Paradise Trinity Day

[11light11]

To square the circle, one must circle the square

I first thought this read "To square the circle, one must square the circle," and it reminded me of the Koan, "What was the appearance of your face, before your grandfather was born?" Either way, even if it reads "To square the circle, one must circle the square," it elicits a delicious little mystery. I like how you say "Oh I get it!" and see what work there is to be done . . . you remind me of Isaac Newton, and the way he tirelessly holed up in his little attic researching the esoteric number-sequences found in the Bible . . .that part of his legacy is seldom discussed, but his certainty that he'd land upon important hidden information was untouchable. Your sense of knowing must come from somewhere -- and it is almost as though some deeper (or higher?) part of you 'knows' how to square the circle . . and while that exact method remains a mystery (8:08), you work toward your goal, 'feeling' that it is up ahead!

Cheers!

[Amigoo]

Michele,

Your comments are so true!

I've spent many hours at this computer in recent years, driven by some unknown force to keep pushing forward ... even immediately after those times when I've tried to convince myself to end the quest or to take a long break. "A battle rages within" would be a good description of these cycles; also, "social hermit living in a modern city". But progress - my "plateaus" - always proves that the relative solitude has been necessary to tap into this unseen guidance and purpose.

I'm still amused that a new neighbor once asked me several years ago "What are you doing in there?" (in my house). If she had ever watched me at the computer nitpicking these geometric designs ... hour after hour ... she would still have asked "What are you doing in there?" (in my mind). I could only have responded "I'll know when I know".

The symbolism of success, especially for future generations, must be that important to those forces! So, I yield ... habitually and patiently.

Rod

[Amigoo]

A new online discovery today (the site and its discovery both the likely influence of those same mysterious forces) ...

A geometry blog in the U.S., perhaps perfect for sharing "out of the box" perspective on squared circles:
"Mrs. P’s Geometry blog - Never, Ever, Never Give Up"

"Mrs. Pi" might become a good pseudonym for this other persistent geometer!

Rod

[Amigoo]

I'm already contemplating an epitaph ... after reviewing the long path
from random geometry to association of the square roots of 2 and Pi
to the magical properties of a certain inscribed scalane triangle
to conceptualizing rotational motion in the geometry
to identifying a possible proof for the triangle ...
which then squared the circle:

"I didn't know that performing the impossible would be so difficult and take so much time!"


Rod ...

[Amigoo]

Same story - another discovery cycle begins ...

Further research reveals that the goal is still in the future (more time and effort will be required). But that gives me a lot of time to practice chiseling my epitaph ... and add several exclamation marks to it. The circle squaring property of the scalene triangle is still confirmed, but how to draw it (by the Greek rules) and prove the geometry remains a mystery. I'll update the recent designs this week and remove any misleading clues.

I'll need to consult with Mrs. Pi(e) and obtain a tasty dessert for consolation.

Rod

[11light11]

I love what Mrs. Pi(e) offers as advice . . and also your comment: "I didn't know that performing the impossible would be so difficult and take so much time!" I used to be (still am, kind of) obsessed with filoviruses; specifically ebola and marburg. So much so, I almost pursued a Ph.D. in virology. (You'd be laughing too if you understood my science/math acumen.) But I still loved reading about the filoviruses' tireless researchers . . . intent on elucidating a sure-fire inoculation against these horrific diseases. Come to find -- they have! A few years ago they discovered a potent inoculation that has been proven to work . . now it's just the massive job of convincing some pharmaceutical giant to manufacture it . . that task may yet prove taller.

To me, the scientist, philosopher, mathematician and artist work tirelessly in pursuit of one common goal. It is only our bizarre modern age that regards these endeavors as radically separate. You are a true artist, and it's so inspiring to read what you describe . . the way you've got your neighbor-lady scratching her head over "what are you doing in there?!" You're a modern-day hero. Pondering reincarnation, I wonder about you and Isaac Newton . . kindred spirits, at the very least! The tradition of 'holing up' and self-isolating . .occasionally tempted to abandon your efforts, but being pressed on by a force you can't understand . . it is the great tradition of the age-old secret genius. Some day I am sure we'll be poring back over these pages, watching the process unfold (as, in retrospect, we'll realize them to be the documentation of the genius process)!

