Step#1 Take a number and search for the first location which the string occurs, and perform step 2.
Step #2 Take the digits of the position which the string occurs in step 1 and add them together.
Step#3 Take the sum of step "2" and use it as the number in step 1.

This is how you create the first part of the Pi Fractal using the above steps, "x" equals the starting number/string, and "y" equals the numbers/string's position which it occurs in Pi counting from the first digit after the decimal point (the 3. is not counted). Once a full loop of "2, 6, 7, 13" has been made, the value of "x" increases by one and step#1 is performed again with the new "x". (*note "y" is only the position which the string occurs, not the sum of digits of the position)

z1 x=1 y=1 z6 x=3 y=9 z11 x=3 y=7 z16 x=4 y=13 z21 x=5 y=13
z2 x=2 y=6 z7 x=3 y=5 z12 x=3 y=13 z17 x=5 y=4 z22 x=6 y=7
z3 x=2 y=7 z8 x=3 y=4 z13 x=4 y=2 z18 x=5 y=2 z23 x=6 y=13
z4 x=2 y=13 z9 x=3 y=2 z14 x=4 y=6 z19 x=5 y=6 z24 x=6 y=2
z5 x=2 y=2 z10 x=3 y=6 z15 x=4 y=7 z20 x=5 y=7 z25 x=6 y=6

Bellow is an outline of the progression containment of the "addition" loops by the infinite 1 loops in the first part of the fractal of Pi.

1 & 14 are infinite loops of 1, (1 * 10 + 2 = 12)
12 between the first and second infinite's are loops of 2, 6, 7, 13 (12 * 10 + 5 = 125)
14 & 141 are infinite loops of 1
125 between the second and third infinite's are loops of 2, 6, 7, 13 (125 * 10 + 22 = 1272)
141 & 1415 are infinite loops of 1
1272 between the third and fourth infinite's are loops of 2, 6, 7, 13 (1272 * 10 + 22 = 12742)
1415 & 14159 are infinite loops of 1
12742 between the fourth and fifth infinite's are loops of 2, 6,7, 13 (12742 * 10 + 11 = 127431)
14159 & 141592 are infinite loops of 1
127431 between the fifth and sixth infinite's are loops of 2, 6, 7, 13 ( 127431 * 10 + 22 = 1274332)
141592 & 1415926 are infinite loops of 1
1274332 between the sixth and seventh infinite's are loops of 2, 6, 7, 13 ( 1274332 * 10 + 17 = 12743337)
1415926 & 14159265 are infinite loops of 1
12743337 between the seventh and eighth infinite's are loops of 2, 6, 7, 13 (12743337 * 10 + 16 = 127433386)

From my research so far, the solution to Pi seems to be in four loop patterns, addition, subtraction, multiplication, and division. Each of the four infinite loop patterns has its own set of infinite 1 loops which contains the progression within its own realm of Pi, as a result, the pieces of the solution to Pi are contained in sixteen quadrants... With this said, note the +2, +5, +22, +22, +11, +22, +17, +16 and the relationships of the progression of the containment as well as the contained.

...Such dynamics coupled with the rest of the pieces will result in the creation of Pi in a form through out the sixteen quadrants that will be the solution...the master fractal, the image that all is created in...the hidden answer to why Pi really works...how everything must work...mathematical proof of how such must work to conform to the form.......

(*note, if you know whats wrong then you know whats right, seek not what is right, seek all that is wrong and all that is left is all that is right.)

Date: Monday, September 12th, 2011 Time: 3:00 p.m Pacific
X: Frank H Kilmer