The Collatz conjecture's bubble

x is a integer greater than 1.

The consecutive divisions of

(3x+1)/2

and

(5x-1)/2

and

(3x-1)/2 all lead to 4, 2 then 1, all lead to shape a square which the  surface equals 1 after 4 & 2, the smallest symmetry.

So we notice that the quantity of x is not a factor that can break the smallest symmetry finality.

Watch snowflakes, they all have 6 fans, all made in a random cloud, in shape & volume. That means the number six is made from randomity. 

If clouds always find a way to make snowflakes with 6 arms, then the set of natural numbers will always find a way to make squares.

Even if the number of H2O in the cloud is not dividable on 6, it can borrow from another cloud, and the chain won't stop. At the end, we won't have flakes with different number of fans.Its similar of what we did with odd integers ; we amplified them to fit the making of the smallest integer symmetry.

I know, my friend, that snowflakes could not always have the same numbers of H20 molecules..so what about benzene molecules C6H6😱

The 2 in Collatz conjecture is both the filter and the aim.

While testing big integers, we were actually playing a power game; watching how 2 attracted all the tested elements. 2 has, and always had an open expandable power flying to infinity.Yes, it's 2 at the power of 1, not at the power of 0.

We know that, generally, exponential functions are faster than linear one, but, the big problem is who runs faster to infinity; 2 at the power of y or 3x+1?

I believe, that 2 at the power of y is closer to infinity to drag  down 3x+1..How?????

Collatz asked us: [Is there a integer x greater than 1,so that 3x+1..divided on 2?]; which means the 2"whirlpool" existed and started before x. 3x+1 is only a suggestion! 

Even if 3x+1 is too close to infinity, it won't reach it because 2 at the power of y is already there to catch it  and to drag it down to 4, 2 then 1.

One more proof from history? hmmm 🤔

Okey!🙅‍♂️

What was there first!The floor with its gravity or the apple🤓

 Conclusion:

The wanted x  does not  really exist, It is only in the question.

My name is A.Rabahi

Thankful.