Keep at it!!!!!
btw, you wrote one of your last pasts at 10:01 . . . this is a good new sign that keeps popping up all over the place! And I continue to see :39 since you explained to me its meaning . . as well as :52, and the occasional :53 (the progression beyond)? Signs abound!

[Amigoo]

A brief comment about prompting that seems to relate to the geometry (and hints that the project goal is still achievable). These clues rarely help but this is understandable since I need to be working with specific lines in the complex geometry at the time for the clue to be obvious and meaningful.

Today's possible clue (prompt) 9:54 AM. When I glanced at the computer clock, noticing the time and sensing a prompt, I thought "That looks so familiar! What does it relate to?"

Just a few minutes of thought reminded me about a curious geometric object that seemed to have potential for problem solving: two perpendicular lines, one connected at the midpoint of the other and the other having twice the length of the connecting line. How did the prompt relate to this object?
Here are the line lengths: 954226.671, 1908453.342

Rod

[11light11]

Hmmm . . .so maybe you can take from this a push in that direction? To continue to explore around those line lengths? Pretty cool! I love when they do that . . when the prompts don't precisely match any particular formula or mathematical concept, maybe at those times you at least know they're offering support! It may still be a vote of confidence in whatever form!

[11light11]

8:08! Just as I was wondering where today's geometry will take us . . . Dr. Mendoza popping in with his own curiosity!!!

[Amigoo]

Michele,

I had forgotten about Dr. Mendoza's relationship to x:08, but see this prompt frequently enough in this group (either consecutively or during the day): x:06, x:07, x:08 and x:09. If I include x:26 and x:27 and all of the other prompts, my house begins to feel like a transportation hub. So, I notice many of them without devoting much thought to their purpose ... but stay appreciative of the visits!

I had almost given up on the recent geometry diagram because it had a conceptual flaw: "You can't get there from here!"

But after my good night's rest and then restructuring of the diagram (moved the pivot point to the other side), the geometry "awakened" with better potential (or so it seems). At least, trying to imagine the geometric objects in motion is good mental exercise.

Judging by the promising geometry which appears during exploration, the scalene triangle remains a great focus! This must be because of this triangle's relationship to the square roots of 2 and of Pi! With my mood improved today, I donated time to the bakery department: Praisin Bread (recipe now on the internet at breadexperience.com).

And with 4:08 PM saying "Hello" right now, I return to check on the rising sweet bread (and make some effort to start cleaning up the kitchen mess).

Rod

[11light11]

Rod,

Mmm, sweet bread! (More delicious-sounding than sweetbreads, which I was shocked to discover are the innards of certain animals ). I read this latest update without logging in last night, which produces GMT-times. There I discovered I'd posted a recent response to your search at 11:11, and your most recent post was also at 11:11! It was like placing a keycode over the data, and watching the hidden message pop out! Very cool. So there are layers to the support you receive! (9:11 right now!)

It's great to hear how often the Midwayers are checking in with you. During my GMT-review of this topic, I read back through the beginning discussion from 2010. While I had a vague understanding that you'd been at this for some time, there's nothing like reading the evidence of it, page after page -- I am in awe! Which goes triple for my line I drew between you and the late great Isaac Newton! I wonder if he's up there championing your cause . . I can't imagine they haven't elbowed him at some point and said "Hey Isaac, check this out!" I bet you've got him on the edge of his seat! Einstein would have been a fan of this search as well -- he was more into the esoteric than is commonly discussed, having written the forward to his buddy Upton Sinclair's book, "Mental Radio." The book proved the psychic abilities of Upton's wife Mary, and Einstein had reviewed the double-blind results and put his stamp of approval on the work, urging future scientists to continue further down the rabbit hole. Here you are!

Sorry my comments are always of the general variety and I have little to add math-wise, but I am still struggling to catch up. It's a mental challenge and I love it!

I was trying to share with a friend about the work you're doing (and he understands a bit more about math than I ); it was in trying to answer his questions, that I realized I didn't know the answers. I told him you're trying to square the circle . . he started asking, "Does he want to find the square root of the circle? the square root of Pi? Is he trying to square the circle geometrically, by placing a square around the circle? What?" I thought I understood what you were after until these questions came at me. Could you answer in English, please? What do you mean when you say "To square the circle, one must circle the square"? What does it mean to 'circle the square', and what does it mean to 'square the circle'? All this time later I thought my math acumen had taken me at least that far, but clearly it hasn't for my answers did not satisfy my curious friend . . .

