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| | E8 HyperDiamond Lattice |
 | | The E8 HyperDiamond lattice is used to construct the HyperDiamond Feynman Checkerboard model. |
 | | ±1, ±i, ±j, ±k, ±e, ±ie, ±je, ±ke, (±1±ie±je±ke)/2, (±e±i±j±k)/2, and the last two with cyclical permutations of {i,j,k,e,ie,je,ke} in the order (e, i, j, ie, ke, k, je). |
 | | The cyclical permutation (e, i, j, ie, ke, k, je) preserves the integral domain E8, but is not an automorphism of the octonions since it takes the associative triad {i,j,k} into the anti-associative triad {j,ie,je}. |
| www.valdostamuseum.org /hamsmith/E8.html (1058 words) |
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