Paradise Trinity Day

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Re: Paradise Trinity Day
Re: iPrismatizm design*
(renamed from iPrismatism, which was
renamed from Square Peg  Round Hole)
... since what is displayed? A prism?, wedge?, box?
(and 'z' instead of 's' to highlight indecizion)
And what's with the upside down '77' ?
Perzpective from a different univerze?
* updated in: http://aitnaru.org/images/Khristos_Voskrese.pdf
Rod ... ... Zzzzzzzs
(renamed from iPrismatism, which was
renamed from Square Peg  Round Hole)
... since what is displayed? A prism?, wedge?, box?
(and 'z' instead of 's' to highlight indecizion)
And what's with the upside down '77' ?
Perzpective from a different univerze?
* updated in: http://aitnaru.org/images/Khristos_Voskrese.pdf
Rod ... ... Zzzzzzzs

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Re: Paradise Trinity Day
Re: iPrismatizm design
quadrature Pi (qPi) = 2/sqrt(Pi)
= 1.1283791670955125738961589031215..
Reviewing the numbers ...
Calculate up and down from sqrt(Pi):
= 1.5707963267948966192313216916398.. Pi/2
/ 1.1283791670955125738961589031215.. qPi
1.7724538509055160272981674833411.. sqrt(Pi)
x 1.1283791670955125738961589031215.. qPi
= 2.0
2.0 / 1.5707963267948966192313216916398..
= 1.2732395447351626861510701069801.. qPi^2
= (sqrt(Pi)/(Pi/2))^2
Rod
quadrature Pi (qPi) = 2/sqrt(Pi)
= 1.1283791670955125738961589031215..
Reviewing the numbers ...
Calculate up and down from sqrt(Pi):
= 1.5707963267948966192313216916398.. Pi/2
/ 1.1283791670955125738961589031215.. qPi
1.7724538509055160272981674833411.. sqrt(Pi)
x 1.1283791670955125738961589031215.. qPi
= 2.0
2.0 / 1.5707963267948966192313216916398..
= 1.2732395447351626861510701069801.. qPi^2
= (sqrt(Pi)/(Pi/2))^2
Rod

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Re: Paradise Trinity Day
Re: http://earthmatrix.com/giza/squarecircle.pdf
Interesting (and related + more robust) research!
But I still favor the qPi 2/sqrt(Pi) constant because it defines
the inscribed circlesquaring right triangle (hypotenuse = diameter)
and keeps Pythagoras in the research loop (circle).
Rod
Interesting (and related + more robust) research!
But I still favor the qPi 2/sqrt(Pi) constant because it defines
the inscribed circlesquaring right triangle (hypotenuse = diameter)
and keeps Pythagoras in the research loop (circle).
Rod

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Re: Paradise Trinity Day
Re: iPrismatizm design (where large diameter = 2.0)
From the perspective of '77', sqrt(Pi) is divisble by sqrt(2).
If sqrt(2)^2 is not transcendental, neither is sqrt(Pi)^2.
Who knew Sqrt(2) controls the Neighborhood!
"I got chills they're multiplyin'. And I'm losin' control.
'Cause the power you're suplyin' ... it's electrifyin'!"
Rod ... ... (sqrt(2)  you the man!)
From the perspective of '77', sqrt(Pi) is divisble by sqrt(2).
If sqrt(2)^2 is not transcendental, neither is sqrt(Pi)^2.
Who knew Sqrt(2) controls the Neighborhood!
"I got chills they're multiplyin'. And I'm losin' control.
'Cause the power you're suplyin' ... it's electrifyin'!"
Rod ... ... (sqrt(2)  you the man!)

