Paradise Trinity Day

[Amigoo]

Re: Scalene Soirée design (enhanced)

When squared circle geometry waxes poetiK
... if you recognize the tri-sKalene pattern.

Rod

[Amigoo]

Re: Scalene Soirée design (f, f, f, ...)

Calligraphy on classroom wall:
"The person who says it cannot be done
should not interrupt the person doing it."

Conversation after class:
YC: "Can the circle be squared?"
MP: "What's your final point?"

Wisdom acquired:
"I knew that squaring the circle is impossible,
but I didn't know that it was so difficult."

Rod

[Amigoo]

Re: Scalene Soirée design (f, f, f, ...)

"I knew that squaring the circle is impossible,
but I didn't know that it was so difficult."

HCIT! The 'K' (short sides) identify scalene triangles whose tips (smallest angle)
map an isosceles right triangle (light blue lines in this geometry), obvious allusion
to the concentricty of the three circles, ... perhaps revealing the true geometry
of the UB's "three concentric circles"?

Rod

[Amigoo]

Re: Squares of Squares design
(a personal lesson, still repeating)

"Your geometry toy box is bottomless - when running in squared circles,
you will find infinite patterns, many suggesting circles all squared, ...
but no geometric solutions." (apparently)

Rod ... ... (off to find long-distance meter
to detect bottom of toy box).

[Amigoo]

Re: Squares of Squares design
“When running in ‘impossible’ squared circles,
welcome the foundational inscribed squares.”

you will find infinite patterns ... but no geometric solutions

I see that focus on one side of an inscribed square
(also a side of the unique scalene triangle) is worthy
guidance to possible discovery of a solution!

But speaking of "solution" ...
if you're fond of squared circle patterns,
you'll prefer that "solution" be delayed.

Rod

[Amigoo]

Re: Squares of Squares design
“When running in ‘impossible’ squared circles,
welcome the foundational inscribed squares.”

Scalene Soirée is lively, geometrically speaking,
but Squares of Squares is easier to digest visually.
The inner green circle was added to give better
definition to the smaller red scalene triangle .

A "tour de force" of replicating geometric objects
in three concentric circles, all squared.

The small blue circles are also squared
by the replicating geometry.

Rod ... ... (off to find circles not squared;
popular myth claims that some still exist)

[Amigoo]

Re: Squares of Sqrt(2) design

The Squares of Squares geometry was mysterious.
I sensed a noteworthy relationship of the squares.

Squares of Sqrt(2) highlights that relationship
with two CSC concentric circles.

Rod

[Amigoo]

Re: Squares of Sqrt(2) design
aka "Red Lamp Of Enlightenment"
(RLOE, pronounced "Arlo")

Length of longest golden line has sqrt(2) proportion to smaller golden diagonals.

Hmmm ... what light does a red lamp emit? Infrared?

Rod ... ... (off to find infrared buggy lights)

[Amigoo]

Re: Squares in Plane Order design
"7 circles squared - 4 effectively" (points exist)

Second final

Obviously, squared circle geometry that speaks for itself!
(something about replicating patterns)

Rod

[Amigoo]

Re: Circles in Plane Order design
(see here: http://www.aitnaru.org/images/gEotP.pdf )

"Revealing the parallelogram as coordinator
of circles and their squares in plane order."

Rod ... ... (now cruisin' in plane order)

[Amigoo]

Re: Side of Square Linkage design
"Replication Integration Pertubation"

I should have anticipated an "end of story" (if this be it) since I was relfecting on the seeming impossibility of creating simple geometry designs any more.

Rod ... ...

[Amigoo]

Re: Side of Square Linkage design
"Replication Integration Pertubation"

After writing five paragraphs about this experience and noting the RIP acronym, is the only thing I had saved before the system timed out, discarding that creating writing ... and leaving the misspelled "reflecting". With my current late-night attitude being , that creative writing can just stay where it went. "Life goes on" ... and I to bed.

A comment about the sub-title (in the PDF):

I was about to type "Replication Integration" when the font suddenly changed from my preferred Trebuchet MS to Lucinda Handwriting ("handwriting on the wall"?). Then, the two words begged for one more "tion" word" to add essence of rhyme; "Pertubation" came to mind immediately!

