Paradise Trinity Day

[Amigoo]

Re: Pi Fork design

How do you eat a Pi Cone
With a Pi Fork ... of course

The two tines are tuned to 2/(sqrt(Pi))
(= 1.1283791670955125738961589031215..)

Rod

[Amigoo]

Re: Pi Cone IC design
"Quadrature à la Hobson" (re: "Hobson's choice")

New term proffered:
"Piconic" - "impossible" Cartesian geometry

Rod

[Amigoo]

Re: Pi Cone IC design
"Quadrature à la Hobson"

Geometers' secret:
(SoCS = Side of Circle's Square)

Pi Cone IC shows quadrature proportions
where Diameter2 = 2.0, SoCS2 = sqrt(Pi)
and Diameter1 = 2/sqrt(Pi), SoCS = 1.0

2.0 : sqrt(Pi) ~ 2/sqrt(Pi) : 1.0

2:0 / 1.7724538509055160272981674833411..
= 1.1283791670955125738961589031215..

1.1283791670955125738961589031215.. / 1.0
= 1.1283791670955125738961589031215..

Rod ... ... (siphoning silly cipher)

Teacher: If you take one apple from two apples, how many are left
Roddy: None if both of the apples were right when I took one.

[Amigoo]

Re: Pi Cone IC design, "Quadrature à la Hobson"
(updated in http://aitnaru.org/images/Khristos_Voskrese.pdf )

Would you believe a mini Pi Cone
Just a sqrt(2) chip off the ol' block.

Rod

[Amigoo]

Re: Piconical design

"Impossible" Cartesian geometry, indeed!
obviously related to Concentrizity Squares* geometry,
but studied as two overlapping scalene triangles
(circle-squaring, of course).

* http://aitnaru.org/lighttruth.html

Rod ... ...

[Amigoo]

Re: Piconic design

"Impossible" Cartesian geometry, indeed!

Geometers' secret:
Allusion to a spiral seems to suggest that squared circle geometry,
including "transcendental" Pi, is comprehensible only in the context
of a geometric spiral (widening or narrowing curve around an axis,
effectively revealing an "impossible" cone).

A design based on the galaxy Pico (re: one trillion miles away),
likely visible with a future telescope.

Note: Here's a more local Pico, familiar to all Texans:
https://www.allrecipes.com/recipe/35304/pico-de-gallo/
(important: Pico de Gallo is not Salsa)

"2 sprigs" of fresh cilantro - try per serving!

Rod

[Amigoo]

Re: Box of Pi One design
(pronounced "bocksa pie one")
(sounds like "Box of Pi won!")

Myth records that the first squared circle geometer wannabe
ate the entire transcendental box of Pi ... then ate more Pi.

Rod ... ... (Yum!)

[Amigoo]

Re: Box of Pi One design

Despite consuming the box of Pi (plus more Pi later),
geometer wannabe finally looked down, exclaiming
OMG! Impossible! Mitosis there!

Rod

[Amigoo]

Re: Box of Pi One design

Geometers' secret:
The center magenta diagonal has a length of one.
"One what?!" Whatever Go figure

Rod ... ...

[Amigoo]

Re: Box of Pi One design

Geometers' revelation:
While noticing that the design appears to be a bridge
and recalling that "You can't get there from here!",
the simple solution suddenly appeared:
Just redefine "here" and "there".

Rod ... ... (Been here! Done this!)

[Amigoo]

Re: Box of Pi design

Box of Pi's light blue spiral (re: "Pico galaxy") was restored.
Pi Fork geometry shows how scalene triangle squares the circle.

Geometers' secret:
The scalene and right triangles both "square the circle"
... proving the marriage of sqrt(Pi) and sqrt(2).

Rod ... ... (Been here! Done this!)

[Amigoo]

Re: Box of Pi design

Geometers' master secret:
The circle squaring scalene and right triangles
are siblings of a unique isosceles trapezoid.

