Triangle (EntityTopic, 17)

From Higher Dimensions Database

A triangle is a two-dimensional simplex.

Equations

  • The area of an equilateral triangle with side length l is:
√34 · l2
  • The area of an arbitrary triangle, where a and b are two sides of the triangle and C is the angle between them, is:
12 · ab · sin C

Dissection

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

Incidence matrix

Dual: Self-dual

#TXIDVaEaTypeName
0 Va= point ;
1 Ea2= digon ;
2 3a33= triangle ;

Usage as facets


Simplices
triangletetrahedronpyrochoronpyroteronpyropeton


Notable Dishapes
Flat: trianglesquarepentagonhexagonoctagondecagon
Curved: circle


3. 11
Square
4. 11
Triangle
5. 3
Sphere
List of tapertopes

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