Differences between revisions 52 and 53
 ⇤ ← Revision 52 as of 2008-08-13 21:25:38 → Size: 3603 Editor: ZNedev Comment: ← Revision 53 as of 2008-08-13 21:41:33 → ⇥ Size: 3740 Editor: AdrianBelshaw Comment: Deletions are marked like this. Additions are marked like this. Line 25: Line 25: * ''Adrian Belshaw'': '''Unimodular Polynomials.''' Using Sage to draw unimodualr polynomials on the unit circle in the complex plane.

# Sage days 9 Student Projects

• Mclean Edwards, Scott Zhou: BFGS Iterates. Plotting iterates, in an interactive manner, of the celebrated BFGS method for the minimization of 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.

• Sébastien Labbé: 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
3. Add gridlines support for show() in sage. Franco Saliola improved *a lot* my initial patch by changing it all (!!) and added many options to make it work like in Matematica. See [http://trac.sagemath.org/sage_trac/ticket/3825 Ticket #3825]

• Arnaud Bergeron: Better adaptive plotting in Sage. At William's request, I am working on better adaptive refinement for Sage's plot() command.

• Avra Laarakker: Properties of Digit Sets and Dilation Matrices using Sage. Given a dilation matrix A, and a digit set D, want to see visually if a tiling of Z^n is possible.

• Ignacio Rozada: Python and PDE's. Solving and plotting numerical solutions to reaction-diffusion partial differential equations on growing domains; a comparison between scipy-matplotlib and matlab.

• Zhivko Nedev: Encoding/Representing a class of combinatorial structures and making tools for their visualization and analysis. The comb. structure is a MINIMAL edge coloring of K_n, the complete graph, with the following properties:

1. No two adjacent edges have the same color.
2. Our coloring splits the set of edges of K_n into color classes; we require that every class has at least two members.
3. The coloring is minimal by inclusion. That is, if we delete any subset of vertices of K_n (and any adjacent edges), then property 2 is violated - there will be at least one color class with one member.
• Adrian Belshaw: Unimodular Polynomials. Using Sage to draw unimodualr polynomials on the unit circle in the complex plane.

Days9Projects (last edited 2008-11-14 13:42:05 by anonymous)