Rod ... ... (inventor of Pi eating contest, so it seems,
and still searchin' for a transcendental recipe for this Pi Dish):
https://www.amazon.com/Pi-Dish-Stonewar ... ef=sr_1_21

Plan B: Save it for "The Bulldog Who Ate Pi" documentary.
(and sight of the Pico spiral faded with focus on the Pi Dish)

[Sandy]

That is an awesome pi plate!
xxSandy

[Amigoo]

Re: Box of Pi design

The yellow/green diagonal was removed to limit excess busyness
after adding two more perpendicular lines. Now, I can't remember
the length of that diagonal; it was one something ...
and related to sqrt(2), that circle's diameter.

Rod

[Amigoo]

Re: Box of Pi design (more lines added)

But 3-brain mortals (we're 2-brain) on other inhabited planets in our local universe
consider this the simplified version of squared circle geometry (as represented by
the ancient and limiting Cartesian perspective).

Rod

[Amigoo]

Re: QuadraTorial design
(Quadrature + Tutorial)

Obviously, Pi is evenly divisible by 2!
according to this isosceles trapezoid tutorial.
( NTS: T/2! = Transcendental/2 )

"That's impossible!" Go argue with the sqrt(2)
that propagates with an isosceles triangle.

Rod

[Amigoo]

Re: QuadraTorial design
"Pi/2 = Transcendental/2"

... which is not revelatory since ...
Pi = C/D = (C/2)/r and D/r = 2

Rod

[Amigoo]

Re: Quadratorial design
"Pi/2 = Transcendental/2"

A few more lines added to the chatter that the smaller
and larger squared circles are directly related by sqrt(2),
"transcendental" by association (IMO).

Why does it matter?
This CSC squared circles geometry keeps shouting:
"Either sqrt(2) is transcendental or sqrt(Pi) is not!"

These tests are always "open book".

Rod

[Amigoo]

Re: Quadratorial design
"Pi/2 = Transcendental/2"

Obviously, Pi is also divisible by sqrt(2)
... according to CSC Scalenity Concentricity
... aka "CSCSC".

Rod ... ... ("siesta" comes to mind)

[Amigoo]

Re: Quadratorial design
"Pi/2 = Transcendental/2"

CSC Sweet 16 Bedtime Story ...

"As the circle's scalene triangle spirals ever smaller,
its 3 sides align perfectly parallel with the original
when the square of the original is divisible by 16."

Rod

[Amigoo]

Re: Sweet 16 design (aka "777")
(embellishment of Quadratorial)

Display of the scalene spiral would require a CSC composition
of concentric circles (not this faux sqrt(2) concentricity)
... therefore, a later bedtime story.

Geometers' secrets: This composition has a geometric center,
identified by the dark blue 'X' at the ... geometric center;
the 1/16 square is also at the ... geometric center.

Rod

[Amigoo]

Re: Sweet 16 Spiral design

I missed a few numbers, trying to imagine a 360-degree spiral
of circle-squaring scalene triangles - this geometry calculates
But go figure! 16^2 might be the more accurate number!

Why a complex 360-degree Cartesian spiral?
Pi is transcendentally enclosed by this "corral".

Rod

[Amigoo]

Re: Sweet 16 Spiral design,
suggesting that Pi is evenly divisible by 16

Given: Diameter = 2.0,
Pi = 3.1415926535897932384626433832795..

Circumference = Pi x D
= 6.283185307179586476925286766559..
/ 16 = 0.39269908169872415480783042290994..

Diameter = 2.0 / 16 = 0.125

0.39269908169872415480783042290994.. / 0.125
= 3.1415926535897932384626433832795.. Pi

Rod ... ...

[Amigoo]

Re: Sweet 16 Spiral design,
suggesting that Pi is evenly divisible by 16

Note to Self: 1/16 of a circle (22.5 degrees)
might identify this new Pi model (re: right triangles).

Rod

[Amigoo]

Re: Scalenitweet design
(aka "Sweet Scalenity")

Two similar, overlapping, circle-squaring scalene triangles
have similar sides, all with sqrt(2) relationship. Sweet

Rod