Pythagoras 3D Interactive Geometry

by Vafiadis Georgios, Aggelopoulos Christos, Moulos Vrettos

Pythagoras in SourceForge

This is the official web site of the "Pythagoras" Project. The site and the program is under heavy construction! The GUI is almost finished, you can see a screenshot. By now is working on Windows XP, Windows 2000, and SuSE Linux. The code will be released soon.

'Pythagoras' is a dynamic Geometry Software, providing construction, evaluation, manipulation and visualization of geometric objects in 2D and 3D eucledian space.

It is an interactive geometry program which allows you to construct dynamic figures. It's possible to draw basic geometric objects such as points, lines, segments, loci and intersections beetween objects and many more. It also allows you to use geometric transformations such as rotation and translation.

The project will provide the below functionality:

• Construction of geometric objects in 2D and 3D space with a simple UI (points, lines, triangles, polygons, circles, and other basic geometric objects).
• Can describe in natural language (Greek, English) a construction.
• Geometric property checking confirms hypotheses based on Euclid's five postulates.
• Animation illustrates dynamic characteristics of figures.
• Configurable menus focus student activities.
• Objects used in construction can be hidden to reduce clutter.
• Paint-like color and line palettes.
• Figure annotation and measurement.
• Drawings and macros.
• Translation, dilation, and rotation of geometric objects around geometric centers or specified points, plus reflection, symmetry,and inverse. Cartesian and polar coordinates.
• Easily construct conics, including ellipses and hyperbolas.
• Exploration of advanced concepts in projective and hyperbolic geometry.
• Can display equations of geometric objects.
• Providing a smart agent, who is able to answer questions about geometry in general and particularly for the current construction.
• Ability to save the figures in multiple graphic formats.
• interactive web manipulation of the constructions.
• small script language for advance constructions.
• extensive online intelligent mathematical help based on user's actions.