pyramid_grid

pyramid_grid, a C++ 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.
       

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

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.

Related Data and Programs:

pyramid_grid_test

cpp_grid, a C++ code which generates a regular grid of points inside a variety of regions in one, two, three or many dimensions.

Source Code:

• pyramid_grid.cpp, the source code.
• pyramid_grid.sh, compiles the source code.
• pyramid_grid.hpp, the include file.