Paradise Trinity Day

[Amigoo]

Re: 1point913 design
(similar design for both object sets)

~ for a circled square
Given: hyp = diameter, ls = 1.0
hyp = 1.1283791670955125738961589031216.. 2(sqrt(1/Pi))
ss = 0.52272320087706331513679711195284..
ls / ss = 1.9130583802711007947403078280203..

~ for a squared circle
Given: hyp = diameter = 2.0
ls = 1.7724538509055160272981674833411.. sqrt(Pi)
ss = 0.92650275035220848584275966758914..
ls / ss = 1.9130583802711007947403078280203..

~ correspondence of object sets

ss2 = 0.92650275035220848584275966758914..
/ 0.52272320087706331513679711195284.. ss1
= 1.7724538509055160272981674833411.. sqrt(Pi)

hyp2 = 2.0
/ 1.1283791670955125738961589031216.. hyp1
= 1.7724538509055160272981674833411.. sqrt(Pi)

Rod (used Cartesian "smoke & mirrors")

[Amigoo]

Re: http://aitnaru.org/chrysalis.html

An online page just for the 1point913 design ...
and because resurrection on the mansion world (aka "heaven")
might be considered impossible with only belief and faith.

Rod

[Amigoo]

Re: 1point913 CC design
(added to: http://aitnaru.org/images/Sqrt_Pi_Ratios.pdf )

"Case Closed - Squared circle geometry that speaks for itself"

Rod ... ...

[Amigoo]

Re: 1point913 CC design

"Squared circle geometry that speaks for itself
(3 circles squared, one encloses the 1.913.. set)"

Geometry so esoteric that only squared circle aficionados
comprehend its significance. Then again, such a Cartesian Clique
need not rush to reveal the secrets of the geometric chambers
... for CC membership should probably be earned.

Rod

[Amigoo]

Re: 1point913 CC design
"Squared circle geometry that speaks for itself"

Who knew Claim esoteric geometry and a 1.913.. proportional
Yin~Yang symbol appears , providing new interpretation to the belief that
"all things exist as inseparable and contradictory opposites".

Rod

[Amigoo]

Re: 1point913 CC design

"Squared circle geometry that speaks for itself
(3 circles squared, one encloses the 1.913.. set)"
… and asks “Whence transcendental Pi?”

In other words ...

Is it possible for the combined diameters of the two smaller circles
to have length equal to the diameter of the largest circle? and ...
for the combined diagonals of the squares of the two smaller circles
to have length equal to the diagonal of square of largest circle?

Yin~Yang symbolism that absorbs the transcendence of Pi


Re: https://personaltao.com/taoism/what-is-yin-yang/

"Taoism as a practice enjoys examining patterns. Over the years countless sects of Taoism have formed and quite a bit of literature written over the delineation and description of these patterns. Often Taoists use the concept of Yin Yang as a familiar starting template to work with patterns."

"For example, Qigong is based on the patterns of breath and physical movement. Knowledge of bodily patterns forms the basis of this Taoist practice to keep a body healthy."

Perhaps, patterns rule the universe ...
which begs: "Whence the master pattern(s)?"

Rod

[Amigoo]

Re: 1point913 CC design
"Squared circle geometry that speaks for itself"
… and asks “Whence transcendental Pi?”

Re: https://en.wikipedia.org/wiki/Taoism

"Taoism differs from Confucianism by not emphasizing rigid rituals and social order. Taoist ethics vary depending on the particular school, but in general tend to emphasize wu wei (effortless action), 'naturalness', simplicity, spontaneity, and the Three Treasures: 慈 compassion, 儉 frugality, and 不敢為天下先 humility.

Who knew 2018 - the new year of the Tao (pronounced 'Dao'),
reflecting modern thought about the universe and its source.

Rod ... ...

