Syllabus for Math In Art
Spring '05
(Last modified: Friday, January 21, 2005, 2:21 PM )

 Monday Wednesday Other 1/24 1/26 Intro to Math in Art Review Ratio and Proportion What is a system of Proportion? 1/31 Who uses systems of proportion, and why? 2/2 Developing standards for judgment Vitruvian Man, Harmonic Systems of Proportion, the application of standards to Garden Houses at Ostia. Modulor, The Sacred Cut in Roman Architecture PS 0, PS 1 due 2/7 Common beliefs about the Golden Ratio 2/9 In Class Work on the Mean and Extreme Ratio 2/11 The Mean and Extreme Ratio; how Euclid's definition Sketch of how we know the Golden Ratio is irrational Project leads to the Golden Ratio Pi and Phi in the Great Pyramid 2 due PS 2 due 2/14 Pi and Phi in the Great Pyramid 2/16 Exam 1 Similar figures (will cover PS 3, which will be due Tuesday at 2:30) Q & A for Exam 1, Project 1 (proportion) due 2/21 Greek puzzles--gnomons 2/23 From gnomons to the Golden Rectangle Ancient Greek questions relating to gnomons The Golden Rectangle in Art Gnomonic growth; Fibonacci numbers and Phi PS 4 due 2/28 Setting the stage for perspective 3/2 More practice plotting points in 3D 3/4 Intro to 3 dimensional space Distance in 3 dimensions Project Plotting in 3 dimensions PS 5 due 3 due 3/7 Optical ideas behind perspective 3/9 Vanishing Points 3/11 Connecting perspective to plotting in 3D Intro to finding the correct viewing position Project Developing formula for perspective images PS 6 due 4 due 3/14 Spring Break 3/16 Spring Break 3/21 Finding the correct viewing position 3/23 Exam 2 Q & A for Exam 2 (will cover PS 7, which will be due Tuesday at 2:30) 3/28 Rules of perspective 3/30 More on other perspective techniques 4/1 Subdividing and duplicating rectangles in perspective The spread of perspective Project More perspective techniques Intro to anamorphic art 5 due PS 8 due 4/4 Creating anamorphic art 4/6 Looking for patterns 4/8 Brief history of popularization of the 4th dimension Developing the hypercube Project in the early 20th century; from Flatland to 3D to 4D Visualizing the hypercube 6 due PS 9 due 4/11 Continuing to visualize the hypercube 4/13 Introduction to elliptic and hyperbolic space 4/15 The 4th dimension in art Focusing deeper elliptic space Project PS 10 due 7 due 4/18 Lines in elliptic space 4/20 Exam 3 4/22 Lines in hyperbolic space (will cover PS 11, which will be due Tuesday at 2:30) Project Q & A for Exam 3 8 due 4/25 The Poincare disk model of Hyperbolic space 4/27 Recursion 4/29 Non-Euclidean geometry in art The Sierpinski gasket Projects Intro to fractals and symmetry of scale Fractional dimension 1,9,10 The Koch snowflake Symmetry of scale due PS 12 due 5/2 The chaos game 5/4 Practicing with the Mandelbrot set 5/5 The Mandelbrot set Examples of Fractals in Art Setting up Complex numbers Evaluations artshow PS 13 due, Projects 11,12 due 5/9 2:00pm Final If you are available between 10:30 and 11:30 on the morning of Thursday May 5th, come help me set up an art show to display those projects which best display the mathematical ideas you've learned.

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

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