VC-PI
Vibrational Cell - Pi
The CV or Combustion Vibrator
application of this device, with the Pi / 2 down shift wavelength, can
use any water as well as tap water, and generally the water will
clean itself and go clear. It has been noted, that using a caliper
to start a cell with tubes that
are not cut to length is possible by using two at once. Be warned, to
stop the vibration you may have to take the cell apart, as a
successful Pi / 2 down shift will
self sustain. The cell must be started with calipers, and then
polarized with a low voltage only once, negative to center tube
positive to outer can. It will operate then, without any further need
for voltage connections.
The Transcendental Configurations
PI - Life Force
PHI - Acceleration

Designing new tubes for an existing 5" case.
I just set up the numbers and started looking, sure enough it is possible!
I was able to get a good Pi / 2 coupling, and also the dangerous PHI coupling.
Both are within acceptable error thresholds, the vibration patterns will fit on the stock tubes.
Reference - Tube Stock- Ratios
PI/2 |
1.570796 |
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PI/2^2 |
2.467401 |
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PI/2^3 |
3.875785 |
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Phi |
1.618034 |
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Diameter |
1” |
2” |
3” |
4” can |
1x |
0.935000 |
1.935000 |
2.935000 |
3.935000 |
Wavelength Charts For all Tube Sizes
|
2x |
4x |
6x |
8x |
10x |
12x |
16x |
18x |
20x |
22x |
24x |
26x |
Tube 4 |
3.935000 |
2.782465 |
1.967500 |
1.505859 |
1.215982 |
1.018453 |
0.767680 |
0.683306 |
0.615570 |
0.560009 |
0.513621 |
0.474312 |
PI/2 |
2.505099 |
1.771372 |
1.252549 |
0.958660 |
0.774118 |
0.648367 |
0.488721 |
0.435006 |
0.391884 |
0.356513 |
0.326981 |
0.301956 |
PI/2^2 |
1.594795 |
1.127691 |
0.797398 |
0.610302 |
0.492819 |
0.412763 |
0.311129 |
0.276933 |
0.249481 |
0.226963 |
0.208163 |
0.192231 |
PI/2^3 |
1.015278 |
0.717910 |
0.507639 |
0.388530 |
0.313738 |
0.262773 |
0.198071 |
0.176301 |
0.158825 |
0.144489 |
0.132520 |
0.122378 |
Phi |
2.431964 |
1.719658 |
1.215982 |
0.930672 |
0.751518 |
0.629439 |
0.474453 |
0.422306 |
0.380443 |
0.346105 |
0.317435 |
0.293141 |
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Tube 3 |
2.935000 |
2.075358 |
1.467500 |
1.123176 |
0.906965 |
0.759634 |
0.572590 |
0.509657 |
0.459135 |
0.417694 |
0.383094 |
0.353775 |
PI/2 |
1.868479 |
1.321214 |
0.934240 |
0.715036 |
0.577392 |
0.483598 |
0.364522 |
0.324458 |
0.292295 |
0.265912 |
0.243885 |
0.225220 |
PI/2^2 |
1.189511 |
0.841111 |
0.594755 |
0.455206 |
0.367579 |
0.307868 |
0.232062 |
0.206556 |
0.186080 |
0.169285 |
0.155262 |
0.143380 |
PI/2^3 |
0.757266 |
0.535468 |
0.378633 |
0.289793 |
0.234008 |
0.195995 |
0.147735 |
0.131498 |
0.118463 |
0.107770 |
0.098843 |
0.091278 |
Phi |
1.813930 |
1.282642 |
0.906965 |
0.694161 |
0.560535 |
0.469480 |
0.353880 |
0.314986 |
0.283761 |
0.258149 |
0.236765 |
0.218645 |
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Tube 2 |
1.935000 |
1.368252 |
0.967500 |
0.740492 |
0.597948 |
0.500815 |
0.377500 |
0.336009 |
0.302701 |
0.275379 |
0.252568 |
0.233238 |
PI/2 |
1.231859 |
0.871056 |
0.615930 |
0.471412 |
0.380665 |
0.318829 |
0.240324 |
0.213910 |
0.192705 |
0.175312 |
0.160790 |
0.148484 |
PI/2^2 |
0.784226 |
0.554531 |
0.392113 |
0.300110 |
0.242339 |
0.202973 |
0.152995 |
0.136179 |
0.122680 |
0.111607 |
0.102362 |
