Difference between revisions of "TERNARY CONTOUR PLOT"

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(Created page with "<div style="font-size:30px">'''TERNARY CONTOUR PLOT'''</div> ==='''''Description:'''''=== '''A ternary plot or a triangle plot, is a barycentric plot on three variables which...")
 
 
(6 intermediate revisions by the same user not shown)
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'''A ternary plot or a triangle plot, is a barycentric plot on three variables which sum to a constant.<br>
 
'''A ternary plot or a triangle plot, is a barycentric plot on three variables which sum to a constant.<br>
 
'''It graphically depicts the ratios of the three variables as positions in an equilateral triangle.''''' <br>
 
'''It graphically depicts the ratios of the three variables as positions in an equilateral triangle.''''' <br>
*'''''These plots can be used for example to chart the response of an independent variable to changes in a mixture of three components.
+
*'''''Contour plots can be used for example to chart the response of an independent variable to changes in a mixture of three components.
*'''''A ternary plot only has 4 columns of data.
+
*'''''A ternary contour plot has 4 columns of data.
*'''''In a ternary plot, the values of the three variables a, b, and c must sum to some constant, K.<br>
+
*'''''In a ternary contour plot, the values of the three variables a, b, and c must sum to some constant, K.<br>
 
*'''''The constant is represented as 1.0 or 100%.<br>
 
*'''''The constant is represented as 1.0 or 100%.<br>
 
*'''''Every point on a ternary plot represents a different composition of the three components.
 
*'''''Every point on a ternary plot represents a different composition of the three components.
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{| class="wikitable" style="font-size:14px"
 
{| class="wikitable" style="font-size:14px"
 
|-
 
|-
| A|| '''B''' || '''C'''
+
| A|| '''B''' || '''C''' || '''D'''
 
|-
 
|-
|'''Sand''' || '''Silt''' || '''Clay'''  
+
|'''Type''' || '''Clay''' || '''Sand''' || '''Silt'''  
 
|-
 
|-
| 0.3 || 0.3 || 0.4  
+
| Loamy Sand || 0 || 100 || 0   
 
|-
 
|-
| 1 || 0 || 0  
+
| Loamy Sand || 10 || 90 || 0
 
|-
 
|-
| 0 || 1 || 1
+
| Loamy Sand || 0 || 90 || 10
 
|-
 
|-
| 0 || 0 || 1
+
| Sandy Clay || 35 || 65 || 0
 
|-
 
|-
| 0.2 || 0.5 || 0.3
+
| Sandy Clay || 35 || 45 || 20
 
|-
 
|-
|0.3 || 0.1 || 0.6
+
|Sandy Clay || 55 || 45 || 0  
 
|-
 
|-
|0.5 || 0.5 || 0
+
|Clay Loam || 40 || 45 || 15
 
|-
 
|-
|0.6 || 0.2 || 0.2
+
|Clay Loam || 40 || 20 || 40
 +
|-
 +
|Clay Loam || 28 || 20 || 52
 +
|-
 +
|Clay Loam || 28 || 45 || 27
 
|}
 
|}
  
'''TERNARYPLOT(A1:C9)'''<br><br/>
+
'''TERNARYPLOT(A1:D11)'''<br><br/>
[[File:Ternary.JPG]]<br><br/>
+
[[File:Tercont.JPG]]<br><br/>
 
[[GRAPHING|'''''GRAPHING MAIN PAGE''''']]
 
[[GRAPHING|'''''GRAPHING MAIN PAGE''''']]

Latest revision as of 12:17, 18 June 2020

TERNARY CONTOUR PLOT

Description:

A ternary plot or a triangle plot, is a barycentric plot on three variables which sum to a constant.
It graphically depicts the ratios of the three variables as positions in an equilateral triangle.

  • Contour plots can be used for example to chart the response of an independent variable to changes in a mixture of three components.
  • A ternary contour plot has 4 columns of data.
  • In a ternary contour plot, the values of the three variables a, b, and c must sum to some constant, K.
  • The constant is represented as 1.0 or 100%.
  • Every point on a ternary plot represents a different composition of the three components.

Example

A B C D
Type Clay Sand Silt
Loamy Sand 0 100 0
Loamy Sand 10 90 0
Loamy Sand 0 90 10
Sandy Clay 35 65 0
Sandy Clay 35 45 20
Sandy Clay 55 45 0
Clay Loam 40 45 15
Clay Loam 40 20 40
Clay Loam 28 20 52
Clay Loam 28 45 27

TERNARYPLOT(A1:D11)

Tercont.JPG

GRAPHING MAIN PAGE