bigger 0.2.0

For studying big mapping classes

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.

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
>>> a = S.triangulation({(0, 5): -1})  # An arc
>>> a
Lamination (0, 5): -1

>>> b = S.triangulation(lambda e: 2 if e[1] in {2, 3, 4, 6} else 0)  # An infinite arc
>>> b
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 ...

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

External Links

• PyPI

• ReadTheDocs

• GitHub

• Travis

• AppVeyor

• Azure