Math 476: Modern Geometry
Josh Laison

Syllabus
Course Canvas site
Topics
In-class demonstrations and links
Geometry with Geogebra
Resources for learning Python

Course calendar:
Tuesday Thursday
Week 1 Jan 14: First day of class!
Intro to triangulations
Jan 16: Python day, working on this Python handout
Week 2 Jan 21: Counting triangulations; tetrahedralizations Jan 23: The Art Gallery Theorem, intro to convex hulls
Homework assignment 1 due.
Week 3 Jan 28: Proving theorems about convex hulls Jan 30: Quiz 1 today
Intro to algorithmic complexity
Week 4 Feb 4: Practice with algorithms and running time, convex hull algorithms
Homework assignment 2 due.
Feb 6: More convex hull algorithms
Week 5 Feb 11: Triangulations of point sets Feb 13: Class canceled, snow!
Week 6 Feb 18: Introduction to flip graphs
Homework assignment 3 due.
Feb 20: Amazing things about flip graphs!
Quiz 2 today.
Week 7 Feb 25: Amazing things about flip graphs, continued
Planning final presentations
Feb 27: Delaunay triangulations
Week 8 Mar 4: More Delaunay triangulations, Voronoi diagrams Mar 6: Proving theorems about Voronoi diagrams
Homework assignment 4 due.
Week 9 Mar 11: Amazing things about Voronoi diagrams! Mar 13: Quiz 3 today.
More final presentation prep
Week 10 Mar 18: Medial axes Mar 20: Homework assignment 5 due.
Spring break!
Week 11 Apr 1: Minkowski sums Apr 3: Unfoldings of polyhedra
Week 12 Apr 8: Shortest paths on polyhedra Apr 10: Quiz 4 today.
Week 13 Apr 15: Quasicrystals presentation
Patterns in regular polytopes
Homework assignment 6 due.
Apr 17: Mobius transformations presentation
Sphere packing presentation
Dissections of polygons and polyhedra
Week 14 Apr 22: Protein folding presentation
Tiling presentation
Polyominoes presentation
Origami presentation
Apr 24: Quiz reflection due today.
Graph drawing presentation
Collision detection presentation
Visibility graphs presentation
Parabolic front algorithm presentation
Week 15 Apr 29: Last day of class!
Pick's Theorem presentation
Homework assignment #7 due.
May 1: Woodburn presentations