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 * ''Drew Chorney": '''Geodesics on Identification Spaces of some Fundamental Domains:''' Looking at geodesics on identification spaces of fundamental domain's of PSL(2,Z) and congruence subgroups. Making animations in jyscript to see the geodesics moving along in the region.

Sage days 9 Student Projects

Please add your project to this list. Follow the examples that are already there.

  • 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. See [http://wiki.sagemath.org/JakubMarecek here] for more.

  • 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.

  • Olesya Peshko: Intensity-based Image Segmentation Tool A simple segmentation tool which shows regions of the image (represented by a 2D or 3D matrix of pixel/voxel intensity values) in different colours for easy visualization of the structures shown in the image.

  • Drew Chorney": Geodesics on Identification Spaces of some Fundamental Domains: Looking at geodesics on identification spaces of fundamental domain's of PSL(2,Z) and congruence subgroups. Making animations in jyscript to see the geodesics moving along in the region.

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