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A GTK+ graphical and interactive geometry software for Linux, Windows and Mac OS X
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An Open Source, cross-platform dynamic mathematics software for Linux, Windows, Mac, Android, iOS
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A commercial and mathematically robust software for doing geometry on your Linux box
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A set of HEP-specific foundation and utility classes
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SINGULAR is a computer algebra system for polynomial computations.
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Giac/Xcas is a free computer algebra system for Windows, Mac OS X and Linux/Unix.
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vDEC is a discrete exterior calculus and geometry processing library.
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Kig is a program created for exploring geometric constructions.