Paradise Trinity Day

[Amigoo]

Re: Plane2C_iQ design ("impossible" Quadrature)
(updated in: http://aitnaru.org/images/Khristos_Voskrese.pdf )

Apparently, this geometry defines a dodecahedron

Who knew
"Dodecaphobia" might next refer to fear of the Quadraturial docdecahedron
... especially since "dodecaphobia" contains twelve letters.

Rod ... ...

[Amigoo]

Re: Plane2C_iQ design

Apparently, this geometry defines a dodecahedron

"Star fish" came to mind first, but now I would say "sand dollar":
https://www.mnn.com/earth-matters/anima ... nd-dollars

Who knew?! The five segments of a bleached white sand dollar
mysteriously parallel the five triangles of Plane2C~iQ geometry.

Rod

[Amigoo]

Re: Plane2C_iQ design (more lines)

aka "The caged Pi sings" ...
or keeps snoozing o'er the E-R Bridge.

Who can tell ?!
"E-R" may refer to "Epochal Revelation"

Rod ... ...

[Amigoo]

Re: Plane2C_iQ design

The caged Pi sings

Geometers' secret ...
Sides of the "bird cage" square have sqrt(2) relationship
to the sides of the decahedron's perimeter. HCIT!

... and suggesting that the 6-sided perimeter
can be calculated from dimensions of a square!
... ever closer to performing Quadrature.

Rod

[Amigoo]

Re: https://www.investmentwatchblog.com/wev ... r-the-hig/

While communication devices' radiation negative effect is still accumulating,
device-facilitated "spying" is oft in the news, with 5G networks o'er the horizon!

Rod

[Amigoo]

must be the cause! (previous post belonged to a different topic)


Re: Plane2C_iQ design

Geometers' secret ...
"Caged Pi" refers to all the surrounding sqrt(2) action in this Cartesian composition.

About the "sand dollar" ...
(dodecahedron with five 45-degree angles and one 135-degree angle per side)

Re: http://www.dodecahedron.us/Dodecahedron.html

"The Dodecahedron has been a source of metaphysical interest for at least 2000 years. Like a crystal or gem, its facets and symmetries compel our eyes and hearts to observe life more deeply. Some have believed that the Dodecahedron represents an idealized form of Divine thought, will, or idea. To contemplate this symbol was to engage in meditation upon the Divine. Today many people believe there is a lost knowledge residing in the past, slowly being rediscovered. It is known that figures like Pythagoras, Kepler, and Leonardo, among many, were educated in these Sacred Geometries, and held many beliefs about them and their role in the Universe."

Rod

[Amigoo]

Re: Plane2C_iQ design

Who knew "The Caged Pi Sings"
is a great title for a new opera about Quadrature and its history.
("opera" because music is important to this story)

Rod

[Amigoo]

Re: Plane2C_iQ design
Geometers' secret (confession) ...

"Dodecahedron" is a different, more symmetric geometric shape -
Plane2C~iQ is described as "dodecahedron" because of its 12 faces:
. . . . . . . . . . . . .

Who knows what its real shape would be called
Maybe a name so sacred it cannot be spoken
... since the geometry might be "imaginary".

Rod ... ...

[Amigoo]

Re: Plane2C_iQ design

Who knew
The apple o'er the E-R Bridge is nibbled from both sides! Arc Arc
(arcs help identify 3 circles joined on shared side of inscribed square)

Note: In ethereal space an apple can appear blue.

Rod

[Amigoo]

Re: Plane2C_iQ design

Been trying almost daily for several weeks to decode this geometry,
but sqrt(2) keeps getting in the way Obviously, a geometric clue
to the long-proven "impossible" Quadrature.

1.4142135623730950488016887242097..
"Either sqrt(2) is transcendental or Pi is not"

Rod ... ...

[Amigoo]

Re: Plane2C_iQ design

Simplified because ...
Once a mind ventures o'er the E-R Bridge
"I think therefore I am ... thinking ... I think."

