Paradise Trinity Day

[Amigoo]

Re: COSmic Entanglement design
(another "smile of Pythagoras")
(quantum humor)

with "COS" referring to: "Which came first, Circle Or Square?"
and "Entanglement" alluding to: Quantum Entanglement

Rod ... ...

[Amigoo]

Re: My tSquare design (pronounced "Mighty Square")

When visualizing movement of the objects, a trapezoid is formed
that effectively defines the squares of the two circles.
"But wait! There's more!" (some day soon)

Rod

[Amigoo]

Re: My tSquare design

"But wait! There's more!"

Once the lines were colored, it was obvious ("There's more!")
... but the more is not in this Cartesian neighborhood
... apparently.

Rod ... ... (off to find more of less entanglement)

[Amigoo]

Re: My tSquares design

"But wait! There's more!"

There is more in this Cartesian neighborhood, but the lines were waiting
for me to recall the lesson: "Squared circle geometry is complex!"

I'm beginning to suspect that lines and objects will simply drop out of
the Cartesian work space if I make one more attempt to find simplicity.

"tSquares" is now plural because of the commanding presence
of the 3 adjoined, inscribed squares in the center of the design ...
which accompany 3 trapezoids, 3 squared circles, and who knows
how many scalene triangles of similar persuasion!

Rod

[Amigoo]

Re: Circular Points Squared design

"But wait! There's more!"

While this geometry is not simplicity discovered, it has a comforting "look & feel"
for promoters of squared circles (POSC, pronounced "posse"*). Relative to some recent
geometry designs of unquestioned complexity, this Circular Points Squared geometry
is already visually convincing ... and should require only that I draw it accurately
and paint it with contrasting colors.

* Not associated with the U.S. Posse Comitatus Act of 1878,
albeit a timely reminder that such Act is indeed "the law".

Rod

[Amigoo]

Re: Circular Points Squared design
"Behold impossible incandescence!"

Well ... a bit more complex than anticipated,
but illumination is illumination regardless of source.
Got illumination ... yet?

Rod ... ... (off for R&R - “Third time’s a charm”)

[Amigoo]

Re: Circular Points Squared design
"Behold impossible incandescence!"

This finally makes sense (after adding more lines):
"To square the circle, you must circle the square."

... but "circle the square" has several meanings
in this mysterious Cartesian neighborhood.
... and "incandescence" = "illumination"?

Rod

[Amigoo]

Re: Kaleidoscalene design
(pronounced: kah 'lie ''dose kah leen)

"Dose" deserves the greater accent [like Spanish dos (2)] because two overlapping
scalene triangles began this next search for simplicity ... which included the
recurring lesson ("Stop searching for simplicity!"): a kaleidoscope of overlapping
geometric objects quickly appeared in this Cartesian neighborhood.

The mental effort required to discover patterns in such complex geometry
and then to plan colors and covert the geometry to design is causing multiple
naps a day (because of the mental work and overwhelming visual input).

A real and rational R&R is anticipated after this design graduates!
"Third time's the charm - fourth time's the justice".

Rod ... ...

[Amigoo]

Re: Kaleidoscalene design
(pronounced: kah 'lie ''dose kah leen)

and covert the geometry to design

"Convert" was intended but "covert" works since
these designs seem to distract from the geometry.

Design completion planned for Pi Day, 2016 (March 14)
with "Convincing Symmetry" the grand theme.

Rod

[Amigoo]

Re: Kaleidoscalene design
(pronounced: kah 'lie ''dose kah leen)

Well ... this is some tough Cartesian neighborhood!
I've strolled through a few times, but haven't settled on a street corner
for my Squared Circles Vending Cart. I'm about to get motivated since
competition is nearby: Circular Bargain Bins (new design).

If I find tasty Pi in one of the bins, I'll be on a rolling round soon.

Rod

[Amigoo]

Re: Circular Bargain Bins design
"Sorry, this Transcendental Pi is simply irrational."

Just a "once over" for the design since these are bargain bins.

This portfolio is full-figured already, but should be Phi-n for Pi Day:
http://aitnaru.org/images/Tripartite_Soul.pdf

Rod ... ...

[Amigoo]

Re: Kaleidoscalene design
(pronounced: kah 'lie ''dose kah leen)

Mysteriously, the "box" theme again appeared (re: Circular Bargain Bins),
repeating the universe mandate to "think outside the box" if we ever expect
to discover the real Powers That Be in our local universe.

Kaleidoscalene is now on schedule for Pi Day, 2016 (3.14)

Rod

[Amigoo]

Re: Kaleidoscalene design
(pronounced: kah 'lie ''dose kah leen)

Online version: http://aitnaru.org/lighttruth.html
"To square the circle, you must circle the square."

Not your average kaleidoscope, but ...
typical for "impossible" squared circles.

Rod ... ...

[Amigoo]

Re: Kaleidoscalene design
(pronounced: kah 'lie ''dose kay leen)

Online version: http://aitnaru.org/lighttruth.html
"To square the circle, one must circle the square."

Long story short: the latest update created symbolism of spectacles;
I tried them on and noticed a misspelling in the pronunciation.
(pronunciation corrected above)

Now this geometry looks precise enough for 3.14
and a complementary focus: Choconut Marshmallow Pi
http://board.1111angels.com/viewtopic.p ... 25#p191592
Hmmm ... 3.14 cups? Probably 4 cups, rounded.

