Paradise Trinity Day

[Amigoo]

Re: IAM Sqrt(2) design

Welcome to the House of Squared Circles - I AM Sqrt(2)

Just revealed at the House of Squared Circles ...

Who knew?! Sqrt(2) is in DNA of a familiar species.
(eye bone is connected to fin bone, connected to tail bone)

Rod ... ...
(brain bone is connected to hand bone, connected to mouse bone)

[Amigoo]

Re: Eye of Pi design

Under the watchful Eye of Pi, sqrt(2) makes bold claims
about its "Pi Corral" which includes the circle-squaring
right triangle having an hypotenuse = sqrt(Pi)
and a long side = Pi/2 where D = 2.

Rod

[Amigoo]

Re: Eye of Pi design

sqrt(2) makes bold claims about its "Pi Corral"

"Yes, Eduard, this alludes to your 'What's the point?'"

1.7724538509055160272981674833411.. sqrt(Pi)
/ 1.5707963267948966192313216916398.. Pi/2
= 1.1283791670955125738961589031215.. 2(sqrt(1/Pi))
(circle-squaring ratio of hypotenuse to long side)

Rod ... ... (cruisin' past the point)

[Amigoo]

Re: Eye of Pi design
"What diameter relates to this 'impossible' circle-squaring?"

1.7724538509055160272981674833411.. sqrt(Pi)
x 1.1283791670955125738961589031215.. 2(sqrt(1/Pi))
= 2.0

Rod ... ... (accelerating to 2.0 warp)
(with all reasonable precautions)

[Amigoo]

Re: 8^2 Corral design
(two overlapping circles create an '8' with each circle squared)

A repeating lesson: "Squared circle geometry is complex
... so quit searchin' for simplicity!"

The "corral"? Enclosure of transcendental Pi.
"Final^2" comes to mind.

Rod

[Amigoo]

Re: 8^2 Corral design

Squared circle geometry is complex

Who knew?! 8^2 Corral has a self-adjusting wrench
for precise squared circle alignment ... or perhaps
the hands of a clock, close to 7:07 (sqrt(2)/2) ...

or a clue identifying geometric equilibrium
amongst certain Pythagorean triangles.

Rod

[Amigoo]

Re: Circular Entanglement design
"Squared circle geometry is complex"
(from a study of the 8^2 Corral)

Oh, the precision! or pressure!
(with an Eye of Pi ?)

Rod ... ... (off to 4:56)

[Amigoo]

Re: En Scalenity Veritas design
"Squared circle geometry is complex"

... but can be expressed simply.
(as that's this scalene truth)

Rod

[Amigoo]

Re: En Scalenity Veritas design
"as that's this scalene truth"

HCIT! (geometers' tip):

There are two sets of similar right triangles in the scalene that squares the largest circle (magenta).
One triangle of each set folds in upon the other, leaving two adjoined right triangles within one
of the smaller circles (light blue) ... and one of these triangles squares that circle!

Rod ... ... (adjoining to the snack bar)

[Amigoo]

Re: En Scalenity Veritas design
"as that's this scalene truth"

HCIT! (geometers' tip):

How do you know that squared circle geometry is precise?
Look for the red scalpel, a precision surgical instrument.

Rod

[Amigoo]

Re: En Scalenity Veritas design
"as that's this scalene truth"

Who knew?! Squared circle geometry is a Rorschach Test!
En Scalenity Veritas displays which: ink brush scalpel
... or pointed knife (scalpel blade is handle)

If handle is a blade, what then Symbolism for challenging
nearly sacred, transcendental Pi (a "two-edged sword")?

Rod ... ... (reviewing punto por punto)

[Amigoo]

Re: En Scalenity Veritas design
"as that's this scalene truth"

Who knew?! A certain Hexagonal Scalenity (two similar, overlapping scalene triangles
within an equal-sided hexagon) may be confirmational geometry of a circle squared.

Rod

[Amigoo]

Re: Hexagonal Scalenity design
(from a study of En Scalenity Veritas)

What?! There's a box in this neighborhood?
Obviously, the box one must think outside of
to comprehend squared circle geometry!

Rod

[Amigoo]

Re: HS XYZ design

The geographic center of transcendental Pi.
If scalene-derived, it's true ... apparently.
(yellow lines have equal length)

Rod ... ...

[Amigoo]

Re: HS XYZ design

Intuitively, every home chef knows that it's possible
to bake a transcendental Pi with a geographic center.

Cruise this local universe on the HS XYZ Taste 'n Sea

Rod ... ... (shoppin' for portly fashion)

[Amigoo]

Re: HS XYZ design

Cruise this local universe on the HS XYZ Taste 'n Sea

HCIT! Some ocean cruises might be designated the "HS XYZ Taste 'n Sea"
for certain voyages that feature the study of geometry. Cruise ships already entice
with delectable delights 24/7 - even food offerings on plates and serving trays
could be arranged in geometric patterns.

