# Sage days 9 Student Projects

• Mclean Edwards, Scott Zhou: BFGS Iterates. Plotting iterates, in an interactive manner, of the celebrated BFGS method applied to nonconvex and convex functions. Comparison of sage, jyscript/piscript, and our own python-based solutions.

• Jakub Marecek: Toy Integer Programming Solver. A very limited integer programming solver for instances with 3 variables, but complete with several primal heuristics in use today, and visualising the workings nicely. (Java & vtkHull?)

• Aurel Meyer: Symmetry groups of polytopes. Graphics to illustrate that all symmetry groups of regular polytopes are finite Coxeter groups.

• Yair Go1dberg: 3D Graphing in PiScript. Plotting 3 dimensional functions in PiScript.

• Steve Kieffer: Algebra sketches. Tools with which to produce sketches of a kind often drawn on blackboards to illustrate algebraic structures.

• Michael Lamoureux: EasyBalls. A 2D animation of colliding balls, maybe with gravity, maybe with E&M if I can get the 3D in there.

• Ryan Hoban: Hyperbolic Geometry. Using sage to draw geometric structures in the Hyperbolic plane.

• SĂ©bastien LabbĂ©: Combinatorics on words. 1. Use colors and @interact of sage to study equations on words. 2. Use jyscript and jython to create a java applet to illustrate Christoffel words (http://wiki.sagemath.org/Days9Projects?action=AttachFile&do=view&target=ChristoffelWord.py).