Tops of tees have the scalene-promoting angle of 72.59711263569060445173220475233.. degrees
Re: Inward Portal (new design)
So, how does an amateur geometer acknowledge x:22? Add one more design to the PDF file to create 22 pages. 
... 
What did I find? More circles, "Squared, of Course" (a new design). With a sheepish grin, I thought "Well, no one observed this post-lecture visit to the Toy Box." Then, I glanced at the computer clock: 10:10 AM. Hmmm ... 
Re: NTS x:46 (new design) 
As a child daring to look for the monster under the bed, discovering that "sanitas cyclometricus" might have limits is sobering.
Re: Radial Pi (another design, but just a "summary") A visual, concise summary of this year's research and symbolic complement to the squared-circles-gone-wild abstraction of NTS x:46. 
).
Long story short: the dark blue line found its true object ... along with complementing humor. Re: http://aitnaru.org/threepoints.html (click on design to view PDF file) For convenience, the "Alright, Triangles" drollery and two designs were isolated to a separate PDF file. Even if not so amusing, the drollery provides good examples of accidental innuendo and humorous mis-communication for English class deliberation. Or consider the drollery as script for a skit in Drama class and try to act the miscommunication, especially verbalizing "alright" and "all right". Or study the geometry in math class and determine if a certain right triangle really has the power to "square the circle" ... in three interconnected circles. To observe values for the square roots of Pi and of 2, let the largest diameter = 2 units (or 200, 2000, 2,000,000, etc.). ... Re: http://aitnaru.org/threepoints.html (click on design to view PDF file) In the Alright Triangles design, if the dark blue scalene triangle (3 lines) is drawn perfectly, the entire design of two squared circles can be drawn from this triangle: the smaller circle is drawn next, the larger scalene next, the larger circle next, then both circles can be squared with simple geometry. 
Re: http://aitnaru.org/threepoints.html Re: http://aitnaru.org/picorral.html (click on design to view PDF file) but first must be opened to view the contents. Re: Three Concentric Circles (new design) Somehow, just thinking about the Toy Box sends me back to peek inside yet again. This morning's peek was intense: I awakened from my evening's slumber and walked to the kitchen for a cool drink (diluted pomegranate juice), returning to the computer where I explored the geometry for two hours. Then, back to the kitchen a few times for a cup of coffee; no hunger interrupted the research until it was completed by mid-afternoon. ... Re: Circled Square Squared (new design) Sometimes, after rumaging for days in the Toy Box, one has to climb out and ask: 
Current set of designs:
Concise set of designs ( 8 pages* ): ... Another surprise in the Toy Box: it's possible to mix geometric metaphors! Tweaking the design for more satisfying geometry only caused more intrigue: Is that a bluefish caught in the soccer net? Re: Courtside View (new design) Finally, the recently recurring theme becomes obvious: Re: "This Way Up" (new design) One more sweep of the Toy Box before closing the lid for a "long winter's nap" revealed an unopened package. The instructions and diagram hint that one must visualize motion of some of the the geometric objects in order to discover solutions to this Greek challenge from antiquity. ... Re: "This Way Up" design (revised, description also)
"Esoteric" makes a better myth (but true if this palette discloses the secret to "squaring the circle"). Re: "This Way Up" design (palette adjusted) Today's insight (from description of Lone Star Tee design): Attempted review of the esoteric "This Way Up" palette:
As the hypotenuse line of the isosceles triangle (on the right of the design) rotates 45 degrees counterclockwise toward the center of the design, becoming the side of the isosceles triangle, the side of the other isosceles triangle (at the bottom of the design) rotates 45 degrees counterclockwise toward the center, becoming the hypotenuse of that isosceles triangle.
The two rotating lines have equal length (hypotenuse of green triangles) when geometric equilibrium is reached. Then, the opposite points of these lines are equidistant (red lines, equal to the square root of Pi). And the two rotated lines (hypotenuse of green triangles) have length equal to the side of a square inscribed in the golden circle.
In recent weeks, a new prompt has appeared: x:37. I was contemplating the value of this morning's geometry insight (below) when I glanced at the clock: 9:37 AM. If the circle which complements the starting T's [great pun: "tease"] (the set of overlapping T-shaped perpendicular lines which represent the square root of Pi and half its square root) can be derived from this approach, the rPi angle can be determined (angle between 90 degrees and a radius of 62.402.. degrees). Once rPi is known, any circle can be squared! More intrigue:
Re: "This Way Up" design (even more colorful) ... Re: Impossible Balance (new design) Why "Impossible"? This is not a solution but contemplation of proof ... Re: Impossible Balance design (keeps evolving) A quick note about "IBe" ... About the evolving design ... As displayed now, the design is a very good reference for the natural geometry of a squared circle. Surprisingly, an ancient sketch found recently in a cave (according to myth) highlights a previously overlooked anomaly: the outline of a capsule appears in the background. Perhaps, this alludes to a time capsule, intended to be discovered during this new millennium. Who knows? A portal may have opened with the arrival of the 14th Baktun! "Getting there" might now be easier than "impossible".