Page 137 of 186
					
				Re: Paradise Trinity Day
				Posted: Tue Dec 18, 2018 8:35 am
				by Amigoo
				
 Re: Plane2C_iQ design ("impossible" Quadrature)
(updated in: 
http://aitnaru.org/images/Khristos_Voskrese.pdf )
Apparently, this geometry defines a dodecahedron
  Who knew 
  
  
"Dodecaphobia" might next refer to fear of the Quadraturial docdecahedron
... especially since "dodecaphobia" contains twelve letters.  
 
Rod  ...  

 ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Tue Dec 18, 2018 4:53 pm
				by Amigoo
				
 Re: Plane2C_iQ design 
Apparently, this geometry defines a dodecahedron
"Star fish" came to mind first, but now I would say "sand dollar":
https://www.mnn.com/earth-matters/anima ... nd-dollars
 
   Who knew?! The five segments of a bleached white sand dollar
mysteriously parallel the five triangles of Plane2C~iQ geometry.
Rod   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Wed Dec 19, 2018 8:03 pm
				by Amigoo
				
 Re: Plane2C_iQ design (more lines)
aka "The caged Pi sings" ...
or keeps snoozing o'er the E-R Bridge.  
  

 Who can tell ?!  
"E-R" may refer to "Epochal Revelation"   
 
Rod  ...  

 ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Thu Dec 20, 2018 3:58 pm
				by Amigoo
				
 Re: Plane2C_iQ design 
The caged Pi sings
 
   Geometers'  secret  ...  
Sides of the "bird cage" square have sqrt(2) relationship 
to the sides of the decahedron's perimeter. HCIT!  

 ... and suggesting that the 6-sided perimeter 
can be calculated from dimensions of a square!  
... ever closer to performing Quadrature.   
 
Rod   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Thu Dec 20, 2018 9:02 pm
				by Amigoo
				Re: 
https://www.investmentwatchblog.com/wev ... r-the-hig/
 
  While communication devices' radiation negative effect is still accumulating,
device-facilitated "spying" is oft in the news, with 5G networks o'er the horizon!   
 
Rod   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Fri Dec 21, 2018 6:56 am
				by Amigoo
				
 must be the cause! (previous post belonged to a different topic)

 Re: Plane2C_iQ design 
Geometers'  secret ...
"Caged Pi" refers to all the surrounding sqrt(2) action in this Cartesian composition.   
 
 
   About the "sand dollar" ... 
(dodecahedron with five 45-degree angles and one 135-degree angle per side) 
Re: 
http://www.dodecahedron.us/Dodecahedron.html
"The Dodecahedron has been a source of metaphysical interest for at least 2000 years. Like a crystal or gem, its facets and symmetries compel our eyes and hearts to observe life more deeply. Some have believed that the Dodecahedron represents an idealized form of Divine thought, will, or idea. To contemplate this symbol was to engage in meditation upon the Divine. Today many people believe there is a lost knowledge residing in the past, slowly being rediscovered. It is known that figures like Pythagoras, Kepler, and Leonardo, among many, were educated in these Sacred Geometries, and held many beliefs about them and their role in the Universe."  
 
Rod   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Fri Dec 21, 2018 7:39 am
				by Amigoo
				
 Re: Plane2C_iQ design
Who knew   
  
   "The Caged Pi Sings" 
is a great title for a new opera about Quadrature and its history.
("opera" because music is important to this story)
Rod   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Fri Dec 21, 2018 8:03 am
				by Amigoo
				
 Re: Plane2C_iQ design
Geometers' secret (confession) ...   
 
 
   "Dodecahedron" is a different, more symmetric geometric shape - 
Plane2C~iQ is described as "dodecahedron" because of its 12 faces:    
. 

 . 

 . 

 . 

 . 

 . 

 . 

 . 

 . 

 . 

 . 

 . 

 . 
Who knows what its real shape would be called 
  
 
   Maybe a name so sacred it cannot be spoken 
... since the geometry might be "imaginary".   
 
Rod  ...  

 ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Fri Dec 21, 2018 1:55 pm
				by Amigoo
				
 Re: Plane2C_iQ design
Who knew 
  
  
The apple o'er the E-R Bridge is nibbled from both sides! Arc 

  Arc 
 
(arcs help identify 3 circles joined on shared side of inscribed square)
Note: In ethereal space an apple can appear blue.   
 
Rod   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Sat Dec 22, 2018 4:44 pm
				by Amigoo
				
 Re: Plane2C_
iQ design
Been trying almost daily for several weeks to decode this geometry,
but sqrt(2) keeps getting in the way 

   Obviously, a geometric clue 
to the long-proven "
impossible" 
Quadrature.    
 
 
  1.4142135623730950488016887242097..
"Either sqrt(2) is transcendental or Pi is not"   
 
Rod  ...  

  ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Sun Dec 23, 2018 11:51 am
				by Amigoo
				
 Re: Plane2C_iQ design
Simplified because ...
Once a mind ventures o'er the E-R Bridge
"I think therefore I am ... thinking ... I think."   
 
