Paradise Trinity Day

[Amigoo]

Re: https://www.foxnews.com/health/washing- ... ital.print

"But the researchers hypothesized that the pathogens were disseminated to the clothing after the washing process, via residual water on the rubber mantle [of the washer] and/or via the final rinsing process, which ran unheated and detergent-free water through the detergent compartment."

"The research has implications for household use of washers, Schmithausen said, noting water temperatures in household washing machines typically reach a maximum of 140 degrees F or below for energy-saving purposes. The cooler temperatures do not kill potentially harmful pathogens as effectively as higher temperatures."

Recent articles about household washing machines suggest a frequent cleaning cycle with no clothes, hot water and bleach.

Rod

[Amigoo]

Re: Quinale! design

A more esoteric display, but ...
the three 2-line sets of the Pi Fork are now color coded to highlight sqrt(Pi) relationship
of long line to short line ... not to mention 2/sqrt(Pi) relationship of other lines.

Rod ... ...

[Amigoo]

Re: Quinale! design

A lesser(?) line length ratio of the Pi Fork
(long side to short side of right triangle):
1.9130583802711007947403078280205..

Pythagorean Numba Rumba (D = 2.0)

1.7724538509055160272981674833411.. long side
/ 0.92650275035220848584275966758914.. short side
= 1.9130583802711007947403078280205..

2.0 hypotenuse
/ 1.7724538509055160272981674833411.. long side
= 1.1283791670955125738961589031215.. 2/sqrt(Pi)

2.0 hypotenuse
/ 0.92650275035220848584275966758914.. short side
= 2.1586552217353950788554161024245..
/ 1.9130583802711007947403078280205..
= 1.1283791670955125738961589031215.. 2/sqrt(Pi)

Rod

[Amigoo]

Re: Quinale! design

Named Numba Rumba (D = 2.0)

1.7724538509055160272981674833411.. long side, sqrt(Pi)
/ 0.92650275035220848584275966758914.. short side, sqrt(4-Pi)
= 1.9130583802711007947403078280205.. sqrt(Pi)/sqrt(4-Pi)

2.0 hypotenuse
/ 1.7724538509055160272981674833411.. long side, sqrt(Pi)
= 1.1283791670955125738961589031215.. 2/sqrt(Pi)

2.0 hypotenuse
/ 0.92650275035220848584275966758914.. short side, sqrt(4-Pi)
= 2.1586552217353950788554161024245.. 2/sqrt(4-Pi)
/ 1.9130583802711007947403078280205.. sqrt(Pi)/sqrt(4-Pi)
= 1.1283791670955125738961589031215.. 2/sqrt(Pi)

Rod ... ... (rumba, rumba)

[Amigoo]

Re: Quinale! design

Speaking of Pythagorean Numba Rumba ...

The Pi Corral is defined by a right triangle having these line length relationships:
2 = hypotenuse, sqrt(Pi) = long side, sqrt(4-Pi) = short side. Transcendental

Rod

[Amigoo]

Re: Quinale! design*

"final, final ... finale"

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

Rod ... ...

[Amigoo]

Re: Quinale! design

More Numba Rumba ...

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

1.5707963267948966192313216916398.. Pi/2
x 1.1283791670955125738961589031215.. 2/sqrt(Pi)
= 1.7724538509055160272981674833411.. sqrt(Pi)
x 1.1283791670955125738961589031215.. 2/sqrt(Pi)
= 2.0
/ 1.5707963267948966192313216916398.. Pi/2
= (1.1283791670955125738961589031215..)^2
= 1.2732395447351626861510701069801..
= (2/sqrt(Pi))^2

Rod

[Amigoo]

Re: Quinale! design

"textbook version"
(Pi Fork enlarged into D=2, some colors changed)

Rod ... ...

[Amigoo]

Re: Quinale! design

"textbook version II"
The Pi Fork is the only geometric object that defines Quadrature precisely,
as confirmed by the sqrt(Pi) line length ratios in red, yellow and green.
... with 2/sqrt(Pi) the supporting line length ratio.

Rod

[Amigoo]

Re: Quinale! II design

Geometer's secret ...

The two juxtaposed isosceles right triangles confirm 2/sqrt(Pi) support
with the relationship of the two lines dividing the triangles in half.

"Say what?!" That's sum Quadrature

Rod ... ...

[Amigoo]

Re: Quinale! II design

Geometers' secret ...

The light blue "fan blade" and its line length ratios
reflect 2/sqrt(Pi) = 1.1283791670955125738961589031215..
with 1, 2, and (2/sqrt(Pi))^2 also present.

Rod

[Amigoo]

Re: Quinale! II design

Geometers' secret ...

Red "fan" (design recoloring) directs focus to side
and hypotenuse of a right triangle where SoCS line
is sandwiched between this triangle's two lines.

"What for?" To note line length ratios for D=2:
sqrt(2), 2/sqrt(Pi), (sqrt(2)sqrt(Pi))/2 ...
as well as angles 17.403.. + 27.597.. = 45.

Rod ... ...

