**sphere_llq_grid**,
a Python code which
uses longitudes and latitudes to create grids of points, lines,
and quadrilaterals
over the surface of a sphere in 3D.

The computer code and data files described and made available on this web page are distributed under the MIT license

**sphere_llq_grid** is available in
a C version and
a C++ version and
a FORTRAN90 version and
a MATLAB version and
a Python version.

ball_grid, a python code which computes a grid of points over the interior of a ball in 3d.

circle_arc_grid, a python code which computes points equally spaced along a circular arc;

cube_grid, a python code which computes a grid of points over the interior of a cube in 3d.

disk_grid, a python code which computes a grid of points over the interior of a disk in 2d.

ellipse_grid, a python code which computes a grid of points over the interior of an ellipse in 2d.

ellipsoid_grid, a python code which computes a grid of points over the interior of an ellipsoid in 3d.

hypercube_grid, a python code which computes a grid of points over the interior of a hypercube in m dimensions.

line_grid, a python code which computes a grid of points over the interior of a line segment in 1d.

polygon_grid, a python code which generates a grid of points over the interior of a polygon in 2d.

pyramid_grid, a python code which computes a grid of points over the interior of the unit pyramid in 3d;

simplex_grid, a python code which generates a grid of points over the interior of a simplex in m dimensions.

sphere_fibonacci_grid, a python code which computes a grid of points using the fibonacci spiral over the surface of a sphere in 3d.

sphere_integrals, a python code which returns the exact value of the integral of any monomial over the surface of the unit sphere in 3d.

sphere_llt_grid, a python code which computes a grid of triangles bounded by latitude and longitude lines over the surface of a sphere in 3d.

sphere_monte_carlo, a python code which applies a monte carlo method to estimate the integral of a function on the surface of the unit sphere in 3d;

square_grid, a python code which computes a grid of points over the interior of a square in 2d.

tetrahedron_grid, a python code which computes a grid of points over the interior of a tetrahedron in 3d.

triangle_grid, a python code which computes a grid of points over the interior of a triangle in 2d.

wedge_grid, a python code which computes a grid of points over the interior of the unit wedge in 3d.

- sphere_llq_grid.py, the source code;
- sphere_llq_grid.sh, runs all the tests;
- sphere_llq_grid.txt, the output file.

- sphere_llq_grid.png, an image of an LLQ grid on the surface of a sphere in 3D.