Paradise Trinity Day

[Amigoo]

Re: AD8om design ("new & improved")

Who knew?! Squared circle aficionados are no longer "Behind the eight ball"
... or rather, they're now behind an 8 ball that is allegedly "impossible"!

HCIT! "at_One_Ment" ("at OM") promotes the new "at home" mantra.

Rod ... ... (still exploring the 8 points of a compass
... of "impossible" squared circle construction)

[Amigoo]

Re: AD8om design
'X' shape object (red) appears to correlate circles squared
in this "at OM" Cartesian neighborhood (and note the 'H').

Especially noteworthy:
Ratio of top diagonal line to bottom horizontal line = sqrt(Pi).
Diameters of two largest circles: 1, sqrt(Pi)/2

Rod

[Amigoo]

Re: AD8om design

It's believable that OM should be associated with the "impossible" squared circle!
since this geometry hints that "impossible" is just human opinion - not fact.

And this quote only states that a circle cannot be a square at the same time,
but says nothing about equal geometric areas of a circle and square:
"even the infinite God cannot create square circles" (118:5.1)

Rod

[Amigoo]

Re: AD8om design

Design now includes 8 circles, squared.
(of course! Does a bear just sit in the woods?)

Rod (just sitting at the laptop)

[Amigoo]

Re: Open Portal design

“Squared circle geometry appears esoteric
… when the scalene portal is open.”

Rod ... ... (navigating toward the portal)

[Amigoo]

Re: Open Portal design

“Squared circle geometry appears esoteric
… when the scalene portal is open.”

HCIT As improved, the design's red 'Z' (and allusion to “Concentrizity”)
is geometrically locked in place by the adjoining two squares (dark blue).

Rod

[Amigoo]

Scalene Ring Tone design

Simple CHYMN met a Pi man, parting from the fair.
Said the Pi man to Simple CHYMN: “My Pi's are in repair
to lockers cold, thus wrapped - not sold; leftover fare is fair
for sweet repose, then new expose of Pi beyond compare!”

CYHMN

Rod

[Amigoo]

Re: SqRT(2,Pi) design

Shows direct relationship of sqrt(2) and sqrt(Pi)
... within a certain trapezoidal concentrizity.

sqrt(Pi) / sqrt(2) =
1.7724538509055160272981674833411..
/ 1.4142135623730950488016887242097..
= 1.2533141373155002512078826424055..

1.2533141373155002512078826424055..^2
= 1.5707963267948966192313216916398..
= Pi/2

"SqRT" alludes to Scalene Ring Tone,
geometry from which SqRT(2,Pi) is derived.

=Rod ... ...

[Amigoo]

Re: SqRT(2,Pi) design

Added to this file to total 8 pages:
http://aitnaru.org/images/Geometry_of_the_Cross.pdf

Rod

[Amigoo]

Re: Pi BC design (BC = Beyond Compare)

Derived from SqRT(2,Pi) design, and because squared circle geometry (objects)
existed upon creation of the physical universe, many millennia before "B.C."

Theory: "Pi Beyond Compare" must be sqrt(Pi)/sqrt(2)
... since this value defines both a circle and its square!

1.7724538509055160272981674833411.. sqrt(Pi), side of circle's square for D = 2
/ 1.4142135623730950488016887242097.. sqrt(2), side of inscribed square for D = 2
= 1.2533141373155002512078826424055.. sqrt(Pi)/sqrt(2), united sqrt(Pi) and sqrt(2)

Hmmm ... How to create the supporting geometry

Rod ... ...
(off to investigate a certain scalene triangle)

[Amigoo]

Re: Pi BC design (BC = Beyond Compare)

"Been there! Done that!" (design completed)
However, this geometry prefers to speak for itself.

Rod

[Amigoo]

Re: TLO design

"Let's wait and see."

Rod ... ...

[Amigoo]

Re: TLO design
"Let's wait and see."