Or promote a treasure hunt where passengers tour the ship, stopping at stations
where a geometric pattern is displayed, often disguised, and the hunter must
log their analysis for the awards ceremony at the end of the cruise. Sharing
personal logs could be encouraged to promote social minglin'

Of course, a course (or three) would be offered for more intense study of
geometry and related math.

Rod

[Amigoo]

Re: Cat's Cradle design
"The circle is squared when the cat's in the cradle."

When squared circle geometry waxes philosophical on 606.

Rod

[Amigoo]

Re: Cat's Cradle design
"The circle is squared when the cat's in the cradle."

Hmmm ... a related song? "Who can tell?"

https://www.youtube.com/watch?v=etundhQa724
https://www.lyricinterpretations.com/ha ... the-cradle


Then, two more strings were added ...

So, where's the cat in this Cat's Cradle geometry?
I see a wedge of blue cheese (as in "Who moved my ... ?")
... and that suggests a different "_at" word.


"blue cheese" became a topic of interest (a word TOI) ...

Re: https://en.wikipedia.org/wiki/Who_Moved_My_Cheese%3F

If this Cradle geometry relates to transcendental Pi,
Haw would still let Hem find his own way:

Anticipate Change - Get Ready For The Cheese To Move
Enjoy Change! - Savor The Adventure And Enjoy The Taste Of New Cheese!
Adapt To Change Quickly - The Quicker You Let Go Of Old Cheese, The Sooner You Can Enjoy New Cheese


Midnight reality check:
Shredded parmesan, soaked in blueberry juice, tastes like what?
Shredded parmesan, soaked in blueberry juice (not blue cheese)


Rod ... ... (ride upgraded to used Malibu)

[Sandy]

It was great to hear that awesome Harry Chapin song again, Rod. Thank you!
xxSandy

[Amigoo]

Re: CCCube design (from a study of Cat's Cradle)
"The circle is squared when the cat's in the cradle."

In the neighborhood, "A CC I Saw." (ACCIS, pronounced "axis")
New Cartesian concept, identifying a circle squared

An ACCIS in Texas revealed the Cat's nexus.

Rod

[Amigoo]

Re: Cat's Cradle design
"The circle is squared when the cat's in the cradle."

Speaking of Cartesian neighborhood ...
the Best of Show for Cat's Cradle is finalized.

Where's the cat? Where's the cradle?
"outside the box"

Rod

[Amigoo]

Re: Cat's Cradle design

Where's the cat? Where's the cradle?
"outside the box"

While contemplating the metaphoric "outside the box", I wondered:

What is outside the geometric red box? Obviously, a scalene triangle
... inscribed in a circle ... effectively squared by that triangle.

Rod ... ... (ridin' with inspirational scalenity)

[Amigoo]

Re: CCCube design
"When sqrt(2) measures the Pi Corral"

Sqrt(2) T-Square easily alludes to "Triangle-Square"
(note how the sides of an isosceles right triangle
orchestrate squaring of nested CSCSC circles)

Who knew?!
A Sqrt(2) T-Square can measure a cube
... when you're "outside the box".

Rod

[Amigoo]

Re: CCCube design
"When sqrt(2) measures the Pi Corral
(as displayed "outside the box")

Regarding Math of CCCube Geometry:

Given: D = 1, SoIS = sqrt(2)/2, SoAS = sqrt(Pi)/2
where SoIS = Side of Circle's Inscribed Square,
SoAS = Side of Circle's Area Square

To calculate length of top of T-Square:
(top of circle-squaring scalene triangle
with other two sides = SoIS and SoAS)

Length of T = a + sqrt(b^2 - a^2)
where a = (sqrt(Pi)/2)/sqrt(2)
b^2 = (sqrt(2)/2)^2
a^2 = ((sqrt(Pi)/2)/sqrt(2))^2

Related numbers displayed on page after design:
http://aitnaru.org/images/Scalene_Salience.pdf

Rod

[Amigoo]

Re: CCCube design
"When sqrt(2) measures the Pi Corral"

Fun with the wiggly numbers of squared circles and proof
that Pi (via Pythagorean right triangles) contains within its
transcendental digits reference to the circle squared:

1.7724538509055160272981674833411.. sqrt(Pi)
/ 1.4142135623730950488016887242097.. sqrt(2)
= 1.2533141373155002512078826424055..
/ 2 = 0.62665706865775012560394132120275..
/ 1.2533141373155002512078826424055..
= .5

Rod ... ... (sharin' half the road)