"Cubed Sphere" Grid

**SPHERE_CUBED_GRID**
is a MATLAB library which
uses the projection of a sphere 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 GNU LGPL license.

**SPHERE_CUBED_GRID** is available in
a C version and
a C++ version and
a FORTRAN77 version and
a FORTRAN90 version and
a MATLAB version and
a Python version.

BALL_GRID, a MATLAB library which computes a grid of points over the interior of a ball in 3D.

CIRCLE_ARC_GRID, a MATLAB program which computes points equally spaced along a circular arc;

CUBE_GRID, a MATLAB library which computes a grid of points over the interior of a cube in 3D.

DISK_GRID, a MATLAB library which computes a grid of points over the interior of a disk in 2D.

ELLIPSE_GRID, a MATLAB library which computes a grid of points over the interior of an ellipse in 2D.

ELLIPSOID_GRID, a MATLAB library which computes a grid of points over the interior of an ellipsoid in 3D.

HYPERCUBE_GRID, a MATLAB library which computes a grid of points over the interior of a hypercube in M dimensions.

LINE_GRID, a MATLAB library which computes a grid of points over the interior of a line segment in 1D.

POLYGON_GRID, a MATLAB library which generates a grid of points over the interior of a polygon in 2D.

PYRAMID_GRID, a MATLAB library which computes a grid of points over the interior of the unit pyramid in 3D;

SIMPLEX_GRID, a MATLAB library which generates a grid of points over the interior of a simplex in M dimensions.

SPHERE_FIBONACCI_GRID, a MATLAB library which computes a grid of points using the Fibonacci spiral over the surface of a sphere in 3D.

SPHERE_GRID, a MATLAB library which computes a variety of grids of points over the surface of a sphere in 3D.

SPHERE_LLQ_GRID, a MATLAB library which computes a grid of quadrilaterals bounded by latitude and longitude lines over the surface of a sphere in 3D.

SPHERE_LLT_GRID, a MATLAB library which computes a grid of triangles bounded by latitude and longitude lines over the surface of a sphere in 3D.

SQUARE_GRID, a MATLAB library which computes a grid of points over the interior of a square in 2D.

TETRAHEDRON_GRID, a MATLAB library which computes a grid of points over the interior of a tetrahedron in 3D.

TRIANGLE_GRID, a MATLAB library which computes a grid of points over the interior of a triangle in 2D.

WEDGE_GRID, a MATLAB library which computes a grid of points over the interior of the unit wedge in 3D.

- r8mat_print.m, prints a R8MAT.
- r8mat_print_some.m, prints some of an R8MAT.
- sphere_cubed_grid_ijk_to_xyz.m, converts cubed sphere I,J,K coordinates to X,Y,Z coordinates.
- sphere_cubed_grid_ijk_to_xyz_test.m
- sphere_cubed_grid_line_count.m, counts the lines in a cubed sphere grid.
- sphere_cubed_grid_line_count_test.m
- sphere_cubed_grid_lines.m, computes the lines in a cubed sphere grid.
- sphere_cubed_grid_lines_test.m
- sphere_cubed_grid_lines_display.m, displays the lines in a cubed sphere grid.
- sphere_cubed_grid_lines_display_test.m
- sphere_cubed_grid_point_count.m, counts the points in a cubed sphere grid.
- sphere_cubed_grid_point_count_test.m
- sphere_cubed_grid_points.m, computes the points in a cubed sphere grid.
- sphere_cubed_grid_points_test.m.
- sphere_cubed_grid_points_display.m, displays the points in a cubed sphere grid.
- sphere_cubed_grid_points_display_test.m
- sphere_cubed_grid_points_face.m, computes points on one face of a cubed sphere grid.
- sphere_cubed_grid_points_face_test.m

- sphere_cubed_grid_test.m, calls all the tests;
- sphere_cubed_grid_test_output.txt, the output file.
- sphere_cubed_grid_lines.png, a plot of the lines in a cubed sphere grid.
- sphere_cubed_grid_points_f10.png, a plot of the points in a cubed sphere grid.

You can go up one level to the MATLAB source codes.