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For manipulating curves and measured laminations on surfaces and producing mapping tori.

Project description

PyPI version PyPI license Github build status

Flipper is a program for computing the action of mapping classes on laminations on punctured surfaces using ideal triangulation coordinates. It can decide the Nielsen–Thurston type of a given mapping class and, for pseudo-Anosov mapping classes, construct a layered, veering triangulation of their mapping torus, as described by Agol.

Flipper officially supports Python 3.6 – 3.9. It also runs on PyPy and Sage. To get the best performance, ensure that cypari (>= 2.4.0) or cypari2 is installed or run from it within Sage.


Flipper is available on PyPI, so it can be installed via:

$ pip install flipper --user --upgrade

Once installed, try it inside of Python:

>>> import flipper
>>> S = flipper.load('S_1_2')
>>> h = S('a.b.C')
>>> h.is_pseudo_anosov()
>>> print(h.dilatation())

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