wheatonma.edu

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