CUBE_GRID
Grid of Points Inside a Cube in 3D

CUBE_GRID is a Python library which generates a grid of points over the interior of a cube (actually, a hexahedron) in 3D.

The grid is created inside a 3D shape which we may informally call a cube. Actually, it is a hexahedron (six-sided shape) determined by 8 user-specified vertices, given in a particular order that is suggested by the following list:

         000
         X00
         0Y0
         XY0
         00Z
         X0Z
         0YZ
         XYZ
       

For each dimension of the three spatial dimensions, the user may specify the number of subintervals into which the edges of the hexahedron are to be divided (at least 1, in each case). The total number of grid points may be determined by adding one to each of these three numbers and computing their product.

Licensing:

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

Languages:

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

Related Data and Programs:

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

CIRCLE_ARC_GRID, a Python library which computes a grid of points along a circle or circular arc in 2D.

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

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

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

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

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

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

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

SIMPLEX_GRID, a Python library which generates a regular grid of points over the interior of an arbitrary simplex in M dimensions.

SPHERE_FIBONACCI_GRID, a Python library 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 library 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 library which uses longitudes and latitudes to create grids of points, lines, and triangles on the surface of the unit sphere in 3D.

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

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

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

Source Code:

• cube_grid_count.m, count grid points over the interior of a cube in 3D.
• cube_grid_display.m, display points over the interior of a cube in 3D.
• cube_grid_points.m, grid points over the interior of a cube in 3D.
• r83col_print_part.py, prints part of an R83COL.
• r8mat_write.py, writes an R8MAT to a file.
• timestamp.py, prints the current YMDHMS date as a time stamp.

Examples and Tests:

• cube_grid_test.py, calls all the tests.
• cube_grid_test.sh, runs all the tests.
• cube_grid_test.txt, the output file.
• cube_grid_points.xyz, a sample set of grid points written to a file.
• cube_grid_points.png, a plot of a sample set of points.
• cube_grid_display.png, a demonstration of the output of cube_grid_display().

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