simplex_grid, a Python code which generates a grid of points over the interior of a simplex in M dimensions.
The computer code and data files described and made available on this web page are distributed under the MIT license
simplex_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 grid points that lie inside a 3d ellipsoid.
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_integrals, a python code which returns the exact value of the integral of any monomial over the interior of the unit simplex in m dimensions.
simplex_monte_carlo, a python code which uses the monte carlo method to estimate integrals over the interior of the unit simplex in m dimensions.
sphere_fibonacci_grid, a python code which uses a fibonacci spiral to create a grid of points on the surface of the unit sphere in 3d.
sphere_llq_grid, a python code which uses longitudes and latitudes to create grids of points, lines, and quadrilaterals on the surface of the unit 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.
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.