#7 Wave-Pattern-Powering Review

r6r6 · #1 24-08-2014, 01:14 PM

First a reminder, that, I view #7 as having a terminal/STOP here, ending-like characteristic/function/aspect or personality, and have given many examples that imply this over the past few years.

Below, I'm getting back to basics of where #7 occurs in Pi^ powering and Pi^powering 'renormalized', I take note of a progessively/smooth wave occuring with #7 begnning at Pi^3 and ending at Pi^8/8 and that it is ended with a double #7, double #8 and double #00 and 21 which is equal too, 3*7.

In non-powered Pi, #7, occurs at 14th position.
...13th position if considering irrational side only...

Pi^2 #7 occurs in 29 position and 62 at the 31 position. In Pi^3 in the #7 occurs in the 7th position and 7th position in Pi^4 / 4.
....5th position when only considering irrational side only.....
In Pi^5 / 5 #7 occurs in prime 11th position. In Pi^6/6 #7 occurs in 16th position.
At Pi^7 / 7 we have a return to the 14th position. and we take note of #31 occuring in the 31st position.
At Pi^8/8 #7 occurs at 9th and 10th position. At Pi^9/9 #7 occurs at 22 and 23 position.
At Pi^10/10 #7 occurs at the 8th position.

Primes in bold black, #4, 12,24 and 66( lines-of-relationship ) red, 62 green, initial 8 and double 88's green, double 00 italics, 31 in blue, 14 in purple and the 10th or 11th Fibonnacci number 55 in orange.

Pi = 3.14 15 92 65 35 89 79 32 38 46 26 43 38 32 795
Pi^2 = 9.86 96 04 40 10 89 35 86 18 83 44 90 99 98 762

Pi^3 = 31.00 62 76 68 02 99 82 01 75 47 63 15 06 71 01
Pi^4 /4 = 24.35 22 72 758 50 06 09 30 91 10 08 31 72 176
Pi^5 / 5 = 61.20 39 36 95 70 56 29 06 52 54 82 62 00 86 87
Pi^6 / 6 = 160.23 15 32 26 25 50 73 95 05 03 65 73 94 207.
Pi^7 / 7 = 431.47 04 61 11 09 70 29 53 59 17 23 56 15 31 5
Pi^8 / 8 = 1186.06 63 77 00 88 21 75 08 91 07 19 37 98 8

Pi^9 / 9 = 3312.12 21 48 16 06 90 18 51 67 71 13 77 91 5
Pi^10 / 10 = 9364.80 47 47 60 83 02 09 73 71 66 90 18 49 19
Pi^11 / 11 = 26745.81 98 15 80 82 36 10 05 17 78 56 37 01.
Pi^12 / 12 = 77022.43 17 93 61 45 15 51 85 48 26 41 96 54
Pi^13 / 13 = 223359.79 00 47 17 56 46 53 75 84 32 30 37 52
Pi^14 / 14 = 651583.65 58 39 59 66 55 01 45 98 22 21 9734.
Pi^15 / 15 = 1910543.06 46 25 86 65 63 55 85 88 13 144 4
Pi^16 / 16 = 5627013.80 26 83 32 99 72 94 56 73 01 42 44 8
Pi^17 / 17 = 16637915.50 50 90 17 95 97 30 76 80 08 14 04
Pi^18 / 18 = 49365689.05 95 14 63 22 59 45 79 77 55 36 32
Pi^19 / 19 = 6146924418.39 98 86 60 86 99 46 83 07 37 47 9
Pi^20 / 20 = 438497839.80 41 34 97 37 37 61 27 79 68 51 9
Pi^21 / 21 = 1311982468.70 82 51 86 04 87 03 46 99 55 75
Pi^ 22 / 22 = 3934363826.90 82 42 79 64 77 78 90 02 12 29
Pi^23 / 23 = 11822769864.93 98 23 04 61 29 5794 87 96 8
Pi^ 24 / 24 = 35594729996.41 20 00 92 44 53 75 02 41 41 3
Pi^25 / 25 = 107351176572.71 05 81 96 03 97 12 49 7582
Pi^26 / 26 = 324282372764.46 95 02 56 32 03 82 00 82 95
Pi^27 / 27 = 981031152559.39 37 12 11 51 86 71 95 95 42
Pi^28 / 28 = 2971928823901.05 75 80 73 70 61 63 34 438
Pi^29 / 29 = 9014638389119.34 03 78 03 00 83 90 39 87
Pi^30 / 30 = 27376311013424.98 60 52 88 34 52 84 78 02
Pi^31 / 31 = 83230855705321.24 22 71 09 79 78 78 23 77

Above, at Pi^31/31 I take note, that, #7 occurs at 5th position when only considering irrational side and that is the same as Pi^3 and Pi^4/4.

24 chordal edges of the 4-fold cubo{6}-octa{8}hedron
...25 derived great circles.....

31 great circles of the 5/phi-fold icosa{20}hedron.
...30 chordal edges....