[Amigoo]

Re: House of Wu Wei design
(post-design exploration of 1point913 CC)

Re: http://themindunleashed.com/2016/11/5-s ... ffort.html

"When we are in alignment with the Source, or as Taoists call it, simply, the Tao, then we don’t have to ‘work’ at anything. This is not to be confused with doing nothing. The state of Wu Wei doesn’t give us an excuse to sit on the sidelines, observing life and critiquing others’ actions. Instead, it describes the inspired action of a person who is brimming with life energy, and that has dedicated their actions to a purpose which supports Oneness This person does not waste energy, though, and moves only when the time is right, and then, with magnificent acumen, and seemingly magical support behind them."

Note: House of Wu Wei is a beginning "work in progress", an effortless sketch
of the magical integration of circle-squaring geometric objects.

Rod

[Amigoo]

Re: House of Wu Wei design

"First exploration of the 1.913.. geometric somos
and first step of the next 1,000-mile journey."

Rod

[Amigoo]

Re: http://www.abovetopsecret.com/forum/thread901275/pg1

"'Secret of the Golden Flower' calls this thought-earth, the Heavenly Heart of the middle house.
This is the house of wu wei, effortless effort, doing without doing. It is the energy-center of intuition."

"Through circulating light and energy through the pineal gland, you will naturally be in tune with the patterns of reality. You’ll be in harmony with the Universe. 'The spirit-fire will be ignited': You will gain touch with the essence of true creativity. Self-expression will flow through you, as if you are a conduit for the energies of the Universe-at-large."

Who knew? ...
that squared circles reflect "the energies of the Universe-at-large."

Rod

[Amigoo]

Re: House of Wu Wei design

"First exploration of the 1.913.. geometric somos
and first step of the next 1,000-mile journey."

Already, the second step appeared ... best guess:
New millennium symbolism about the integration of opposites.

Rod ... ... (need retreading for the third step)
(computer mouse needs a serious vacation)

[Amigoo]

Re: House of Wu Wei design
House of Wu Wei with essence of Feng Shui (IMO):

Re: https://en.wikipedia.org/wiki/Feng_shui

"a Chinese philosophical system of harmonizing everyone with the surrounding environment. It is closely linked to Taoism."
"architecture in metaphoric terms of 'invisible forces' that bind the universe, earth, and humanity together, known as qi."

"scientific skeptic, Brian Dunning, concluded that there is nothing demonstrably real at all about the practice...
It's also a simple matter to dismiss the mystical energies said to be at its core; they simply don't exist."

And mathematicians still agree that it's impossible to square the circle (even if they simply exist).

Current portfolio: http://aitnaru.org/images/Sqrt_Pi_Ratios.pdf

Rod

[Amigoo]

Re: House of Wu Wei geometers' chant

Wu Wei, Wu Wei, Feng Shui too!
Wu Wei, Wu Wei, Yin Yang two!
Wu Wei, Wu Wei, Too by Two!
Wu Wei, Wu Wei, Oneness hue!

Rod

[Amigoo]

Re: 1point913 ICU design
(pronounced "I see you")

The Three Treasures of Sqrt(Pi) Ratios:
1.1283791670955125738961589031216.. 2(sqrt(1/Pi))
1.7724538509055160272981674833411.. sqrt(Pi)
1.9130583802711007947403078280203.. iPhi

If these line length ratios are not present in the Neighborhood,
the circle is not squared ... else squared circles exist on 606

Rod ... ...