0.094528 |
PI/2^3 |
0.499254 |
0.353026 |
0.249627 |
0.191056 |
0.154278 |
0.129216 |
0.097400 |
0.086695 |
0.078100 |
0.071051 |
0.065166 |
0.060178 |
Phi |
1.195896 |
0.845626 |
0.597948 |
0.457649 |
0.369552 |
0.309521 |
0.233308 |
0.207665 |
0.187079 |
0.170194 |
0.156096 |
0.144149 |
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Tube 1 |
0.935000 |
0.661145 |
0.467500 |
0.357809 |
0.288931 |
0.241996 |
0.182409 |
0.162361 |
0.146266 |
0.133064 |
0.122042 |
0.112702 |
Continued From Above
28x |
30x |
32x |
34x |
36x |
38x |
40x |
42x |
44x |
46x |
48x |
50x |
52x |
54x |
56x |
0.440580 |
0.411320 |
0.385697 |
0.363076 |
0.342958 |
0.324950 |
0.308737 |
0.294063 |
0.280720 |
0.268534 |
0.257361 |
0.247081 |
0.237589 |
0.228800 |
0.220637 |
0.280482 |
0.261854 |
0.245543 |
0.231141 |
0.218334 |
0.206869 |
0.196548 |
0.187206 |
0.178712 |
0.170954 |
0.163841 |
0.157296 |
0.151254 |
0.145659 |
0.140462 |
0.178560 |
0.166702 |
0.156317 |
0.147149 |
0.138996 |
0.131697 |
0.125126 |
0.119179 |
0.113771 |
0.108833 |
0.104305 |
0.100138 |
0.096291 |
0.092729 |
0.089421 |
0.113675 |
0.106125 |
0.099515 |
0.093678 |
0.088487 |
0.083841 |
0.079658 |
0.075872 |
0.072429 |
0.069285 |
0.066402 |
0.063750 |
0.061301 |
0.059033 |
0.056927 |
0.272294 |
0.254209 |
0.238374 |
0.224393 |
0.211960 |
0.200830 |
0.190810 |
0.181741 |
0.173494 |
0.165963 |
0.159058 |
0.152704 |
0.146838 |
0.141406 |
0.136361 |
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0.328616 |
0.306791 |
0.287680 |
0.270808 |
0.255802 |
0.242370 |
0.230277 |
0.219333 |
0.209381 |
0.200291 |
0.191958 |
0.184290 |
0.177211 |
0.170655 |
0.164567 |
0.209203 |
0.195309 |
0.183143 |
0.172401 |
0.162849 |
0.154298 |
0.146599 |
0.139632 |
0.133296 |
0.127510 |
0.122204 |
0.117323 |
0.112816 |
0.108642 |
0.104766 |
0.133183 |
0.124338 |
0.116592 |
0.109754 |
0.103673 |
0.098229 |
0.093328 |
0.088892 |
0.084859 |
0.081175 |
0.077798 |
0.074690 |
0.071821 |
0.069164 |
0.066696 |
0.084787 |
0.079156 |
0.074225 |
0.069872 |
0.066000 |
0.062535 |
0.059414 |
0.056591 |
0.054023 |
0.051678 |
0.049528 |
0.047549 |
0.045723 |
0.044031 |
0.042460 |
0.203096 |
0.189607 |
0.177796 |
0.167368 |
0.158094 |
0.149793 |
0.142319 |
0.135555 |
0.129404 |
0.123787 |
0.118637 |
0.113898 |
0.109522 |
0.105471 |
0.101708 |
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0.216651 |
0.202263 |
0.189663 |
0.178539 |
0.168646 |
0.159791 |
0.151818 |
0.144603 |
0.138041 |
0.132049 |
0.126555 |
0.121500 |
0.116832 |
0.112510 |
0.108496 |
0.137924 |
0.128764 |
0.120743 |
0.113662 |
0.107364 |
0.101726 |
0.096651 |
0.092057 |
0.087880 |
0.084065 |
0.080567 |
0.077349 |
0.074378 |
0.071626 |
0.069071 |
0.087805 |
0.081974 |
0.076868 |
0.072359 |
0.068350 |
0.064761 |
0.061530 |
0.058605 |
0.055946 |
0.053517 |
0.051291 |
0.049242 |
0.047350 |
0.045599 |
0.043972 |
0.055899 |
0.052186 |
0.048935 |
0.046065 |
0.043513 |
0.041228 |
0.039171 |
0.037309 |
0.035616 |
0.034070 |
0.032653 |
0.031348 |
0.030144 |
0.029029 |
0.027993 |
0.133898 |
0.125005 |
0.117218 |
0.110343 |
0.104229 |
0.098756 |
0.093829 |
0.089369 |
0.085314 |
0.081611 |
0.078215 |
0.075091 |
0.072206 |
0.069535 |
0.067054 |
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0.104687 |
0.097734 |
0.091646 |
0.086271 |
0.081491 |
0.077212 |
0.073359 |
0.069873 |
0.066702 |
0.063807 |
0.061152 |
0.058709 |
0.056454 |
0.054365 |
0.052426 |
I have marked some of the PHI sets that became apparent from the numbers.
