Paradise Trinity Day
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Re: Paradise Trinity Day
Re: Secret of 8b design
More evidence that "Quadrature is just a Box of Pi".
Pop Quiz: How many corners are there in a Box of Pi?
Rod ... ... ("1, 2, 3, ..")
More evidence that "Quadrature is just a Box of Pi".
Pop Quiz: How many corners are there in a Box of Pi?
Rod ... ... ("1, 2, 3, ..")
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Re: Paradise Trinity Day
Re: Secret of 8b design*
More eye candy for geometers of Quadraturial persuasion
(squares of inner circles are partly displayed)
Nevertheless, still a box of Pi.14159..
* updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf
Rod
More eye candy for geometers of Quadraturial persuasion
(squares of inner circles are partly displayed)
Nevertheless, still a box of Pi.14159..
* updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf
Rod
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Re: Paradise Trinity Day
Re: Holy Hexagon design
"Holy Irregular Hexagon, Pattman!"
Rod ... ...
"Holy Irregular Hexagon, Pattman!"
Rod ... ...
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Re: Paradise Trinity Day
Re: Holy Hexagon design
Every side forms a triangle having a 45 degree vertex opposite the side
(according to the astute observation of the resident Pattern Man).
Rod
Geometer's secret ...Holy irregular hexagon, Pattman!
Every side forms a triangle having a 45 degree vertex opposite the side
(according to the astute observation of the resident Pattern Man).
Rod
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Re: Paradise Trinity Day
Re: Holy Hexagon design
Nested circles in center allude to the necessary CSC Cartesian construct
(Circle inscribed in Square inscribed in Circle..) for studying Quadrature
... and reference to sqrt(2) control of the Neighborhood.
Rod ... ...
Another geometer's secret ...Holy irregular hexagon, Pattman!
Nested circles in center allude to the necessary CSC Cartesian construct
(Circle inscribed in Square inscribed in Circle..) for studying Quadrature
... and reference to sqrt(2) control of the Neighborhood.
Rod ... ...
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Re: Paradise Trinity Day
Re: Holy Hexagon design
where (V-V) / (v-v) = sqrt(Pi ) / sqrt(4-Pi)
[ V-V, v-v = distance between vertices ]
sqrt(Pi ) / sqrt(4-Pi)
= 1.7724538509055160272981674833411..
/ 0.92650275035220848584275966758914..
= 1.9130583802711007947403078280205..
"What doesn't define Quadrature?"
Ferdinand von Lindemann's proof
Rod
Quadrature is defined by a parallelogramHoly irregular hexagon, Pattman!
where (V-V) / (v-v) = sqrt(Pi ) / sqrt(4-Pi)
[ V-V, v-v = distance between vertices ]
sqrt(Pi ) / sqrt(4-Pi)
= 1.7724538509055160272981674833411..
/ 0.92650275035220848584275966758914..
= 1.9130583802711007947403078280205..
"What doesn't define Quadrature?"
Ferdinand von Lindemann's proof
Rod
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Re: Paradise Trinity Day
Re: QQuiescence design*
"And then there was ..." (a bird's eye view)
* added to: http://aitnaru.org/images/Yin_Yang_Pi.pdf
Rod ... ...
"And then there was ..." (a bird's eye view)
* added to: http://aitnaru.org/images/Yin_Yang_Pi.pdf
Rod ... ...
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Re: Paradise Trinity Day
Re: QQuiescence design
Quadrature is all about geometric balance ... precise balance.
Rod
Who knewAnd then there was ...
Quadrature is all about geometric balance ... precise balance.
Rod
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Re: Paradise Trinity Day
Re: QQuiescence design
Line length ratio of vertical red line to each horizontal red line
= sqrt(Pi) / sqrt(4-Pi) = 1.9130583802711007947403078280205..
Rod ... ...
Geometer's secret (where largest D = 2.0) ...Then there was ... (and geometric balance)
Line length ratio of vertical red line to each horizontal red line
= sqrt(Pi) / sqrt(4-Pi) = 1.9130583802711007947403078280205..
Rod ... ...
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Re: Paradise Trinity Day
Re: Goal-to-Go design
Obviously, sqrt(2) will be on the winning side.
Rod
Obviously, sqrt(2) will be on the winning side.
Rod
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Re: Paradise Trinity Day
Re: Goal-to-Go design
When Quadrature tells the fairy tale ...
"Grandma Sqrt(2), what big heirs you have!"
Rod ... ...
When Quadrature tells the fairy tale ...
"Grandma Sqrt(2), what big heirs you have!"
Rod ... ...
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Re: Paradise Trinity Day
Re: Goal-to-Godot design
A study of the supporting geometry in Goal-to-Go,
and proof that heaven and earth are not so distant.
(re: long-proposed significance of Quadrature)
Rod
A study of the supporting geometry in Goal-to-Go,
and proof that heaven and earth are not so distant.
(re: long-proposed significance of Quadrature)
Rod
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Re: Paradise Trinity Day
Re: Goal-to-Godot design
apparently about an "eye of the needle" and "a camel".
Finally, a geometric "eye of the needle" is obvious, but
only the viewer might recognize "a camel".
Rod ... ...
Design closure seemed to be waiting for something ...heaven and earth are not so distant
apparently about an "eye of the needle" and "a camel".
Finally, a geometric "eye of the needle" is obvious, but
only the viewer might recognize "a camel".
Rod ... ...