[Amigoo]

Re: Quinale! 2:1 design

Geometric proof that sqrt(2) rules the Neighborhood:
whatever Pi's relationship to circle where D=2,
that same value is precisely half where D=1.

"sqrt(2) is transcendental or Pi is not"

Rod

[Amigoo]

Re: Quinale! 2:1 design*

Geometers' secret: Aficionados of Quadrature
know that squared circles define an infinite spiral.

That sqrt(2) is the host of the spiral hints that this Neighborhood
knows a few things about the "transcendental" of 360 degrees.

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

Rod

[Amigoo]

Re: Quinale! 2:1 design

Geometers' secret: 16 is the magical increment between spiral turns ...
hinting that Pi/16 is a clue to "transcendental" Pi in this Neighborhood.

Rod

[Amigoo]

Re: Quinale! 2:1 design

16 is the magical increment between spiral turns

Geometers' secret: sqrt(16) = 4, sqrt(4) = 2
sqrt(2) = a math constant in both tandem spirals.

"sqrt(Pi) is tandem to sqrt(2)?! Who knew?"

Rod ... ...

[Amigoo]

Re: Quinale! 2:1(16 design
(aka "Quinale! 2:1 too too")

Now, easier to see the incremental '16' ...
hinting of patterns only a fractalist could imagine!
... such is the lure of Quadrature constants ...
that guide the sqrt(Pi) and sqrt(2) spirals.

Rod

[Amigoo]

Re: Quinale! 2:1(16 design
(aka "Quinale! 2:1 too too")

Geometers' secret:
Every two adjoining lines of sqrt(2) and sqrt(Pi) spirals form 225-degree angle.
More proof that Pi is constrained by sqrt(2) in this Cartesian Neighborthood.

Rod

[Amigoo]

Re: Quinale! 2:1(16 design
(aka "Quinale! 2:1 too too")

When Quadrature dabbles in abstract art.
(aka "The Art of Pi")

Rod ... ...

[Amigoo]

Re: Quinale! 2:1(16 design
(aka "The Art of Pi")

Geometers' secret ...
Astute geometers notice that the respective line lengths
of the two spirals maintain 2/sqrt(Pi) relationship.

"Is that why the upper left looks like a '2' " '?
¡Olé! ¡Olé! too

Rod

[Amigoo]

Re: Quinale! 2:1(16 design
(aka "The Art of Pi")

respective line lengths maintain 2/sqrt(Pi) relationship

This suggests how sqrt(2) constrains Pi ...
via those total lengths in 360 degrees?

Rod ... ...

[Amigoo]

Re: Quinale! 2:1(16 design
(aka "The Art of Pi")

Quadrature Rumba Numbas
Spiral line lengths in 180 degrees, chord length

4.0
2.8284271247461900976033774484194.. 2(sqrt(2))
2.0
1.4142135623730950488016887242097.. sqrt(2)
------------------------------------------------
10.242640687119285146405066172629.. total lengths
-----------------------------------------------
7.0710678118654752440084436210485.. chord length, sqrt(2)/2

3.5449077018110320545963349666823.. 2(sqrt(Pi))
2.506628274631000502415765284811.. sqrt(Pi)sqrt(2)
1.7724538509055160272981674833411.. sqrt(Pi)
1.2533141373155002512078826424055.. (sqrt(Pi)sqrt(2))/2
------------------------------------------------
9.0773039646630488355181503772399.. total lengths
------------------------------------------------
6.2665706865775012560394132120275.. chord length, (sqrt(Pi)sqrt(2))/4

7.0710678118654752440084436210485.. sqrt(2)/2
/ 6.2665706865775012560394132120275.. (sqrt(Pi)sqrt(2))/4
= 1.1283791670955125738961589031215.. 2/sqrt(Pi)

Rod

[Amigoo]

Re: Quinale! 2:1(16 design
(aka "The Art of Pi")

Quadrature Rumba Numbas (corrections)

7.0710678118654752440084436210485.. chord length, 10(sqrt(2)/2)

6.2665706865775012560394132120275.. chord length, 10((sqrt(Pi)sqrt(2))/4)

7.0710678118654752440084436210485.. 10(sqrt(2)/2)
/ 6.2665706865775012560394132120275.. 10((sqrt(Pi)sqrt(2))/4)
= 1.1283791670955125738961589031215.. 2/sqrt(Pi)

[Amigoo]

Re: Quinale! 2:1(16 design
(aka "The Art of Pi")

Geometers' secret (more sqrt(2) perspective in Quadrature) ...
Line segments of both spiral arms increment/decrement by sqrt(2).

Rod ... ...

[Amigoo]

Re: https://www.usatoday.com/story/money/fo ... 064651002/

"Pizza Hut is testing round boxes and plant-based meat at one location."

Faux meat is becoming acceptable, but round boxes
You can probably order a higher cost square pizza ...
for the same box.

Pizza math test (aka "Boxa Pi"): Given circle's D = 2 for both ...
Would you have more pizza with a deeper round box and 2 square pizzas
(or) a less deep square box with one round pizza?

"EZ mental math" (they say)

Rod