Regina (program) explained

Regina
Author:	Ben Burton, David Letscher, Richard Rannard, Hyam Rubinstein
Developer:	Ben Burton, Ryan Budney, William Pettersson
Released:	December 2000
Latest Release Version:	7.3
Latest Release Date:	March, 2023
Operating System:	Linux, Unix-like, Mac, Microsoft Windows, iOS
Language:	English
Programming Language:	C++, Python
Genre:	Mathematical Software
License:	GPL

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

Notes and References

1. Web site: ORMS - Regina . 2022-10-11 . orms.mfo.de.