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Re: Paradise Trinity Day
Re: iPrismatizm design
Large diameter is actually 4(2/sqrt(Pi))
Quadraturiality of '77' circlesquaring right triangles:
Since the short sides and long sides have sqrt(2) relationship,
remaining third sides must also have sqrt(2) relationship ...
and these are the sides (length) of the circles' square.
Therefore, Pi is evenly divisible by sqrt(2) ...
and sqrt(2) is transcendental (or Pi is not).
Rod
Large diameter is actually 4(2/sqrt(Pi))
Quadraturiality of '77' circlesquaring right triangles:
Since the short sides and long sides have sqrt(2) relationship,
remaining third sides must also have sqrt(2) relationship ...
and these are the sides (length) of the circles' square.
Therefore, Pi is evenly divisible by sqrt(2) ...
and sqrt(2) is transcendental (or Pi is not).
Rod

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Re: Paradise Trinity Day
Re: iPrismatizm design
OMG What a challenge to identify the geometric 'Z'
(and it's still camouflaged) that's sqrt(2)integrated
in the Quadraturedefining scalene triangle.
"Say what?!" Be there and be square!
Rod
OMG What a challenge to identify the geometric 'Z'
(and it's still camouflaged) that's sqrt(2)integrated
in the Quadraturedefining scalene triangle.
"Say what?!" Be there and be square!
Rod

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Re: Paradise Trinity Day
Re: iPrismatizm design
(updated in: http://www.aitnaru.org/images/Khristos_Voskrese.pdf )
Who knew
You can put a square peg in a round hole ...
Quadraturially speaking.
Rod ... ...
(updated in: http://www.aitnaru.org/images/Khristos_Voskrese.pdf )
Who knew
You can put a square peg in a round hole ...
Quadraturially speaking.
Rod ... ...

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Re: Paradise Trinity Day
Re: iPrismatizm design
"Lines and Triangles and Squares (and Trapezoids), Oh Pi!"
Rod
"Lines and Triangles and Squares (and Trapezoids), Oh Pi!"
Rod

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Re: Paradise Trinity Day
Re: NDQ360 design
(Notre Dame de Quadrature)
Who knew?!
Another constant wants recognition:
1.9130583802711007947403078280205..
= ratio of long side to short side
of circlesquaring right triangle.
Rod ... ...
(Notre Dame de Quadrature)
Who knew?!
Another constant wants recognition:
1.9130583802711007947403078280205..
= ratio of long side to short side
of circlesquaring right triangle.
Rod ... ...

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Re: Paradise Trinity Day
Re: NDQ360 design (Notre Dame de Quadrature)
Displays "impossible" Ratios of Quadrature (iRoQ) in 360 degrees.
(iRoQ pronounced "I Rock!")
Who knew?!
Another constant wants recognition: 1.9130583802711007947403078280205..
= ratio of Long Side to Short Side of circlesquaring right triangle.
The three sides:
Hypotenuse = circle's Diameter (reference Diameter = 2.0)
Long Side = 1.7724538509055160272981674833411.. = sqrt(Pi)
Short Side = 0.92650275035220848584275966758914.. = sqrt(4  Pi)
Long Side / Short Side = 1.9130583802711007947403078280205.. = lPi
Hypotenuse / Long Side = 1.1283791670955125738961589031215.. = qPi
Hypotenuse / Short Side = 2.1586552217353950788554161024245.. = sPi
sPi / lPi = qPi =
Rod ... ...
Displays "impossible" Ratios of Quadrature (iRoQ) in 360 degrees.
(iRoQ pronounced "I Rock!")
Who knew?!
Another constant wants recognition: 1.9130583802711007947403078280205..
= ratio of Long Side to Short Side of circlesquaring right triangle.
The three sides:
Hypotenuse = circle's Diameter (reference Diameter = 2.0)
Long Side = 1.7724538509055160272981674833411.. = sqrt(Pi)
Short Side = 0.92650275035220848584275966758914.. = sqrt(4  Pi)
Long Side / Short Side = 1.9130583802711007947403078280205.. = lPi
Hypotenuse / Long Side = 1.1283791670955125738961589031215.. = qPi
Hypotenuse / Short Side = 2.1586552217353950788554161024245.. = sPi
sPi / lPi = qPi =
Rod ... ...

