Paradise Trinity Day

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Amigoo
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Re: Paradise Trinity Day

Post by Amigoo » Tue Nov 14, 2017 5:33 pm

:flower: 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. :roll:

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. 8)

Rod ... :bike: ...

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Re: Paradise Trinity Day

Post by Amigoo » Wed Nov 15, 2017 7:57 pm

:flower: 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. 8)

Rod :D

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Re: Paradise Trinity Day

Post by Amigoo » Thu Nov 16, 2017 3:07 am

:flower: Re: SoQ design (pronounced "So Q!")

More "quadrature simplified", developed from study of Trivial Pursuit. 8)

This new geometry could be called Trivial Pursuit II, but displays
intriguing circle-squaring similarities of the two circles,
one a sqrt(2) sibling of the other. :roll

Rod ... :bike: ...

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Re: Paradise Trinity Day

Post by Amigoo » Thu Nov 16, 2017 4:32 pm

:flower: Re: SoQ design ("So Quadraturial!")
intriguing circle-squaring similarities of the two circles
... but now there are three similar circles! :roll:
(typical geometric replication in circles all squared)

Rod :D

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Re: Paradise Trinity Day

Post by Amigoo » Fri Nov 17, 2017 4:44 pm

:flower: Re: SoQ design ("So Quadraturial!")
Now with three circles all squared. 8)

:geek: Perhaps, geometric proof that ...
either sqrt(2) is transcendental
... or Pi is not. :shock:

:roll 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! :roll:

Rod ... :bike: ...

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Re: Paradise Trinity Day

Post by Amigoo » Fri Nov 17, 2017 8:55 pm

:flower: Re: SoQ design ("So Quadraturial!")
An opportunity moment for a new English word :?:
(from "squaring the circle", aka "quadrature")

:idea: 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! :roll:

Rod :D

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