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Regina is a software package for 3-manifold topologists. Its main strengths lie in normal surface theory and the combinatorial structures of 3-manifold triangulations. Beyond this, Regina can perform a range of other algebraic, geometric, topological and combinatorial tasks; see the full feature set later in this introduction.
The best way to become familiar with Regina is simply to play around with it. Regina ships with several example files, including a number of censuses of 3-manifold triangulations. Most of these examples can be accessed through the → menu when running Regina.
For an excellent starting point, try → → , which illustrates most of the structures that Regina can work with. The users' handbook (which you are reading now) also includes a number of sample Python