Gombinoscope

Gombinoscope: Open-Source Software for Combinatorial Objects

Explore permutations, Young tableaux, and integer partitions with Gombinoscope, an open-source tool for generating, visualizing, manipulating, and analyzing combinatorial objects.

What is Gombinoscope?

Gombinoscope is an open-source interactive software application for exploring combinatorial objects such as permutations, Young tableaux, and integer partitions. Developed in Java, it provides a graphical user interface that allows users to generate, visualize, manipulate, and analyze these mathematical structures.

Some key features of Gombinoscope include:

• Generation algorithms for producing permutations, standard Young tableaux, shifted Young tableaux, and integer partitions according to desired parameters
• Visualization tools like matrix and cycle graph views for permutations, shape diagrams for tableaux and partitions
• Editing capabilities for modifying existing combinatorial objects manually
• Analysis features such as calculating metrics and properties like inversion number, major index, and size
• Exporting objects to formats like PDF and CSV for further study

By providing intuitive ways to work with fundamental combinatorial objects, Gombinoscope serves as an interactive reference and educational tool for students, teachers, and researchers in algebra, discrete mathematics, and computer science.

The software is written in Java using the Swing framework for the user interface. It is open-source and available free of charge under the GNU General Public License. Gombinoscope continues to be developed and maintained on GitHub by a small team of core contributors.

Gombinoscope Features

Official Links