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Re: Paradise Trinity Day
Re: VP of Godot design
Rod
When Quadrature tempts with Cartesian symmetry.heaven and earth are not so distant
Rod
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Re: Paradise Trinity Day
Re: VP of Godot design*
"Say what?!" Just follow the star.
* updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf
Rod ... ...
When Quadrature impresses with Cartesian symmetry.heaven and earth are not so distant
"Say what?!" Just follow the star.
* updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf
Rod ... ...
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Re: Paradise Trinity Day
Re: Defining Q design
Quadrature simplified with its defining objects.
Rod
Quadrature simplified with its defining objects.
Rod
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Re: Paradise Trinity Day
Re: Defining Q design
Large golden scalene triangle contains two sets of identical right triangles,
where one triangle pivots at its 90 degree angle onto the other, creating a smaller
but similar scalene ... and each pair of similar sides has sqrt(2) relationship
This folding (or unfolding) deserves a name for new geometric object.
Rod ... ...
Geometer's secret ...Quadrature simplified with its defining objects.
Large golden scalene triangle contains two sets of identical right triangles,
where one triangle pivots at its 90 degree angle onto the other, creating a smaller
but similar scalene ... and each pair of similar sides has sqrt(2) relationship
This folding (or unfolding) deserves a name for new geometric object.
Rod ... ...
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Re: Paradise Trinity Day
Re: Defining Q design
Dunno! From the UB ...
"7-fold electronic organization of prematter"
"fundamental to universe organization"
"associative possibilities of 3 Deities"
"periodic table qualities recur by 7’s"
"seven colors in natural spectrum"
"On the seventh day He rested."
Rod
What does the red '7' represent?Quadrature simplified with its defining objects.
Dunno! From the UB ...
"7-fold electronic organization of prematter"
"fundamental to universe organization"
"associative possibilities of 3 Deities"
"periodic table qualities recur by 7’s"
"seven colors in natural spectrum"
"On the seventh day He rested."
Rod
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Re: Paradise Trinity Day
Re: Defining Q design
and circle-squaring right triangle) ... plus the circle's objects of Quadraturial persuasion ...
all downstep (or upstep) by sqrt(2).
"Say what?!" The circle and its sqrt(2) sibling have similar Quadrature
... as proven by simple Pythagorean geometry!
"Quadrature is impossible!" In traditional Cartesian Neighborhoods.
Rod ... ...
Astute geometers know that circle's inscribed quadrilateral (adjoined isosceles right triangleQuadrature simplified with its defining objects
and circle-squaring right triangle) ... plus the circle's objects of Quadraturial persuasion ...
all downstep (or upstep) by sqrt(2).
"Say what?!" The circle and its sqrt(2) sibling have similar Quadrature
... as proven by simple Pythagorean geometry!
"Quadrature is impossible!" In traditional Cartesian Neighborhoods.
Rod ... ...
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Re: Paradise Trinity Day
Re: Defining Q design
The red dash dash dot dot dot is Morse Code for '7'
"And 'Q r s ?' " Yes, MC
Rod
Geometer's secret ...Quadrature simplified with its defining objects
The red dash dash dot dot dot is Morse Code for '7'
"And 'Q r s ?' " Yes, MC
Rod
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Re: Paradise Trinity Day
Re: Defining Q design
"Final, final" seems descriptive yet again ...
since this simplification reveals a certain isosceles trapezoid
with geometric similarity in EVERY sqrt(2)-associated circle!
Rod
"Final, final" seems descriptive yet again ...
since this simplification reveals a certain isosceles trapezoid
with geometric similarity in EVERY sqrt(2)-associated circle!
Rod
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Re: Paradise Trinity Day
Re: Defining QT design*
(since similar Trapezoids exist all over this Neighborhood)
* updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf
Rod ... ...
(since similar Trapezoids exist all over this Neighborhood)
* updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf
Rod ... ...
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Re: Paradise Trinity Day
Re: Bearly Triangles design
(another sqrt(2)-hosted Neighborhood)
Geometer's secret ...
The allusion of "Bearly Triangles" is a geometer's secret.
Rod
(another sqrt(2)-hosted Neighborhood)
Geometer's secret ...
The allusion of "Bearly Triangles" is a geometer's secret.
Rod
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Re: Paradise Trinity Day
Re: Bearly Triangles design "5, 4, 3, 2, 1"
Perhaps TMI even for salivating geometers (of Quadraturial persuasion),
but plentiful patterns persist and assist in the addition of more stuff.
Rod ... ...
Perhaps TMI even for salivating geometers (of Quadraturial persuasion),
but plentiful patterns persist and assist in the addition of more stuff.
Rod ... ...
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Re: Paradise Trinity Day
Re: Bearly Triangles design
"5, 4, 3, 2, 1 and/or 4, 2, 1"
There's fearmonger, cheesemonger, fishmonger ...
and Qmonger (pronounced "queuemonger" or "cuemonger",
purveyor of Quadrature, aka "squaring the circle")
For refreshing respite from C-19 news, consider ...
What's the allusion in the title "Bearly Triangles"
Rod
"5, 4, 3, 2, 1 and/or 4, 2, 1"
There's fearmonger, cheesemonger, fishmonger ...
and Qmonger (pronounced "queuemonger" or "cuemonger",
purveyor of Quadrature, aka "squaring the circle")
For refreshing respite from C-19 news, consider ...
What's the allusion in the title "Bearly Triangles"
Rod