I also want to note that, in Pi^7 a #7 occurs on irrational side as 47, yet I make the 2nd #7 larger to show the progressivly smooth wave pattern of 7. SO in essence, that approximately smooth wave pattern is not really there, however, I wold have the reader consider two addtional items;

1) the hepta{7}gon produces the first internal irrational angles of the first 10 polygons, and
2) in Synergetics, Fuller consider the possiblity, that, #47 could be basisi for all randomness or chaos of Universe.

See 1238.51 in the following link for more on #47

http://www.rwgrayprojects.com/synergetics/s12/p3830.html#1238.51

r6

r6r6 · #2 24-08-2014, 02:54 PM

So we hear the phrase, 'were all one', but rarely do we hear the reality explanation of that.

Gravity is what connects all mass of our finite, occupied space Universe.

What is not shown in this thread is the hept{7}sine-wave pattern but I do have it posted elsewhere in S.Foums.

My hopes in this thread is to find and show any patterns that may occur that are significant to understand our were all one type of connections.

Each and ever number has a specific aspect, or function or personality or whatever, and I've fell into this specific numerical exploration more and more, once I saw that Pi^3--- cubic volumetrics ex XYZ ---and saw the 31 on the rational side, set apart from the irrational sides double 00's and then a repeat of 31 as 62, and the #7 capping it off as if to say to me, go no further, truncate transcendental Pi here for a the fundamental rational understanding of Universe, via the 31 great circles of the icosa{20}hedron as the great geodesic arcs of space, that, enclose the 24 shorter chords of 'time' and the reality we can observe directly.

The icosa{20}hedron is inherentl phi associated and of those 31 great circles, there exists a specific set of 10, and those 10 define 5 overlapping sets of the cubo{6}-octa{8}hedron, ergo, 5 overlappiing sets of the 24 chords of 'time' and our observed reality.

So Fibonnacci is closely relate to phi, and 55 is the 10th Fibonnacci number if do not count the initial number zero. Zero{ 0 } is considered to be a non-counting number so that is not a big stretch to not count it. imho

Some of the explorations with #55 led me to find, that on most of the standard peroidic tables, we find #55 falling about midway between left and right sides of the chart, almost like a inter-mediator.

See below atomic mass 55 falls between manganese{ Mn 54.9 } and Iron{ 55.8 } Manganese has 25 protons.

Iron being a very stable element and very close to the 56 primary great circles when we add the cubo{6}-octa{8}hedrons 25 plus icosa{20}hedrons 31 we get 56.

Click on any of the elments in this table as this is one of the best dynamic periodic tables on the web.

http://www.ptable.com/

So my intuition here above, was that 55 functions like and intemediator i.e. in a way connector of th first 92, if not 110 elements, since 55 is half of 110.

Why only the first 92, or 100 or 110? I dunno. I believe we have discovered approximately 115 elements so far, and based on my explorations, I guess that there exists a symmetry i.e. 92 twice is 184 total possible elements of Universe. I dunno.

3*55 = 165 so dont really see any obvious connections there either.

r6

r6r6 · #3 30-08-2014, 02:54 AM

Pi is the circumference of a circle being 3.141592 times longer than than the diameter of the same circle.

I believe this 3 can be associated with the edge values of a triangle and if we divided Pi evenly by three we get a value-- 1.04 71 97 55 11 96 59 77 46 15 42 14 46 10 93 2 --- that, we can then assign to an equalateral triangle with 3 equal value edge lengths, ergo, a Pi based triangle perhaps?

1.04 71 97 55 11 96 59 77 46 15 42 14 46 10 93 2
..4 great circle planes define the Operating System of Universe, the cubo{6}-octa{8}hedron aka Vector Equilibirum..
..the first prime #7 appears at 4th overall position and 2nd #7 at 7th overall position...
..55--- 11 * 5 ---is the 10th Fibonnacci number if we do not count the non-counting number zero{ 0 }..
..there is potential for 15 golden mean rectangles in 5{phi}-fold icosa{20}hedron..
..there 10 great circle planes associated with 5-fold icosa{20}hedron, that define 5 overlapping sets of 4-fold cubo(6}-octa{8}hedra..
..47 is the first prime number after 45 degrees of trigonometric functioning.....

Pi = 3.14 15 92 65 35 89 79 32 38 46 26 43 38 32 79 5
..the cubo{6}-octa{8}hedron{ asymmetrical } has 14 surface planes-- 8 triangles{ 4+4 } and 6 squares{ 3+3 } --...
..prime #7 appears in overall 14th position....

Pi^2 = 9.86 96 0440 10 89 35 86 18 83 44 90 99 98 762
..see 762 at end and similar in Pi^31 below...
..0440 is binomial involving non-counting zero see Pi^12 below....

Pi^3 = 31.00 62 76 68 02 99 82 01 75 47 63 15 06 71 01
..3rd powering^ is method for finding a 3Dimensional value...
..prime #7 appears at 7th overall position.....
..31 primary, great circle planes of icosa{20}hedron....
..66 is lines-of-relationship between 12 vertexes of icosa{20}hedron and/or the cubo-octahedron...
..the double zeros{ 00 } help to isolate 31 away from irrational side
...20, 10 and 31 all icosahedral associational numbers...
...31 stays prime for its first 6-- hexagonal symmetry in 2D ---iterations of itself....
..30 chords of 5-fold icosahedron evenly divisible by 6....
..I associate 31 great planes with 3D, gravitaional space...

