How Does Translating Equilateral Triangle Graph Coordinates Work?

AI Thread Summary
Equilateral triangles can represent three variables where the coordinates (x, y, z) sum to 1, with each vertex corresponding to one variable. To convert these coordinates into Cartesian coordinates, the formulas X = 1 + x - y and Y = z * √3 are used. This translation allows for easier plotting and analysis in a two-dimensional space. The discussion references triangular graph paper as a tool for visualizing this concept. Understanding this translation is essential for statistical comparisons involving three variables.
nobahar
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Hello!
In a book I was reading it spoke (if a book can speak) of Equilateral Triangles when used for comparing three variables (the one where the x=0, y=0 and z=0 refer to the left, right and bottom of the triangle respectively, then a point is plotted depending on what the point being plotted consists of, whereby x+y+z=1).
It states that you can buy triangular graph paper or the x,y,z coordinates can be translated into Cartesian (X,Y) coordinates by using X=1+x-y and Y=z*SQRT3.
Was just wondering how this 'translation' works, I can elaborate on the triangle graph if needed, it's from statistics if that helps.
Thanks as always.
 
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Thanks!:-p
 
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