Paradise Trinity Day

[Amigoo]

Re: "TLO" design (aka "Three Moonsa Pi"),
updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf

Who can tell
'7' may allude to "scalene" of the circle-squaring triangles ...
according to geometers at the Temple of Meganta at TLO.

Rod

[Amigoo]

Re: "TLO" design (aka "Three Moonsa Pi")

A Pi divided against itself cannot stand ...
alone in a transcendental nirvana:

3.5449077018110320545963349666823.. 2(sqrt(Pi))
/ 3.1415926535897932384626433832795.. Pi
= 1.1283791670955125738961589031215.. 2/sqrt(Pi)
(defines a circle-squaring right triangle)

The next Real Wheel of Pi design is not
The Last One since this foundational geometry
was created last year then rolled forward.

This "Real Wheel of Pi, properly aged" design,
highlights Pi Corral with succinct concentricity:

For D = 2, SoIS = sqrt(2), SoCS = sqrt(Pi)
1.2533141373155002512078826424055.. (sqrt(2)sqrt(Pi))/2
x 1.1283791670955125738961589031215.. 2/sqrt(Pi)
= 1.4142135623730950488016887242096.. sqrt(2)
(BTW little D = 2/Pi, C = 2)

How did G101-Qqq get in the toy box
("Geometry 101 with triple+ Quadrature")

Rod ... ...

[Amigoo]

Re: "G101-Qqq" design,
updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf

With Quadrature there is always better pattern
... when sqrt(2) manages the "impossible" Pi Corral.

The Cartesian clue that originated more than a decade ago
is that Quadrature depends on 8 points of a circle whereupon rests
the circle's square. Quadrature's geometry derives from this clue
... since the infinite points of a circle are insignificant!

For math nerds ...
This geometry suggests a decreasing value of Pi (not linear infinity)
as the nested sqrt(2) circles decrease in size. What progression
is this: if D = 2(sqrt(Pi)), SoCS = Pi , if D = 2, SoCS = sqrt(Pi),
if D = 1, SoCS = sqrt(Pi)/2

Regarding the '7' pattern ...
This natural pattern in sqrt(2)-nested circles was believed
to associate with a soft chime at the Temple of Meganta,
a sound heard at every time display having a '7' digit;
146 times in a 24-hour day. Perhaps but a myth.

Regarding '146' ... 1 x 4 x 6 = 2 x 4 = 8
= points on circle upon which rests circle's square.

Rod

[Amigoo]

Re: "Just Puzzling" design

It's just puzzling how Quadrature relates to Pythagorean squares
... especially considering that this design began as exploration
of the sqrt(2) spiral, apparent foundation of the Pi Corral.

Regarding large dark blue circle ...
D = 4, SoCS = 2(sqrt(Pi))

Obviously, Pi are equally square! ...
on both sides of this circle's diameter.
(transcendental / 2) / 2 .. comes to mind.

Rod

[Amigoo]

Re: "Just Puzzling" design,
updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf

Quadrature's infinite nibbles of Pi by geometric Pi-ranhas.

Essential formulary of the Pi Corral:
2 / 1.7724538509055160272981674833411.. ( 2/sqrt(Pi) )
= 1.1283791670955125738961589031215.. (defines unique right triangle)
^2 = 1.2732395447351626861510701069801..

Lotsa numbas for circle-squaring right triangle
inscribed in a circle whose Circumference = 4.0

a = 1.1283791670955125738961589031215.. 2/sqrt(Pi)
^2 = 1.27323954473516268615107010698..

b = 0.63661977236758134307553505349006.. ((2/sqrt(Pi))^2)/2
x 0.92650275035220848584275966758914.. (sqrt(4-Pi))^2
= 0.58982997002716101129132484048001..
^2 = 0.34789939354224165695100130437553..

c = 1.27323954473516268615107010698.. (2/sqrt(Pi))^2
^2 = 1.6211389382774043431020714113555..

1.27323954473516268615107010698.. a^2
+ 0.34789939354224165695100130437553.. b^2
= 1.6211389382774043431020714113555.. c^2

Pop Quiz (from the School of Pi-ranhas)
Q: When is area of a circle equal to its diameter?
A: When circle's circumference = 4 = Pi(D)

When Circumference = 4.0
Diameter = (2/sqrt(Pi))^2
SoCS = 2/sqrt(Pi)
Area = (2/sqrt(Pi))^2
= Diameter

Rod ... ...

[Amigoo]

Re: "C=4~P=4" design,
added to: http://aitnaru.org/images/Yin_Yang_Pi.pdf

"I thought that Harey Pi would be the end of me."

Geometer's secret (a riddle) ...
"A whimsical blending of concepts for this quiescing
Quadraturial juxtaposition of Circumference and Perimeter."

Addition of the "Pi Fork" reveals a better Harey Pi
... which reveals Circumference (circle of a square)
and Perimeter (square of a circle) having length = 4.

