polynomials_on_simplices.geometry.mesh.basic_meshes.tet_meshes module

Geometries made up of tetrahedrons (polyhedron with four vertices).

general_tetrahedron_vertices(tet_vertices, edge_resolution)

Create the vertices of the a tetrahedron defined by its four vertices, subdivided into a number of smaller tetrahedrons.

Parameters:

• tet_vertices – The four vertices of the tetrahedron.
• edge_resolution – Number of vertices along each edge of the tetrahedron.

Returns:

n by 3 list of vertices.

rectangular_box_triangulation(width_resolution, height_resolution, depth_resolution)

Create a triangulation of a rectangular box (subdivision of the geometry into a set of tetrahedrons).

Parameters:

• width_resolution – Number of vertices along the width of the rectangular box.
• height_resolution – Number of vertices along the height of the rectangular box.
• depth_resolution – Number of vertices along the depth of the rectangular box.

Returns:

n by 4 list of tetrahedrons.

tetrahedron_triangulation(edge_resolution)

Create a triangulation of a tetrahedron (subdivision of the geometry into a set of tetrahedrons).

Parameters:edge_resolution – Number of vertices along each edge of the tetrahedron. Returns:n by 4 list of tetrahedrons.

tetrahedron_vertices(edge_resolution)

Create the vertices of the unit tetrahedron subdivided into a number of smaller tetrahedrons.

Parameters:edge_resolution – Number of vertices along each edge of the tetrahedron. Returns:n by 3 list of vertices.

unit_cube_vertices(width_resolution, height_resolution, depth_resolution)

Create the vertices of the unit cube.

Parameters:

• width_resolution – Number of vertices along the width of the unit cube.
• height_resolution – Number of vertices along the height of the unit cube.
• depth_resolution – Number of vertices along the depth of the unit cube.

Returns:

n by 3 list of vertices.