Triangle (EntityTopic, 17)

From Hi.gher. Space

Revision as of 16:17, 28 October 2008 by Hayate (Talk | contribs)


A triangle is a two-dimensional simplex.

The triangle is important as all polygons can be defined as the union of a set of triangles, and all polytopes in greater than two dimensions can be defined as the hypervolume bounded by the union of a set of triangles.

Equations

  • The area of an arbitrary triangle is:
absin(C)2-1
  • where a and b are two sides of the triangle and C is the angle between them.

Segmentation

The equilateral triangle of side 1 may be segmented into 3× triangle with sides 1, 2×3-2-1 and angles 2×30°, 120°.

Use

Triangular faces are found in these trishapes on FGwiki:

Triangular segments are found in these dishapes on FGwiki:


Notable Dishapes
Flat: trianglesquarepentagonhexagonoctagondecagon
Curved: circle

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