In time for Pi Day, March 14, the authentic Harey Pi
In the Pi Fork's circle-squaring right triangle,
each two colored lines have sqrt(Pi) relationship.

Rod ... ...

[Amigoo]

Re: "C=4~P=4" design,
updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf

Harey's new millennium mantra ...
"The circle cannot be squared, but squared circles exist!"

New theme for Pi Day 2021 ...
The universe asks "Can you hear me now? Put your ears on!"

Voted best song for a New Millennium Pi ...
https://www.youtube.com/watch?v=ZgsUXUBpS8Qthem

Voted best Pi for a New Millennium song ...
2/sqrt(Pi) = 1.1283791670955125738961589031215..
(defines an inscribed Pythagorean right triangle*
that defines a circle and its square)

* a = sqrt(4-Pi), b = sqrt(Pi), c = 2 [or sqrt(4) = 2]

And then Pythagoras suggested
"Get Real! and ethereal! ... like me!"

Rod ... ...

[Amigoo]

Re: "C=4~P=4" design*

"Quadraturial Salience of Scalenity",
aka "The Three Ts of Q" [pronounced "three tease"]
(circle-squaring Trapezoid, right Triangle, scalene Triangle)

"Impossible" Quadrature is best savored with a real Pi Fork
where 2-line sets have sqrt(Pi) or 2/sqrt(Pi) relationship.

"So, is the circle finally squared?!"
Is it possible for the circle not to be squared?!
(yes, mathematically ... so they say)

* updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf

Rod ... ...

[Amigoo]

Re: "C=4~P=4" design
"Salience of Scalenity"

If you comprehend this esoteric geometry,
consider yourself "impossibly" mooned by symbolism
... worthy of the next Roswell craft.

Or this might be "esoterically integrated geometry
of Quadraturial perspective" (aka "Morbus iQ").


Speaking of Morbus iQ ...

Given circle-squaring right triangle
where a = sqrt(Pi), b = sqrt(4-Pi), c = 2

"impossible" ratio of Quadrature (irQ)
a/b = ((a+b)/b)-1

1.7724538509055160272981674833411.. sqrt(Pi)
/ 0.92650275035220848584275966758914.. sqrt(4-Pi)
= 1.9130583802711007947403078280204..

2.6989566012577245131409271509303.. sqrt(Pi) + sqrt(4-Pi)
/ 0.92650275035220848584275966758914.. sqrt(4-Pi)
= 2.9130583802711007947403078280204..
-1 = 1.9130583802711007947403078280204..

"Ps & Qs" of Pythagorean Quadrature:
Since a^2 + b^2 = c^2, Pi + (4-Pi) = 4


Rod

[Amigoo]

Re: "C=4~P=4" design
"Salience of Scalenity"

Better color logic (both green squares square their respective circle).
Geometry that may have potential for a labyrinth (and might attract UFOs).

Rod ... ...

[Amigoo]

Re: "42b" design*
"... or not 2b"

Concentric salience (aka "Patterns rule!").

* added to http://aitnaru.org/images/Yin_Yang_Pi.pdf

Rod

[Amigoo]

Re: "Pi Shells" design*
"The only game in town."

A Sunday night dashed doodle
where diameters increase by 2/sqrt(Pi).
Diameters of the two small circles:
top = sqrt(Pi)/2, bottom = sqrt(Pi)/4

About reference to "dashed doodle"
... to some, a coded riddle (tune).

* solo in: http://aitnaru.org/images/Pi_Shells.pdf

Rod

[Amigoo]

Re: "Pi Shells" design

Now simplified, since in this local universe ...
"She sells Pi Shells by the see shore."

Geometer's secret: It's all about 2/sqrt(Pi)
= sqrt(Pi)/(Pi/2), sqrt(1/(Pi/4)), 2(sqrt(1/Pi))
= 1.1283791670955125738961589031215..

"And the symbolism?!"
The see shore. "Come and see."
Also consider ... If "impossible" geometry
depicted seraphic transport from 606.

Rod ... ...

[Amigoo]

Re: "Boxa Q Tips" design*

Can you hear me now?!
Try a box of Q tips (about Quadrature).
"Come and see."

* added to http://aitnaru.org/images/Yin_Yang_Pi.pdf
"Final, final" ... then twice tweaked twice ... in Boxa shorts.

Who knew
There's "dotting the 'i', crossing the 't'
... and quiescing the 'Q' "

Who knew
"Seven is fundamental to universe organization."

Rod

[Amigoo]

Re: "Boxa Q Tips" design

Another line identifies two overlapping parallelograms,
each containing two adjoined identical isosceles trapezoids,
with all of these objects Boxa enclosed.

That's sum Pi "en Boxa"!
(mathematically speaking)

Rod ... ...

[Amigoo]

Re: "Boxa Q Tips" design,
updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf

Geometry nerds of Quadraturial persuasion
prefer their Qube, sliced on a diagonal.

