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Regina Calculation Engine
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| Various algebraic structures | |
| Angle structures on triangulations | |
| Census building for triangulations of various dimensions | |
| Triangulations of 2-manifolds | |
| Triangulations of 3-manifolds | |
| Overall structure of the calculation engine | |
| Polytope vertex enumeration algorithms | |
| File reading and writing | |
| Reading and writing foreign file formats | |
| Template code to work with triangulations of arbitrary dimension | |
| Standard 3-manifolds whose structures are well-understood | |
| Underlying mathematical gruntwork | |
| Packet administration and some basic packet types | |
| Progress reports during long calculations | |
| Splitting surfaces in triangulations | |
| Standard triangulations and subcomplexes of triangulations whose structures are well-understood | |
| Normal surfaces in 3-manifold triangulations | |