Static PI gives harmonic relationship between area and circumference where area is circumference divided by 36*x.

New March 2016: All this turns out to be that if we have circumference: 2*3.14125*r = area:(3.14125*r**2)/x then x=r/2..and this applies for a 123-polygon.

Thanks to #math @ irc.freenode.net for letting us know this..If we multiply something called "Residues modulo small integers" for 123 we get 1944 though. Which equals 1/(144/6**7)

Also 1944/2=972 → "grid" hours. (864 hours * s6 (1.125)) (That is Synergetics Constant 6 from Buckminster Fuller, we don't know if the other ones are usable or not as unfortunately Bruce might not have read Fuller's Synergetics)

3.14125 is 2513/800, with 799.9...it would be true pi. Besides if you add, subtract and divide it you get my birthday!

What makes 2513 so special? Nothing probably. But the sum of its divisors (σ(n)) is 2880.

In terms of gravity the reciprocal of 2513 is 69.80555555555556 or light speed harmonic 0.01432550736171906, which is in equation 3,.. 14343138422.964794 almost exactly 6941.1104779304005 when subtracted anti-matter.

True full gravity would just give 3.125. I.e. 69.4444...*36=2500 → 2500/800=3.125 but maybe this one is useful as well. Maybe we should look for further constants.

2513/32 give an alternative Schuman Resonance: 78.53125. More complex: 1/((pi/3.15)*2**7)

2513/64 == 39.265625 → *3=117.796875, diff 0.054255.

Normal Schuman Resonance would give 2500 → 3.125, so do we really have two different SR frequencies?

The difference would be 0.040625...and 2513/175 == 14.36 → 0.04 difference? Connection? Probably not unless we investigate 175.

2513 is a number only divisible by prime 7 to give prime 359. If we use this we get 3.15 as a constant..

175*4=700. Some of the math (or all of it but some of it more than others) may be useless.

In any case that would make this: (Synergetics Constants)

Constant *Minutes of day/100 (864)
1.0198244513277528 881.1283259471784
1.040041911525952 898.5962115584225
1.0606601717798212 916.4103884177655
1.0816871777305563 934.5777215592007
1.10313103253733 953.1052121122532
1.125 972.0
1.147302507743722 991.2693666905758
1.170047150466696 1010.9207380032254
1.193242693252299 1030.9616869699864
1.2168980749468759 1051.3999367541007
1.2410224116044963 1072.243363626285
1.265625 1093.5

Out constants
3.141252714.04 (256*e^3*log^2(2)*log(3) almost, either log is wrong or e or something else.)
3.1252700' ((24 sqrt(6) e^3 log(3))/(log^2(2)) slightly off..)
3.152721.6 ( ← 13608/5)


2721.6/2700 =~ 1008.



Natural Cycles?

Integration of 2.9,

((1/(n*5/2)+(1/(n*2/5)))*n), Medium Cycle:

2.9 → 5.8 → 8.7 → 11.6 → 14.5 → 17.4 → 20.3 → 23.2 → 26.1 → 29

Integration of 0.16,

(1/(n*5/2))/(1/(n*2/5)), Small Cycle:

0.16 → 0.32 → 0.48 → 0.64 → 0.8 → 0.96 → 1.12 → 1.28 → 1.44 → 1.6

Integration of 7.25,

((1/(n*5/2)+(1/(n*2/5))))/(1/(n*5/2))

7.25 → 14.5 → 21.75 → 29 → 36.25 → 43.5 → 50.75 → 58 → 65.25 → 72.5, Big Cycle


This makes "building blocks" for endless speculative calculations:

2.9+0.48+21.75 = 25.13 → /6 = 4.1883333333.. → /2/2 = 1.0470833333333334 → *6 = 6.2825 → /2 = 3.14125, this is not exactly an approximation of PI but if use it as PI with radius 72 and calculate circumference:

2*3.14125*72= 452.34, then area → z*72**2=16284.24 then → /36 = back at 452.34

..but the same applies for PI though this always with less (finite) fractions if there is any use in that. Since Bucky say we always work with finite systems why not consider this one as PI?

If we have 0.902777777777777 * 3.14125 we get 2.8358506944444444, some kind of harmonic maybe. Equal..to 32669/3456.

((1/32669)*6**10=1850.8731825277785.....3456/6/4=144.



A full check is needed on this:

Tested with 72,108,144,288,432 and 216 and the ratio between area and circumference seems harmonic:

(r=radius): r=36 → 18 (36/2), r=72 → 36, r=108 → 54 (36*1.5), r=216 → 108 (36*3), r=288 → 144 (36*4).:

Even thought it's now as above proven that this stuff applies to a 123 sided polygon we don't really have to be taking about polygons here though.

But what we are talking about?

More Cycles.

(sqrt(((n/3)*(n*5)/2)*0.16))/n, Alternate small cycle.

0.365148 → 0.730297 → 1.09545 → 1.46059 → 1.82574 → 2.19089 → 2.55604 → 2.92119 → 3.28634 → 3.65148 (This one looks almost like a circle i.e. 0-360 degrees.)

(sqrt(((n/3)*(n*5)/2)*2.9))/n, Alternate Medium Cycle.

1.55456 → 3.10913 → 4.66369 → 6.21825 → 7.77282 → 9.32738 → 10.8819 → 12.4365 → 13.9911 → 15.5456..

Index.

(C)2015 (C)2016 Krister F Lilleland.