1) Why does the mass of electron repeat itself at exactly 206 times itself to become the short lived muon electron?

I've been trying various combinations of the the great circles ex--- 87 + 31 + 87 = 205 or, I also had found a 207 great circle planes but I forget how I got that 207 from adding those GrCP's.

Also I just found another adhoc way of arriving at the 206 number (7 * 25 ) + 31 = 206 and that is the first time I've ever been able to do that in my years of using mostly aspects of octa(8)hedron, tetra(4)hedron or icosa(20)hedron to arrive at the 206 number.

3, 4, 6, 6, 10, 12 and 15 is the 7 primary axis set ergo total 56 great circle planes

87 > 73 > 62,( 31Left + 31Right ) > 56( 31 + 25 ), 31( 5/phi-fold ) and 25( 4-fold ).

http://www.rwgrayprojects.com/synerg...gs/f3201b.html

2) His other question, was why is the alpha / fine structure constant 0.008 or to be more precise, 0.00 73.

I've always considered the 4-fold octahedron to be associated with the electron and the octahedron is closely related to the VE/cubo-octahedron ergo the 4-fold 3-GrCP"s of the total 4-fold's 25 GrCP's.

Keeping mind that the octahedron has a doubling affect ex it take 6 great circles of paper folded to create the 3-GrCPs that define and octahedron. See Fullers explanation in following link-- at 905.12 ---

http://synergeticscollaborative.org/...s09/p0500.html

206 / 25 = 8.24 so yes the 8.24 is closet we come to the 8 faces-- ergo 4 axi ---- of an octa(8)hedron or the VE's 8 triangle faces.

3) Alpha / Fine-Structure Constant( FSC ) is 1/137 aka:

0.00 72 99 27 00 72 99 27 00 i.e. a repeating/ recursive number...

..above rounded off to 0.0073....

..FSC relates electron( fermion ) coupling to/with photon( boson ).....

73( GrCP's ) / 10,000 = 0.0073....

..what does it mean to divide 73 GrCP's by 10,000?.....

We need to review Pi, Pi^'s and 87--73--62--56--31--25 great circle planes( GrCP's)

.... 4-fold and 5/phi-fold....via 15, 12, 10, 6, 6, 4 and 3 GrCP's...

Pi^4 = 97.40 90 91 03 40 02 43 72 36 44 0332688705

...I see this above as total of four--- X Y Z and Time ---as equanimity values of 24.35 22 7 ---

..i note that the 35 is rationally divisible by and the 22 / 7 gives the repeating set...

97.40 90 9 minus 87( GrCP's ) = 10. 40 90 9

..the icosa(20)hedron has a specific set of 10-GrCPs that define 12 penta(5)gons--see following link...

http://www.rwgrayprojects.com/synerg...gs/f5730a.html

97.40 90 9 minus 73( GrCP's ) = 24.4

97.40 90 9 divided by 4 = 24.35 22 7( equanimity values )

Pi^3 = 31.00 62 7

Pi^2 = 9.86 96 04

Pi = 3.14 15 92..3.1 longer than the diameter( two radii ) of defined/stated perfect( abstract ) circle....

http://www.rwgrayprojects.com/synerg...igs/f5511.html

Previously I gave this link to two versions of a set of 4 or 6 circles subdivided by 3 diameters being expressed with two variations of angles between those 3 diameters.

To be clear, the Pi ratio aspect is not affected by the number expressed as diameters and angles, so my intent here was to make visually clear of what it means to have a Pi curved surface value that is just .1 in length, longer then the visual 3 diameters in either set of 4 GrCP's or 6 GrCP's.

So i'm led to the following operation to explore possible Pi plane possibilities;

87 * 3.14( Pi ) = 273.31 85

73 * 3.14( Pi ) = 229.32 95

62 * 3.14( Pi ) = 194.77 85

56 * 3.14( Pi ) = 175.92 91

31 * 3.14( Pi ) = 97.38 93 5

25 * 3.14( Pi ) = 78.53 98

6 * 3.14( Pi ) = 18.84 95 52

4 * 3.14 9 Pi ) = 12.56 63 68

Ok so here above we have a list of individually and potentially significant sets of GrCP's, times Pi

Of course the latter 4 * Pi = 12 . 56 63 stands out to me like a sore thumb and that is partially because I believe that it appears so closely related to the 4-GrCP graphic in the link I gave above and below where in we have the six 36 degree angles of equililbrium associated with six equilateral triangles of the VE/cubo-octahedron.

Maybe this is not so extraordinary considering the speciality of the curved VE/cubo-octahedrons interior 4 bisecting surface planes being equal to the surface area of the VE( 12-around-1),

However, i also take note of the irrational side that is 56 and 63 i.e. 56 GrCP's is inclusive both of the 4-fold VE's 25 GrCP's, and the 5/phi-fold Ico's 31 GrCP's and;

the 63 is so close to two sets of the ico's 31 left and 31 right skew GrCP's as 62.

So a little more info to keep in mind with all of the above;

1) The 4-fold Vector Equilibrium/cubo-octahedron is aka the Operating System of Universe and has the following aspects;

24 chords

24 radii /radial vectors when contructed via paper models

14 faces-- 8 triangles 6 squares ---

25 Great Circles

The VE--- 12-around-1 ---- is an operationally transformative system;

http://www.rwgrayprojects.com/synergeti ... f6008.html

2) The icosa(20)hedron has is the maximum regular / symmetrical polyhedron of Universe and has following aspects;

30 chordal edges,

20 triangle faces,

12 overlapping pentagons( phi related ),

15 potential phi /golden rectangle associations,

Structurally stable system unlike the VE which is operationally transformative system.

The icosahedron is 12-around-none set of sphere's or sphericals.

R6

R6