# Synergetics coordinates

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Synergetics coordinates

Synergetics coordinates have each unit as a simplex: a triangle, tetrahedron, pentachoron, etc., in fact a regular simplex, rather than like Cartesian coordinates which use a rectangle or box. Therefore synergetics coordinates are ordered n-tuples in $R_+^ncup \left\{0\right\}$ which is equivalent to $R^n-1$.

For example, regular triangular coordinates are of the form $\left(x,y,z\right)$ such that $x,y,z$ are equal to or greater than 0.

Similarly, regular tetrahedral coordinates are of the form $\left(w,x,y,z\right)$ such that $w,x,y,z$ are equal to or greater than 0.

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