pyramid_grid, a Fortran90 code which generates a grid of points over the interior of a pyramid in 3D.
The pyramid has a square base. As it rises, the square cross section smoothly shrinks to a point. Thus there are five vertices, of which four are on the square base, and one is the apex. There are 8 edges, consisting of the four edges of the square, and an edge joining each base vertex to the apex vertex.
The unit pyramid is the set of points (X,Y,Z) such that:
- ( 1 - Z ) <= X <= 1 - Z
- ( 1 - Z ) <= Y <= 1 - Z
0 <= Z <= 1.
The information on this web page is distributed under the MIT license.
pyramid_grid is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.
ball_grid, a Fortran90 code which computes a grid of points over the interior of a ball in 3D.
circle_arc_grid, a Fortran90 code which computes a grid of points over the length of a circular arc in 2D;
cube_grid, a Fortran90 code which computes a grid of points over the interior of a cube in 3D.
disk_grid, a Fortran90 code which computes a grid of points over the interior of a disk in 2D.
ellipse_grid, a Fortran90 code which computes a grid of points over the interior of an ellipse in 2D.
ellipsoid_grid, a Fortran90 code which computes grid points over the interior of an ellipsoid in 3D.
hypercube_grid, a Fortran90 code which computes a grid of points over the interior of a hypercube in M dimensions.
line_grid, a Fortran90 code which computes a grid of points over the interior of a line segment in 1D.
polygon_grid, a Fortran90 code which generates a grid of points over the interior of a polygon in 2D.
simplex_grid, a Fortran90 code which generates a regular grid of points over the interior of an arbitrary simplex in M dimensions.
sphere_cubed_grid, a Fortran90 code which uses the projection of a cube to create grids of points, lines, and quadrilaterals on the surface of the unit sphere in 3D.
sphere_fibonacci_grid, a Fortran90 code which uses a Fibonacci spiral to create a grid of points on the surface of the unit sphere in 3D.
sphere_grid, a Fortran90 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 Fortran90 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 Fortran90 code 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 Fortran90 code which computes a grid of points over the interior of a tetrahedron in 3D.
triangle_grid, a Fortran90 code which computes a grid of points over the interior of a triangle in 2D.
wedge_grid, a Fortran90 code which computes a grid of points over the interior of the unit wedge in 3D.