Bigger

Bigger is a program for computing big mapping classes and their actions on non-compact laminations via ideal triangulation coordinates.

Bigger officially supports Python 3.5 – 3.8 and PyPy3.

An arc on the ladder surface

Quickstart

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

$ pip install bigger --user --upgrade

Once installed, try it inside of Python:

>>> import bigger
>>> S = bigger.load.ladder()  # The infinite-genus two-ended surface

# Let's make a finite curve
>>> c = S.triangulation({(0, 5): 1, (0, 6): 1})
>>> c
Lamination (0, 5): 1, (0, 6): 1

# Let's make an infinite lamination
>>> a = S.triangulation(lambda e: 2 if e[1] in {2, 3, 4, 6} else 0)
>>> a
Infinitely supported lamination (0, 0): 0, (0, 1): 0, (0, 2): 2, (0, 3): 2, (0, 4): 2, (0, 5): 0, (0, 6): 2, (0, 7): 0, (0, 8): 0, (-1, 0): 0 ...

# Let's make the picture at the top
>>> b = S('b{n >= 0}.a[2].a.a')(a)  # Apply some mapping classes
# The edges that we are interested in
>>> edges = [(i, j) for i in range(-1, 2) for j in range(2, 9)] + [(i, 0) for i in range(2)]
>>> b.draw(edges, layout=S, w=800)

The User Guide

This part of the documentation, which is mostly prose, begins with some background information about bigger, then focuses on step-by-step instructions for getting the most out of bigger.

The API Documentation

If you are looking for information on a specific function, class, or method, this part of the documentation is for you.

The Contributor Guide

If you want to contribute to the project, this part of the documentation is for you.

There are no more guides. You are now guideless. Good luck.

Indices and tables