Paradise Trinity Day

[Amigoo]

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, ..")

[Amigoo]

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

[Amigoo]

Re: Holy Hexagon design

"Holy Irregular Hexagon, Pattman!"

Rod ... ...

[Amigoo]

Re: Holy Hexagon design

Holy irregular hexagon, Pattman!

Geometer's secret ...
Every side forms a triangle having a 45 degree vertex opposite the side
(according to the astute observation of the resident Pattern Man).

Rod

[Amigoo]

Re: Holy Hexagon design

Holy irregular hexagon, Pattman!

Another geometer's secret ...

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 ... ...

[Amigoo]

Re: Holy Hexagon design

Holy irregular hexagon, Pattman!

Quadrature is defined by a parallelogram
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

[Amigoo]

Re: QQuiescence design*

"And then there was ..." (a bird's eye view)

* added to: http://aitnaru.org/images/Yin_Yang_Pi.pdf

Rod ... ...

[Amigoo]

Re: QQuiescence design

And then there was ...

Who knew
Quadrature is all about geometric balance ... precise balance.

Rod

[Amigoo]

Re: QQuiescence design

Then there was ... (and geometric balance)

Geometer's secret (where largest D = 2.0) ...
Line length ratio of vertical red line to each horizontal red line
= sqrt(Pi) / sqrt(4-Pi) = 1.9130583802711007947403078280205..

Rod ... ...

[Amigoo]

Re: Goal-to-Go design

Obviously, sqrt(2) will be on the winning side.

Rod

[Amigoo]

Re: Goal-to-Go design

When Quadrature tells the fairy tale ...
"Grandma Sqrt(2), what big heirs you have!"

Rod ... ...

[Amigoo]

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

[Amigoo]

Re: Goal-to-Godot design

heaven and earth are not so distant

Design closure seemed to be waiting for something ...
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 ... ...

[Amigoo]

Re: VP of Godot design

heaven and earth are not so distant

When Quadrature tempts with Cartesian symmetry.

Rod

[Amigoo]

Re: VP of Godot design*

heaven and earth are not so distant

When Quadrature impresses with Cartesian symmetry.
"Say what?!" Just follow the star.

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

Rod ... ...

[Amigoo]

Re: Defining Q design

Quadrature simplified with its defining objects.

Rod

[Amigoo]

Re: Defining Q design

Quadrature simplified with its defining objects.

Geometer's secret ...
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 ... ...

[Amigoo]

Re: Defining Q design

Quadrature simplified with its defining objects.

What does the red '7' represent?
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

[Amigoo]

Re: Defining Q design

Quadrature simplified with its defining objects

Astute geometers know that circle's inscribed quadrilateral (adjoined isosceles right triangle
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 ... ...

[Amigoo]

Re: Defining Q design

Quadrature simplified with its defining objects

Geometer's secret ...
The red dash dash dot dot dot is Morse Code for '7'

"And 'Q r s ?' " Yes, MC

Rod

[Amigoo]

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

[Amigoo]

Re: Defining QT design*
(since similar Trapezoids exist all over this Neighborhood)

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

Rod ... ...

[Amigoo]

Re: Bearly Triangles design
(another sqrt(2)-hosted Neighborhood)

Geometer's secret ...
The allusion of "Bearly Triangles" is a geometer's secret.

Rod

[Amigoo]

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 ... ...

[Amigoo]

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