Mathematics of Art:  Weekly Schedule

Photos:

taping windows 1    3   4   5   6  7   8   9  10  11   12   13 

adding string to our classroom:  view one  versus view two versus  view three



Before the semester begins: Read “The Allegory of the Cave”, from Plato’s “the Republic”, Book VII.  
Draw (or create) a diagram that explains what was happening in the cave . . .  The goal is to create a nice-looking diagram that would allow anyone looking at it to understand the situation in the cave, even if that 'anyone' hadn’t read any Plato . . . [details omitted]
Write: a one-page paper.  [See  Socrates assignment].
Week 1
Window Taping exercise as an experiential introduction to perspective.
Math/Art Exercises:  Buy supplies.
Write:  Hand in Socrates assignment.
Week 2
Introduction to the Plan View for perspective; coordinate systems.  Discuss summer assignments, share and discuss papers and artwork.  Visit the Writing Center.  Discuss use of detail to support a thesis.  Interview professors for next week’s paper.

Read: chapters 1 and 2 of the textbook.
Math/Art Exercises:  from chapters 1 & 2 of book.
Write: Taping Exercise
Week 3
Introduction to the library.  Visit computer workroom and create Excel spreadsheet for drawing a house.  Three-dimensional coordinates.  Algebraic formulas for projecting these points on a picture plane.  Misplaced modifiers.
   


Read
:  Finish Chapter 2
Math/Art Exercises: Draft of Excel House.
Write:  “How to succeed in your classes” 
Week 4
What is a vanishing point?  How to draw a cube in one-point perspective.  First encounter with viewing distances.  How to quote and paraphrase.  Using other sources to support your thesis.
  


Read
:  “Writing about Art”
Math/Art Exercises  Finish Excel House
Write: either draft 5-page paper due, or else
    Choice of One-page paper:  Blind copying paper or Vignette Summary

Week 5
Read, mark up, and discuss 5 student papers.  Visit art gallery; viewing distance exercises.  Poster gallery; more viewing distance with 1- and 2-point perspective.  Start 1-point perspective sketch of  hallway.
   


Read
“Using Outside Sources”;  also an artist vignette from the textbook.
Write: same as last week
Week 6
Read, mark up, and discuss 5 student papers.  Computing viewing distances when there is no image of a square, from 1x2 and other rectangles.  Begin to sketch images of 3-d letters, with an emphasis on correct width and depth.
   


Read
:  Student essays.
Math/Art Exercises:  sketch your hallway in 1-pt perspective
Write:  same as last week.
Week 7
Read, mark up, and discuss 6 student papers.  Begin “fence” problems:  How do you divide a fence in half?  There are many solutions.  Compare the solutions on the basis of elegance, simplicity, and generalizability (could you do the same in 2-point perspective?  to divide the fence into n pieces?)  Active and passive voice.
   


Read
: Textbook, Chapter 3
Math/Art Exercises: Write a word that is at least 4 letters long in 1-point perspective
Write:  5-page paper due.
Week 8
Fall Break.  The “Paramedic Method” Video.  Revisit passive/active voice.  More fence problems: can you double the fence?  divide it into 3 pieces?
   

Read
: Chapter 4
Math/Art Exercises:
Write:  Active/Passive Paper
Week 9
Week 9
Perspective with irregular objects.  Art fieldtrip to a coffee shop; add a “poster” to the wall in your hallway sketch.  Drawing square floor tiles in 1- and 2-point perspective (and how do you know they’re “squares” and not rectangles?).


Read
:  Anamorphic Art chapter.
Math/Art Exercises:  Finish “poster on a wall” sketch.
Write:     What kinds of math are in your piece of art?
Week 10
Week 10
Drawing in 2-point and 3-point perspective.  “What’s my line?” game (Drawing the original Excel House by hand, summarizing all our perspective techniques).  
   

Read
: Chapter 5
Math/Art Exercises:  Draw a 4-letter word in 2-point perspective.
Write:  Either 4-page paper or
    choice of one-page papers: (Viewing distance paper or Plan View paper)
Week 11
Read, mark up, and discuss 5 student papers.  Introduction to Fractals.  Fractal dimension.  Iterations and the “Chaos Game”.
   

Read
:  Student Papers.
Math/Art Exercises:  Hausdorff dimension of self-similar objects.
Write:  same as last week.
Week 12
Read, mark up, and discuss 5 student papers.  Using fractal software; connection between an iterated function system to the generated fractal.  Sketching fractal “cauliflower”.
   

Read
: Student Papers.
Math/Art Exercises:  Finish fractal cauliflower.
Write:  same as last week.
Week 13
Read, mark up, and discuss 6 student papers.  Thanksgiving Break.

Write:  5-page paper due.
Week 14
Iterations with rotation and reflection.  Recovering the original function system from an existing fractal.  Dimension of the Chesapeake Bay.  Introduction to the  fourth dimension.  The Hypercube.
   

Read
Flatland, pages 1-52
Math/Art Exercises: given several fractals, uncover original transformation, check by plugging these into fractal software;  print it out
Write: Rewrite Socrates Paper
Week 15 Flatland and art.  Hockney’s video on optical devices in Renaissance Art.  
   

Read
Flatland, pages 53-83
Math/Art Exercises: sketch person & cube passing through Flatland
Write:  Flatland/Allegory Paper.