**Syllabus for Math 122: Math in Art**

**Spring, 2015**

()

This syllabus is subject to change! | |||||

Monday | Wednesday | Friday | |||

1/19 | 1/21 | Welcome to Math in Art | 1/23 | What is a System of Proportion? | |

Review Ratio and Proportion | Who uses a System of | ||||

Proportion and Why? | |||||

Examples | |||||

1/26 | The Sacred Cut | 1/28 | 1/30 | Example: Garden Houses | |

Example: Garden Houses of | Snow Day | How Close is Close Enough? | |||

Ostia | Standards for Judging | ||||

PS 0 (individual) due | PS 1 (individual) due | ||||

2/2 | 2/4 | Judging if Close Enough | 2/6 | Acceptance Ranges | |

Snow Day | Applying Standards | Example: Garden Houses | |||

PS 2 (group) due | |||||

2/9 | 2/11 | Q & A for Exam 1 | 2/13 | Common Belieifs about | |

Snow Day | Exam 1 (6-8pm, Mars SC 1141) | the Golden Ratio | |||

Covers thru PS 3 | The Mean and Extreme Ratio | ||||

Complete PS 3 by classtime | From Euclid to the Golden Ratio | ||||

PS 3 will not be collected | Project 1 due | ||||

2/16 | Golden Ratio in the Ancient | 2/18 | Pi and Phi in the Great Pyramids | 2/20 | More on Similarity |

World; Pi and Phi in the | Similar Figures | Gnomons | |||

Great Pyramids of Giza | PS 4 (individual) due | ||||

2/23 | Ancient Questions About | 2/25 | Gnomonic Growth | 2/27 | More on Fibonacci Numbers |

Gnomons; From Gnomons to | Intro to Fibonacci Numbers | and Phi | |||

the Golden Rectangle; the | Fibonacci Numbers and Phi | History of Perspective | |||

Golden Rectnangle in Art | |||||

2:00 - Perspective Activity | |||||

Taping Windows | |||||

PS 5 (group) due | Project 2 due | ||||

3/2 | Intro to 3 Dimensional Space | 3/4 | More on plotting in 3D | 3/6 | Perspective; Connecting |

Plotting in 3D | Distance in 3D | Perspective to 3d Plotting | |||

Optical Ideas Behind | Developing Formulae for | ||||

Perspective | Perspective Images | ||||

PS 6 (individual) due | Project 3 due | ||||

3/9 | 3/11 | Spring Break | 3/13 | ||

3/16 | Using Formulae for | 3/18 | Q & A for Exam 2 | 3/20 | Perspective: Observations and |

Perspective Images to Convert | Exam 2 (6-8pm, Mars SC 1141) | Conclusions | |||

3D to 2D | Covers thru PS 7 | ||||

Observations | Complete PS 7 by classtime | ||||

PS 7 will not be collected | |||||

3/23 | Vanishing Points | 3/25 | The Vanishing Point Theorem | 3/27 | Finding the Ideal Viewing |

Position | |||||

PS 8 (group) due | Projects 4, 5 due | ||||

3/30 | Rules on Perspective | 4/1 | Duplicating Rectangles in | 4/3 | Anamorphic Art |

Subdividing and Duplicating | Perspective. Developing More | ||||

Rectangles in Perspective | Perspective Techniques | ||||

Rectangles in Perspective | PS 9 (individual) due | ||||

4/6 | Intro to Fractals; Symmetry | 4/8 | Chaos Game | 4/10 | Similarity Dimension |

Scale; the Koch Snowflake; | More on Sierpinski Gasket | ||||

the Sierpinski Gasket; | Similarity Dimension (?) | ||||

Recursion | PS 10 (groupl) due | ||||

4/13 | Intro to the Mandelbrot Set | 4/15 | Q & A for Exam 3 | 4/17 | Mandelbrot Set |

& Complex Numbers | Exam 3 (6-8pm, Mars SC 1141) | ||||

Covers thru PS 11 | |||||

Complete PS 11 by classtime | |||||

PS 11 will not be collected | Projects 6, 7 due | ||||

4/20 | Examples of Fractals in World | 4/22 | What is Flatland? | 4/24 | Patterns in 0D, 1D, 2D and 3D. |

& in Art | Thinking about 4 Dimensions | "Cubes" in 0, 1, 2, 3, & 4D | |||

Brief History: the Popularization | |||||

of the 4th Dimension | PS 12 (individuall) due | Projects 8, 9,10 due | |||

4/27 | Visualizing the Hypercube | 4/29 | The 4th Dimension in Art | 5/1 | Non-Euclidean Geometry |

Quick Overview of Non- | in Art | ||||

Euclidean Geometry | Evaluations | ||||

PS 13 (group) due | |||||

Projects 11, 12 and 13 due | |||||

The final will be Monday, May 4, from 9am-12pm. |

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