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.
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 Poincaré 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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