Syllabus for Math 122: Math in Art
Spring, 2020

()

 This syllabus is subject to change! Monday Wednesday Friday 1/20 1/22 Welcome to Math in Art 1/24 What is a System of Proportion? Review Ratio and Proportion Who uses a System of Proportion and Why? Examples 1/27 The Sacred Cut 1/29 How Close is Close Enough? 1/31 Applying Standards for Judgment: Example: Garden Houses of Developing Standards of Judgment Example=Garden Houses of Ostia Ostia PS 1 (individual) due PS 0 (individual) due 2/3 Acceptance Ranges 2/5 The Mean and Extreme Ratio: 2/7 Golden Ratio in the Ancient World: Example: Garden Houses Euclid to Phi Phi and Pi in the Great Pyramid Common Beliefs:Golden Ratio PS 2 (group) due 2/10 Phi and Pi in the Great Pyramid 2/12 More on Similarity 2/14 Ancient Questions about Gnomons; Similar Figures Gnomons From Gnomons to the Golden PS 3 (individual) due Rectangle; the Golden Rectangle in Art Project 1 due 2/17 Gnomonic Growth: Intro to 2/19 Q & A for Exam 1 2/21 Fibonacci Numbers Fibonacci Numbers; Fibonacci Exam 1 (6-8pm, Mars SC 1141) Fibonacci Numbers & Phi Numbers and Phi Covers thru PS 4 Complete PS 4 by classtime PS 4 will not be collected 2/24 Perspective Activity: 2/26 History of Perspective 2/28 More on Plotting in 3D Taping Windows Intro to 3D Space Plotting the Classroom Plotting in 3D NWJ lecture R 2/27 at 5pm PS 5 (group) due "The Game is Rigged" (Extra Credit) Project 2 due 3/2 Plotting in 3D 3/4 Perspective 3/6 Practice: Using Perspective Distance in 3D Connecting to 3D Plotting Theorem to Convert 3D points Optical Ideas Behind Perspective Theorem to 2D, then Using 2D to Perspective PS 6 (individual) due Draw Perspective Image Project 3 due 3/9 3/11 Spring Break 3/13 3/16 Perspective: Observations and 3/18 Lots More on Vanishing Points 3/20 The Vanishing Point Theorem Conclusions PS 7 (group) due Project 4 due Vanishing Points 3/23 Finding the Ideal Viewing 3/25 Q & A for Exam 2 3/27 Rules on Perspective Position Exam 2(6-8pm, Mars SC 1141) Subdividing and Duplicating Covers thru PS 7 Rectangles in Perspective Complete PS 8 by classtime Project 5 due PS 8 will not be collected 3/30 Duplicating Rectangles in 4/1 Anamorphic Art 4/3 Intro to Fractals Perspective. Developing More PS 9 (individual) due Symmetry of Scale Perspective Techniques Koch Snowflake; Sierpinski Gasket Recursion Project 5 due 4/6 Chaos Game 4/8 Similarity Dimension 4/10 Intro to Mandelbrot Set More on Sierpinski Gasket PS 10 (groupl) due and Complex Numbers Similiarity Dimension (?) Projects 6, 7 due 4/13 Mandelbrot Set 4/15 Q & A for Exam 3 4/17 Fractal Examples Exam 3(6-8pm, Mars SC 1141) Summary: Popularization of Covers thru PS 11 4th Dimension Complete PS 11 by classtime PS 11 will not be collected 4/20 What is Flatland? 4/22 Patterns in 0D, 1D, 2D and 3D. 4/24 Visualizaing the Hypercube Thinking about 4 Dimensions "Cubes" in 0, 1, 2, 3, & 4D Projects 8, 9,10 due PS 12 (individuall) due 4/27 The 4th Dimension in Art 4/29 More on Non-Euclidean 5/1 Non-Euclidean Geometry in Art Quick Overview of Non- Geometry Evaluations Euclidean Geometry PS 13 (group) due Projects 11, 12 and 13 due The final will be Friday, May 8, 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
sklensky_janice@wheatoncollege.edu

Back to: Math in Art | My Homepage | Math and CS