Portal:Mathematics/Featured picture/2012 07

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Picture of the month

Tetrahedral group 2.svg
Credit: Debivort

A tetrahedron can be placed in 12 distinct but equivalent positions by rotation alone. This tetrahedral symmetry is illustrated here in the cycle graph format, along with the 180° edge rotations (blue arrows) and 120° vertex rotations (reddish arrows) that permute the tetrahedron through the positions. The 12 rotations form one symmetry group of the figure.

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