A few years ago we looked at the triality of Sparling's twistor theory. Now the quark hexagon, formed from a length six path on the cube, defines the same twistor triality. Note that there are $9$ edges in the full diagram; one for each element of a CKM matrix.

This links each generation to one copy of $(x,t)$, namely spacetime coordinates in a three time picture.

8 years ago

And those six squares are like a Nascent Cube: not quite 3d, but trying!

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