Rod

[Amigoo]

Re: Plane2C_iQ design
Cartesian concepts o'er the E-R Bridge

Geometers' secret:

Plane2C geometry shows two circles squared, sharing a side of their inscribed squares,
enclosing three circles squared, sharing two sides of their inscribed squares. HCIT

Rod

[Amigoo]

Re: Plane2C_iQ design
Cartesian concepts o'er the E-R Bridge

Geometers' secret Pi:

In the Plane2C design, length of the vertical line in the smallest circle
has 1/Pi relationship to length of the diameter of that largest circle.

1/Pi = 0.31830988618379067153776752674503..
2(sqrt(1/Pi)) = 1.1283791670955125738961589031215..
= ratio of line lengths in circle-squaring right triangle
= 2/sqrt(Pi) = sqrt(Pi)/(Pi/2).

All the Pi you can eat ...
transcendentally speaking ...
once o'er the E-R Bridge.

Rod ... ...

[Amigoo]

Re: Plane2C_iQ design
Cartesian concepts o'er the E-R Bridge

A few lines were added to give 1/Pi teeth
and supporting personal perception that
sqrt(2) eats Pi.

Rod

[Amigoo]

Re: Plane2C_iQ design
Cartesian concepts o'er the E-R Bridge

Who knew
This quadrahedron has eyes!

Rod

[Amigoo]

Re: Plane2C_iQ design
Cartesian concepts o'er the E-R Bridge

In 2019, beware The Wrath of 2
( sqrt(2) plans to eat more Pi )

Rod ... ...

[Amigoo]

Re: Plane2C_iQ design
Cartesian concepts o'er the E-R Bridge

Long Story Short: Patterns Rule!

Rod

[Amigoo]

Re: Plane2C_iQ design

2018 favorite slogan for a T-Shirt
and expression in Urban Dictionary:

"When o'er the E-R Bridge, I eat Pi"

Rod

[Amigoo]

Re: Plane2C_iQ design
"When o'er the E-R Bridge, I eat Pi"

Another conceptualization of Pi (re: sqrt(2)) is the isosceles right triangle
with hypotenuse as circle's diameter: a side associates with 1/4 of circumference;
continually dividing triangles in half associates with smaller arcs of circumference
... perhaps until a "Pi twin" is revealed.

At least, sqrt(2) is shown to keep pace with transcendental Pi.

Rod

[Amigoo]

Re: Plane2C_iQ design
"When o'er the E-R Bridge, I eat Pi."

Quadraturial integration of sqrt(2)
via inscribed isosceles right triangle:

Ratios of Diameter to Circumference
2 : Pi ~ sqrt(2) : Pi/2

Means divided by Extremes
4.4428829381583662470158809900607.. Pi(sqrt(2))
/ 3.1415926535897932384626433832795.. 2(Pi/2)
= 1.4142135623730950488016887242097.. sqrt(2)

aka "Sqrt(2) eats Pi."

Rod ... ...

[Amigoo]

Re: Plane2C_iQ design
"When o'er the E-R Bridge, I eat Pi."

Who knew
There lurks a Quadraturial Cube (Qube).

(added to http://aitnaru.org/images/Khristos_Voskrese.pdf
and appended as the new "Plane2C_Qube" design).

Rod

[Amigoo]

Re: Plane2C_iQ design
"When o'er the E-R Bridge, I eat Pi."

There lurks a Quadraturial Cube (Qube)

... and within the Qube, T'arcs
(qube Teaser arcs, aka "Q'arcs")

Rod ... ...

[Amigoo]

Re: Plane2C_iQ design

Quadraturial Cube (Qube w/ T'arcs)
… or tri-familial parallelograms?
Ultimately, quadraturial quietus.

2019 resolution: www .aitnaru .org will expire
(after being converted to downloadable PDF;
site's URL will be unavailable for a year)

Rod

[Amigoo]

Re: Plane2C_Qube design

Socially speaking, the old "square" is now "qube" ...
as in "Sorry, this party is for circlers - not qubes!" ...
or "Cast aside conventions and qubic thoughts!" ...
or "CSC to infinity! in qubic quadrature."

Rod

[Amigoo]

Re: Plane2C_Qube design

Revised coloring to highlight ...
essence of SymiQ (pronounced "sih 'meek"),
the Symmetry of "impossible" Quadrature.

Rod