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BRL-CAD is a powerful cross-platform constructive solid geometry solid modeling system that includes an interactive geometry editor, ray-tracing for rendering & geometric analyses, network distributed framebuffer support, image & signal-processing tools.
This is an application made for educational purposes. It demonstrates some basic algorithms of computational geometry in 2D space. You can create, edit and delete points and vectors and then choose them as the input for algorithms selectable from the menu. Import and export from a to XML files is also possible.
Many thanks to GeoSoft for providing open-source library G which was used for 2D graphics. You can find it here: http://geosoft.no/graphics/index.html