Paradise Trinity Day

[Amigoo]

Re: Pi Are Square design

Time is not a thing, but a measure of (some)thing

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!
Bon Appétit !

Rod

[Amigoo]

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

Geometers' bonus secret ...

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

Rod ... ...

[Amigoo]

Re: Pi Are Square design

Time is not a thing, but a measure of (some)thing

Who knew
It's time to replay the "impossible" game of Quadrature.

Rod

[Amigoo]

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

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).

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

Rod ... ...

[Amigoo]

Re: D = 2 design

Highlights the line length ratios.

"What ratios?" Go figure!

Rod

[Amigoo]

Re: D = 2 design

"What ratios?" Go figure!

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 ... ...

[Amigoo]

Re: D = 2 design

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

Rod

[Amigoo]

Re: D = 2 design

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

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 ... ...

[Amigoo]

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

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.

"Say what?" That's sum Quadrature

Rod

[Amigoo]

Re: D = 2 design (aka "R2D2")

That's sum Quadrature

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.

Rod ... ...

[Amigoo]

Re: Etc. design

"What's 'Etc.?'" Abbreviation of "ad infinitum".
"What's 'ai' ?" 'Etc.' sans 'AI'.

Rod

[Amigoo]

Re: Etc. design
"ad infinitum"

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!

Get the point ( all 8 )

Rod ... ... (still cruisin' with overlappin' laps)

[Amigoo]

Re: Etc. design
"ad infinitum"

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

Rod

[Amigoo]

Re: Etc., Etc. design

"Squared circle geometry that speaks for itself."

Rod ... ...

[Amigoo]

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.
Who can tell Great potential for a T-Shirt or poster!

Rod

[Amigoo]

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.
Who can tell Great potential for a T-Shirt or poster!

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

Rod

[Amigoo]

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

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 ... ...

[Amigoo]

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

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

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

Rod

[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.

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

Rod

[Amigoo]

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)

Rod

[Amigoo]

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

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

Rod ... ...

[Amigoo]

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

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)

"How?!" Ask any geometer.

Rod

[Amigoo]

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

Geometers' secret ...

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

Rod ... ...

[Amigoo]

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

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).

Rod

[Amigoo]

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