**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 |

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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