Differences between revisions 56 and 57
 ⇤ ← Revision 56 as of 2008-08-13 23:00:39 → Size: 4152 Editor: NilsBruin Comment: alphabetized the project list by student last name ← Revision 57 as of 2008-08-13 23:28:39 → ⇥ Size: 4019 Editor: NilsBruin Comment: Deletions are marked like this. Additions are marked like this. Line 9: Line 9: * ''Adam Getchell'': '''Nonlinear Dynamics in SAGE'''. Illustrate and solve solutions to non-linear equations. Add basic cobweb diagrams. Wrap Maxima's CTensor package and compare speed with SAGE's Christoffel symbol calculation in calculus/tests.py. Line 36: Line 38: * ''Adam Getchell'': '''Nonlinear Dynamics in SAGE'''. Illustrate and solve solutions to non-linear equations. Add basic cobweb diagrams. Wrap Maxima's CTensor package and compare speed with SAGE's Christoffel symbol calculation in calculus/tests.py. Line 38: Line 39: * ''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. * ''Adrian Belshaw'': '''Unimodular Polynomials.''' Using Sage to draw unimodualr polynomials on the unit circle in the complex plane. * ''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.

# Sage days 9 Student Projects

• Adrian Belshaw: Unimodular Polynomials. Using Sage to draw unimodualr polynomials on the unit circle in the complex plane.

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

• 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.

• Adam Getchell: Nonlinear Dynamics in SAGE. Illustrate and solve solutions to non-linear equations. Add basic cobweb diagrams. Wrap Maxima's CTensor package and compare speed with SAGE's Christoffel symbol calculation in calculus/tests.py.

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

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

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

• 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.

• 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]

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

• 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.

• 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.
• 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.

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