Patterns............self similarity...............................................like Russian dolls........one is inside the other..............or going the other way............one contains another........bottom up.......to top down...........up or down a pole.......down or up the pole.......it is the same pole..............similar to self.......................the same pattern throughout........or same type.......similar.........






square root(8) =

2.82842712475

e starts out 2.7.............the square root of 8 starts out 2.8..............................also .................e has 28, repeated.............twice near the beginning.......

square root(8) =

2.82842712475






e (Euler's Number)

The number e is a famous irrational number, and is one of the most important numbers in mathematics.
The first few digits are:

2.7182818284590452353602874713527 (and more ...)

It is often called Euler's number after Leonhard Euler.
And Euler is spoken like "Oiler".

And, again............the further imp. of the square root of 13........is that is exactly the hyp of a right triangle..........whose two lesser sides are 2 and 3...........how the primes start out........................their squares sum to 13............the difference of their squares is 5.............................the numbers 2 and 3 add up to 5........................1/2 + 14i...................1/2 = 0.5.......................14i...............1 + 4 = 5..............surprising connections between numbers............................


There are 10 numbers in the pf..............5 primes, 5 non primes..........

Using 3 as a midpoint .............between e and pi............there is another pi......................truncating e and pi................at the tenth decimal.........using only the 1st two numbers................e becomes..........2.7..............pi becomes.............3.1................3 is just three...........the distance from 2.7 to 3............is 0.3................from 3 to 3.1..........is a distance of 0.1.......................combining the TWO distances................................u have 0.3 and 0.1..................................using the zero dimension..........i.e........ignoring the decimal point you have 31.........like the beginning of pi..............smaller scales and bigger scales............the same pattern.........like the M set....................spirals..................circles everywhere.............................