(Last modified: Wednesday, February 7, 2007, 3:47 PM )

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

Monday | Wednesday | Friday | |||

1/26 | 1/24 | Welcome to Math in Art | 1/26 | Who uses a System of | |

Review Ratio and Proportion | Proportion and Why? | ||||

What is a System of Proportion? | Examples of Systems of Proportion | ||||

1/29 | Developing Standards for Judgment | 1/31 | Application of Standards to Some | 2/2 | The Mean and Extreme Ratio |

Ancient Examples | From Euclid to the Golden Ratio | ||||

Common Beliefs about the Golden Ratio | |||||

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

2/5 | In Class Work on Mean and Extreme Ratio | 2/7 | More on Mean and Extreme Ratio | 2/9 | Similar Figures |

How might ancients know Golden | Pi and Phi in the Great Pyramid | Greek puzzles- gnomons | |||

Ratio is irrational? | PS 2 (group or individual) due | Project 2 due | |||

2/12 | More on gnomons | 2/14 | From gnomons to the Goldon Rectangle | 2/16 | Gnomonic Growth |

Ancient Greek questions on gnomons | The Golden Rectangle in Art | Fibonacci Numbers and Phi | |||

Gnomonic growth | Setting the Stage for Perspective | ||||

PS 3 (group) due | |||||

2/19 | Q & A for Exam 1 | 2/21 | Exam 1 | 2/23 | Intro to 3 dimensional space |

(covers thru PS 4 (individual), | |||||

due Tuesday) | Plotting in 3d | ||||

2/26 | Distance in 3d | 2/28 | Developing formulae for perspective images | 3/2 | Vanishing points |

Optical ideas behind perspective | Vanishing points | Finding the correct viewing position | |||

Connecting perspective to 3d plotting | PS 5 (group) due | Project 3 due | |||

3/5 | Finding the correct viewing | 3/7 | Rules of perspective | 3/9 | Duplicating rectangles in perspective |

position | Subdividing rectangles in perspective | More perspective techniques | |||

PS 6 (individual) due | Projects 4, 5 due | ||||

3/12 | 3/14 | 3/16 | |||

Spring Break | |||||

3/19 | More perspective techniques | 3/21 | Q&A for Exam 2 | 3/23 | Exam 2 |

PS 7 (group) due | (covers through PS 7) | ||||

3/26 | The Spread of perspective | 3/28 | Brief history of the popularization of | 3/30 | Looking for patterns in 0D, 1D, 2D, 3D |

Anamorphic Art | the 4th dimension; | Visualizing the Hypercube | |||

From Flatland to 3D to 4D | Project 6 due | ||||

PS 8 (individual) due | |||||

4/2 | More on the hypercube | 4/4 | The 4th dimension in art | 4/6 | Intro to elliptic and hyperbolic space |

Intro to non-Euclidean geometry | Focusing deeper on elliptic space | ||||

PS 9 (group) due | Projects 7 and 8 due | ||||

4/9 | Lines in elliptic space | 4/11 | Lines in hyperbolic space | 4/13 | The Poincare disk model of |

PS 10 (individual) due | hyperbolic space | ||||

Non-Euclidean geometry in Art | |||||

Project 9 due | |||||

4/16 | Q & A for Exam 3 | 4/18 | Exam 3 | 4/20 | Intro to fractals and symmetry of scale |

(covers thru PS 11 (ind), | The Koch snowflake; recursion | ||||

due Tuesday) | |||||

4/23 | Recursion; The Sierpinski gasket | 4/25 | The chaos game | 4/27 | Complex numbers |

Fractional dimnsion | The Mandelbrot set | Working with the Mandelbrot set | |||

Symmetry of scale | Evaluations? | Projects 1, 10, 11, and 12 due | |||

PS 12 (individual) due | |||||

4/30 | Setting up an art show to display those | 5/2 | More on working with the mandelbrot set | 5/4 | Examples of Fractals in Art |

projects which best demonstrate the | PS 13 (group) due | Examples of Mathematical Art | |||

mathematical ideas you've learned | Project 13 due | ||||

The final will be Tuesday, May 8, from 2pm-5pm. |

Department of Mathematics and Computer Science

Science Center, Room 109

Norton, Massachusetts 02766-0930

TEL (508) 286-3973

FAX (508) 285-8278

jsklensk@wheatonma.edu