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Did I Find The Feigenbaum Constant (4.699) In Depicting Cycles As Circles And Then Sub Circles Of The First Cycle?


pittsburghjoe

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Does chaos start at 3.57 because that is the circumference of the circle representing the cycle?

 

That circle is a snapshot/horizontal slice of a vertical/3d golden ratio. A cycle flows/advances on the path of the ratio. From the side it looks a like zig zag doing a downward funneled spiral. At any given time a snapshot can be taken, from the top that looks like a complete circle.

 

Something is happening to the flow between 3.57 and 3.83

 

I should update the circles in my first post, they need to be scaling in size per cycle.

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9,3,9,3,9,3,9,2,9,2,9,2,9,2,9,2,

8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,

7,2,7,2,7,2,7,2,7,2,7,2,7,2,7,2,7,2,7,2,

6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,1,6,1,6,1,6,1,

5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,

4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,

3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,9,3,9,3,9,3,9,

2,9,2,9,2,9,2,9,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,7,2,7,2,7,2,7,2,7,2,7,2,7,2,7,2,7,2,7,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,

1,6,1,6,1,6,1,6,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,


9,3,9,3,9,3,9,2,9,2,9,2,9,2,9,2,

8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,


 

Do any of you understand how big of deal this is? Pi x Pi is at the root.
Edited by pittsburghjoe
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I wonder if each digit represents an instruction set for the fabric of spacetime.

 

There are 350 digits before repeating.

 

If it is bifurcating, does it mean that pi x pi is naturally a quadratic map? You know what else is naturally a quadratic map? The fabric of spacetime. Are they the same thing?

 

It seems math itself is making an exception for Pi ..it is almost treating it like it is alive.

Edited by pittsburghjoe
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Do bifurcation diagrams give us a map of how certain numbers will behave when multiplied by themselves?

 

A quadratic map is an x times an x ..it all makes sense now

 

I think the Mandelbrot set will tell us how complex/imaginary numbers multiply.

 

We are going to find out the Mandelbrot set is a virtual object that sits at the core of math.

Edited by pittsburghjoe
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Chaos is 3.57 because multiplying 3.57 with itself is giving chaotic results by way of the first digit. Does a bifurcation diagram show us every number that will display chaos? 

 

Is Pi bifurcated from the start because bifurcation diagrams bifurcate at 3.0 not 3.14?

 

Is the Mandelbrot Set where infinity meets the math to the fabric of spacetime or the quantum fields?

 

I think we will find that the Mandelbrot set is all around us just like the signal from the CMB.

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