No, I don’t actually know what it means. Yes, I have the words to accompany it. No, they don’t help me understand it. Yes, I understand the words individually. No, I don’t comprehend the words in the sentences given. Yes, I posted this because it’s shiny.
Symmetry is a foundational concept in several sub-disciplines of mathematics, particularly geometry and abstract algebra. The rotation symmetry group of the tetrahedron (shown here) associates the 12 different orientations of a tetrahedron with two kinds of spatial rotation that rearrange those orientations: a 120° rotation around each of the 4 vertices (reddish arrows), and 180° rotation through opposite edges (blue arrows). Diagrams illustrating the symmetries of a mathematical object in this format are called cycle graphs.
Oh, and yes – it is something I picked up from Wikipedia – possibly the greatest resource in the known universe.
[tags]Tetrahedron rotation symmetry group, Shiny picture with mathematical explanation[/tags]