lattice

graph_tool.generation.lattice(shape, periodic=False)

Generate a N-dimensional square lattice.

Parameters:

shapelist or numpy.ndarray

List of sizes in each dimension.

periodicbool (optional, default: False)

If True, periodic boundary conditions will be used.

Returns:

lattice_graphGraph

The generated graph.

See also

triangulation

2D or 3D triangulation

random_graph

random graph generation

References

[lattice]

http://en.wikipedia.org/wiki/Square_lattice

Examples

>>> g = gt.lattice([10,10])
>>> pos = gt.sfdp_layout(g, cooling_step=0.95, epsilon=1e-2)
>>> gt.graph_draw(g, pos=pos, output="lattice.pdf")
<...>

>>> g = gt.lattice([10,20], periodic=True)
>>> pos = gt.sfdp_layout(g, cooling_step=0.95, epsilon=1e-2)
>>> gt.graph_draw(g, pos=pos, output="lattice_periodic.pdf")
<...>

>>> g = gt.lattice([10,10,10])
>>> pos = gt.sfdp_layout(g, cooling_step=0.95, epsilon=1e-2)
>>> gt.graph_draw(g, pos=pos, output="lattice_3d.pdf")
<...>

Left: 10x10 2D lattice. Middle: 10x20 2D periodic lattice (torus). Right: 10x10x10 3D lattice.