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Re: Paradise Trinity Day
Re: NDQgr design (Notre Dame de Quadrature
with "golden rectangle" identified*), displaying propagation
of new constant 1.9130583802711007947403078280205..
(Long Side to Short Side of circlesquaring right triangle).
* identified as pattern  not algebraically, so ...
Be the first to define this "golden rectangle"
of "impossible" Quadrature.
Rod
with "golden rectangle" identified*), displaying propagation
of new constant 1.9130583802711007947403078280205..
(Long Side to Short Side of circlesquaring right triangle).
* identified as pattern  not algebraically, so ...
Be the first to define this "golden rectangle"
of "impossible" Quadrature.
Rod

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Re: Paradise Trinity Day
Re: NDQgr design (Notre Dame de Quadrature
with "golden rectangle" identified as pattern)
Three sides of largest circlesquaring right triangle:
(how to contemplate golden rectangle's algebra)
Hypotenuse = circle's Diameter (reference) = 2.0
Long Side = 1.7724538509055160272981674833411.. = sqrt(Pi)
Short Side = 0.92650275035220848584275966758914.. = sqrt(4  Pi)
Long Side / Short Side = 1.9130583802711007947403078280205.. = lPi
Hypotenuse / Long Side = 1.1283791670955125738961589031215.. = qPi
Hypotenuse / Short Side = 2.1586552217353950788554161024245.. = sPi
sPi / lPi = qPi =
Rod ... ...
with "golden rectangle" identified as pattern)
Three sides of largest circlesquaring right triangle:
(how to contemplate golden rectangle's algebra)
Hypotenuse = circle's Diameter (reference) = 2.0
Long Side = 1.7724538509055160272981674833411.. = sqrt(Pi)
Short Side = 0.92650275035220848584275966758914.. = sqrt(4  Pi)
Long Side / Short Side = 1.9130583802711007947403078280205.. = lPi
Hypotenuse / Long Side = 1.1283791670955125738961589031215.. = qPi
Hypotenuse / Short Side = 2.1586552217353950788554161024245.. = sPi
sPi / lPi = qPi =
Rod ... ...

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Re: Paradise Trinity Day
Re: NDQgr design (Notre Dame de Quadrature
with "golden rectangle" identified as pattern)
Another observation:
Diameter of small circle = Diameter of large circle / lPi^2
where lPi = 1.9130583802711007947403078280205..
Rod
with "golden rectangle" identified as pattern)
Another observation:
Diameter of small circle = Diameter of large circle / lPi^2
where lPi = 1.9130583802711007947403078280205..
Rod

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Re: Paradise Trinity Day
Re: NDQgr design (Notre Dame de Quadrature
with "golden rectangle" identified as pattern)
Another observation:
Diameter of small circle = Diameter of large circle / lPi^2
where lPi = 1.9130583802711007947403078280205..
And another observation:
Diameter of smallest circle = Diameter of large circle / lPi^4
Who knew?! A palette's palette
Rod
with "golden rectangle" identified as pattern)
Another observation:
Diameter of small circle = Diameter of large circle / lPi^2
where lPi = 1.9130583802711007947403078280205..
And another observation:
Diameter of smallest circle = Diameter of large circle / lPi^4
Who knew?! A palette's palette
Rod

