It's all about the sevens. That is, six and one.
thank you.
Seven sets of axi; 4-fold 3,
....... 3, 4, 6 and 12 axi ---conceptually spun great-circles/tori--- are the 25, 4-fold primary axi.
......6, 10 and 15 left-skew 5-old symmetry ergo 31 of 62
......6, 10 and 15 right-skew 5-fold symmetry ergo 31 of 62
.................................................................................25 of 4-fold
..............................................................................Total = 87, with 14 of those being redundantly congruent to another
Total is seven setsof axi and,
87 primary subet of Euclidean { edges, vertexi and openings/surfaces/faces 87 minus the reduntant 14 ergo 73 primary Great Circles/Tori
Grand total is 73 primary subsets of more primary Seven.
Truncating 3-fold tetra{4}hedron gives 14 faces/openings/surfaces. So probably 4-fold also ergo 3 and 4-fold but no 5-fold, yet. At least not with some set of axi based on tetra{4]hedrons 6 Great Circles/Tori. These six great are the subdivision squares of cube via 12, since rendundant with its opposite diagonal, so then again were, back to primary 6 of tera{4}hedron that we find in 4-fold set , 3, 4, 6 and 12.
7 >>>> mutli-plication-by-{sub}-division set of 4-fold ,25 axi and,
31 left-skew set of symmetry
31 right-skew set of ymmetry
____________________________
Total 87 minus 14 = 73.....h,mm at first appearence I would say 73 is prime number. I dunno.....how many years have had that number in back, or side of my mind? And yes, more likely than not it complements nervous system in many if not all ways. But of course.
So, 3-fold '6'
......4-fold, 3, 4, '6' and 12
......5-fold 6, 10 and 15