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Messages from Michael L. Morton

DNA & 1 4 2 8 7 5 & PI recursion



The following is a 'forward' from a discussion among some of the "Code Gang" members
(myself included). "CodeUFO@aol.com" is Gary Val Tenuta. "JMason4557@aol.com" is Joe Mason.
I thought this might be of some interest to some of those on the List.  -- Michael L. M.
 

In a message dated 03/26/2000 7:33:38 PM Pacific Standard Time, Code UFO writes:

Excerpt from Joe's email post:

I recently read two very good articles that lend support to the significance of 
the numerological "cross addition" method.  In "modulo arithmetic" it is related to
remainders of divisions.  Marko Rodin showed that a repeating pattern of numbers is derived 
by the method in the cross addition of the powers of two (1, 2, 4, 8, etc.).  
The repeating pattern is:  
 
1, 2, 4, 8, 7, 5
 
Notice that the numbers 3, 6, and 9 are missing.  The missing numbers are thought to
be a "gap space" pattern, related to the torus.  See:  
 
Marco Rodin's 
Toroid Sunflower Map (doubling+3, 9, 6, etc. gap sequence)

Good email, Gary !!  I was just now reviewing this, and something about this 
"1,2,4,8,7,5" pattern struck me.  After I shook off the effects of the blow, the pattern 
did at least apologize to me ... which I appreciated ... and then, I  said, "I've seen 
you somewhere, before .." ..

I noticed the same digits ... repeating ... in a *slightly different* order ... in the 
Pi approximation !!  (22 / 7)  =  3.142857142857142857142857 ...  And ... in the HALF-Pi 
approximation (11 / 7)  = 1.571428571428571428571428 ...

The same 6 digits ... repeating in a pattern.  After the decimal point, the Pi 
approximation sequence starts with "1" ... and after the decimal point, the HALF-Pi 
approximation sequence starts with "5" ... but the order-of-digits is identical. 

Notice what happens if we subtract  ....
571428 - 142857  =  "428571" .... same 6 digits.
 
Try addition ....  
571428 + 142857  =  "714285" ... same 6 digits.

Now subtract the above 'results' ...
714285 - 428571  =  "285714" .... same 6 digits.

Now add the above 'results' .... 
 714285 + 428571  =  1142856  .... the pattern is broken .. (?) .. BUT ...  there's still 
the "4285" sequence left.

NOW .... *divide* that "1142856" figure by .... "2" .....
1142856 / 2  =  "571428" .... back to the "HALF-Pi" sequence !!!!

Is this a key to .... something regarding DNA, maybe ? Gary ?  Anyone ?  This is 
pretty impressive to me.  -- Michael   

-- Michael Lawrence Morton March 22, 2000