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Mathematical Features
- Integrate wallpaper groups and hyperbolic groups
- Implement rosette and frieze groups
- Implement spherical geometry
- Allow changes between as many geometries as possible
- Support subgroup and supergroup relations
- Implement fractional Dehn twists as a means to tranform an ornament
Technical User Interface Development
- Catch all exceptions, show dialog and allow for online bug report
- Implement language switching at runtime
- Language specific to applet, not to whole classloader
- Actions use reflection to invoke public methods
- Class and method name are prefix for resource bundle keys
- Use OpenGL by default, but provide fallback
User Interaction Experience
- Pen width scales roughly with stroke shape, but stays circular
- Use multiple tools, selectable from a toolbar
- Adjust side panel controls for each tool
- Enforce dependency, e.g. hyp generator tool requires completed triangulation
- Tools for zooming, moving, rotating
- Color selection tool
Euclidean fundamental domains
- Always have at most a single control point
- Control point can be moved around freely
- Voronoi triangulation and their limiting cases should be reachable
- Use Voronoi center for low symmetry groups
- Use fundamental domain corner for high symmetry groups
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