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Topic: Which coordinates in the tetrahedron diagram?
Replies: 1   Last Post: Jun 24, 2013 5:39 PM

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 IV Posts: 356 Registered: 9/1/11
Which coordinates in the tetrahedron diagram?
Posted: Jun 24, 2013 3:13 PM

Hello,

can someone help? I'm not a mathematician.

1)
For the representation of three components, triangle diagrams (equilateral
triangle) are used, for example in geology and chemistry. I found that there
are two different types of such triangular diagrams: Sometimes the
coordinates are parallels to the sides, and another time perpendicular to
the sides. I couldn't found references in the literature. Is my assumption
correct?

2)
For the presentation of four components, tetrahedral diagrams (regular
tetrahedron) is used, for example in geology and chemistry.
a) What are the formulas for converting from Cartesian coordinates to
tetrahedral coordinates?
b) Is there also the possibility to draw the coordinates along the side
parallels (face parallels) of the tetrahedron?
c) Are there similar to the tetrahedral diagram higher-dimensional diagrams
in three dimensions, perhaps the other Platonic solids?

Thank you.

Date Subject Author
6/24/13 IV
6/24/13 Ken.Pledger@vuw.ac.nz