[Amigoo]

Re: 1point913 ICU design

Geometers' secret:
Ratio of line lengths in the central golden cross
= 1.9130583802711007947403078280203.. iPhi

Rod

[Amigoo]

Re: 1point913 ICU design

Geometers' secret:

Three Treasures of Sqrt(Pi) Ratios
in circle-squaring right triangle:

hypotenuse / long side
= 1.1283791670955125738961589031216.. 2(sqrt(1/Pi))

hypotenuse / 1.1283791670955125738961589031216..
= 1.7724538509055160272981674833411.. sqrt(Pi)
= long side

long side / short side
= 1.9130583802711007947403078280203.. iPhi

Rod

[Amigoo]

Re: 1point913 ICU design

Geometers' Master Secret:

Because Pi itself and related values define line lengths in this geometry,
Pi / Pi = 1 (with no decimal digits!) explains how squared circles exist
... even if "the circle cannot be squared" ... and begs the question:
"Whence transcendental Pi?" (in a squared circle)

The Three Treasures previously mentioned assume D = 2;
for all diameters, including D = 2:

hypotenuse / long side
= 1.1283791670955125738961589031216.. 2(sqrt(1/Pi))

long side / (hypotenuse / 2)
= 1.7724538509055160272981674833411.. sqrt(Pi)

long side / short side
= 1.9130583802711007947403078280203.. iPhi

Rod

[Amigoo]

Re: 1point913 ICU design

Geometers' Master Secret:

Because Pi itself and related values define line lengths in this geometry,
Pi / Pi = 1 (with no decimal digits!) explains how squared circles exist

Hmmm ... Tao's "Oneness" comes to mind.

Rod

[Amigoo]

Re: 1point913 ICU design

Wu Wei, Wu Wei, Too by Two!

Hmmm ...

The "golden cross" is composed of three lines, with two of equal length
and ratio of a long-to-short line = 1.913.., hinting that this constant
my have "divine" essence, geometrically speaking ... especially since
this entire Neighborhood is given Cartesian reality by the cross.

Rod

[Amigoo]

Re: iTrapezoid 1point913 design

1point913 geometric balance extraordinaire
... and highlighting Pi / Pi = 1

Rod

[Amigoo]

Re: iTrapezoid 1point913 design
"Quadrature defined by isosceles Trapezoid"

Geometers' secret:
Top and bottom lines of capitalized 'I' have 1.913.. length relationship.

Rod ... ... "Wu Wei, Wu Wei, Oneness hue!"

[Amigoo]

Re: iTrapezoid 1point913 design
"Quadrature defined by isosceles Trapezoid"

Who knew? ...
The 'i' is always centered in the pyramid!

Rod

[Amigoo]

Re: iTrapezoids Nested design

Pi decremented by sqrt(2)

3.1415926535897932384626433832795.. Pi
2.2214414690791831235079404950303..
1.5707963267948966192313216916397.. Pi/2
1.1107207345395915617539702475152..
0.78539816339744830961566084581987.. Pi/4

Proof that Pi is evenly divisible by 2

3.1415926535897932384626433832795.. Pi
/ 1.5707963267948966192313216916397.. Pi/2
= 2.0

1.5707963267948966192313216916397.. Pi/2
/ 0.78539816339744830961566084581987.. Pi/4
= 2.0

Proof that sqrt(2) is also transcendental?

(((Pi/2)/2)/2) ... eventuates to what
and relates to Pi's transcendence how
proving sqrt(2) is transcendental when
(or that Pi is not transcendental)

Rod ... ...

[Amigoo]

Re: iTrapezoids Nested design (3 circles squared)

Long story short: Pi / Pi = 1
... in the sqrt(2) Pi Corral

Rod

[Amigoo]

Re: iTrapezoids Nested design (3 circles squared)
(updated here: http://aitnaru.org/images/Sqrt_Pi_Ratios.pdf )

The "Twilight Zone" of squared circle geometry
where ALL of Pi's decimal digits disappear.

Just imagine! squared circles may indeed exist!
https://www.youtube.com/watch?v=If3SXJeZzMQ

Long story short:
Pi / Pi = 1 in the CSCSC Pi Corral
where sqrt(Pi) x 2/sqrt(Pi) = 2

I tried to embellish the geometry with diagonals
to show where sqrt(Pi) x 2/sqrt(Pi) = 2, but this
geometry speaks for itself ... clearly.

A Pentagonia for thinking outside the box
... and grasping the concept.

Rod