Modules / topology

Computational Topology

Knots, surfaces and complexes, homology, duality, Morse theory and persistent homology, computed and shown in 3D.

Version: 0.3.0 in progress
Follows: Follows Edelsbrunner & Harer, Computational Topology, Chapters I–VIII
Level: Postgraduate, research
Needs: Lab4IQM 1.7 or newer, Blender 4.2.0 or newer
Commands: 31

Download lab4iqm_topology-0.3.0.zip Read the guide (PDF)

Try these

Each line is a command from the module's own examples; type it in the Lab4IQM console after import topology.

I.1 Union-find: components of growing ballsunionfind("twocircles(60, 0.03)", r=0.12); view2d()

I.2 A Jordan curve cut into trianglespolygon(comb); view2d()

I.2 Winding numbers of the pentagrampolygon(star, at=((0, 0), (0, 0.6), (0.95, 0.9))); view2d()

I.3 The trefoil knotknot(trefoil)

I.3 The figure-eight knot and its diagramknot(figure8, diagram=true); view2d()

I.3 A torus knot T(3,5)knot(torus, p=3, q=5)

I.3 The Hopf linklink(hopf)

I.3 The Borromean ringslink(borromean)

Commands

help(topology) in the console lists them with their options.

unionfindpolygonknotlinktuttesurfaceintersectionssimplifycomplexripscechdelaunayalphacollapsehomologyspernercohomologypoincarepairingalexanderhessiancriticalmorsesmalereebpersistenceelderextendedspectralvineyardbottleneckcrofton