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Re: Paradise Trinity Day
Re: NDQgr design (Notre Dame de Quadrature
with its "golden rectangle" first identified as pattern)
Golden Ratio of Quadrature (D = 2.0)
In inscribed circlesquaring right triangle,
let a = Long Side, b = Short Side
then (a + b) / b = (a / b) + 1
a = 1.7724538509055160272981674833411.. Long Side, sqrt(Pi)
b = 0.92650275035220848584275966758914.. Short Side
a / b = lPi
1.7724538509055160272981674833411.. a
/ 0.92650275035220848584275966758914.. b
= 1.9130583802711007947403078280204.. lPi
(a + b) / b = lPi + 1
(1.7724538509055160272981674833411..
+ 0.92650275035220848584275966758914..) a + b
/ 0.92650275035220848584275966758914.. b
= 2.9130583802711007947403078280204.. lPi + 1
About the other Golden Ratio:
https://en.wikipedia.org/wiki/Golden_ratio
Rod
with its "golden rectangle" first identified as pattern)
Golden Ratio of Quadrature (D = 2.0)
In inscribed circlesquaring right triangle,
let a = Long Side, b = Short Side
then (a + b) / b = (a / b) + 1
a = 1.7724538509055160272981674833411.. Long Side, sqrt(Pi)
b = 0.92650275035220848584275966758914.. Short Side
a / b = lPi
1.7724538509055160272981674833411.. a
/ 0.92650275035220848584275966758914.. b
= 1.9130583802711007947403078280204.. lPi
(a + b) / b = lPi + 1
(1.7724538509055160272981674833411..
+ 0.92650275035220848584275966758914..) a + b
/ 0.92650275035220848584275966758914.. b
= 2.9130583802711007947403078280204.. lPi + 1
About the other Golden Ratio:
https://en.wikipedia.org/wiki/Golden_ratio
Rod

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Re: Paradise Trinity Day
Re: NDQgr design (Notre Dame de Quadrature
with its "golden rectangle" first identified as pattern)
(a + b) / b = (a / b) + 1
Who knew
Squared circles are symmetric ... perfectly.
Rod ... ...
with its "golden rectangle" first identified as pattern)
(a + b) / b = (a / b) + 1
Who knew
Squared circles are symmetric ... perfectly.
Rod ... ...

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Re: Paradise Trinity Day
Re: NDQgr design (pronounced "indicature";
as in "Cartesian plethora of indicature",
and highlighting (a + b) / b = (a / b) + 1
Who knew
Squared circles are symmetric ...
even plethorically perfect.
Rod
as in "Cartesian plethora of indicature",
and highlighting (a + b) / b = (a / b) + 1
Who knew
Squared circles are symmetric ...
even plethorically perfect.
Rod

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Re: Paradise Trinity Day
Re: NDQgr design
(updated in: http://www.aitnaru.org/images/Khristos_Voskrese.pdf )
Cartesian plethora of indicature ...
with more busyness on the ER Bridge.
Algebraic sleight of hand:
(a / b) + (b / b) = (a / b) + 1
Rod
(updated in: http://www.aitnaru.org/images/Khristos_Voskrese.pdf )
Cartesian plethora of indicature ...
with more busyness on the ER Bridge.
Algebraic sleight of hand:
(a / b) + (b / b) = (a / b) + 1
Rod

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Re: Paradise Trinity Day
Re: NDQgr design
Cartesian plethora of indicature ...
with more busyness on the ER Bridge.
More descriptive algebra:
If a / b = b / c, then c = b^2 / a
a = 1.7724538509055160272981674833411..
b = 0.92650275035220848584275966758914..
c = 0.48430448328550912049415032290196..
a / b =
1.7724538509055160272981674833411..
/ 0.92650275035220848584275966758914..
= 1.9130583802711007947403078280204..
b / c =
0.92650275035220848584275966758914..
/ 0.48430448328550912049415032290196..
= 1.9130583802711007947403078280204..
Rod
Cartesian plethora of indicature ...
with more busyness on the ER Bridge.
More descriptive algebra:
If a / b = b / c, then c = b^2 / a
a = 1.7724538509055160272981674833411..
b = 0.92650275035220848584275966758914..
c = 0.48430448328550912049415032290196..
a / b =
1.7724538509055160272981674833411..
/ 0.92650275035220848584275966758914..
= 1.9130583802711007947403078280204..
b / c =
0.92650275035220848584275966758914..
/ 0.48430448328550912049415032290196..
= 1.9130583802711007947403078280204..
Rod

