Page 166 of 185
Re: Paradise Trinity Day
Posted: Tue Apr 21, 2020 3:47 pm
by Amigoo

Re: 77 and 7 design*
"Not only seven or seventy and seven
but seventy seven and seven"
... when sqrt(2) tells the story.
* added to:
http://aitnaru.org/images/Yin_Yang_Pi.pdf
Rod ...

...
Re: Paradise Trinity Day
Posted: Wed Apr 22, 2020 1:11 pm
by Amigoo

Re: Got Ham? design

Like the Bat-Signal of Gotham City ...
two overlapping trapezoids keep appearing in these compositions
that include all of the circle-squaring objects. Who knows
why a few geometers sense "Gotham" but most "Got ham".
Rod ...

...
Re: Paradise Trinity Day
Posted: Wed Apr 22, 2020 2:02 pm
by Amigoo

Re: Got Ham? design
Like the Bat-Signal of Gotham City
This makes a good Pop Quiz for geometry class:
Distribute design with "Got Ham? or Gotham? Explain." as instruction.
Real thinkers will reveal their inner GBS (Geometry Bat-Sense).
Rod

Re: Paradise Trinity Day
Posted: Wed Apr 22, 2020 6:52 pm
by Amigoo

Re: Got Ham? design
Like the Bat-Signal of Gotham City

Quadrature is an "impossible" concept (even to advanced mathematicians).
Therefore, an Open Box test is probably best for a student's first exposure.
Rod ...

...
Re: Paradise Trinity Day
Posted: Thu Apr 23, 2020 11:22 pm
by Amigoo

Re: Got Ham? design*
Like the Bat-Signal of Gotham City

Somehow, Boxes Rationale (aka "Boxers") keeps insisting
that Cartesian objects are binary and that "Boxers or Briefs"
is immaterial in most academia circles squared.
* updated in:
http://aitnaru.org/images/Yin_Yang_Pi.pdf
Rod

Re: Paradise Trinity Day
Posted: Fri Apr 24, 2020 5:33 pm
by Amigoo

Re: Got Ham? design
Like the Bat-Signal of Gotham City

Voted best T-Shirt sub-title:
"Life's a box … until it's opened.

Runner-up for best T-Shirt sub-title:
Life's a kite ... give it more string!
Rod

Re: Paradise Trinity Day
Posted: Fri Apr 24, 2020 6:32 pm
by Amigoo

And now this suggests that ...
the T-Shirt's title should be
"Got life?"
Rod ...

...
Re: Paradise Trinity Day
Posted: Sun Apr 26, 2020 12:22 am
by Amigoo

Re: Got life? design
Embellished for the String Theory of Quadrature.
Rod

Re: Paradise Trinity Day
Posted: Sun Apr 26, 2020 11:11 am
by Amigoo

Re: Juxtaprecision design
Two circle-squaring scalene triangles in precise sqrt(2) relationship,
including all lines and vertices as well as their squares!
... not to mention their equidistant vertices.
Rod ...

...
Re: Paradise Trinity Day
Posted: Sun Apr 26, 2020 1:34 pm
by Amigoo

Re: Juxtaprecision design*
"Quadrature defined … precisely"
* added to:
http://aitnaru.org/images/Yin_Yang_Pi.pdf
Rod

Re: Paradise Trinity Day
Posted: Sun Apr 26, 2020 6:56 pm
by Amigoo

Re: Juxtaprecision design
"Quadrature defined … precisely"

Who can tell
When adding a few more lines (red) for that geometric series,
"Icarus" came to mind, then "Escape of Icarus". Best guess:
precise flight path Icarus would have required.

And with a length relationship of sqrt(2),
those two lines suggest "Father and Son".
Rod ...

...
Re: Paradise Trinity Day
Posted: Mon Apr 27, 2020 4:33 pm
by Amigoo

Re: Juxtaprecision 2C design (pronounced "to see")
"Quadrature defined … precisely"

Who can tell

This irregular hexagon with similar sides
may be a new object that defines Quadrature.
Rod

Re: Paradise Trinity Day
Posted: Tue Apr 28, 2020 1:33 am
by Amigoo

Re: Juxtaprecision 2C design
"Quadrature 2C and/or not 2B?" (to see or not to be)

When circle-squaring objects keep appearing in the Neighborhood,
a geometer of Quadraturial persuasion can only herald "They're here!"
... for the portal "Impossible" has opened.
Rod ...