Peace!

[Amigoo]

Michele,

The simple answer: "to geometrically create a square that has the same area as the circle".
Here's a good reference: http://en.wikipedia.org/wiki/Squaring_the_circle

The diagram with "r = 1" shows the 8 points on a circle (where the square is placed) that captured my attention four years ago. These points (or fewer) suggested to me that geometry does exist to square the circle and prove that it's squared.

But beware: the majority of mathematicians now believe that squaring the circle is impossible; a waste of time since it cannot be done ... and was proven so in 1882.

My out-of-the-box perspective says "Let's reduce the complexity and attempt this without so much Pi".

Rod

[11light11]

I'm with you; from the first, when you shared that others believe "It can't be done," I knew it could and that you were the one to elucidate this for the rest of us! Whether or not I understand the math involved, this much I feel confident about!!! It's rare to feel that sense of 'perfect knowing,' you know what I mean? It causes one to sit up and pay attention, when one senses that feeling . . which is why I am an ardent fan of your work! And as I shared, it's helping me to heal my wounded math heart of childhood.

You will most surely get there! And thanks for the explanation!!!

[Amigoo]

They can be persistent (another 9:54 prompt just now) ...

Perhaps more guidance, but at least sufficient motivation to post a related comment:
This diagram shows my current focus in the geometry: http://aitnaru.org/threepoints.html

I posted this comment (above) then returned to add this:

As I walked away from the computer, I was considering that a "100th Monkey" phenomenon was occurring: as soon as a sufficient number of people believe that the circle can be squared, someone will discover the solution (anyone might find it ).

I reached my destination and noticed the clock nearby: 10:10 AM

Rod

[11light11]

Gorgeous work, as always! Cheers! I get the chills seeing the updates . .

So you just received your :54 prompt . . I had a discussion only yesterday about :54 with a friend . . and a moment earlier, my wacky clock read :52, and I watched it turn to :53 (to return to an earlier discussion we had about 52 evolving into 53). I pondered the evolution/progression . . to find your :54 response! How about that???

[Amigoo]

We're definitely watching the same show ...

I've seen that x:52 to x:53 progression (one prompt becomes the next as we look) multiple times.
And now x:54 wants to extend the range: 52, 53, 54.

How cool is this:
My 10:10 prompt this morning complements my first post to this topic on 10/10/10:
"If not already declared On High, 10-10-10 presents favorable symbolism for a Paradise Trinity Day."

Whoa ... Prompt Central Station this morning (now 10:22)
I need a fat slice of Praisin Bread to boost my creative energy
(maybe a good day unfolding for significant progress).

Rod

[11light11]

I think so too, and you posted this at :33! I've noticed if I wonder about a prompt, they confirm it straight afterwards. I was thinking (a couple days ago) that I'm always catching the number shifting . . from :52 to :53, and now your :54. So once I had the thought, they answered it, and all day long I watched 12:33 turn to 12:34. . . (two prompts in one go!) :52 turn to :53 . . on like that all day! I think they like me to feel this is interactive. It becomes even more so when I hear about your experience -- and I just read this last night!:

"If not already declared On High, 10-10-10 presents favorable symbolism for a Paradise Trinity Day."

10:10 and 10:01 seem to be pushing an emerging dominance as we speak . . we've caught the same channel again.

[Amigoo]

New perspective today (Pivotal Arc diagram was updated) ...

The dark blue arc (circle's diameter = 4,000,000 units) is the "pivotal" arc (the more important geometric association with the pivot point at the top left of the diagram) because the large, dark blue, Pythagorean triangle confirms the "square of the circle": the golden circle (diameter = 2,000,000 units) is squared by the small red Pythagorean triangle at the top of the diagram. Thus both circles (golden and dark blue) are squared by the same Pythagorean triangle (same angles).

I've noticed this Pythagorean triangle (dark blue) for several weeks but didn't discover its intimate association with the small red triangle until today (a day of many prompts, almost like fireworks). Precise math association also: the area of the square of the dark blue circle is exactly four times the area of the square of the golden circle.

