Triangle (EntityTopic, 17)
From Hi.gher. Space
(Difference between revisions)
m |
m (add) |
||
| Line 1: | Line 1: | ||
| - | {{Shape|Triangle|''No image''|2|3, 3|0|{3}|N/A|[[Line (shape)|E]]T|1<sup>1</sup> x<sup>y</sup>|[[Line (shape)|Line]], length 1|N/A|''Self-dual''|3|N/A|N/A|pure}} | + | {{Shape|Triangle|''No image''|2|3, 3|0|{3}|N/A|[[Line (shape)|E]]T|1<sup>1</sup> x<sup>y</sup>|[[Line (shape)|Line]], length 1|N/A|''Self-dual''|3|N/A|N/A|pure|<sup>[[Sine values|S<sub>4</sub>]]</sup>⁄π ≈ 0.2757|[[Sine values|S<sub>1</sub>]]+S<sub>1</sub><sup>3</sup>S<sub>5</sub><sup>-2</sup> ≈ 0.2774}} |
A '''triangle''' is a two-dimensional [[simplex]]. | A '''triangle''' is a two-dimensional [[simplex]]. | ||
Revision as of 15:19, 16 September 2007
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.
Geometry
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.
| Notable Dishapes | |
| Flat: | triangle • square • pentagon • hexagon • octagon • decagon |
| Curved: | circle |
