pyramid_integrals


pyramid_integrals, a Python code which returns the exact value of the integral of any monomial x^i y^j z^k over the interior of the unit pyramid in 3D.

The unit pyramid has a square base of area 4, and a height of 1. Specifically, the integration region is:

        - ( 1 - Z ) <= X <= 1 - Z
        - ( 1 - Z ) <= Y <= 1 - Z
                  0 <= Z <= 1.
      
The volume of the unit pyramid is 4/3.

Licensing:

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

Languages:

pyramid_integrals 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:

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triangle_integrals, a python code which returns the exact value of the integral of any monomial over the interior of the unit triangle in 2d.

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Source Code:


Last revised on 30 January 2020.