- Synergetics coordinates
**Synergetics coordinates**have each unit as asimplex : atriangle ,tetrahedron ,pentachoron , etc., in fact a regular simplex, rather than likeCartesian coordinates which use arectangle orbox . Therefore synergetics coordinates are orderedn-tuple s in $R\_+^ncup\; \{0\}$ which is equivalent to $R^n-1$.For example, regular

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

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