Paradise Trinity Day

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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: Pi Are Square design
Time is not a thing, but a measure of (some)thing
:geek: Geometers' secret ...

Line length ratios of the 6 lines of the Pi Fork* (green):
2/sqrt(Pi), 2/sqrt(Pi), sqrt(Pi), sqrt(Pi), sqrt(Pi).
* creates circle-squaring right triangle.

What to what? Go figure! :roll:
Bon Appétit !

Rod :D
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: Pi Are Square design*
Time is not a thing, but a measure of (some)thing
* updated in: http://aitnaru.org/images/Pi_Fork_n_Lute.pdf

:geek: Geometers' bonus secret ...

2/sqrt(Pi), 2/sqrt(Pi), sqrt(Pi), sqrt(Pi), sqrt(Pi), 2 8)
(dark blue lines create another ratio) Who knew?!

Rod ... :bike: ...
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: Pi Are Square design
Time is not a thing, but a measure of (some)thing
:scratch: Who knew :?: :!:
It's time to replay the "impossible" game of Quadrature. ;)

Rod :D
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Re: Paradise Trinity Day

Post by Amigoo »

:idea: About the continuing theme:
"The circle cannot be squared but squared circles exist." :roll:

Re: https://temporarytemples.co.uk/project/ ... dover-2019

This recent crop circle uses geometric objects to suggest Pi (3.14..),
but the geometry cannot show the precise angles of a squared circle ;)
(e.g., the triangle displays 60-degree increments).

:geek: First angles observed as indication of Quadrature: 62.403.., 117.597..
(relate to the trigonometry of those circle-squaring right triangles).

HCIT > 62.403.. + 117.597.. = 180 degrees 8)

Rod ... :bike: ...
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: D = 2 design

Highlights the line length ratios. :roll

:scratch: "What ratios?" Go figure! ;)

Rod :D
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: D = 2 design
"What ratios?" Go figure!
:idea: To contemplate the significance of similar ratios in this Pi Fork,
you're encouraged to sit back and rock a while, especially since ...
"The circle cannot be squared but squared circles exist." ;)

Rod ... :bike: ...
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: D = 2 design

aka "R2D2" (Ratios too where D=2) :roll:

Rod :D
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: D = 2 design
aka "R2D2" (Ratios too where D=2)
:geek: In the spirit of R2D2, the '8' suddenly appeared,
highlighting the geometric foundation of a circle squared:
the square rests upon 8 points of the circumference -
not upon more or less of those infinite points. ;)

Rod ... :bike: ...
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: D = 2 design (aka "R2D2"),
updated in: http://aitnaru.org/images/Pi_Fork_n_Lute.pdf

:geek: Geometers' esoteric secret (you have to "Go figure!") ...
Long side of circle-squaring scalene triangle (part of isosceles trapezoid)
has sqrt(2) relationship to trapezoid's horizontal midpoint-to-midpoint.

:scratch: "Say what?" That's sum Quadrature :!:

Rod :stars:
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: D = 2 design (aka "R2D2")
That's sum Quadrature :!:
:geek: Geometers' esoteric secret #2 (you still have to "Go figure!") ...
There are 2 overlapping isosceles trapezoids with sides' midpoint-to-midpoint
that create a circle-squaring scalene for the sqrt(2)-related circle within. 8)

Rod ... :bike: ...
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: Etc. design

:scratch: "What's 'Etc.?'" Abbreviation of "ad infinitum". :roll:
:scratch: "What's 'ai' ?" 'Etc.' sans 'AI'. ;)

Rod :stars:
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: Etc. design
"ad infinitum"

:geek: Now simplified, showing (to astute geometers) that a squared circle
consists of 4 similar, overlapping irregular pentagons, with each pentagon
consisting of 2 overlapping isosceles trapezoids, with each trapezoid
consisting of circle-squaring scalene and right triangles. HCIT! 8)

Get the point ( all 8 ) :?:

Rod ... :bike: ... (still cruisin' with overlappin' laps)
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: Etc. design
"ad infinitum"

:love When Quadrature waxes poetic ...
"How do I lap thee? Let me count the ways." :roll:

Rod :D
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: Etc., Etc. design

"Squared circle geometry that speaks for itself." ;)

Rod ... :bike: ...
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: Etc., Etc. design "Alienstock 2019"
"Squared circle geometry that speaks for itself … ad infinitum."

Capturing the spirit of this weekend's Area 51 Alienstock event. :roll
Who can tell :?: :!: Great potential for a T-Shirt or poster! ;)

Rod :D
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: Etc., Etc. design "Alienstock 2019"
"Squared circle geometry that speaks for itself … ad infinitum."

Capturing the spirit of this weekend's Area 51 Alienstock event. :roll
Who can tell :?: :!: Great potential for a T-Shirt or poster! ;)

Like this: http://aitnaru.org/images/Alienstock_2019.pdf 8)

Rod :)
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: Etc., Etc. design "Alienstock 2019"
"Squared circle geometry that speaks for itself … ad infinitum."

:geek: Geometers' secret ...
Line lengths in master pattern of circle-squaring right triangle:
hypotenuse = 2, long side = sqrt(Pi), short side = sqrt(4-Pi)
hypotenuse = diameter, long side = side of circle's square

Rod ... :bike: ...
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: Etc., Etc. design "Alienstock 2019"

Capturing the spirit of this weekend's Area 51 Alienstock event. :roll
Who can tell :?: :!: Great potential for a T-Shirt or poster! ;)

:scratch: Who knew?! There's a portal:
http://aitnaru.org/images/Alienstock_2019.pdf 8)

Rod :D
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Re: Paradise Trinity Day

Post by Amigoo »

Re: https://www.dailymail.co.uk/news/articl ... e-Cod.html

Some great whites have no respect for nautical etiquette, especially off this Cape!
They're supposed to photobomb in the background - not foreground. :roll:

Maybe it was curious why this surfboard had all topside and no underdeck.

Rod :)
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: Etc., Etc. design*
"Squared circle geometry that speaks for itself." ;)

* updated in: http://aitnaru.org/images/Pi_Fork_n_Lute.pdf
(and without sharks in the portal) :roll:

Rod :stars:
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: Etc., Etc. design "Alienstock 2019"*
"The portal is not constrained by a gate."

* updated in: http://aitnaru.org/images/Alienstock_2019.pdf

Rod ... :bike: ...
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: Etc., Etc. design "Alienstock 2019"*
"The portal is not constrained by a gate."

:geek: Geometers' secret ...
The circle-squaring scalene and right triangles are related by sqrt(2);
consider lines representing a diameter and side of inscribed square: ;)
one triangle converts to the other via sqrt(2) 8)

:scratch: "How?!" Ask any geometer. :roll:

Rod :D
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: Etc., Etc. design "Alienstock 2019"*
"The portal is not constrained by a gate."

:geek: Geometers' secret ...

Of course, once the side of inscribed square is identified,
up pops the overlapping trapezoids, Etc., Etc. ;)

Rod ... :bike: ...
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: Etc., Etc. design "Alienstock 2019"*
"The portal is not constrained by a gate."

:geek: Geometer's conjecture ...

Quadrature is all about the Pythagorean Portal, a right triangle
defined by the line lengths 2.0, sqrt(Pi), and sqrt(4-Pi). 8)

Rod :)
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Re: Paradise Trinity Day

Post by Amigoo »

:sunflower: Re: Etc., Etc. design "Alienstock 2019"*
"The portal is not constrained by a gate."

Who knew :?: :!: that the portal has an eye ...
to note that "portal" is more than physical. :!:

Rod :D
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