Skip to main content

Flat surfaces in SageMath

Project description



sage-flatsurf is a Python package for working with flat surfaces in SageMath.

We aim for sage-flatsurf to support the investigation of geometric, algebraic and dynamical questions related to flat surfaces. By flat surface we mean a surface modeled on the plane with monodromy given by similarities of the plane, though current efforts are focused on translation surfaces and half-translation surfaces.

Please consult our documentation to see some of the capabilities of sage-flatsurf.

sage-flatsurf is free software, released under the GPL v2 (or later).

We welcome any help to improve sage-flatsurf. If you would like to help, have ideas for improvements, or if you need any assistance in using sage-flatsurf, please don't hesitate to contact us.


See our documentation for detailed installation instructions.

Run with Binder in the Cloud

You can try out sage-flatsurf in an environment online; unfortunately it might take a long time for this environment to start: Binder

Developing sage-flatsurf

Please consult our Developer's Guide to build sage-flaturf from source and to run our test suite.


The main authors and current maintainers of sage-flatsurf are:

  • Vincent Delecroix (Bordeaux)
  • W. Patrick Hooper (City College of New York and CUNY Graduate Center)
  • Julian Rüth

We welcome others to contribute.

How to Cite This Project

If you have used this project, please cite us as described on our zenodo website.


  • sage-flatsurf was started during a thematic semester at ICERM.
  • Vincent Delecroix's contribution to the project has been supported by OpenDreamKit, Horizon 2020 European Research Infrastructures project #676541.
  • W. Patrick Hooper's contribution to the project has been supported by the National Science Foundation under Grant Number DMS-1500965. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
  • Julian Rüth's contributions to this project have been supported by the Simons Foundation Investigator grant of Alex Eskin.

Project details

Download files

Download the file for your platform. If you're not sure which to choose, learn more about installing packages.

Source Distribution

sage_flatsurf-0.5.2.tar.gz (339.3 kB view hashes)

Uploaded source

Built Distribution

sage_flatsurf-0.5.2-py3-none-any.whl (381.4 kB view hashes)

Uploaded py3

Supported by

AWS AWS Cloud computing and Security Sponsor Datadog Datadog Monitoring Fastly Fastly CDN Google Google Download Analytics Microsoft Microsoft PSF Sponsor Pingdom Pingdom Monitoring Sentry Sentry Error logging StatusPage StatusPage Status page