Syllabus for Math 122: Math in Art
    Spring, 2020
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    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

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