...
Re: Paradise Trinity Day
Posted: Wed Apr 29, 2020 12:48 am
by Amigoo

Re: Juxtaprecision 2B design

Who knew

The "irregular hexagon with similar sides" defines a box.
"Boxa Pi"?, "Boxa Juxtaprecision"? or "Outside the box"?
Rod

Re: Paradise Trinity Day
Posted: Wed Apr 29, 2020 6:18 pm
by Amigoo

Re: Juxtaprecision 2B design*
“Boxa Pi, Boxa Juxtaprecision and/or Outside the Box?”
OMG! Sqrt(2) is so "in your face" in this composition
of two overlapping, circle-squaring scalene triangles.
* updated in:
http://aitnaru.org/images/Yin_Yang_Pi.pdf
Rod ...

...
Re: Paradise Trinity Day
Posted: Thu Apr 30, 2020 5:47 pm
by Amigoo

Re: Seventh Inning design
A good time to get outside the box and stretch ... your mind.

Intersecting red lines define a circle-squaring scalene triangle?
Who knew?!
Rod

Re: Paradise Trinity Day
Posted: Fri May 01, 2020 10:10 am
by Amigoo

Re: Seventh Inning design
A good time to get outside the box and stretch ... your mind.

"When does 6.666666 = 7"
Never in eternity.
Rod ...

...
Re: Paradise Trinity Day
Posted: Fri May 01, 2020 7:55 pm
by Amigoo

Re: Seventh Inning design
A good time to get outside the box and stretch ... your mind.

Today's stretch reveals that the ratio of a circle's circumference to its diameter
equals transcendental Pi, but the circle's square remains mathematically associated
with sqrt(2), a non-transcendental value ... or is it
The
Curious Conundrum of Quadrature
Rod

Re: Paradise Trinity Day
Posted: Fri May 01, 2020 11:28 pm
by Amigoo

Re: Seventh Slice design
The Curious Conundrum of Quadrature
On the seventh day He rested ~ By the seventh slice, New Pi was revealed
(a geometric model to calculate perfect Pi, associated with sqrt(2)).

"Say what?!"
Go figure! (mathematically speaking)
Rod

Re: Paradise Trinity Day
Posted: Sat May 02, 2020 1:59 pm
by Amigoo

Re: Seventh Slice design*
The Curious Conundrum of Quadrature

Geometer's secret ...
This Cartesian Neighborhood (when Diameter = 2.0),
associates circle's Side of Inscribed Square (SoIS) with Pi/2.
Short side of slice (inscribed right triangle) is good focus
since short sides adjoin to create circle's circumference.

"So, what's the shortest short side possible?"
One of infinite number of points on circumference.

"So, Pi = Infinity/2?" When D of I = 2.0.
* updated in:
http://aitnaru.org/images/Yin_Yang_Pi.pdf
Rod ...

...
Re: Paradise Trinity Day
Posted: Sun May 03, 2020 5:55 am
by Amigoo

Re: Two Ps in a Pod design

Geometer's secret ...
(clue: Pod's "Ps" = two Pi)
Rod

Re: Paradise Trinity Day
Posted: Sun May 03, 2020 12:48 pm
by Amigoo

Re: Two Ps in a Pod design

Geometer's secret ...

(clue: relationship of a radius to an arc)
Rod

Re: Paradise Trinity Day
Posted: Sun May 03, 2020 9:53 pm
by Amigoo

Re: Two Ps in a Pod design
"C/2 = (2/r)^2 = Pi"

Geometer's secret ...

Relationship of a radius to an arc (different circles);
of a straight line to half a circumference.
For D = 2 and r = 2/sqrt(Pi),
2(Pi)/2 = (2/(2/sqrt(Pi)))^2 = Pi
Rod

Re: Paradise Trinity Day
Posted: Mon May 04, 2020 10:43 pm
by Amigoo

Re: Two Ps in a Pod design
(same Ps ... in a perfectly pointed pod)

Geometer's secret ...

Relationship of a radius to an arc (different circles);
of a straight line to half a circumference.
For D = 2 and r = 2/sqrt(Pi),
C/2 = (2/r)^2 = Pi, therefore ...
2(Pi)/2 = (2/(2/sqrt(Pi)))^2 = Pi
Ratio of hypotenuse to long side of right triangle (red)
= 2/sqrt(Pi) = 1.1283791670955125738961589031215..
And each line is also the radius of its circle.

Methinks the Pi doth protest, but ...
How doth the triangle poke the Pi
Rod ...

...
Re: Paradise Trinity Day
Posted: Tue May 05, 2020 5:45 am
by Amigoo

Re: Two Ps in a Pod design
(same Ps ... in a perfectly pointed pod)

Geometer's secret ...
This composition tells the story of a circle enclosed by a square and both "squared".
Neither circumference of the square's circle nor perimeter of the circle's square
reflect transcendental Pi. The magic of Quadrature or conundrum
Rod
