Rapidly create and plot in 2D/3D regular Euclidean tilings with Python.

Installation

For now clone the repository and install the necessary packages using the provided requirements.txt file

$ pip install -r requirements.txt

Quick example

Create a 100x100 hexagonal, diamond and triangular grids enclosed in a circle of radius 1:

import grids
import numpy as np


area_bounds = np.array([0, 0, 100, 100])

hex_grid = grids.gen_grid(area_bounds, r=1, n_sides=6)

dia_grid = grids.gen_grid(area_bounds, r=1, n_sides = 4)

tri_grid = grids.gen_grid(area_bounds, r=1, n_sides = 3)

Plot such grids:

from helpers import plot_grid

plot_grid.plot_grid_3d(hex_grid)
plot_grid.plot_grid_3d(dia_grid)
plot_grid.plot_grid_3d(tri_grid)

Hexagonal grid result

Diamond grid result

Triangular grid result

Performance comparison

SirGridsAlot is much faster than other libraries here is a comparison with the beautiful hexalattice library.

import grids
import numpy as np

from hexalattice.hexalattice import *
import time

nx = 1000
ny = 1000


start_lat = time.time()
hex_centers, _ = create_hex_grid(nx=nx,
                                 ny=ny,
                                 do_plot=True)
end_lat = time.time()

print(f'time hexalattice (s): {end_lat - start_lat}')
# time hexalattice (s): 71.37401556968689

area_bounds = np.array([0, 0, nx, ny])


start_sir = time.time()
grid = grids.gen_grid(area_bounds, r=1, n_sides=6)
end_sir = time.time()

print(f' time sirgridsalot (s): {end_sir - start_sir}')
# time sirgridsalot (s): 0.33207154273986816

print(f'time increase: {(end_lat - start_lat) / (end_sir - start_sir)}')
# time increase: 215

That is an impressive time increase (x215 factor) in creating a plottable grid (i.e. not generating only the cell centers).

This is possible thanks to an original approach for creating grids.

TODOs

• Create grids inside any generic closed loop
• Plot grids in matplotlib
• Export grids as shapefiles
• Support triangles
• Support grid operations (i.e. cut objects that intersect grids, calculate densities and so on)