Eodnhoj7 wrote: ↑Mon Apr 20, 2020 3:57 am

Still results in fraction:

1.618 squared - 1.618 = 0.999924

LOL... oh dear.

Eod... are you aware Φ satisfies x²-x=1?

Because apparently... you are not.

Eodnhoj7 wrote: ↑Mon Apr 20, 2020 3:57 am

False The integrity is expressed as an irrational considering Pi itself as a ratio is ever expanding past 355/113.

Ratios, as continuous, are irrational.

...what?...
Eodnhoj7 wrote: ↑Mon Apr 20, 2020 3:57 am

Actually as irrational it is infinitely continuous thus is always rounded. Pi as a fraction is an example.

Irrational numbers are not 'always rounded'. Every time you round an irrational you are

severing from it at that chosen point.

Stop rounding, and problem solved. You are creating the problems you are trying to attribute to me by rounding - I don't round.

Eodnhoj7 wrote: ↑Mon Apr 20, 2020 3:57 am

Actually 1 is not rational as is exists through an infinite series of numbers.

1 is rational. If you believe otherwise...

Φ: x²-x=1 (solves with Φ as a root)

π: x⁴̄+16x²=256 (solves 4/√Φ as roots) wherein:

x=±√9.888...

x=±i√25.888...

Φ only has 1 "state" which is '1' in relation to 1.618... hence Φ²-Φ = 1.

π has 4 "states" which are x=±√9.888... and x=±i√25.888...

...these 4 "states" describe a real/imaginary number axes

that conforms to the same geometry that the universe conforms to

because the universe utilizes the relationship between Φ and π².

They are each respectively the yang and yin of all that exists.

That means that any infinite series of numbers passes through the axes

(including and especially complex numbers) as outlined above, wherein

every real value has a constituency of 1/2 the imaginary offset by a factor of ±i√16,

hence 16=Φπ² solves for e=MC² via. 1 = Φπ²/16.

Real r/i Imaginary (Complex)

v = s³/t ∞ s²/t² ∞ t³/s = e

r = s³/t ∞ s²/t² ∞ t³/s = i

1 = s³/t ∞ s²/t² ∞ t³/s = 16

_______________________

v = s³/t = 1

e = t³/s = 16

1 and 16 are two sides of the same coin in terms of velocity and energy

wherein each discrete and real '1' has an energy constituency of '16'

as expressed on/as the imaginary axis.

Eodnhoj7 wrote: ↑Mon Apr 20, 2020 3:57 am

The order of operations always necessitates brackets implicitly. Brackets are always the more accurate method of determining order of operations.

Only if/as needed: -8+8√5 is not needed, the 8 is multiplicatively pinned to √5, whereas the -8 is add/sub.

Eodnhoj7 wrote: ↑Mon Apr 20, 2020 3:57 am

1 exists as continuous through the number it manifests as...its continuity allows for the number to exist. Each number as a variation of 1 is one existing through itself in infinite variation as infinite.

It manifests through the squaring of Φ.

Φ incessantly acts on itself to produce 1,

thus 1 and 1.618... are ever-in-relation-to-one.

Eodnhoj7 wrote: ↑Mon Apr 20, 2020 3:57 am

One exists through itself ad infinitum through an infinite number of numbers. Its infinite nature is what allows for it to continuously exist tautologically.

1 actually exists through the incessant squaring of Φ, as Φ² = itself +1, hence Φ²-Φ=1 (!)

Eodnhoj7 wrote: ↑Mon Apr 20, 2020 3:57 am

False, your charts are dependendent upon the looping spiral of the golden ratio.

i. dependendent is not a word

ii. Nature is dependent on the golden ratio. I simply acknowledge it.

Eodnhoj7 wrote: ↑Mon Apr 20, 2020 3:57 am

Rofl!!! Reciprocity is a loop as it is a "mutual exchange" which manifests as a cycle.

Reciprocity is a stage for two to dance upon.

If you, yourself, are loopy, you will yourself see everything as loops. I call it

loopis.

Eodnhoj7 wrote: ↑Mon Apr 20, 2020 3:57 am

The Golden ratio square is not only a irrational number but it does not manifest as one: 2.61803398875

...yes it does, it is in the difference of itself.

Φ² - Φ = 1

and even

(√5±1)/2 = Φ, (Φ - 1)

I'd say the cure for loopis is

rationalization.

Eodnhoj7 wrote: ↑Mon Apr 20, 2020 3:57 am

The 355/113 is not only a more accurate version of Pi, and exists as significantly different than the fraction you observed, but it necessitates all fractions as continuous (as pi is continuous) as irrational.

No idea what 355/113 has to do with anything.

The constituency of π relies on a ratio of Φ,

from Φ's own "rib" is derived π, as from Adam's own "rib" is derived Eve,

π = 4/√Φ. Not an approximation of it, the ratio integrally maintained.

Eodnhoj7 wrote: ↑Mon Apr 20, 2020 3:57 am

This is an example on how the assumed premises results in a series of further premises as a variation of the original. The beginning premises, such as ratios not being irrational, are determined through beliefs when a seperate case can be observed that the fractions as continuous can be observed as irrational. It ends up as a battle between what premise to believe in.

Now try π as "approximated" and being "transcendental"... humanity has been stuck on that for thousands of years.

The approximated π problem is what humanity is suffering: 4/√Φ is not only precise, it relates to the harmonic of light.

A ratio that is composed of one rational and one irrational is a

complex ratio: one

is to one is

not.

4/√Φ is a

complex ratio: it has a rational numerator about an irrational denominator. Hence:

the 'real' and 'imaginary' number lines of complex analysis (though Western science still doesn't understand the relationship

between real numbers and "imaginary" numbers yet, as it deals with the actual construct of the number system itself).