**hexagon_monte_carlo**,
a Python code which
applies a Monte Carlo method to estimate the integral of a function
over the interior of a hexagon.

The code currently only looks at the special case of the unit hexagon, although this can be easily extended to more general sizes, shapes, and orientations.

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

**hexagon_monte_carlo** is available in
a MATLAB version and
an Octave version and
a Python version.

annulus_monte_carlo a Python code which uses the Monte Carlo method to estimate the integral of a function over the interior of a circular annulus in 2D.

ball_monte_carlo, a Python code which applies a Monte Carlo method to estimate integrals of a function over the interior of the unit ball in 3D;

circle_monte_carlo, a Python code which uses the Monte Carlo method to estimate integrals over the circumference of the unit circle in 2D.

cube_monte_carlo, a Python code which applies a Monte Carlo method to estimate the integral of a function over the interior of the unit cube in 3D;

disk_monte_carlo, a Python code which uses the Monte Carlo method to estimate integrals over the interior of the general disk in 2D.

disk01_monte_carlo, a Python code which uses the Monte Carlo method to estimate integrals over the interior of the unit disk in 2D.

disk01_quarter_monte_carlo, a Python code which applies a Monte Carlo method to estimate the integral of a function over the interior of the unit quarter disk in 2D;

ellipse_monte_carlo a Python code which uses the Monte Carlo method to estimate the value of integrals over the interior of an ellipse in 2D.

ellipsoid_monte_carlo a Python code which uses the Monte Carlo method to estimate the value of integrals over the interior of an ellipsoid in M dimensions.

hyperball_monte_carlo, a Python code which applies a Monte Carlo method to estimate the integral of a function over the interior of the unit hyperball in M dimensions;

hypercube_monte_carlo, a Python code which applies a Monte Carlo method to estimate the integral of a function over the interior of the unit hypercube in M dimensions;

hypersphere_monte_carlo, a Python code which applies a Monte Carlo method to estimate the integral of a function on the surface of the unit hypersphere in M dimensions;

line_monte_carlo, a Python code which uses the Monte Carlo method to estimate integrals over the length of the unit line in 1D.

polygon_monte_carlo, a Python code which uses the Monte Carlo method to estimate integrals over the interior of a polygon in 2D.

pyramid_monte_carlo, a Python code which applies a Monte Carlo method to estimate integrals of a function over the interior of the unit pyramid in 3D;

simplex_monte_carlo, a Python code which uses the Monte Carlo method to estimate integrals over the interior of the unit simplex in M dimensions.

sphere_monte_carlo, a Python code which applies a Monte Carlo method to estimate the integral of a function on the surface of the unit sphere in 3D;

sphere_triangle_monte_carlo, a Python code which applies a Monte Carlo method to estimate the integral of a function over a spherical triangle on the surface of the unit sphere in 3D;

square_monte_carlo, a Python code which applies a Monte Carlo method to estimate the integral of a function over the interior of the unit square in 2D.

tetrahedron_monte_carlo, a Python code which uses the Monte Carlo method to estimate integrals over the interior of the unit tetrahedron in 3D.

triangle_monte_carlo, a Python code which uses the Monte Carlo method to estimate integrals over the interior of a triangle in 2D.

triangle01_monte_carlo, a Python code which uses the Monte Carlo method to estimate integrals over the interior of the unit triangle in 2D.

wedge_monte_carlo, a Python code which uses the Monte Carlo method to estimate integrals over the interior of the unit wedge in 3D.

- hexagon_monte_carlo.py, the source code.
- hexagon_monte_carlo.sh, runs all the tests.
- hexagon_monte_carlo.txt, the output file.