Regina (program)
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]
 | |
| 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 |
| Written in | C++, Python |
| Operating system | Linux, Unix-like, Mac, Microsoft Windows, iOS |
| Available in | English |
| Type | Mathematical Software |
| License | GPL |
| Website | regina-normal |
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
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