This group of tetrahedrons starts with the group for the mu lepton. All paths of two steps or less from the last two steps of the mu lepton group and all but six of the three step paths that come from two directions are included. This produces 435 different tetrahedrons. The matrices in this shape are as follows. The list includes only one permutation of the first three numbers. The ones with an * occur 3 times and the others occur 6 times.
| (1*) |
(21) |
(121*) (321) (421) |
(3121*) (4121*) (1321) (2321*) (4321) (1421) (3421) |
(13121) (43121*) (14121) (34121*) (21321) (41321) (12321*) (42321*) (14321) (24321) (34321) (21421) (31421) (13421) (23421) |
(213121) (413121) (143121) (343121*) (214121) (314121) (134121) (121321) (321321) (421321) (141321) (241321) (341321) (412321*) (142321*) (242321) (214321) (314321) (124321) (324321) (134321) (234321) (321421) (421421) (131421) (231421) (431421) (213421) (413421) (123421) (423421) |
(1213121*) (3213121) (1413121) (3413121) (1214121*) (3214121) (4214121) (1314121) (2314121) (4314121) (2421321) (1412321*) (1214321) (1314321) (2324321) (2134321) (4134321) (1234321) (4234321) (1213421) |
(23214121) (12134321) |
The sum of all the matrices used to generate this shape is
| 477 531 531 459 0 |
531 477 531 459 0 |
531 531 477 459 0 |
2574 2574 2574 2397 0 |
-3678 -3678 -3878 -3339 435 |
The sum of columns is (1998 1998 1998 10119 -13938)
The sum of products is 3*3992004+3*20217762 = 72629298
The volume ratio is sqrt(72629298/6) = 3479.207
The mass ratio of a tau lepton to an electron is 3477.6
A projection of this shape onto a plane follows.
A projection of this shape from the other side follows.