Well ... what I see now is that the red right triangle and two golden lines
highlight line length relationships existing only when the circle is squared,
... especially sqrt(Pi) and 2(sqrt(1/Pi)).

As for sqrt(Pi)/sqrt(2) ... a first step of a long journey.

Rod

[Amigoo]

Re: TLO Two design
aka "TLO Too, TLO2, TLO II, ...

But "two" is best allusion to the two adjoined trapezoids that lock
two related isosceles right triangles in a squared-circle embrace.

Say what?!
Geometry derived from a beginning focus on sqrt(Pi)/sqrt(2).

Rod ... ... (off testing a single harmonic Too:
sounds like TLO Too, TLO Too, TLO Too,

[Amigoo]

Re: Pythagorean Spectacles design (P.S.)
aka "A^2 + B^2 = C^2"

Rod (P.S. such an old story ...
to have envisioned squared circles!)

CYHMN

[Amigoo]

2016 "final, final" (Not how to get there,
but what you may see when you arrive.)

Final design: Pythagorean Spectacles
(Pythagoras knew about squared circles?!)

Final PDFs:
http://aitnaru.org/images/Concentrizity_Squares.pdf
http://aitnaru.org/images/Geometry_of_the_Cross.pdf

Rod ... ...

[Amigoo]

Re: Pythagorean Spectacles design

Red cross was added because points for it exist in the geometry.

How the two longest red lines have equal length and the shorter line
has half that length is a mystery, perhaps known only to Pythagoras
... or to geometers wearing Pythagorean Spectacles.

Rod

[Amigoo]

http://www.answers.com/Q/What_does_it_m ... Spectacles

But avoid the bi- and tri-focals ... if lines must connect.
(Rather a fuzzy line of agreement than a disconnect of conflicting points.)

Note: Content of this site's Q may change,
depending on future contributors and moderator.

Rod

[Amigoo]

Re: Pythagorean Scalenity design
(exploration of Pythagorean Spectacles)

Who knew?! Pythagoras invented the Scalene Square,
a circle-squaring geometry tool.

Rod

[Amigoo]

Re: Wheels of Fortuna design

Sounds like: "Four TUNA" and alludes to:
sets of Triangular Univocal Notional Angles
(aka, replicating squared circle geometry).

Who knew that TUNA were so esoteric
... and long-believed "impossible"?!

Rod

[Amigoo]

Re: Wheels of Fortuna design

Hmmm ...
"TUNA" may allude to the "ichthys" theme
in the "Geometry of the Cross" design.

Rod

[Amigoo]

Re: ForTUNA Tria design
(aka, "Three Fortunes")

Sounds like: "Four TUNA" and alludes to:
sets of Triangular Univocal Notional Angles.

Design highlights circle-squaring integration
of the isosceles right triangle.

Rod

[Amigoo]

Re: ForTUNA Tria design
(aka, "Three Fortunes")

Who knew that TUNA were so esoteric
... and long-believed "impossible"?!

Regarding "Wheels of ForTUNA" ...
What to buy? A vowel or tartar sauce?

Rod ... ...

[Amigoo]

Re: ForTUNA Tria design
(aka, "Three Fortunes")

Means-Extremes of this geometry (Diameter ~~~ Side of circle's square)

2.8284271247461900976033774484194.. : 2.506628274631000502415765284811..
~~~
1.4142135623730950488016887242097.. : 1.2533141373155002512078826424055..

Calculation of proportions:

2.8284271247461900976033774484194.. x 1.2533141373155002512078826424055..
= 3.5449077018110320545963349666822..
~~~
2.506628274631000502415765284811.. x 1.4142135623730950488016887242097..
= 3.5449077018110320545963349666822

3.5449077018110320545963349666822..
/ 3.5449077018110320545963349666822..
= 1

One what? One transcendental unity?

Rod

[Amigoo]

Re: ForTUNA Triad design

Highlights geometric triad of sqrt(2), 2, 2(sqrt(2)).

Rod ... ...
(wondering how "final, final, final" of 2016
was then followed by one more in 2017)