Sufficient reason to bake a square Pi and cut it into Pythagorean triangles (the whipped cream dollops can be circular).

"To square the circle, one must circle the square."

Rod

[Amigoo]

Hey kids, want to know when to stop the rotation
"Send in a stamped, self-addressed envelope and 3 cereal box tops ..."
(a memory from childhood TV offers)

Or just look at Pivotal Arc in the Parallel Dimensions PDF file:

- diagonal magenta line has same length as circle's chord (side of inscribed square).
- vertical dark blue line has same length as horizontal green line (bottom of scalene triangle)
(imagine that these lines stay vertical/horizontal as the circle rotates ).

Rod ... ...

[11light11]

"Send in a stamped, self-addressed envelope and 3 cereal box tops ..."
(a memory from childhood TV offers)

How about this one? "He has feet like a duck, but he's furry! It's all in my wildlife treasury!" Remember that commercial? My long-term memory by far exceeds my short-term memory, no question . . . (9:22)

Yesterday, after our :52, :53, :54 discussion, about evolving/graduating or progressing number sequences (and catching the changes), I was pondering where and how I might have seen this taking place in my life, prior to when I learned that 11:11 was an international Celestial phenomenon, and not my own better-than-random-chance noticing of these time prompts. I was driving around town, and just as I got to thinking about my younger self and wondering where and how the Celestials might have been encouraging me toward noticing their existence . . I passed a bank time/temperature digital sign, which read: 22 F 3:45p How about that for graduating numbers, complete with the Chief's hello-stamp! I had the sense he'd been poking into my life long before our 11:11 family taught me about his existence . . .

I thought this was just excellent:

I've noticed this Pythagorean triangle (dark blue) for several weeks but didn't discover its intimate association with the small red triangle until today (a day of many prompts, almost like fireworks). Precise math association also: the area of the square of the dark blue circle is exactly four times the area of the square of the golden circle.

This reminds me of how we approach something, we stare at it and it's like Greek to us . . then in one moment it simply pops, and we see its broader implications: we crack the hidden code! Sounds like those prompts really work in encouraging you to push that envelope . . .

Thanks for sharing! Michele

[Amigoo]

Michele,

If the symbolism in this geometry gets any hotter, I'm going to run outside and look for chariots of fire darting to and fro!

The IAM of squared circle geometry? (see Pivotal Arc IAM diagram in Parallel Dimensions PDF file):

If the squared circle is a symbolic uniting of heaven and earth, this updated diagram might display the IAM of such proof:
length of square's diagonal (midpoint to midpoint) = length separating the circle's two chords (midpoint to midpoint).

[ this post ended with our familiar x:52 to x:53 prompt ]

Rod ... ...

[11light11]

Very cool! I like how they do that: they realize we've been paying a lot of attention to the :52s and :53s, so they send some more along as you stumble into something hot!



The geometry on your site is stellar. Do you ever think about teaching high school sophomores? You might actually open their minds to math for change! I know I'd have been sitting up and paying attention in math class if I'd had a teacher like you . . . (With your Tree of Life material, you might even be hired at a Yeshiva!)

Love to you, Michele

[Amigoo]

Michele,

A local friend and UB reader also suggested that I teach geometry, but I would first need to learn much more than I know.

The greater value of my effort will be the enlightened instruction of all who teach because of their communicated advice to others, such as "Challenge all that is claimed to be impossible. Think "outside the box". Don't follow the herd. Be your advancing self - not the duplicate of another human."

This colorful, geometric symbolism will be nurturing and motivational.

Rod

[Amigoo]

Even hotter symbolism (but I didn't run outside): http://aitnaru.org/threepoints.html

The IAM square of the golden circle was discovered to also square
the circle inscribed in the square inscribed in the golden circle.
Of course, the IAM would be expected to so speak.

Rod

[Amigoo]

Hotter again ...

And I thought that the meaning of the mysterious "letter prompt" had been resolved:
Rotate this Pivotal Arc diagram clockwise 135 degrees and the 'I' becomes 'T'

Sublime symbolism of the Grand Universe: IAM + T(rinity)

Rod ... ...