How Does Translating Equilateral Triangle Graph Coordinates Work?

Click For Summary
SUMMARY

The discussion centers on translating equilateral triangle graph coordinates into Cartesian coordinates for statistical analysis. The method involves using the formulas X=1+x-y and Y=z*SQRT3, where x, y, and z represent the proportions of three variables that sum to one. The conversation references triangular graph paper as a tool for visualizing these coordinates. A link to a Wikipedia article on ternary plots is provided for further reading.

PREREQUISITES
  • Understanding of equilateral triangle geometry
  • Familiarity with Cartesian coordinate systems
  • Basic knowledge of statistical concepts and variables
  • Ability to interpret mathematical formulas
NEXT STEPS
  • Research ternary plots and their applications in statistics
  • Explore the use of triangular graph paper for data visualization
  • Learn about the mathematical derivation of coordinate transformations
  • Investigate software tools for creating ternary plots, such as R or Python libraries
USEFUL FOR

Statisticians, data analysts, educators in mathematics, and anyone interested in visualizing multi-variable data using ternary plots.

nobahar
Messages
482
Reaction score
2
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.
 
Physics news on Phys.org
Thanks!:-p
 

Similar threads

Replies
17
Views
3K
Replies
20
Views
4K
  • · Replies 21 ·
Replies
21
Views
4K
  • · Replies 5 ·
Replies
5
Views
5K
Replies
3
Views
4K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
Replies
5
Views
2K
Replies
6
Views
5K