Rod

[Amigoo]

Re: kFOCI design
(kaleidoscalene Focus On Cartesian Illumination)

Further exploration of the Kaleidoscalene geometry
with more of the foundational lines displayed (including
the two primary, overlapping scalene triangles).

Squaring the Circle on Pi Day is a piece of cake
... if you can find a piece of cake on the buffet.

Rod

[Amigoo]

Re: kFOCI design
(kaleidoscalene Focus On Cartesian Illumination)

kFOCI seemed hopeless for a 3.14 presentation ...
until I remembered that, for squared circle geometers,
Pi is found inside the box, but thinking must be outside.

Rod ... ...

[Amigoo]

Re: kFOCI design
(final update for Pi Day and other daze)

On Pi Day (tomorrow, 3.14), it's OK to think outside the box
... while you enjoy a sector (or two) of your favorite pie.

What?! Your pie is not circular? A no-Pi pie?
Now, that's thinking outside the box!

kFOCI = kaleidoscalene Focus On Cartesian Illumination

Rod

[shaelan]

Hi Rod

I sat and pondered about that picture and your updates you sent for a little while now. I believe circles are everywhere and even the face of our planet is a circle. To square that up is an amazing idea. However, one must eat pie within their circles to fully reflect the circle of life. A circle is never ending, has no end and no beginning, simple, nothing and everything.

I think the world is a closed system right now for majority of people and in fact it is a closed system with air as the glass cage . Yet new ideas are always surfacing, pushing us to newer circles. If this was truly a closed system, you wouldn't think the way you do. None of us would.

These are the feelings I feel when prompted. Like the entire energy of this planet is rising and I am here to see that. I see connections in the smallest places now even in those places that isn't really a place, space between the electrons and nucleus of an atom. An energy connection. We have a universe of energy in us already.

By will alone, anything is achievable. With Gods's will through you then nothing is impossible.I pray for a world where everyone are superheroes .

Shaelan

Thank you 11:11 Progress Group. You guys do really do great superhero work.

[Amigoo]

Re: Deus Ex Testimonium design
"Like Father like Son"

Such an esoteric message for 3.14
Is it possible that any true path to infinity
is easier than any search of complexity?

Rod ... ... (off to recalibrate my internal GPS)

[shaelan]

Hi Rod

I have also looked at the complexity of this design and in some ways it does point to certain geometric shapes. I couldn't fully understand it, perhaps you can. http://www.sacred-geometry.com/

Shaelan

[Amigoo]

Shaelan,

The geometry of a squared circle may be the most "sacred" of sacred geometry since, according to advanced mathematicians, such geometry cannot be created ("squaring the circle is impossible"). In recent centuries, a squared circle has even been considered the symbolic meeting of heaven and earth - a future event, not possible until decreed by the celestial beings who are the true administration of our intelligent universe.

After years of research, I believe that squared circles do exist in the universe, but "squaring the circle" (by the Greek rules for this Cartesian geometry challenge from antiquity) is still impossible ... apparently. However, if squared circles do exist, geometric proof would be a logical next step; a method of "squaring the circle" (by the "rules") might then be found.

A certain scalene triangle*, inscribed in a circle and integrated with an isosceles trapezoid (also inscribed), has been appearing often in my patterns research for the past few years. Sacred geometry, as promoted by expert geometers, is definitely entertaining and enlightening. But only such geometers who "think outside the box" of advanced mathematics will be able to confirm the foundational geometry of a squared circle (described below) in my opinion.

* This circle-inscribed scalene triangle is identified by a 45-degree angle, with one side having length equal to one side of a square inscribed in the circle, and an adjoining side (45 degrees between these sides) having length equal to a side of the area square of the circle. Two similar, overlapping scalene triangles form the identifying isosceles trapezoid. Incidentally, this circle-squaring geometry presents obvious integration of the square root of Pi and the square root of 2.

Rod

[Amigoo]

Regarding the "foundational geometry" of a squared circle ...

"one side having length equal to one side of a square inscribed in the circle, and an adjoining side (45 degrees between these sides) having length equal to a side of the area square of the circle."

The 45-degree angle is between the two longest sides of the scalene triangle: these two sides form a 'V' with the opposite end of each side attached to either end of the shortest side of the triangle (a side of a square inscribed in the circle).

Rod

[shaelan]

Rod

What about a diamond?

Shaelan

[Amigoo]

Shaelan,

I suspect that a very specific diamond (equilateral parallelogram; a unique rhombus with side lengths relative to the circle's dimensions) that squares the circle does exist. But the Greek rules do not permit measurement of angles and line lengths. How can such a unique diamond be created?

In the years of my research, I have not found obvious circle-squaring identity in any shape except the unique scalene triangle (described earlier) ... and even this geometric object cannot be created entirely by the Greek rules. Also, considering the tens of thousands of hours of research experience since 2008, I would no longer focus on any other geometric object as the primary foundation of a squared circle.

By the way ... There are potentially four similar, overlapping scalene triangles, all inscribed in the same squared circle, that define two overlapping inscribed squares with the triangles' four 45-degree points equidistant (90 degrees) on the circumference of the circle. Mysteriously, the transcendence of Pi seems to disappear in this "Pi corral".

Re: http://aitnaru.org/homepage/freewill.html

This design, albeit with two concentric sets of overlapping inscribed squares (and scalene triangles not drawn), displays the "points equidistant" geometry. However, the necessary points on the two circles are present to construct the respective scalene triangles.

Rod

[shaelan]

Thank you Rod

How does this relate to Paradise Trinity Day?

Shaelan