But then I noticed the RIP acronym. Hmmm ... the final design for this series?

Rod ... ...

[Sandy]

But then I noticed the RIP acronym. Hmmm ... the final design for this series?

It's a lovely design Rod. But I hope that doesn't mean you are hanging up your circle squaring equipment for good!

xxSandy

[Amigoo]

I hope that doesn't mean you are hanging up your circle squaring equipment for good!

Sandy,

Probably not - I wouldn't know what to do every morning after getting out of bed (alpha brain level at this time is ideal for exploration of the geometry). Besides, this routine promotes the morning Mugga G Tea ceremony* (1 1/2 cups green tea, consumed for the day's beginning hydration and accompaniment for a probiotic capsule). * this morning round of internet "break fast" includes at stop at 1111angels.

Hmmm ... "RIP" could also refer to "relax - the rest of the journey is but a stroll."

P.S. With the inclusion of an esoteric "keyhole" (identifies design's geometric center),
this oddly concentric set of circles could be a meditation focus for the Mugga G ceremony.

Rod

[Amigoo]

With the inclusion of an esoteric "keyhole" (identifies design's geometric center),
this oddly concentric set of circles could be meditation focus for the Mugga G ceremony.

HCIT! If designed as a real mug (size grande),
the keyhole could contain an eye that stares back.

Rod

[Amigoo]

Re: Side of Square Linkage design
"Replication Integration Pertubation"

Mugga G! (before this morning's green tea was consumed,
another plane arrived (light blue), also promoting "esoteric".

Rod

[Amigoo]

Re: Side of Square Linkage design (revised)
"Replication Integration Pertubation"

Who knew?! Squared circles are all about entanglement!
(try to get out of the neighborhood once enticed within)

Rod

[Sandy]

Who knew?! Squared circles are all about entanglement!
(try to get out of the neighborhood once enticed within)

The rest of us are having a ball watching you trying to get out. (And learning something along the way)

Coffee still has a huge hold on me in the morning. But I did buy some green tea.. hoping to reap some of the good benefits some day soon.
xxSandy

[Amigoo]

Re: SoSL II design concept
(aka Side of Square Linkage II)

Who knew?! The two inscribed squares whose exterior sides are cross-linked have not yet been drawn! When included, the center "busyness" will have to be pushed into the background (reduced in size) in order to display the entire composition. This is another example of a title being selected before the final geometry is known.

July 4th is the completion date for this dazzling display of entanglement.

Rod

[Amigoo]

Re: SoSL II design
(aka Side of Square Linkage II)

July 4th is the completion date for this dazzling display of entanglement.

"July 4th? What's the delay? Do it today!" (suddenly perceived mandate)
"Crazy fast!" (from an internet commercial)

Rod ... ... (off to draw the impossible)

[Amigoo]

Re: SoSL II design
(aka "Side of Square Linkage II")

"Been there! Done that!"

Crazy fast completion
(maybe related to approaching world events)

Rod

[Amigoo]

Re: SoSL II design upgrade
(aka "Side of Square Linkage II")

"Squared circles symmetry extraordinaire!"
(but looks like anti-symmetry at first glance)

Rod ... ... (off to find matching bow tie)

[Amigoo]

Re: SoSL II design
(aka "Side of Square Linkage II")

These colors support what this geometry wants to be:

A colorful, ordered "quick study" of squared circle patterns
where these circles are nested, integrated, and replicating.
Translation: WYSIWYG

Rod

[Amigoo]

Re: SoSL III design
"Replication, Integration, Pertubation, Affectation"

These SoSL designs are repeating the same story:
Salient objects (consistent components) of squared circles
are like mathematical building blocks - an infinite number of
compositions are possible ... especially when a circle's
inscribed square is a foundational component.

So many possibilities - so little time.

Rod ... ... (off to grippa RIPA)

[Amigoo]

Re: SoSL III design
"Replication, Integration, Perturbation, Affectation"

"Been There! Done that!"
(and corrected a spelling)

Rod