This group is similar in shape to the charge pi meson but centered on six tetrahedrons instead of one. The 72 matrices used to form this group are as follows.
| I |
(1) (2) (3) (4) |
(21) (41) (12) (42) (43) (14) (24) (34) |
(121) (321) (421) (141) (241) (341) (312) (412) (142) (242) (342) (343) |
(4121) (4321) (1421) (2421) (3421) (2141) (3141) (1241) (3241) (4312) (1412) (2412) (3412) (2142) (3142) (1242) (3242) (1343) (2343) |
(14121) (24121) (34121) (34321) (12141) (43141) (43241) (34312) (12142) (43142) (43242) (41343) (42343) |
(214121) (314121) (124121) (324121) (134321) (234321) (134312) (234312) |
(1214121) (4314121) (4324121) (4134321) (4234321) (4134312) (4234312) |
The sum of all the matrices used to generate this shape is
| 0 0 0 0 0 |
0 0 0 0 0 |
189 189 207 261 0 |
108 108 117 162 0 |
-225 -225 -252 -351 72 |
The sum of columns is (0 0 846 495 –1341)
The sum of products is 846*495 = 418770
The volume ratio is sqrt(418770/6) = 264.187
Th mass ratio of an uncharged pi meson to an electron is 264.143
A projection of this shape onto a plane follows.