Page 151 of 186
					
				Re: Paradise Trinity Day
				Posted: Wed Jul 17, 2019 9:44 pm
				by 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  

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Fri Jul 19, 2019 12:44 pm
				by 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   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Sun Jul 21, 2019 12:48 pm
				by 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  ...  

  ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Mon Jul 22, 2019 2:33 pm
				by 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   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Tue Jul 23, 2019 5:22 pm
				by 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  ...  

 ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Wed Jul 24, 2019 12:06 am
				by 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)
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Wed Jul 24, 2019 12:12 pm
				by 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 ...  

  ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Thu Jul 25, 2019 11:55 am
				by 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   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Thu Jul 25, 2019 2:00 pm
				by 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  ...  

  ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Thu Jul 25, 2019 11:37 pm
				by 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   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Fri Jul 26, 2019 4:37 am
				by 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   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Fri Jul 26, 2019 11:07 am
				by 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 ...  

  ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Sat Jul 27, 2019 6:22 pm
				by 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  ...  

  ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Sun Jul 28, 2019 12:22 pm
				by 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   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Mon Jul 29, 2019 8:44 pm
				by 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   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Tue Jul 30, 2019 2:22 pm
				by 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  ...  

 ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Tue Jul 30, 2019 2:58 pm
				by 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   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Wed Jul 31, 2019 6:46 am
				by 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   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Thu Aug 01, 2019 1:11 am
				by 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 ...  

 ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Sat Aug 03, 2019 11:11 am
				by 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  

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Sun Aug 04, 2019 3:33 pm
				by 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  ...  

  ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Sun Aug 04, 2019 3:49 pm
				by 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   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Mon Aug 05, 2019 1:55 pm
				by Amigoo
				
 Re: Symmetry of Soul design
"Quadrature with symmetry ... and soul"

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

  ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Tue Aug 06, 2019 3:14 pm
				by 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   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Tue Aug 06, 2019 11:11 pm
				by 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  ...  

  ...