Triangular coordinates
Encyclopedia
The term triangular coordinates may refer to any of at least three related systems of coordinates in the Euclidean plane:
- a special case of barycentric coordinatesBarycentric coordinates (mathematics)In geometry, the barycentric coordinate system is a coordinate system in which the location of a point is specified as the center of mass, or barycenter, of masses placed at the vertices of a simplex . Barycentric coordinates are a form of homogeneous coordinates...
for a triangle, in which case it is known as a ternary plotTernary plotA ternary plot, ternary graph, triangle plot, simplex plot, or de Finetti diagram is a barycentric plot on three variables which sum to a constant. It graphically depicts the ratios of the three variables as positions in an equilateral triangle...
or areal coordinates, among other names, - trilinear coordinatesTrilinear coordinatesIn geometry, the trilinear coordinates of a point relative to a given triangle describe the relative distances from the three sides of the triangle. Trilinear coordinates are an example of homogeneous coordinates...
, in which the coordinates of a point in a triangle are its relative distances from the three sides, - synergetics coordinatesSynergetics coordinatesSynergetics coordinates is Clifford Nelson's attempt to describe, from another mathematical point of view, Buckminster Fuller's '60 degree coordinate system' for understanding nature...