Choosing some Tube Lengths
Note the deviation is running as high as .012" on a .065" thick tube
and the caliper still shows the tube vibrates up just fine with
that slight nodal offset.
PI/2 Cell
PHI Cell
Min |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
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Min |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
Center |
0.065000 |
0.065000 |
0.065000 |
0.065000 |
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Center |
0.065000 |
0.065000 |
0.065000 |
0.065000 |
Max |
0.130000 |
0.130000 |
0.130000 |
0.130000 |
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Max |
0.130000 |
0.130000 |
0.130000 |
0.130000 |
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Deviation |
-0.011677 |
-0.001986 |
-0.006955 |
-0.016189 |
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Deviation |
-0.001702 |
0.024843 |
-0.006600 |
0.018514 |
New Center |
0.076677 |
0.066986 |
0.071955 |
0.081189 |
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New Center |
0.066702 |
0.040157 |
0.071600 |
0.046486 |
New Dia |
0.923323 |
1.933014 |
2.928045 |
3.918811 |
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New Dia |
0.933298 |
1.959843 |
2.928400 |
3.953514 |
Wave Chg |
-0.000873 |
-0.000111 |
-0.000404 |
-0.001105 |
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Wave Chg |
-0.000266 |
0.002994 |
-0.000861 |
0.002896 |
Center Seg |
0.069873 |
0.108496 |
0.170655 |
0.268534 |
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Center Seg |
0.146266 |
0.233238 |
0.383094 |
0.615570 |
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PI/2 |
Polygon 42x |
Polygon 56x |
Polygon 54x |
Polygon 46x |
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PHI |
Polygon 20x |
Polygon 26x |
Polygon 24x |
Polygon 20x |
Cell 10 |
1” |
2” |
3” |
4” |
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Cell 11 |
1” |
2” |
3” |
4” |
1x |
0.069000 |
0.108385 |
0.170251 |
0.267429 |
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1x |
0.146000 |
0.236233 |
0.382233 |
0.618466 |
2x |
0.138000 |
0.216770 |
0.340501 |
0.534858 |
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2x |
0.292000 |
0.472466 |
0.764466 |
1.236932 |
3xP |
0.207000 |
0.325155 |
0.510752 |
0.802287 |
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3xP |
0.438000 |
0.708699 |
1.146699 |
1.855398 |
4x |
0.276000 |
0.433540 |
0.681003 |
1.069717 |
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4x |
0.584000 |
0.944932 |
1.528932 |
2.473864 |
5xP |
0.345000 |
0.541925 |
0.851253 |
1.337146 |
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5xP |
0.730000 |
1.181165 |
1.911165 |
3.092330 |
6x |
0.414000 |
0.650310 |
1.021504 |
1.604575 |
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6x |
0.876000 |
1.417398 |
2.293398 |
3.710796 |
7xP |
0.483000 |
0.758695 |
1.191755 |
1.872004 |
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7xP |
1.022000 |
1.653631 |
2.675631 |
4.329261 |
8x |
0.552000 |
0.867080 |
1.362005 |
2.139433 |
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8x |
1.168000 |
1.889864 |
3.057864 |
4.947727 |
9x |
0.621000 |
0.975465 |
1.532256 |
2.406862 |
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9x |
1.314000 |
2.126097 |
3.440097 |
5.566193 |
10x |
0.690000 |
1.083849 |
1.702507 |
2.674291 |
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10x |
1.460000 |
2.362330 |
3.822330 |
6.184659 |
11xP |
0.759000 |
1.192234 |
1.872757 |
2.941721 |
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11xP |
