Proton

This group consists of the following 347 tetrahedrons.

(1)

(2)

(3)

(4)

(21)

(31)

(41)

(12)

(32)

(42)

(13)

(23)

(43)

(14)

(24)

(34)

(121)

(321)

(421)

(131)

(231)

(431)

(141)

(241)

(341)

(312)

(412)

(132)

(232)

(432)

(142)

(242)

(342)

(213)

(413)

(123)

(423)

(143)

(243)

(343)

(214)

(314)

(124)

(324)

(134)

(234)

(3121)

(4121)

(1321)

(2321)

(4321)

(1421)
(2421)

(3421)
(2131)

(4131)

(1231)
(4231)

(1431)

(2431)
(3431)

(2141)

(3141)

(1241)

(3241)

(1341)
(2341)
(1312)

(2312)
(4312)

(1412)

(2412)
(3412)
(2132)

(4132)

(1232)

(4232)

(1432)
(2432)
(3432)

(2142)

(3142)

(1242)

(3242)

(1342)
(2342)

(1213)

(3213)
(4213)

(1413)

(2413)
(3413)
(3123)
(4123)

(1423)
(2423)

(3423)
(2143)

(3143)

(1243)
(3243)

(1343)

(2343)

(1214)

(3214)

(4214)
(1314)

(2314)
(4314)
(3124)

(4124)
(1324)
(2324)

(4324)
(2134)

(4134)
(1234)
(4234)

(13121)
(23121)
(43121)
(14121)
(24121)
(34121)
(21321)

(12321)
(42321)

(24321)
(34321)
(21421)
(12421)
(32421)

(23421)
(12131)
(32131)
(42131)
(14131)
(24131)
(34131)
(31231)
(24231)
(34231)
(31431)

(32431)
(13431)
(23431)
(12141)

(32141)
(42141)
(13141)
(23141)
(43141)
(41241)

(23241)
(43241)
(41341)
(42341)
(21312)
(41312)

(12312)
(14312)
(34312)
(21412)
(31412)

(12412)
(13412)
(12132)

(32132)

(14132)
(34132)
(31232)
(41232)
(14232)
(24232)
(34232)
(31432)
(32432)
(13432)
(23432)
(12142)
(42142)
(13142)
(43142)
(31242)
(41242)
(13242)
(23242)
(43242)
(41342)
(42342)

(31213)

(41213)

(13213)
(14213)
(24213)
(21413)

(31413)
(12413)
13413)
(23123)
(14123)
(24123)
(21423)
(12423)
(32423)
(23423)
(12143)
(42143)
(13143)

(43143)

(41243)
(23243)
(43243)
(21343)
(41343)
(12343)
(42343)
(31214)

(41214)

(13214)
(23214)
(14214)
(21314)

(41314)

(12314)
(14314)
(13124)
(23124)
(24124)
(21324)
(12324)
(42324)

(23424)
(12134)
(32134)
(34134)
(31234)
(34234)

(213121)
(123121)

(214121)
(124121)

(121321)
(321321)

(242321)
(342321)

(121421)

(232421)
(432421)

(312131)
(132131)

(314131)

(134131)
(131231)

(131431)
(431431)
(232431)

(423431)
(412141)

(142141)
(413141)

(143141)
(141241)
(241241)

(141341)

(121312)
(141312)
(341312)

(121412)
(131412)
(431412)
(412412)

(312132)

(132132)
(232132)

(231232)

(324232)
(234232)
131432)
(232432)
(413432)

(412142)
(242142)

(241242)

(423242)
(243242)

(242342)
(342342)
(131213)
(231213)
(141213)
(241213)
(213213)

(121413)
(421413)
(131413)

(121423)
(412423)
(232423)
(423423)

(413143)

(143143)
(343143)

(423243)
(343243)

(341343)

(342343)
(131214)
(231214)
(141214)
(241214)

(121314)
(321314)
(141314)
(341314)

(314314)

(124124)
(121324)
(312324)
(242324)
(342324)

(234234)

(1213121)

(1214121)

(2321321)

(1312131)

(1314131)

(3431431)

(1412141)
(2412141)

(1413141)

(1412412)

(1312132)
(2312132)

(2324232)

(2412142)

(1241242)

(2423242)
(3423242)

(1213213)

(2423423)

(1413143)
(3413143)

(3423243)

(2342343)

(1314314)

The sum of all the matrices used to generate this shape is

402
478
478
478
0

478
402
478
478
0

478
478
402
478
0

478
478
478
402
0

-1489
-1489
-1489
-1489
347

The sum of columns is (1836 1836 1836 1836 –7344)
The sum of products is 6*3370896 = 20225376
The volume ratio is sqrt(20225376/6) = 1836
The mass ratio of the proton to an electron is 1836.152