Specialized software is the key tool to help the mind doing research in mathematics. At the same time mathematical software bridges the gap between the diverse fields of mathematics and their application areas. See also my github page.
polymake is a software system for convex polytopes, simplicial complexes, and more. Co-authored with Ewgenij Gawrilow (now TomTom) and actively supported by many people [BibTeX-Entry]. If you are interested to see how polymake can be used, see the documentation or this extra page with references. This is a long term project first released in 1997.
This is a new parallel implementation of the down-flip reverse search algorithm for enumerating the (regular) triangulations of a point set. Co-authored with Skip Jordan and Lars Kastner. Our article Parallel enumeration of triangulations explains the method and reports on experimental results. Release of version 1.2 on 25 August 2020.
In order to run the above: clone the entire subdirectories from github, use activate . and instantiate in Julia's REPL mode, while that is your working directory. Then you are good to go.