1.606000 |
2.598563 |
4.204563 |
6.803125 |
12x |
0.828000 |
1.300619 |
2.043008 |
3.209150 |
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12x |
1.752000 |
2.834796 |
4.586796 |
7.421591 |
13xP |
0.897000 |
1.409004 |
2.213259 |
3.476579 |
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13xP |
1.898000 |
3.071029 |
4.969029 |
8.040057 |
14x |
0.966000 |
1.517389 |
2.383509 |
3.744008 |
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14x |
2.044000 |
3.307261 |
5.351261 |
8.658523 |
15x |
1.035000 |
1.625774 |
2.553760 |
4.011437 |
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15x |
2.190000 |
3.543494 |
5.733494 |
9.276989 |
16x |
1.104000 |
1.734159 |
2.724011 |
4.278866 |
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16x |
2.336000 |
3.779727 |
6.115727 |
9.895455 |
17xP |
1.173000 |
1.842544 |
2.894261 |
4.546295 |
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17xP |
2.482000 |
4.015960 |
6.497960 |
10.513921 |
18x |
1.242000 |
1.950929 |
3.064512 |
4.813724 |
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18x |
2.628000 |
4.252193 |
6.880193 |
11.132387 |
19xP |
1.311000 |
2.059314 |
3.234763 |
5.081154 |
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19xP |
2.774000 |
4.488426 |
7.262426 |
11.750853 |
20x |
1.380000 |
2.167699 |
3.405014 |
5.348583 |
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20x |
2.920000 |
4.724659 |
7.644659 |
12.369318 |
21x |
1.449000 |
2.276084 |
3.575264 |
5.616012 |
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21x |
3.066000 |
4.960892 |
8.026892 |
12.987784 |
22x |
1.518000 |
2.384469 |
3.745515 |
5.883441 |
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22x |
3.212000 |
5.197125 |
8.409125 |
13.606250 |
23xP |
1.587000 |
2.492854 |
3.915766 |
6.150870 |
|
|
23xP |
3.358000 |
5.433358 |
8.791358 |
14.224716 |
29xP |
2.001000 |
3.143163 |
4.937270 |
7.755445 |
|
|
29xP |
4.234000 |
6.850756 |
11.084756 |
17.935512 |
31xP |
2.139000 |
3.359933 |
5.277771 |
8.290303 |
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|
31xP |
4.526000 |
7.323222 |
11.849222 |
19.172444 |
37xP |
2.553000 |
4.010243 |
6.299275 |
9.894878 |
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|
37xP |
5.402000 |
8.740620 |
14.142620 |
22.883239 |
41xP |
2.829000 |
4.443783 |
6.980278 |
10.964595 |
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|
41xP |
5.986000 |
9.685551 |
15.671551 |
25.357103 |
43xP |
2.967000 |
4.660553 |
7.320779 |
11.499453 |
|
|
43xP |
6.278000 |
10.158017 |
16.436017 |
26.594035 |
47xP |
3.243000 |
5.094092 |
8.001782 |
12.569169 |
|
|
47xP |
6.862000 |
11.102949 |
17.964949 |
29.067898 |
53xP |
3.657000 |
5.744402 |
9.023286 |
14.173744 |
|
|
53xP |
7.738000 |
12.520347 |
20.258347 |
32.778694 |
59xP |
4.071000 |
6.394712 |
10.044790 |
15.778319 |
|
|
59xP |
8.614000 |
13.937745 |
22.551745 |
36.489490 |
61xP |
4.209000 |
6.611482 |
10.385291 |
16.313177 |
|
|
61xP |
8.906000 |
14.410211 |
23.316211 |
37.726421 |
67xP |
4.623000 |
7.261791 |
11.406795 |
17.917752 |
|
|
67xP |
9.782000 |
15.827608 |
25.609608 |
41.437217 |
71xP |
4.899000 |
7.695331 |
12.087798 |
18.987469 |
|
|
71xP |
10.366000 |
16.772540 |
27.138540 |
43.911081 |
73xP |
5.037000 |
7.912101 |
12.428299 |
19.522327 |
|
|
73xP |
10.658000 |
17.245006 |
27.903006 |
45.148013 |
79xP |
5.451000 |
8.562411 |
13.449803 |
21.126902 |
|
|
79xP |
11.534000 |
18.662404 |
30.196404 |
48.858808 |
83xP |
5.727000 |
8.995951 |
14.130806 |
22.196618 |
|
|
83xP |
12.118000 |
19.607336 |
