There is an inherent sanity to these calculations since mathematics is always consistent,
since it's mathematics. But does these calculations also show that specific figures like
72,144,288 mentioned by Cathie or other basic constants in geometry like 90, 360.
As one progress in geometry more things become logical. But for now we are just checking
if things in geometry are related to octaves and if there is any use for bit-operators
(AND XOR OR,), which there seem to be.

(Calculations on 72)
From the tables below it can be seen that in these calculations (using bit operators
AND (&),XOR(^),OR(|))) there is a consistent repetition of 'modulo 8' if that is the
term, in different ways when 72 is used as input.

In the first column the result is alternating each 8th step between 0 and 8, further in the
calculations the numbers 72 and 64 would alternate each 8th step. This is using bit operation
AND (&)..The same with the last column with XOR (^), every 8th step changes the output..and
the output is shaped in a alternating +8 -8 way..Also a cyclic 8 in center column..........

So 72 appears to have a definite relantionship with it self (72), 8 and 64
Calculations up to 1024 here.
Probarly because of how AND(&) works we never get other values with 72 other than 0,8,72 and 64
because of how the results are tied in with the fact that our target for the calculations are 72
which is 1001.000 in binary so any computation done on it where the second argument for the
operation is above a certain value will cause the results to start from the top again.

72/64 = 1.125 = synergetics constant 6; S6.

72*8 = 576 = F2 Cube or F2 Double-Tet cube.

576*64 = 36864 = (2**15)*1.125 ≃ 2nf**f+2 where n is 2 and f 96, the resulting figure lacks +2.

The same with 144 which is not listed here gives consistently not one octaves but two (16). It gives 0,16,144 and 128.

144 * 128, same as above for (2**14)*1.125 ≃ 2nf**f+2 where n is 1 and f 96, the resulting figure lacks +2

144 * 16 , same as above for (2**11)*1.125..these comparisons are shown in "Light-5" on main page.

Here is the output without cycles from 36,72,144 and 288:

36: ([0, 4, 0, 4, 0, 4, 0, 4, 32, 36, 32, 36, 32, 36, 32, 36], 64.0 length of cycles, 4.0 steps in sub-cycles)

72: ([0, 8, 0, 8, 0, 8, 0, 8, 64, 72, 64, 72, 64, 72, 64, 72], 128.0 length of cycles, 8.0 steps in sub-cycles)

144: ([0, 16, 0, 16, 0, 16, 0, 16, 128, 144, 128, 144, 128, 144, 128, 144], 256.0 length of cycles, 16.0 steps in sub-cycles)

288: ([0, 32, 0, 32, 0, 32, 0, 32, 256, 288, 256, 288, 256, 288, 256, 288], 512.0 length of cycles, 32.0 steps in sub-cycles)

576: ([0, 64, 0, 64, 0, 64, 0, 64, 512, 576, 512, 576, 512, 576, 512, 576], 1024.0 length of cycles, 64.0 steps in sub-cycles)

Why synergetics constant six (1.125) is involved is unclear (288/1.125=256). This does look a bit like a computer on/off-volt type system (in a computer
0.75 v is OFF for instance and 1 volt is ON,not zero volt and 1 volt as you might think.).
Also all the star-figures give same numbers , 4 of them, albeit the length of the sequences increase / double with each succession.

