Paradise Trinity Day

[Amigoo]

Re: Tenetcy of Quadrature design

Found a web page for its display: http://aitnaru.org/threepoints.html

"Answers “What’s the point?" (about squaring circles). A unique right triangle (3 points) contains
the defining hypotenuse-to-long-side ratio of 1.128379167095512573896.. = 2(sqrt(1/Pi));
complementing scalene triangle is also circle-squaring in this Tenetcy of Quadrature."

Rod

[Amigoo]

Re: Tenetcy of Quadrature design

"Squared-circles-defining geometric integration
of uniquely similar scalene and right triangles,
ubiquitous objects in circles all squared"

"Say what?!"

A picture of quadrature is worth a thousand words
... or at least 18.

Rod ... ...

[Amigoo]

Re: Precision of Fourths design
(sounds like "Precision of Force")

When squared circles geometry prefers to speak for itself
... and embellishes its eloquence with scalene triangles,
geometers can only observe and be inspired.

Rod

[Amigoo]

Re: Precision of Fourths design
(sounds like "Precision of Force")

Evidence that this “Pi Corral” limits transcendental Pi with a factor of 16?
(re: dimensions of the two golden scalene triangles)

"Say what?! '3' seems to be the controlling value!"

Not so fast , geometer junior!
In this CSC Cartesian neighborhood, sqrt(2) is the controller!

"Well ... then '4' must be the controlling value!"

Getting warmer, geometer junior! 4 x 4 = 16
re: Geometry 101 and sqrt(2)

Rod ... ...

[Amigoo]

Re: Precision of Fourths design
(sounds like "Precision of Force")

this “Pi Corral” limits transcendental Pi with a factor of 16 ?

BTW: This geometry supports real science (15 digits of Pi are sufficient) ...

Re: https://www.jpl.nasa.gov/edu/news/2016/ ... ally-need/
"For JPL's highest accuracy calculations, which are for interplanetary navigation, we use 3.141592653589793"

16 digits of Pi: 3.1415926535897932

Rod

[Amigoo]

Re: Precision of Fourths design
(sounds like "Precision of Force")

Updated in http://aitnaru.org/images/The_Right_Triangle.pdf

"Precision of Fourths, 1/16 of a slice of Pi"
"Evidence that a 'Pi Corral' can limit transcendental Pi by a factor of 16?"

Rod

[Amigoo]

Re: Scintillating Integration Correlated (SIC) design
aka "Sic Erat Scriptum" (thus was it written)

Obviously, this geometry has to speak for itself ...
it's just that complex with correlating parallelograms
... all in a CSC Cartesian Neighborhood.

Rod

[Amigoo]

Re: Scintillating Integration Correlated (SIC) design
aka "Sic Erat Scriptum" (thus was it written)

Completed just in time for the Squared Circles Soirée
held on Leftover Pi Day, Julian 314 (November 10 in 2017)

Highlights the closing Dance of Parallelograms.

Rod

[Amigoo]

Re: Scintillating Integration Correlated (SIC) design
aka "Sic Erat Scriptum" (thus was it written)

Who knew
Within every parallelogram are two identical trapezoids

And within each set of these overlapping trapezoids
are a right triangle and a scalene triangle ...
both of which square the circle!

Don't be surprised if some Squared Circles Soirée
features party poppers designed like this geometry
(red and magenta triangles are pull tabs).

Rod ... ...

[Amigoo]

Re: Scintillation Integration Correlation (SIC) design
aka "Sic Erat Scriptum" (thus was it written)

Incidentally ...

Honorary guest of honor at the Squared Circles Soirée
is the new constant 2(sqrt(1/Pi)), displayed in SIC
as the diameter of the smallest light blue circle.

Diameter of largest circle = 2(sqrt(2)) x 2(sqrt(1/Pi))
(algebraic simplification is permitted)

Alas, the squared circles caged bird is free ...

Rod ... ...

[Amigoo]

Re: Scintillation Integration Correlation (SIC) design
aka "Sic Erat Scriptum" (thus was it written)

"Honorary guest of honor" What's this? Super honor?

About simplification of large circle's diameter ...
Since 2(sqrt(1/Pi)) = 2/sqrt(Pi),
4((sqrt(2)/sqrt(Pi)) is an option.

Rod

[happyrain]

hi rod.
I have no clue what most of this stuff means. I was going to ask you how you felt about geometry? I’m watching an episode of ancient aliens and they’re talking about the Nazca lines, crop circles, and other similar geometric communications. They talked about a snake being imbed in the earth where a meteor hit indicating the importance in the element carried over on the meteor... no doubt geometry is a language and an art- so I was curious as to your mission here with this language and what this all means to you.