31.725336 |
51.332672 |
89xP |
6.141000 |
9.646260 |
15.152310 |
23.801193 |
|
|
89xP |
12.994000 |
21.024734 |
34.018734 |
55.043467 |
97xP |
6.693000 |
10.513340 |
16.514316 |
25.940626 |
|
|
97xP |
14.162000 |
22.914597 |
37.076597 |
59.991195 |
101xP |
6.969000 |
10.946880 |
17.195318 |
27.010343 |
|
|
101xP |
14.746000 |
23.859529 |
38.605529 |
62.465058 |
103xP |
7.107000 |
11.163649 |
17.535820 |
27.545201 |
|
|
103xP |
15.038000 |
24.331995 |
39.369995 |
63.701990 |
107xP |
7.383000 |
11.597189 |
18.216822 |
28.614918 |
|
|
107xP |
15.622000 |
25.276927 |
40.898927 |
66.175854 |
109xP |
7.521000 |
11.813959 |
18.557324 |
29.149776 |
|
|
109xP |
15.914000 |
25.749393 |
41.663393 |
67.412786 |
113xP |
7.797000 |
12.247499 |
19.238326 |
30.219492 |
|
|
113xP |
16.498000 |
26.694325 |
43.192325 |
69.886649 |
127xP |
8.763000 |
13.764888 |
21.621836 |
33.963500 |
|
|
127xP |
18.542000 |
30.001586 |
48.543586 |
78.545172 |
131xP |
9.039000 |
14.198428 |
22.302839 |
35.033217 |
|
|
131xP |
19.126000 |
30.946518 |
50.072518 |
81.019036 |
137xP |
9.453000 |
14.848738 |
23.324343 |
36.637792 |
|
|
137xP |
20.002000 |
32.363916 |
52.365916 |
84.729832 |
139xP |
9.591000 |
15.065508 |
23.664844 |
37.172650 |
|
|
139xP |
20.294000 |
32.836382 |
53.130382 |
85.966764 |
149xP |
10.281000 |
16.149357 |
25.367351 |
39.846941 |
|
|
149xP |
21.754000 |
35.198711 |
56.952711 |
92.151423 |
151xP |
10.419000 |
16.366127 |
25.707852 |
40.381800 |
|
|
151xP |
22.046000 |
35.671177 |
57.717177 |
93.388355 |
157xP |
10.833000 |
17.016437 |
26.729356 |
41.986374 |
|
|
157xP |
22.922000 |
37.088575 |
60.010575 |
97.099150 |
163xP |
11.247000 |
17.666746 |
27.750860 |
43.590949 |
|
|
163xP |
23.798000 |
38.505973 |
62.303973 |
100.809946 |
167xP |
11.523000 |
18.100286 |
28.431863 |
44.660666 |
|
|
167xP |
24.382000 |
39.450905 |
63.832905 |
103.283809 |
173xP |
11.937000 |
18.750596 |
29.453367 |
46.265241 |
|
|
173xP |
25.258000 |
40.868302 |
66.126302 |
106.994605 |
179xP |
12.351000 |
19.400905 |
30.474871 |
47.869815 |
|
|
179xP |
26.134000 |
42.285700 |
68.419700 |
110.705401 |
181xP |
12.489000 |
19.617675 |
30.815372 |
48.404674 |
|
|
181xP |
26.426000 |
42.758166 |
69.184166 |
111.942332 |
191xP |
13.179000 |
20.701525 |
32.517879 |
51.078965 |
|
|
191xP |
27.886000 |
45.120496 |
73.006496 |
118.126992 |
193xP |
13.317000 |
20.918295 |
32.858380 |
51.613823 |
|
|
193xP |
28.178000 |
45.592962 |
73.770962 |
119.363923 |
197xP |
13.593000 |
21.351834 |
33.539383 |
52.683540 |
|
|
197xP |
28.762000 |
46.537894 |
75.299894 |
121.837787 |
199xP |
13.731000 |
21.568604 |
33.879885 |
53.218398 |
|
|
199xP |
29.054000 |
47.010360 |
76.064360 |
123.074719 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
PI/2 |
Polygon 42x |
Polygon 56x |
Polygon 54x |
Polygon 46x |
|
|
PHI |
Polygon 20x |
Polygon 26x |
Polygon 24x |
Polygon 20x |
Cell 10 |
1” |
2” |
3” |
4” |
|
|
Cell 11 |
1” |
2” |
3” |
4” |
73xP |
5.0370 |
|
|
|
|
|
29xP |
4.2340 |
|
|
|
47xP |
|
5.0941 |
|
|
|
|
19xP |
|
4.4884 |
|
|
31xP |
|
|
5.2778 |
|
|
|
13xP |
|
|
4.9690 |
|
22x |
|
|
|
5.8834 |
|
|
9x |
|
|
|
5.5662 |
At the bottom are a couple of the possible tube sets that will accurately produce these functions on these factory tubes.
I set a caliper with the settings above against each tube for a test to see if the lengths actually work.
The results were amazing. Very high frequency / high field density results.
This shows I am not pushing the tubes further then they can adjust to.
Dave L
12/28/2011
www.ResonantFractals.org