TRIANGLES
Examples of Triangles

TRIANGLES is a dataset directory which contains definitions of some example triangles

Licensing:

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

Related Data and Programs:

FELIPPA, a C++ library which defines quadrature rules for lines, triangles, quadrilaterals, pyramids, wedges, tetrahedrons and hexahedrons.

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

GM_RULE, a C++ library which defines Grundmann-Moeller rules for quadrature over a triangle, tetrahedron, or general M-dimensional simplex.

NCC_TRIANGLE, a C++ library which defines Newton-Cotes Closed quadrature rules on a triangle.

NCO_TRIANGLE, a C++ library which defines Newton-Cotes Open quadrature rules on a triangle.

QUADRATURE_RULES_TRI, a dataset directory which contains quadrature rules for triangles, stored as a file of abscissas, a file of weights, and a file of vertices.

TRIANGLE_PROPERTIES, a FORTRAN90 program which computes properties of a given triangle.

Data Files:

TRIANGLE_CAP is an example of a "cap" triangle. This example has an area of 1.

• triangle_cap.txt, the node coordinates.

TRIANGLE_EQUILATERAL is an example of an equilateral triangle. This triangle has an area of sqrt(3)/4.

• triangle_equilateral.txt, the node coordinates.

TRIANGLE_NEEDLE is an example of a "needle" triangle. This example has an area of 1.

• triangle_needle.txt, the node coordinates.

TRIANGLE_REF is the reference triangle. This triangle has an area of 1/2.

• tet_ref.txt, the node coordinates.

TRIANGLE_RIGHT is an example of a right triangle. This example has an area of 6. Thanks to Adam for correcting my previous statement about the area!

• triangle_right.txt, the node coordinates.

TEX1 is an example of a triangle.

• tex1.txt, the node coordinates.

TEX2 is an example of a triangle.

• tex2.txt, the node coordinates.

TEX3 is an example of a triangle.

• tex3.txt, the node coordinates.

TEX4 is an example of a triangle.

• tex4.txt, the node coordinates.

TEX5 is an example of a triangle. This triangle is the same as TEX1, but with clockwise orientation.

• tex5.txt, the node coordinates.

TEX6 is an example of a triangle. This triangle is degenerate: 3 colinear points.

• tex6.txt, the node coordinates.

TEX7 is an example of a triangle. This triangle is degenerate: 2 points are identical.

• tex7.txt, the node coordinates.

TEX8 is an example of a triangle. This triangle is degenerate: 3 identical points.

• tex8.txt, the node coordinates.

You can go up one level to the DATASETS page.