Math 2710V (Geometry and Illustration)

instuctor: Prof. Rich Schwartz
time TuTh 1:00-2:20 (J hour)
place Main Lecture Hall, ICERM
my office hours: Tuesdays and Thursdays whenever I am there
Final Exam This is a take-home exam

syllabus

Notes

• the spin cover
• planar tilings and Euclidean orbifolds
• Translation Surfaces
• hyperbolic geometry notes
• Hyperbolic geometry article by Cannon, Floyd, Kenyon, Parry
• hyperbolic geometry and pythagorean triples
• hyperbolic geometry and arctan relations
• Matt Grayson's PhD Thesis
• Notes on SOL and NIL (These have exercises)
• My paper on SOL Spheres
• The Saul SOL challenge - Solved
• Notes on Projective Geometry (These have exercise)
• Pentagram map wikipedia page
• Notes on Billiards and Veech Groups (these have exercises)
• Notes on p-adic numbers and the Serre tree (these have exercises)

Exercises

• Some questions on the material from lectures 1-3
• Some hyperbolic geometry questions
• appollonian packing worksheet
• Some hyperbolic manifold questions
• Notes on SOL and NIL (These have exercises)
• Notes on Projective Geometry (These have exercise)
• Notes on Billiards and Veech Groups (these have exercises)
• Notes on p-adic numbers and the Serre tree (these have exercises)

Java

• This list of all Java classes essentially shows all possible objects in Java, the way that they are called, and their functions.
• These very simple Java programs show the very basics of the language.
• This gives an example of a pixel-by-pixel Java plotter
• This gives a seed for a single Graphics Canvas
• This gives a seed for a Graphics Canvas and auxiliary Control Canvas
• This is a Voronoi Cell Drawer for the Torus
• Here is a Penrose Tile Program
• My SOL (and NIL) plotter
• My Poncelet Porism program

Javascript

• Some sample javascript programs I wrote.
• My javascript game Lucy and Lily
• Pythagorean Triples