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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