Geometry of the Tetrahedron

Steven Dutch, Natural and Applied Sciences, University of Wisconsin - Green Bay
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Since the tetrahedron occurs so often in crystallography, it's useful to summarize its geometry.

In the diagram above left, 

The altitude of a tetrahedron = sqrt(2/3) = sqrt(6)/3 = 0.8165

The diagram above right illustrates how to find FX.

The centroid of a tetrahedron is one-fourth of the way from base to opposing vertex.

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Created 29 August 2002, Last Update 25 January 2012

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