Re: Source and Center design
The irregular, symmetric octagon (light blue) was drawn last
while attempting to find geometric justification for the large
squared circle that surrounds the central busyness.
Points and lines in this Cartesian universe do not appear to define
the outer squared circle, but the integrated octagon proves that
quadrature exists upon this inhabited planet.
Rod ... ...
Paradise Trinity Day

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Re: Paradise Trinity Day
Re: Trivial Pursuit design
After the geometric grandeur of Source and Center, this latest geometry
seems such trivial pursuit, but it does show relationship of the octagon
to the large squared circle:
Hypotenuse of golden isosceles right triangle x 2 = diameter of large circle;
side of isosceles triangle x sqrt(Pi) x sqrt(2) = side of large circle's square.
Rod
After the geometric grandeur of Source and Center, this latest geometry
seems such trivial pursuit, but it does show relationship of the octagon
to the large squared circle:
Hypotenuse of golden isosceles right triangle x 2 = diameter of large circle;
side of isosceles triangle x sqrt(Pi) x sqrt(2) = side of large circle's square.
Rod

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Re: Paradise Trinity Day
Re: SoQ design (pronounced "So Q!")
More "quadrature simplified", developed from study of Trivial Pursuit.
This new geometry could be called Trivial Pursuit II, but displays
intriguing circlesquaring similarities of the two circles,
one a sqrt(2) sibling of the other.
Rod ... ...
More "quadrature simplified", developed from study of Trivial Pursuit.
This new geometry could be called Trivial Pursuit II, but displays
intriguing circlesquaring similarities of the two circles,
one a sqrt(2) sibling of the other.
Rod ... ...

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Re: Paradise Trinity Day
Re: SoQ design ("So Quadraturial!")
(typical geometric replication in circles all squared)
Rod
... but now there are three similar circles!intriguing circlesquaring similarities of the two circles
(typical geometric replication in circles all squared)
Rod

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Re: Paradise Trinity Day
Re: SoQ design ("So Quadraturial!")
Now with three circles all squared.
Perhaps, geometric proof that ...
either sqrt(2) is transcendental
... or Pi is not.
Current portfolio:
http://aitnaru.org/images/The_Right_Triangle.pdf
I knew that "squaring the circle is impossible",
but did not know that it's so difficult!
Rod ... ...
Now with three circles all squared.
Perhaps, geometric proof that ...
either sqrt(2) is transcendental
... or Pi is not.
Current portfolio:
http://aitnaru.org/images/The_Right_Triangle.pdf
I knew that "squaring the circle is impossible",
but did not know that it's so difficult!
Rod ... ...

 Family
 Posts: 3886
 Joined: Fri Mar 17, 2006 8:32 pm
 Please type in these numbers: 46373: 0
 Please type in these numbers:91294: 0
 Location: Dallas, TX
Re: Paradise Trinity Day
Re: SoQ design ("So Quadraturial!")
An opportunity moment for a new English word
(from "squaring the circle", aka "quadrature")
Quadraturial  Something so difficult to achieve
that it's believed to be impossible.
Sample usage (husband to wife, both recently retired):
Let's go on our second honeymoon and start a new family
Wife: Part I sounds tempting and Part II could be quadraturial!
Husband: Let's try for one child  not four!
Rod
An opportunity moment for a new English word
(from "squaring the circle", aka "quadrature")
Quadraturial  Something so difficult to achieve
that it's believed to be impossible.
Sample usage (husband to wife, both recently retired):
Let's go on our second honeymoon and start a new family
Wife: Part I sounds tempting and Part II could be quadraturial!
Husband: Let's try for one child  not four!
Rod