tetrahedron_grid


tetrahedron_grid, a MATLAB code which generates a grid of points over the interior of a tetrahedron in 3D.

Starting with any 4 points A, B, C and D that define a tetrahedron, we can divide each edge of the tetrahedron into N subintervals, and create a tetrahedral grid. This defines ((N+1)*(N+2)*(N+3))/6 points that lie on the intersections of grid lines.

The library includes a routine which allows the user to pick an arbitrary tetrahedron and an arbitrary number of subdivisions. It then returns the tetrahedral gridpoints defined by that choice.

Licensing:

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

Languages:

tetrahedron_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 MATLAB code which computes a grid of points over the interior of a ball in 3d.

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

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

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

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

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

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

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

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

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

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

sphere_fibonacci_grid, a MATLAB code which uses a fibonacci spiral to create a grid of points on the surface of the unit sphere in 3d.

sphere_grid, a MATLAB code which provides a number of ways of generating grids of points, or of points and lines, or of points and lines and faces, on the surface of the unit sphere in 3d.

sphere_llq_grid, a MATLAB code which uses longitudes and latitudes to create grids of points, lines, and quadrilaterals on the surface of the unit sphere in 3d.

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

tetrahedron_grid_test

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

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

Source Code:


Last revised on 03 April 2019.