Eternal Protocol, Part 3.

This is to figure out how to assemble the Fibonacci Numbers in 4 stages,  ie  over 4 rows.

please click on images to see them more clearly, and in sequence.  thank you.

Thus, to make 1597 from 987,
increase every 6th loop as required in description, to get 1140.
increase every 7th loop as described to get 1292
then increase every 8th loop to get 1445
then increase every 9th loop to get 1597.

note :  there are 76 or 77 stitches at ends where there is no increase.

----------------------------------------------------

All the above looks as if the Fibonacci Series has a magical elegant  secret within it.
The numbers are so eerily exact!  To many decimal points!
And then It occurred to me that there is a natural Reason.
It is a function of the mathematical action.  As follows.

x/a
(x + a)/a = x/a + 1
(x + 2a)/a = x/a + 2
(x/a + 3a)/a = x/a + 3
(x/a + 4a)/a = x/a + 4 = y/a

************************

18/12/2015  In 8 stages:-

In 16 stages:-

---------------------------------------------