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| * ''John Doe, Jane Deer'': '''Graphing antlers'''. The branching of the antlers of three year-old moose and cariboo form intricate mathematical patterns. We will produce an applet that illustrates the growth of these structures. | * ''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?) . Further ideas: '''SVG and PDF Output for JyScript'''. A quick hack using Apache Batik (http://xmlgraphics.apache.org/batik/). '''TeX and PS and PDF Output for SAGE'''. A quick hack using Sketch (http://www.frontiernet.net/~eugene.ressler/). * ''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. [http://wiki.sagemath.org/Days9Projects?action=AttachFile&do=get&target=Equations_on_words_with_color.sws Equations_on_words_with_color.sws] (Next version of [http://code.google.com/p/sage-words/ sage-words package] needed to run it!!) 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 ChristoffelWord.py] 3. Add gridlines to plot in sage. Franco Saliola improved *a lot* my initial patch by adding 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. |
Sage days 9 Student Projects
Please add your project to this list. Follow the examples that are already there.
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?)
Further ideas: SVG and PDF Output for JyScript. A quick hack using Apache Batik (http://xmlgraphics.apache.org/batik/). TeX and PS and PDF Output for SAGE. A quick hack using Sketch (http://www.frontiernet.net/~eugene.ressler/).
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.
- Use colors and @interact of sage to study equations on words.
[http://wiki.sagemath.org/Days9Projects?action=AttachFile&do=get&target=Equations_on_words_with_color.sws Equations_on_words_with_color.sws] (Next version of [http://code.google.com/p/sage-words/ sage-words package] needed to run it!!)
- Use jyscript and jython to create a java applet to illustrate Christoffel words
Add gridlines to plot in sage. Franco Saliola improved *a lot* my initial patch by adding many options to make it work like in Matematica. See [http://trac.sagemath.org/sage_trac/ticket/3825 Ticket #3825]
- Use colors and @interact of sage to study equations on words.
Arnaud Bergeron: Better adaptive plotting in Sage. At William's request, I am working on better adaptive refinement for Sage's plot() command.