It’s a sober night here... that’s a good thing

[Amigoo]

Yes, this geometry research seems to be a mission ... with symbolism for the future. After many thousands of hours of research, I'm still in agreement with mathematicians who have "proven" that a circle cannot be squared. However, I'm seeing convincing geometry that "proves" that squared circles exist!

Is "You can't get there from here!" the message?
... even though there exists!

Rod

[Amigoo]

Re: Scalenitation Integration Correlation (SIC) design
aka "Sic Erat Scriptum" (thus was it written)

A certain quadrilateral includes both the circle-squaring right and scalene triangles.

How is it possible that we cannot square the circle,
but squared circles exist ... according to this geometry.

Re: https://www.youtube.com/watch?v=If3SXJeZzMQ

"There is a fifth dimension beyond that which is known to man. It is a dimension as vast as space and as timeless as infinity. It is the middle ground between light and shadow, between science and superstition, and it lies between the pit of man's fears and the summit of his knowledge. This is the dimension of imagination. It is an area which we call the Twilight Zone"

Rod ... ... (cruisin' in the no parking Zone)

[Amigoo]

Re: The Quadrilateral design

For November 4th, a squared circle simplified:
http://aitnaru.org/images/The_Right_Triangle.pdf

Rod ... ... ooooooo oo

[Amigoo]

Re: The Quadrilateral design
aka "Quadrilateral Triumphant"

"Is the circle squared?"
That's known on the Q.T.

Rod

[Amigoo]

Re: The Quadrilateral design
(aka "Pi.25")

"Pi.25" alludes to this geometry's proof that a squared circle
(therefore, Pi itself) can be evenly divided by 4 ...
and if 4, then all increments of 2.

This proof is facilitated by sqrt(2) dominance
of the Cartesian Neighborhood in this CSC construct.

Geometers' secret:

The left and right sides of the largest quadrilateral
can each be subdivided into 4 similar triangles.
One triangle from each of the two groups proves
the geometric division by 4.

Rod

[Amigoo]

Re: The Trilateral design
(aka "The Scalene")

Focus on circle-squaring scalene triangles in similar quadrilaterals,
one a sibling of the other (D = side of other's inscribed square).

New geometry term: Squarene Triangle,
the scalene triangle that squares the circle.

New geometry term: Squaright Triangle,
the right triangle that squares the circle.

Rod ... ... (shoppin' for more idea bulbs)

[Amigoo]

Re: The Trilateral design
(aka "The Scalene")

New geometry term: Squarene Triangle
New geometry term: Squaright Triangle

Hmmm ... these terms suggest Squadrilateral,
a quadrilateral containing an integrated circle-squaring right
and circle-squaring scalene triangle

By definition, the presence of either a Squarene
or Squaright triangle effectively creates this trinity,
a geometric composition called "Squadrilateral".

Rod

[Amigoo]

By definition, the presence of either a Squarene
or Squaright triangle effectively creates this trinity,
a geometric composition called "Squadrilateral".

Since each triangle identifies the diameter of the circle squared,
this question is answered: "Which came first, the circle or the square?"

Neither circle nor square - the Trinity came first

The Rod Squad ... ... ... ...

[Amigoo]

Re: The Trilateral design

... ... (shoppin' for more idea bulbs)

Note how the two circles contain a similar pentagon, pentagons
anchored on the hypotenuse and side of a small isosceles right triangle!
(think "sqrt(2)", host of these Cartesian Neighborhoods. )

Hmmm ... Squarene, Squaright, Squadrilateral
... what's the 5-sided object? a Squadragon
a squared circles dragon!

" Lines and triangles and squares! Oh, Pi "

Rod

[Amigoo]

Re: The Trilateral design

Despite intense focus on the Squadragon ...
beware of the Squadrezoids and Squadrogram.

Rod

[Amigoo]

Re: Source and Center design

A study of squared circles scalenity and its trinitarian ambience,
a "work in progress" until the distant age of light and life.

Rod

[Amigoo]

Re: Source and Center design

16 adjoined circle-squaring scalene triangles surround the center.

Small golden circle in the center represents the Isle of Paradise
and the outer golden circles represent the many inhabited planets,
as contrasted with the immensity of The First Source and Center.

Rod ... ...

[Amigoo]

Re: Source and Center design

16 adjoined circle-squaring scalene triangles surround the center

This geometry was constructed from the ring of adjoined scalene triangles
and resulting "ley lines" seemed to define a large squared circle, but how

The outer perimeter was added to show such a squared circle,
sans the scalene triangles that exist within these circles.

Rod