72 & 0 = 0 .. 72 | 0 = 72 .. 72 ^ 0 = 72

72 & 1 = 0 .. 72 | 1 = 73 .. 72 ^ 1 = 73

72 & 2 = 0 .. 72 | 2 = 74 .. 72 ^ 2 = 74

72 & 3 = 0 .. 72 | 3 = 75 .. 72 ^ 3 = 75

72 & 4 = 0 .. 72 | 4 = 76 .. 72 ^ 4 = 76

72 & 5 = 0 .. 72 | 5 = 77 .. 72 ^ 5 = 77

72 & 6 = 0 .. 72 | 6 = 78 .. 72 ^ 6 = 78

72 & 7 = 0 .. 72 | 7 = 79 .. 72 ^ 7 = 79

72 & 8 = 8 .. 72 | 8 = 72 .. 72 ^ 8 = 64

72 & 9 = 8 .. 72 | 9 = 73 .. 72 ^ 9 = 65

72 & 10 = 8 .. 72 | 10 = 74 .. 72 ^ 10 = 66

72 & 11 = 8 .. 72 | 11 = 75 .. 72 ^ 11 = 67

72 & 12 = 8 .. 72 | 12 = 76 .. 72 ^ 12 = 68

72 & 13 = 8 .. 72 | 13 = 77 .. 72 ^ 13 = 69

72 & 14 = 8 .. 72 | 14 = 78 .. 72 ^ 14 = 70

72 & 15 = 8 .. 72 | 15 = 79 .. 72 ^ 15 = 71

72 & 16 = 0 .. 72 | 16 = 88 .. 72 ^ 16 = 88

72 & 17 = 0 .. 72 | 17 = 89 .. 72 ^ 17 = 89

72 & 18 = 0 .. 72 | 18 = 90 .. 72 ^ 18 = 90

72 & 19 = 0 .. 72 | 19 = 91 .. 72 ^ 19 = 91

72 & 20 = 0 .. 72 | 20 = 92 .. 72 ^ 20 = 92

72 & 21 = 0 .. 72 | 21 = 93 .. 72 ^ 21 = 93

72 & 22 = 0 .. 72 | 22 = 94 .. 72 ^ 22 = 94

72 & 23 = 0 .. 72 | 23 = 95 .. 72 ^ 23 = 95

72 & 24 = 8 .. 72 | 24 = 88 .. 72 ^ 24 = 80

72 & 25 = 8 .. 72 | 25 = 89 .. 72 ^ 25 = 81

72 & 26 = 8 .. 72 | 26 = 90 .. 72 ^ 26 = 82

72 & 27 = 8 .. 72 | 27 = 91 .. 72 ^ 27 = 83

72 & 28 = 8 .. 72 | 28 = 92 .. 72 ^ 28 = 84

72 & 29 = 8 .. 72 | 29 = 93 .. 72 ^ 29 = 85

72 & 30 = 8 .. 72 | 30 = 94 .. 72 ^ 30 = 86

72 & 31 = 8 .. 72 | 31 = 95 .. 72 ^ 31 = 87

Calculations on 90 as in the 90 degree right angle, still shows the alternating
patter, now with every 2nd in first column , and producing consistently the values
2,8,10,16,18,24 and 26 up from 0 to 63. where 18 = 3*6, 24=4*6 or 3*8, 26=2+2+2+.,
,after that 64,66,72,74,80,82,88 and 90. It is difficult for us to determine what these,
values can pertain to , if anything at all as stated.