Geometer's secret ...
Area of smaller similar circle-squaring scalene triangle
is precisely 1/4 area of largest c-s scalene triangle.

Quadrature is like a Boxa chocolates,
especially when there's '77' authenticity,
like "seventy times and seven" (159:1.4)

Rod

[Amigoo]

Re: "Boxa Q Tips" design

Geometry nerds of Quadraturial persuasion
know that Quadrature is all about pattern!

Here's the foundational Qalette,
updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf

Rod ... ...

[Amigoo]

Re: "Boxa Q Tips" design

"Lines and triangles and squares, oh my!"
... and isosceles trapezoids.

Today's best T-shirt (or poster) sub-title:

Get out of your box ...
with geometry of Quadrature

Rod

[Amigoo]

Re: "Boxa Q Tips" design,
simplified: http://aitnaru.org/images/Yin_Yang_Pi.pdf

Boxa Q is not related to: https://en.wikipedia.org/wiki/77_Sunset_Strip
... but Ginchy! that "Private investigator" is "Pi".

Caution: You'll soon be "Piling up Zs" ...
if you stay in the Q past your comprehension, like this Qiddle:

The large isosceles trapezoid is divided into 4 similar trapezoids,
but one of them is further divided into 2 unadjoined objects.
Pop Quiz: What are those two shapes

Rod ... ...

[Amigoo]

Re: "Simply Scalenifiable" design,
updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf

The long elusive quest of Morbus Cyclometricus:
the circle is squared when it's simply "scalenifiable".
Who knew

Geometer's secret ...
A scalenifiable triangle consists of two right triangles,
both adjoined and overlapping, that unfold and fold
into another scalenifiable triangle via sqrt(2).

"Say what ?!" Morbus Cyclometricus
where sqrt(2)/2 = 0.7071067811865475244..

Speaking of "simply", this geometry proves that,
in two circles having sqrt(2) relationship, lines representing
a side of circle's square (SoCS), also have sqrt(2) relationship.

Therefore, Pi must be evenly divisible by sqrt(2).
"Say what ?!" Morbus Cyclometricus

Rod

[Amigoo]

Re: "Simply Scalenifiable" design

Intuitively, geometry nerds know that Quadrature
is all about "Lines and triangles and squares, oh my!",
but it takes the influence of Morbus Cyclometricus
to elevate Cartesian geometry to a spiritual level!

Obviously, Noah had such comprehension of Quadrature
in order to get all those "seven, seven" animals aboard:
(Genesis 7:2–3) "seven pairs of all clean animals ...
and seven pairs of the birds of heaven".


The appearance of a plateau today suggests that
Quadrature is all about the Quest - not the goal!

Be confident and nurture your inner animals -
your ark is destined for the shores of Paradise!
... if that be your desire.


Rod ... ...

[Amigoo]

Re: "Sevens Squared" design,
added to: http://aitnaru.org/images/Yin_Yang_Pi.pdf

When parallel universes adjoin (as perceived by geometry nerds
of Quadraturial persuasion), reflecting the '7' of universe foundation.

Who knew
Divinity of the Grand Universe is defined by the series 1, 3, 7
"Say what?!" Oops - wrong venue!

Pop Quiz for geometry nerds of Quadraturial persuasion:
"Red Rover, Red Rover, send scalenity on over."

Part 1: With respect to geometric objects, explain this quote.
Part 2: Draw what happens when "scalenity comes over".

Rod ... ...

[Amigoo]

Re: "Sevens Squared" design

Regarding Rover's over, on the way to Paradise
crossing the E~R Bridge is a one-time event.

"you may pass over it, but you should not think
to build a dwelling place upon it” ... however,
some people linger longer than others.

Re: "Sevens Cubed" design*
"Another Boxa Pi from which to think outside of."

Red Rover, Red Rover ... be square or get cubed trying!

* added to: http://aitnaru.org/images/Yin_Yang_Pi.pdf

Rod

[Amigoo]

Re: "Sevens Cubed" design*
(further exploration of Sevens Squared)

Who knew
There are two sets of adjoined prisms, depending on your surveillance.
"Say what ?!" Morbus Cyclometricus

Not to worry! Crop circles ("created by morontia machines
programmed from above") will reflect similar complexity
when programmed from the "Seventh Heaven".

Until then, "Be square or get cubed trying!"
(think outside the box to continue your journey)

See also:
https://en.wikipedia.org/wiki/Seven_Heavens
"The concept ... can be found in Judaism, Christianity, and Islam"
and UB 47:9 "The Seventh Mansion World"
"the crowning achievement of the immediate postmortal career."

* updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf

Rod ... ...

[Amigoo]

Re: "Sevens Cubed" design

Who knew
The common complaint about all seven tour guides
on the E~R Bridge is that they have such plane views,
circular reasoning, and square perspective.

Of course! A Boxa Pi is never "fast food".

Rod