Rod   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Tue Dec 25, 2018 1:23 pm
				by Amigoo
				
 Re: Plane2C_iQ design
Cartesian concepts o'er the E-R Bridge
 

  Geometers'  secret:
Plane2C geometry shows two circles squared, sharing a side of their inscribed squares,
enclosing three circles squared, sharing two sides of their inscribed squares.  HCIT 
 
Rod   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Tue Dec 25, 2018 7:13 pm
				by Amigoo
				
 Re: Plane2C_iQ design
Cartesian concepts o'er the E-R Bridge

 Geometers' secret Pi:
In the Plane2C design, length of the vertical line in the smallest circle
has 1/Pi relationship to length of the diameter of that largest circle.   
1/Pi = 0.31830988618379067153776752674503..
2(sqrt(1/Pi)) = 1.1283791670955125738961589031215..
= ratio of line lengths in circle-squaring right triangle  
= 2/sqrt(Pi) = sqrt(Pi)/(Pi/2).   
 
 All the Pi you can eat ... 
transcendentally speaking ... 
once o'er the E-R Bridge.   
 
 
Rod  ...  

  ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Tue Dec 25, 2018 8:08 pm
				by Amigoo
				
 Re: Plane2C_iQ design
Cartesian concepts o'er the E-R Bridge
A few lines were added to give 1/Pi teeth   
 
and supporting personal perception that
sqrt(2) eats Pi.   
   
Rod   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Fri Dec 28, 2018 8:22 am
				by Amigoo
				
 Re: Plane2C_iQ design
Cartesian concepts o'er the E-R Bridge
 

   Who knew 
  
 
This quadrahedron has eyes!   
  
Rod  

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Fri Dec 28, 2018 5:55 pm
				by Amigoo
				
 Re: Plane2C_iQ design
Cartesian concepts o'er the E-R Bridge
  

  In 2019, beware The Wrath of 2
( sqrt(2) plans to eat more Pi )  
Rod ...  

  ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Sat Dec 29, 2018 9:47 am
				by Amigoo
				
 Re: Plane2C_iQ design
Cartesian concepts o'er the E-R Bridge
Long Story Short:   Patterns Rule!   
 
Rod  

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Sat Dec 29, 2018 4:28 pm
				by Amigoo
				
 Re: Plane2C_iQ design
2018 favorite slogan for a T-Shirt
and expression in Urban Dictionary:
"
When o'er the E-R Bridge, I eat Pi"   
 
Rod   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Sun Dec 30, 2018 10:10 am
				by Amigoo
				
 Re: Plane2C_iQ design
"When o'er the E-R Bridge, I eat Pi" 
 
 Another conceptualization of Pi (re: sqrt(2)) is the isosceles right triangle 
with hypotenuse as circle's diameter: a side associates with 1/4 of circumference;
continually dividing triangles in half associates with smaller arcs of circumference
... perhaps until a "Pi twin" is revealed.   
 
At least, sqrt(2) is shown to keep pace with transcendental Pi.   
  
Rod   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Sun Dec 30, 2018 3:53 pm
				by Amigoo
				
 Re: Plane2C_iQ design
"When o'er the E-R Bridge, I eat Pi." 
Quadraturial integration of sqrt(2)
via inscribed isosceles right triangle:
 

   Ratios of Diameter to Circumference
2 : Pi  ~  sqrt(2) : Pi/2
Means divided by Extremes   
 
4.4428829381583662470158809900607..  Pi(sqrt(2))
/ 3.1415926535897932384626433832795..  2(Pi/2)
=  1.4142135623730950488016887242097..  sqrt(2)
aka "Sqrt(2) eats Pi."   
  
Rod  ...  

  ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Mon Dec 31, 2018 3:22 am
				by Amigoo
				
 Re: Plane2C_iQ design
"When o'er the E-R Bridge, I eat Pi." 
 
   Who knew   
  
 
There lurks a Quadraturial Cube (Qube).  
 
(added to 
http://aitnaru.org/images/Khristos_Voskrese.pdf  
and appended as the new "Plane2C_Qube" design).   
 
Rod   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Tue Jan 01, 2019 8:48 pm
				by Amigoo
				
 Re: Plane2C_iQ design
"When o'er the E-R Bridge, I eat Pi." 
There lurks a Quadraturial Cube (Qube)
... and within the Qube, T'arcs 
(qube Teaser arcs, aka "Q'arcs")   
 
Rod  ...  

  ...
 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Tue Jan 01, 2019 10:40 pm
				by Amigoo
				
 Re: Plane2C_iQ design
Quadraturial Cube   (Qube w/ T'arcs)
… or tri-familial parallelograms?
Ultimately, quadraturial quietus.   
 
2019 resolution: www .aitnaru .org will expire
(after being converted to downloadable PDF;  
 
site's URL will be unavailable for a year)
Rod   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Wed Jan 02, 2019 2:29 pm
				by Amigoo
				
 Re: Plane2C_Qube design 
Socially speaking, the old "square" is now "qube" ...
as in "Sorry, this party is for circlers - not qubes!" ...
or "Cast aside conventions and qubic thoughts!" ...
or "CSC to infinity! in qubic quadrature."  
Rod   

 
			 
			
					
				Re: Paradise Trinity Day
				Posted: Fri Jan 04, 2019 4:22 pm
				by Amigoo
				
 Re: Plane2C_Qube design 
Revised coloring to highlight ...
essence of SymiQ (pronounced "sih 'meek"),
the 
Symmetry of "
impossible" 
Quadrature.
Rod   
