Regina (program)

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Regina

Original author(s)| Ben Burton, David Letscher, Richard Rannard, Hyam Rubinstein
Developer(s)| Ben Burton, Ryan Budney, William Pettersson
Initial release| December 2000
Stable release|

7.1 / Sep, 2022

Repository| github.com/regina-normal/regina
Written in| C++, Python
Operating system| Linux, Unix-like, Mac, Microsoft Windows, iOS
Available in| English
Type| Mathematical Software
License| GPL
Website| regina-normal.github.io

Regina is a suite of mathematical software for 3-manifold topologists. It focuses upon the study of 3-manifold triangulations and includes support for normal surfaces and angle structures.[1]

## Features

* Regina implements a variant of Rubinstein's 3-sphere recognition algorithm. This is an algorithm that determines whether or not a triangulated 3-manifold is homeomorphic to the 3-sphere.
* Regina further implements the connect-sum decomposition. This will decompose a triangulated 3-manifold into a connect-sum of triangulated prime 3-manifolds.
* Homology and Poincare duality for 3-manifolds, including the torsion linking form.
* Includes portions of the SnapPea kernel for some geometric calculations.
* Has both a GUI and Python interface.

## See also

* Computational topology

## References

1. ↑ "ORMS - Regina". https://orms.mfo.de/project@terms=normal+surface+theory&id=336.html.

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