### M Theory Lesson 165

In his newest preon model, Carl Brannen (whose diagram I have filched) uses a total of 24 objects, including six squares as shown. In other words, think of the six squares of a permutohedron, given by the squares of a truncated octahedron. These ternary geometry type squares were rotated by 45 degrees from the squares used to specify the usual dual, namely a cube.

## 4 Comments:

(Slightly off-topic) Your comment on Communist Variance March 6 was hilarious! Someone needs to pick on the self-pitying and navel-gazing. Why didn't they show their faces at Marina Del Rey? While some of us flew a long distance to be there, the DM/DE conference was only a subway ride away from Pasadena.

Kea, Bad news: I'm dumping the new preon model because it gets messy when I try to get multiplicities right.

Good news: I figured out how to mix generations and quarks and should have a Koide mass formula for quarks, if it exists.

Excellent, Carl. Don't worry. A mass formula for baryons would be just as nice as one for the quarks.

Kea, yes, I think the new model should be good for the baryons too.

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