90 & 0 = 0 .. 90 | 0 = 90 .. 90 ^ 0 = 90

90 & 1 = 0 .. 90 | 1 = 91 .. 90 ^ 1 = 91

90 & 2 = 2 .. 90 | 2 = 90 .. 90 ^ 2 = 88

90 & 3 = 2 .. 90 | 3 = 91 .. 90 ^ 3 = 89

90 & 4 = 0 .. 90 | 4 = 94 .. 90 ^ 4 = 94

90 & 5 = 0 .. 90 | 5 = 95 .. 90 ^ 5 = 95

90 & 6 = 2 .. 90 | 6 = 94 .. 90 ^ 6 = 92

90 & 7 = 2 .. 90 | 7 = 95 .. 90 ^ 7 = 93

90 & 8 = 8 .. 90 | 8 = 90 .. 90 ^ 8 = 82

90 & 9 = 8 .. 90 | 9 = 91 .. 90 ^ 9 = 83

90 & 10 = 10 .. 90 | 10 = 90 .. 90 ^ 10 = 80

90 & 11 = 10 .. 90 | 11 = 91 .. 90 ^ 11 = 81

90 & 12 = 8 .. 90 | 12 = 94 .. 90 ^ 12 = 86

90 & 13 = 8 .. 90 | 13 = 95 .. 90 ^ 13 = 87

90 & 14 = 10 .. 90 | 14 = 94 .. 90 ^ 14 = 84

90 & 15 = 10 .. 90 | 15 = 95 .. 90 ^ 15 = 85

90 & 16 = 16 .. 90 | 16 = 90 .. 90 ^ 16 = 74

90 & 17 = 16 .. 90 | 17 = 91 .. 90 ^ 17 = 75

90 & 18 = 18 .. 90 | 18 = 90 .. 90 ^ 18 = 72

90 & 19 = 18 .. 90 | 19 = 91 .. 90 ^ 19 = 73

90 & 20 = 16 .. 90 | 20 = 94 .. 90 ^ 20 = 78

90 & 21 = 16 .. 90 | 21 = 95 .. 90 ^ 21 = 79

90 & 22 = 18 .. 90 | 22 = 94 .. 90 ^ 22 = 76

90 & 23 = 18 .. 90 | 23 = 95 .. 90 ^ 23 = 77

90 & 24 = 24 .. 90 | 24 = 90 .. 90 ^ 24 = 66

90 & 25 = 24 .. 90 | 25 = 91 .. 90 ^ 25 = 67

90 & 26 = 26 .. 90 | 26 = 90 .. 90 ^ 26 = 64

90 & 27 = 26 .. 90 | 27 = 91 .. 90 ^ 27 = 65

90 & 28 = 24 .. 90 | 28 = 94 .. 90 ^ 28 = 70

90 & 29 = 24 .. 90 | 29 = 95 .. 90 ^ 29 = 71

90 & 30 = 26 .. 90 | 30 = 94 .. 90 ^ 30 = 68

90 & 31 = 26 .. 90 | 31 = 95 .. 90 ^ 31 = 69

72 ^ 45 = 101. 101 is a prime and also 72+29. 29 is a harmonic of 0.29 which always
is the product of a specific equation involving two and five.

Somehow with 72 ^ 36 , 36 is add to 72 and give 108, but with 72 ^ 216 we have 144, 216-72 possibly because first 36 is below 72 and then 216 is after 216.

216^108 = 180 = 60deg * 3, the three angles of a symmetric triangle. 108 is 36*3 so..
..over to something completely different..what if a triangles angles add up to 108
the ratio will be 1.6666..:1. 45 degress becomes exactly 75, the grid-space value.
This is actually backwards and not a correct calculation at all, but 45/(108/180),
is 75. The correct answer would be 45*(108/180) which is 27. That's not correct,
either. 108/3 = 36, 45/36=1.25 , 1.25:1 would be the ratio. Then 90 degrees would
be 72. At least with a 1.25 ratio 90 becomes 72.

STARTING OVER. Three angles of 60 would become three angles of 36. 45 would be 27 and
90 would become 54. 36 is familiar (6*6) and 27 is familiar (hours in a geodesic day),
but 54 is not familiar, except 360 | 144 = 504. And 54/9=6 which is the ratio (180/108)
reciprocated and harmonic 0.6, 1/1.6666.. But still 54 could have some relation to the
grid since we already have 27 and 36. It's 27*2. 54/36 is 1.5..

But 54*36 is 1944 a figure from earlier. 1944*4 = 6*6*6*6*6. (1/1944)*(3^7)=1.125,
one of the Synergetics constants. Earlier Cathie has stated that gridtime is to be caluclated
as minutes, something, minutes * 8/9 or something like that. 9/8 is at least 1.125 is a
synergetics constant as mentioned .

Another synergetics constant is 1.265625 (incidentally 1.125**2). Obviously we are going to
try this constant instead of the previous one, in that the grid certainly must actually be
infinite. Infinite meaning that one can zoom in and out , generalize or go into great
detail.

But do we multiply 864 with this or 972?..:
864*1.265625=1093.5
972*1.265625=1230.1875
-.this will have to rest .

(C)2012,2013 Teletypewriters Recombination Insubordinates.

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