Paradise Trinity Day

[Amigoo]

Re: POET VP design*
"Hexagonal Qube of Visicae Piscis"

Re: https://temporarytemples.co.uk/project/fulley-wood-2019

"The main part of the design of this crop circle is hexagonal –
a large hexagonal shape sits within a standing ring of crop.
... little doubt that it intends to convey a 3 x 3 (3-D) cube."

Small world ... but it doesn't include Vesica!
(crop circle makers are still learnin')

Geometers' secret about Vesica Piscis ...
Ratio of near-vertical line in right face of Qube
to diameter of small golden circle = sqrt(1.5)

* page 12 of: http://aitnaru.org/images/Pi_Fork_n_Lute.pdf

Rod

[Amigoo]

Re: POETism design

Geometric restatement of the foundation of Quadrature:
a unique scalene triangle ... and associated right triangle
... and associated parallelogram ... and associated pentagon
... within sqrt(2) concentricity also hosting CSCSC.

"Say what?!" That's sum Quadrature

Rod

[Amigoo]

Re: POETism design
Highlights the lurking Vesica Piscis.

"Where's it at?"
Geometry 101 (ask a geometry nerd ... or nerd wannabe)

"Say what?!"
That's sum Quadrature

Rod ... ...

[Amigoo]

Re: VP in the Shadows design

With all that's happening geometrically in a Vesica Piscis union of two circles,
with each circle squared, VP is just an interesting bladder juxtaposition:
"sacred geometry" appears redefined with Cartesian sophistication.

Rod

[Amigoo]

Re: VP in the Shadows design
".shadow~wodahs." (pronounced "shuh 'doo dahs")

Geometers' secret about ".shadow~wodahs." ...

With so much replication and redundancy in this Quadrature (for months),
creative sub-titles are getting quite difficult. This seems to work!

Rod ... ...

[Amigoo]

Re: VP in the Shadows design
".shadow~wodahs." (pronounced "shuh 'doo dahs")

This advanced Quadrature design was shunned by human crop circle makers
because it's not characteristically symmetric and, like the math has proven,
may be impossible to authenticate.

Rod (shuh 'doo dah daze)

[Amigoo]

Re: VP in the Shadows design
".shadow~wodahs." (pronounced "shuh 'doo dahs")

With Vesica Piscis hosting circles all squared, opportunity exists
for geometers to go where no man has gone before. Shuh 'Doo Dah

Rod ... ...

[Amigoo]

Re: VP in the Shadows design*
".shadow~wodahs." (pronounced "shuh 'doo dahs")
* updated in: http://aitnaru.org/images/Pi_Fork_n_Lute.pdf

More simplified Shuh 'Doo Dah
(in Cartesian space, no one can hear you square)

Rod

[Amigoo]

Re: VP in the Shadows design, simplified
(in Cartesian space, no one can hear you square)

Small circle added to mark "this side up".

Rod ... ...

[Amigoo]

Re: VP in the Shadows design ("final, final")
In Cartesian space, no one can hear you square ...
and inside the box, no one can see you square.

Rod

[Amigoo]

Re: VP in the Shadows design ("final^3")

Finally, the "impossible" symmetry reveals itself
Two irregular, juxtapositional pentagons (integrated within Vesica Piscis)
have parallel sides of equal length. "That's sum Quadrature!"

... not to mention that the pentagons host circle-squaring right
and scalene triangles! Shuh 'Doo Dah

Rod

[Amigoo]

Re: VP in the Shadows design

pentagons host circle-squaring right and scalene triangles!

Geometers' secret ...

The long side of the circle-squaring right triangle (also side of a scalene)
identifies one side of that circle's square. HCIT Shuh 'Doo Dah

Rod ... ...

[Amigoo]

Re: VP in the Shadows design

Geometers' secret ...

The VP in the Shadows' geometric stick figure
defines (2 sides) a circle-squaring scalene triangle.
Shuh 'Doo Dah

Rod ... ...

[Amigoo]

Re: VP in the Shadows design

Geometers' secret ...

The 3 crossed lines in the center of Vesica Piscis identify 3 parallel line sets
of the 2 overlapping pentagons, lines whose midpoints are all equidistant
... and reflect on the irrational/transcendental nature of Pi (IMO).
Shuh 'Doo Dah

Rod

[Amigoo]

Re: VP in the Shadows design (recap)

The circle must be squared when adjoined circle-squaring objects
(e.g., unique right and scalene triangles) replicate - perfectly - within
nested Vesicae Piscis hosted by predictable CSC concentricity
(Circle inscribed in Square inscribed in Circle ...).

"Say what?!" That's sum Quadrature!

Rod

[Amigoo]

Re: VP in the Shadows design,
displayed in: http://aitnaru.org/images/Pi_Fork_n_Lute.pdf

Geometers' secret about the Vesicae Piscis ...

Ratio of perimeter-to-perimeter of overlapping outer circles
to the vertical line of the inner Vesica = 3.0, precisely ...
and further suggesting a Cartesian "Pi Corral" ...
since Pi is enclosed by the Vesicae.

Rod ... ...

[Amigoo]

Speaking of circles, (squared or not) ...

Re: https://temporarytemples.co.uk/event/su ... rence-2019

Crop Circle Conference 2019, Exploring the Crop Circle Phenomenon
2nd, 3rd & 4th August 2019 – The Bear Hotel, Devizes, Wiltshire, UK

Rod

[Amigoo]

Re: VP in the Shadows design

Who knew There's an Eye of Vesicae Piscis
(residual arcs from a peak into the increasing complexity of this "impossible" composition)

Rod

[Amigoo]

Re: VP in the Shadows design

Geometers' secret ...
The bar was set higher for the faux-circle makers ...
including a few arcs of another Vesica. Arc! Arc! Arc!

Rod ... ...

[Amigoo]

Re: Symmetry of Soul design
(embellishment of VP in the Shadows)

Geometers' secret ...
The bar was set impossibly high for faux-circle makers,
including yet another Vesica. Arc! Arc! Arc! Arc!

And note the additional symmetry of Quadrature,
layered upon the super complexity of VP in the Shadows,
well-revealing Quadrature's symmetry of soul.

Rod

[Amigoo]

Re: Symmetry of Soul design
"Quadrature with symmetry ... and soul"

Slightly recolored to highlight overlapping foundational pentagons.
"Say what?!" What you perceive may be "out of the box".

Rod ... ...

[Amigoo]

Re: Symmetry of Soul design
"Quadrature with symmetry ... and soul"

Geometers' secret ...
The 3 midpoints of the overlapping pentagons
define a parallelogram. HCIT

Rod

[Amigoo]

Re: Symmetry of Soul design
"Quadrature with symmetry ... and soul"

More Arc! Arc!
(defines perpendicular Vesica to the Tri-Vesicae)

Rod ... ...

[Amigoo]

Re: Symmetry of Soul design
"Quadrature with symmetry ... and soul"

Geometers' secret ...

This geometry refuses to reveal any more than it does, so the central Eye On Pi (EOP)
is the artistic final touch. All 3 circles have sqrt(2) relationship, with the golden circle
having a diameter that represents sqrt(Pi).

2.506628274631000502415765284811..
1.7724538509055160272981674833411..
1.2533141373155002512078826424055..

2.506628274631000502415765284811..
/ 1.2533141373155002512078826424055.. = 2.0

Rod

[Amigoo]

Re: Point of Quadrature design
"Geometry that speaks for itself" with convincing pattern

Nested concentricity of circles all squared.

"So, what's the real point ?!"
Dunno! Been searchin' for years!

Rod ... ...