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Re: Paradise Trinity Day

Posted: Tue Dec 18, 2018 8:35 am
by Amigoo
:sunflower: 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. 8)

Rod ... :bike: ...

Re: Paradise Trinity Day

Posted: Tue Dec 18, 2018 4:53 pm
by Amigoo
:sunflower: 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

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

Rod :D

Re: Paradise Trinity Day

Posted: Wed Dec 19, 2018 8:03 pm
by Amigoo
:sunflower: Re: Plane2C_iQ design (more lines)

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

:scratch: Who can tell ?!
"E-R" may refer to "Epochal Revelation" 8)

Rod ... :bike: ...

Re: Paradise Trinity Day

Posted: Thu Dec 20, 2018 3:58 pm
by Amigoo
:sunflower: Re: Plane2C_iQ design
The caged Pi sings
:geek: Geometers' secret ...
Sides of the "bird cage" square have sqrt(2) relationship
to the sides of the decahedron's perimeter. HCIT! :roll

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

Rod :D

Re: Paradise Trinity Day

Posted: Thu Dec 20, 2018 9:02 pm
by Amigoo
Re: https://www.investmentwatchblog.com/wev ... r-the-hig/

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

Rod :meds:

Re: Paradise Trinity Day

Posted: Fri Dec 21, 2018 6:56 am
by Amigoo
:meds: must be the cause! (previous post belonged to a different topic)


:sunflower: Re: Plane2C_iQ design

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

:farao: 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." 8)

Rod :)

Re: Paradise Trinity Day

Posted: Fri Dec 21, 2018 7:39 am
by Amigoo
:sunflower: 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 :D

Re: Paradise Trinity Day

Posted: Fri Dec 21, 2018 8:03 am
by Amigoo
:sunflower: Re: Plane2C_iQ design
Geometers' secret (confession) ... :oops:

:!: "Dodecahedron" is a different, more symmetric geometric shape -
Plane2C~iQ is described as "dodecahedron" because of its 12 faces:
. 8) . 8) . 8) . 8) . 8) . 8) . 8) . 8) . 8) . 8) . 8) . 8) .

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

Rod ... :bike: ...

Re: Paradise Trinity Day

Posted: Fri Dec 21, 2018 1:55 pm
by Amigoo
:sunflower: 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. :roll:

Rod :D

Re: Paradise Trinity Day

Posted: Sat Dec 22, 2018 4:44 pm
by Amigoo
:sunflower: 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. ;)

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

Rod ... :bike: ...

Re: Paradise Trinity Day

Posted: Sun Dec 23, 2018 11:51 am
by Amigoo
:sunflower: Re: Plane2C_iQ design

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

Rod :D

Re: Paradise Trinity Day

Posted: Tue Dec 25, 2018 1:23 pm
by Amigoo
:sunflower: Re: Plane2C_iQ design
Cartesian concepts o'er the E-R Bridge

:geek: 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 :)

Re: Paradise Trinity Day

Posted: Tue Dec 25, 2018 7:13 pm
by Amigoo
:sunflower: Re: Plane2C_iQ design
Cartesian concepts o'er the E-R Bridge

:geek: 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. 8)

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). ;)

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

Rod ... :bike: ...

Re: Paradise Trinity Day

Posted: Tue Dec 25, 2018 8:08 pm
by Amigoo
:sunflower: 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. :shock:

Rod :D

Re: Paradise Trinity Day

Posted: Fri Dec 28, 2018 8:22 am
by Amigoo
:sunflower: Re: Plane2C_iQ design
Cartesian concepts o'er the E-R Bridge

:scratch: Who knew :?: :!:
This quadrahedron has eyes! :shock:

Rod :)

Re: Paradise Trinity Day

Posted: Fri Dec 28, 2018 5:55 pm
by Amigoo
:sunflower: Re: Plane2C_iQ design
Cartesian concepts o'er the E-R Bridge

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

Rod ... :bike: ...

Re: Paradise Trinity Day

Posted: Sat Dec 29, 2018 9:47 am
by Amigoo
:sunflower: Re: Plane2C_iQ design
Cartesian concepts o'er the E-R Bridge

Long Story Short: Patterns Rule! ;)

Rod :D

Re: Paradise Trinity Day

Posted: Sat Dec 29, 2018 4:28 pm
by Amigoo
:sunflower: 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" :roll:

Rod :)

Re: Paradise Trinity Day

Posted: Sun Dec 30, 2018 10:10 am
by Amigoo
:sunflower: Re: Plane2C_iQ design
"When o'er the E-R Bridge, I eat Pi" :roll:

:geek: 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. :finger:

At least, sqrt(2) is shown to keep pace with transcendental Pi. 8)

Rod :stars:

Re: Paradise Trinity Day

Posted: Sun Dec 30, 2018 3:53 pm
by Amigoo
:sunflower: Re: Plane2C_iQ design
"When o'er the E-R Bridge, I eat Pi." :roll:

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

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

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

aka "Sqrt(2) eats Pi." ;)

Rod ... :bike: ...

Re: Paradise Trinity Day

Posted: Mon Dec 31, 2018 3:22 am
by Amigoo
:sunflower: Re: Plane2C_iQ design
"When o'er the E-R Bridge, I eat Pi." :roll:

:scratch: Who knew :?: :!:
There lurks a Quadraturial Cube (Qube). :o

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

Rod :D

Re: Paradise Trinity Day

Posted: Tue Jan 01, 2019 8:48 pm
by Amigoo
:sunflower: Re: Plane2C_iQ design
"When o'er the E-R Bridge, I eat Pi." :roll:
There lurks a Quadraturial Cube (Qube)
... and within the Qube, T'arcs
(qube Teaser arcs, aka "Q'arcs") ;)

Rod ... :bike: ...

Re: Paradise Trinity Day

Posted: Tue Jan 01, 2019 10:40 pm
by Amigoo
:sunflower: Re: Plane2C_iQ design
Quadraturial Cube (Qube w/ T'arcs)
… or tri-familial parallelograms?
Ultimately, quadraturial quietus. :roll:
2019 resolution: www .aitnaru .org will expire
(after being converted to downloadable PDF; :finger:
site's URL will be unavailable for a year)

Rod :)

Re: Paradise Trinity Day

Posted: Wed Jan 02, 2019 2:29 pm
by Amigoo
:sunflower: 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." :roll:

Rod :)

Re: Paradise Trinity Day

Posted: Fri Jan 04, 2019 4:22 pm
by Amigoo
:sunflower: Re: Plane2C_Qube design

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

Rod :)