Pi^4 /4 = 24.35 22 72 75 85 00 60 93 09 11 00 83 17 21 76
..again prime #7 appears in overall 7th position...
...see Pi^31 below for simliar .24 22 7.....
..24 chords define the cubo-octahedron and I associate with 'time'...

Pi^5 / 5 = 61.20 39 36 95 70 56 29 06 52 54 82 62 00 86 87
...61 codons leads to 20 amino-acids.....
..00 62 appears again and there is an initial set of 56--- 25 + 31 ---primary great planes....
..25 great planes of the 4-fold cubo-octahedron{ asymmetrical }...
...Lisa Randall believes gravity associated with 5th dimensional branes...

Pi^6 / 6 = 160.23 15 32 26 25 50 73 95 05 03 65 73 94 20 7
..there is cosmic set of 73 non-redundant, primary great circles, appears twice....
..prime #7 occurs at 16th and 26th overall positions...
..92 is evenly divisible 23( above ) and 92 occurs early on--- within first overall 7 positions ---of Pi....

Pi^7 / 7 = 431.47 04 61 11 09 70 29 53 59 17 23 56 15 31 5
....31 occurs at 31st position above....
..ther exist initial non-chiral/skew set of 56-- 8*7 -- primary great circles...

Pi^8 / 8 = 1186.06 63 77 00 88 21 75 08 91 07 19 37 98 8
Pi^9 / 9 = 3312.12 21 48 16 06 90 18 51 67 71 13 77 91 5
Pi^10 / 10 = 9364.80 47 47 60 83 02 09 73 71 66 90 18 49 19
Pi^11 / 11 = 26745.81 98 15 80 82 36 10 05 17 78 56 37 01

Pi^12 / 12 = 77022.43 17 93 61 45 1551 85 48 26 41 96 54
...1551 is binomial, see Pi^ 2 above....

Pi^13 / 13 = 223359.79 00 47 17 56 46 53 75 84 32 30 37 52

Pi^14 / 14 = 651583.65 58 39 59 66 55 01 45 98 22 21 97 34
......Wolframs GUTOE is based on 14 dimensions...double 55's and 66 lines-of-relationship..
...14 occurs at 14th position on irrational side only positions....

Pi^15 / 15 = 1910543.06 46 25 86 65 63 55 85 88 13 14 44
...no #7 but we do have a 55, 62 and or 25..icosahedron has 15 golden rectangles/great circles....
Pi^16 / 16 = 5627013.80 26 83 32 99 72 94 56 73 01 42 44 8
Pi^17 / 17 = 16637915.50 50 90 17 95 97 30 76 8008 14 04
Pi^18 / 18 = 49365689.05 95 14 63 22 59 45 79 77 55 36 32
...14 appears in overall 14th position...

Pi^19 / 19 = 6146924418.39 98 86 60 86 99 46 83 07 37 47 9

Pi^20 / 20 = 438497839.80 41 34 97 37 37 61 27 79 68 51 9
Pi^21 / 21 = 1311982468.70 82 51 86 04 87 03 46 99 55 75
Pi^ 22 / 22 = 3934363826.90 82 42 79 64 77 78 90 02 12 29

Pi^23 / 23 = 11822769864.93 98 23 04 61 29 57 94 87 96 8
Pi^ 24 / 24 = 35594729996.41 20 00 92 44 53 75 02 41 41 3
...4, 12, 20 and double 00's lead to 2nd occurrence of 92...
..in if we discount non-counting zeros in Pi^24 then 92 is in 16th position and that is position of it divisor 23 in Pi^23 just above...
..#7 appears in 24th overall position....

Pi^25 / 25 = 107351176572.71 05 81 96 03 97 12 49 75 82
Pi^26 / 26 = 324282372764.46 95 02 56 32 03 82 00 82 95
...no #7 on irrational side...total 8 #2's.....
Pi^27 / 27 = 981031152559.39 37 12 11 51 86 71 95 95 42
Pi^28 / 28 = 2971928823901.05 75 80 73 70 61 63 34 438
Pi^29 / 29 = 9014638389119.34 03 78 03 00 83 90 39 87
Pi^30 / 30 = 27376311013424.98 60 52 88 34 52 84 78 02
Pi^31 / 31 = 83230855705321.24 22 71 09 79 78 78 23 77
..there are 7 #7's in Pi^31 / 31....see Pi^4 / 4 above for similar .35 22 7...

r6

r6r6 · #4 30-08-2014, 12:17 PM

Ive made some changes for clarity and added new tidbits. Biological humans are the most complex individual entities we know to exist in Universe. My Pi Pattern explorations is a little like entering the Twilight Zone of finding the most abstract, yet fundamental, numerical and geometric aspects, that seemingly may appear to be related to our complex Universe and specifics of biolgoicals, and humans in particular.

r6