
Re:
http://aitnaru.org/threepoints.html (improved design)
After a very late bedtime (4:00 AM) followed by a no-alarm wake-up

, I was treated to a morning prompt show:
First two times observed, about 5 min. apart: 11:11 AM in the bedroom, then 10:10 AM in the kitchen.
I would synchronize these clocks but enjoy these rare "complementary" prompts!
Totally geek ... and great closure for the mysterious horizontal line (the one when drawn months ago was complemented with the noise of my smoke alarm in another room; I didn't know until yesterday whether its significant length was as displayed now or was the shorter length, forming the side of the right triangle):

In this "Carats in the Pi" design, the embedded, magenta right triangle was colored specifically to emphasize this horizontal line (but the triangle visually blends with the design). The two ends of the hypotenuse of this triangle form pivot points for the straight lines which represent sides of a square inscribed in the large circle (not the same square; their length is the significance).
The "closure"? The two lines must be placed precisely in order for this geometric composition to display the square of this circle having a diameter of 2 (actually, 2,000,000 in this design). Any other positioning effectively constructs a circle having a different diameter.

How to know the precise positions? A straight line drawn from the top end of one line to the top end of the other line must touch the 90 degree vertex of the magenta right triangle. Thus, this right triangle (the horizontal line, specifically) eventually deriving from the smoke alarm's false signal, has been the motivating albatross of various geometric objects during this year's voyage.
Note: the magenta, right triangle has two sides, each representing half the square root of Pi.
Rod ...

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