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WOLFRAM|DEMONSTRATIONS PROJECT

Equilateral Triangles in 3D with Integer Coordinates

The number of equilateral triangles with integer coordinates in a cube of size
n
depends on the "minimal" equilateral triangles defined in such a cube and all the transformations of such triangles. This Demonstration shows the minimal triangles along with the total number of equilateral triangles for
n
= 1 to 5.
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