An implementation of the Birman-Margalit-Menasco Theorem, to be used in a experimental, exploratory manner.
The curve complex is a simplicial complex composed of vertices representing equivalency classes of isotopic simple closed curves on a surface of fixed genus and of edges drawn between vertices if classes contain a disjoint representative. MICC is a tool designed to compute short distances between these disjoint representatives, based on an intuitive disk-with-handles represntation of a surface.
Installing through pip is recommended to use the programmatic interface:
$ pip install micc
Otherwise, the command line interface for MICC is available here.
Example useage of MICC:
from micc.curvepair import CurvePair top = [21,7,8,9,10,11,22,23,24,0,1,2,3,4,5,6,12,13,14,15,16,17,18,19,20] bottom = [9,10,11,12,13,14,15,1,2,3,4,5,16,17,18,19,20,21,22,23,24,0,6,7,8] test = CurvePair(top, bottom) print test.distance
Copyright 2014 Matt Morse and Paul Glenn.
MICC is licensed under the MIT License.