Compute Properties of a Tetrahedron

TETRAHEDRON_PROPERTIES is a FORTRAN90 program which computes properties including the centroid, circumsphere, dihedral angles, edge lengths, face angles, face areas, insphere, quality, solid angles, and volume of a tetrahedron in 3D.


tetrahedron_properties filename
where filename contains the vertex coordinates.


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


TETRAHEDRON_PROPERTIES is available in a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

GEOMETRY, a FORTRAN90 library which performs geometric calculations in 2, 3 and N dimensional space.

HYPERSPHERE_PROPERTIES, a FORTRAN90 library which carries out various operations for an M-dimensional hypersphere, including converting between Cartesian and spherical coordinates, stereographic projection, sampling the surface of the sphere, and computing the surface area and volume.

POLYGON_PROPERTIES, a FORTRAN90 library which computes properties of an arbitrary polygon in the plane, defined by a sequence of vertices, including interior angles, area, centroid, containment of a point, convexity, diameter, distance to a point, inradius, lattice area, nearest point in set, outradius, uniform sampling.

TET_MESH_VOLUMES, a FORTRAN90 program which computes the volume of each tetrahedron in a tet mesh;

TETRAHEDRONS, a dataset directory which contains examples of tetrahedrons;

TRIANGLE_PROPERTIES, a FORTRAN90 program which computes properties of a triangle whose vertex coordinates are read from a file.

Source Code:

Examples and Tests:

List of Routines:

You can go up one level to the FORTRAN90 source codes.

Last revised on 08 July 2009.