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Free Ternary Diagram - Triangular Graph Paper

Download and print as many triangular grid template sheets as you need

Free Triangular Graph Paper
triangular graph paper

Printable Triangular Graph Paper

math graph paper

What is Triangular Graph Paper?

Triangular graph paper is used to graph the relationships between three variables on an equilateral triangle. This type of two-dimensional graph can be made when the sum of the three variables always adds up to a constant - usually 100% or 1. The charts produced from this method of graphing are generally referred to as "ternary plots" or "ternary diagrams". They are frequently used to plot the compositions of mixtures in physical chemistry, petrology, mineralogy, metallurgy and other physical sciences. Ternary plots are also used in genetics and game theory.

Plotting Example: Igneous Rocks

In petrology, plutonic igneous rocks are classified by the relative abundance of quartz (Q), plagioclase (P) and alkali feldspar (A) in their composition. A field classification chart is shown below. By this chart rocks that contain greater than 60% quartz are known as "quartz-rich granitoids", those that contain between 20% and 60% quartz are known as "granitoids". Those that contain less than 20% quartz and are rich in alkali feldspar are known as "syenitoids". Other rocks are either dioritoids, gabbroids or anorthosites.

ternary diagram plutonic igneous rocks

Two red points are plotted on the chart. One is at a composition of 50% quartz, 40% alkali feldspar and 10% plagioclase. That composition makes the rock a "granitoid". Another rock plots at 10% quartz, 40% alkali feldspar and 50% plagioclase, making the rock a "syenitoid".

Plotting Example: Sedimentary Rocks

In a study of the Devonian Shales in the Broadtop Synclinorium of the Appalachian Basin, the United States Geological Survey used ternary diagrams to graphically illustrate the compositional characteristics of the rock units.

ternary diagram sedimentary rock ratio

The plot aboves shows that most samples were dominated by detrital minerals, quartz and clay, rather than by carbonates.

About our Triangular Graph Paper

We have two types of triangular graph paper, one with black lines and one with blue. Choose the paper that will contrast with the pencil or pen color that you will be plotting with. These papers are provided as printable .pdf documents. They are designed to print on a standard sheet of 8 x 11 paper. They can be opened and printed with a .pdf document reader such as Adobe Reader.

triangular graph paper

Printable Triangular Graph Paper

math graph paper

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More about Triangular Graph Paper

[1] Free Printable Graph Paper, Our collection of twenty different graph paper designs that you can print and use for free. WaterproofPaper.com.

[2] Ternary Plot, Summary article about ternary plots, Wikipedia article accessed 4/10/2012.

[3] Flammability Diagram, An example of how a triangular plot can be used to illustrate the flammability of all possible mixtures of methane, oxygen and nitrogen. Wikipedia article accessed 4/10/2012.

[4] QFL Diagram, An example of how a triangular plot can be used to determine the provenance of sandstones based upon their quartz (Q), feldspar (F) and lithic fragment (L) composition. Wikipedia article, accessed 4/10/2012.

[5] Geochemical and Mineralogical Sampling of the Devonian Shales in the Broadtop Synclinorium, Appalachian Basin, in Virginia, West Virginia, Maryland, and Pennsylvania, ternary plots were used to graphically portray the mineralogical composition of Devonian Shale samples, accessed 8/15/2015.

[6] Ternary Diagram Basics, Short YouTube video that explains how to read and prepare ternary diagrams. EngineerClearly video, accessed 4/11/2012.

[7] Using Triangular Graph Paper, An interactive computer presentation that demonstrates how to plot points on triangular graph paper. University of Newcastle, School of Chemical Engineering and Advanced Materials website, accessed 4/12/2012.

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