Welcome to the flatsurf software suite!

The flatsurf software suite is a collection of mathematical software libraries to study translation surfaces and related objects. It consists of:

• e-antic for real embedded number fields,
• exact-real for exact real numbers,
• intervalxt for interval exchange transformations,
• flatsurf, surface-dynamics, sage-flatsurf for translation surfaces,
• veerer veering triangulations of surfaces and their flat structures, and
• vue-flatsurf, ipyvue-flatsurf for visualization.

Explore some features by taking the ➡️ tour of flatsurf!

Related projects

• curver calculations in the curve complex in Python
• edwards_algorithm computes generators of the Veech group of a translation surface in SageMath when the group is a lattice
• flipper computes the action of mapping classes on laminations on punctured surfaces in Python
• MapClass calculates the mapping class group orbits for a given finite group
• Origami provides calculations for origamis in GAP
• SnOrbitProject decides whether a genus two translation surface has a convex pattern
• Veering for working with transverse taut and veering ideal triangulations

See also the CompuTop software archive.

Contact

We welcome all contributions to the flatsurf project :)

If you find that something is not working correctly, or if you have an idea for an improvement, feel free to create an issue.

You can also reach out to us by email or join us on Zulip in the #flatsurf stream.

Installation

Please follow the instructions in our documentation to install the flatsurf suite on your system.