Simplex: Difference between revisions
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imported>Neil Strickland No edit summary |
imported>Neil Strickland No edit summary |
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# A 2-simplex is a triangle. | # A 2-simplex is a triangle. | ||
# A 3-simplex is a tetrahedron. | # A 3-simplex is a tetrahedron. | ||
# The standard n-simplex is the set | # The standard n-simplex is the set <math>\Delta_n</math> of points <math>x=(x_0,\dotsc,x_n)\in [0,1]^n</math> for which <math>\sum_ix_i=1</math>. | ||
Revision as of 16:49, 7 February 2007
A simplex is a mathematical object, analogous a triangle. Every simplex has a dimension, which is a nonnegative integer; an n-simplex means a simplex of dimension n.
- A 0-simplex is just a point.
- A 1-simplex is an interval.
- A 2-simplex is a triangle.
- A 3-simplex is a tetrahedron.
- The standard n-simplex is the set of points for which .
![{\displaystyle x=(x_{0},\dotsc ,x_{n})\in [0,1]^{n}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/167764793d0d0a583274486036717fbdfc4e7f75)
