triangle, a MATLAB code which computes properties of a triangle, including angles, area, centroid, circumcircle, edge lengths, incircle, orientation, orthocenter, quality, Cartesian to barycentric coordinates, barycentric coordinates to Cartesian. A point is treated as a (1,2) array, a list of points as an (n,2) array, and a triangle as a (3,2) array.


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


triangle 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:


ellipse, a MATLAB code which carries out geometric calculations for ellipses and ellipsoids, including area, distance to a point, eccentricity, perimeter, points along the perimeter, random sampling, conversion between standard and quadratic forms.

geometry, a MATLAB code which performs geometric calculations in 2, 3 and n dimensional space.

hypersphere, a MATLAB code 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, a MATLAB code 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.

quadrilateral, a MATLAB code which carries out geometric calculations on quadrilaterals, including angles, area, distances, nearest point, point containment, perimeter, and random generation.

tetrahedron, a MATLAB code which computes properties of a given tetrahedron.

triangle_analyze, a MATLAB code which reads a triangle from a file, and then reports various properties.

triangle_interpolate, a MATLAB code which shows how vertex data can be interpolated at any point in the interior of a triangle.

triangles, a dataset directory which contains examples of triangles;

Source Code:

Last revised on 12 January 2021.