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Re: Paradise Trinity Day
Re: NDQgr design
Cartesian plethora of indicature ...
with more busyness on the ER Bridge.
Therefore (quadraturially speaking) ...
a / b = b / (b^2 / a)
Rod ... ... (still learnin' my ABCs)
Cartesian plethora of indicature ...
with more busyness on the ER Bridge.
Therefore (quadraturially speaking) ...
a / b = b / (b^2 / a)
Rod ... ... (still learnin' my ABCs)

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Re: Paradise Trinity Day
Re: NDQgr design
Relationship of largest and smallest diameter(s)
= (1.9130583802711007947403078280204..)^4
= (a / b)^4 ... precisely.
Rod
Another observation ...Therefore (quadraturially speaking) ...
a / b = b / (b^2 / a)
Relationship of largest and smallest diameter(s)
= (1.9130583802711007947403078280204..)^4
= (a / b)^4 ... precisely.
Rod

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Re: Paradise Trinity Day
Re: NDQgr design
After 10 years of neardaily research ...
I'm still not cured of Morbus Cyclometricus.
Rod
After 10 years of neardaily research ...
I'm still not cured of Morbus Cyclometricus.
Rod

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Re: Paradise Trinity Day
Re: NDQgr design
Good enough for a TShirt with Cartesian caption:
"It took ten years to cross the ER Bridge and all I got
was an esoteric geometry lesson about Quadrature."
Rod
Good enough for a TShirt with Cartesian caption:
"It took ten years to cross the ER Bridge and all I got
was an esoteric geometry lesson about Quadrature."
Rod

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Re: Paradise Trinity Day
Re: NDQgr design
The small right triangle at the bottom left of the design identifies the point
at which EVERY circle may be placed (aligned on the 62.403.. degree angle)
to be squared by the lines creating the 27.597.. degree angle.
Quadrature indicature extraordinaire
Rod ... ...
Geometers' secret ...Cartesian plethora of indicature ...
with more busyness on the ER Bridge.
The small right triangle at the bottom left of the design identifies the point
at which EVERY circle may be placed (aligned on the 62.403.. degree angle)
to be squared by the lines creating the 27.597.. degree angle.
Quadrature indicature extraordinaire
Rod ... ...

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Re: Paradise Trinity Day
Re: NDQgr design
"Close, but no cigar!"
While the two "golden" ratios define their propagating rectangles,
Quadrature's rectangle does not devolve into the properties
of the nearsacred (geometrically speaking) Golden Ratio:
a / b = 1.6180339887498948482045868343656.. Golden Ratio
a / b = 1.9130583802711007947403078280204.. Quadrature
However, Quadrature's a/b complements the "nearsacred"
c/a (hypotenusetolong side) squaredcircledefining ratio
of that Pythagorean right triangle inscibed in a circle.
More importantly, Quadrature's a/b/c triangle incorporates
the revelatory "Pi Fork" with its complementing line lengths
and these two line length ratios:
1.7724538509055160272981674833411.. sqrt(Pi)
1.1283791670955125738961589031215.. c/a = 2/sqrt(Pi)
Such is the sight from the ER Bridge.
Rod
"Close, but no cigar!"
While the two "golden" ratios define their propagating rectangles,
Quadrature's rectangle does not devolve into the properties
of the nearsacred (geometrically speaking) Golden Ratio:
a / b = 1.6180339887498948482045868343656.. Golden Ratio
a / b = 1.9130583802711007947403078280204.. Quadrature
However, Quadrature's a/b complements the "nearsacred"
c/a (hypotenusetolong side) squaredcircledefining ratio
of that Pythagorean right triangle inscibed in a circle.
More importantly, Quadrature's a/b/c triangle incorporates
the revelatory "Pi Fork" with its complementing line lengths
and these two line length ratios:
1.7724538509055160272981674833411.. sqrt(Pi)
1.1283791670955125738961589031215.. c/a = 2/sqrt(Pi)
Such is the sight from the ER Bridge.
Rod