sphere_fibonacci_grid, a Python code which constructs a grid of points using the Fibonacci spiral 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 GNU LGPL license.
sphere_fibonacci_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_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_llq_grid, a python code which computes a grid of quadrilaterals bounded by latitude and longitude lines over the surface of a sphere in 3d.
sphere_llt_grid, a python code which uses longitudes and latitudes to create grids of points, lines, and triangles on the surface of the unit 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.