Paradise Trinity Day

[Amigoo]

Re: Bearly Triangles design*
"5, 4, 3, 2, 1 and/or 4, 2, 1"

* updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf

Speaking of triangles (all circles are effectively squared) ...

Smallest green triangle has precisely 1/16 area of largest green triangle,
proving that Pi is divisible by 2 and its sqrt(2) increments/decrements.

1.7724538509055160272981674833411.. sqrt(Pi)
x 1.4142135623730950488016887242097.. sqrt(2)
= 2.506628274631000502415765284811..

1.7724538509055160272981674833411.. sqrt(Pi)
/ 1.4142135623730950488016887242097.. sqrt(2)
= 1.2533141373155002512078826424055..

2.506628274631000502415765284811..
/ 1.2533141373155002512078826424055..
= 2.0

Rod ... ...

[Amigoo]

Re: https://www.usatoday.com/story/money/fo ... 959809002/

OMG Pi Day 2020 is almost here! (March 14)

... and since "Pi are square" (according to Quadrature),
round Pi is just an old culinary option.

Rod ... ... (off on wheels for free Pi deals)

[Amigoo]

Re: Bearly Triangles design (updated)
"5, 4, 3, 2, 1 and/or 4, 2, 1"

1. Is it possible to cut only scalene wedges of round Pi
2. Describe the geometric center of this wild 'n wedgy Pi.

Rod

[Amigoo]

Re: Q4 design

Stage four of Quadraturial metamorphosis

Rod ... ...

[Amigoo]

Re: Q4 design
"Stage four of Quadraturial metamorphosis"

March 14, at the House of Pi

Caller (on phone, talking to receptionist):
Receptionist: "How may I direct your call?"
Caller: "I noticed a new design in the window. What's the Q4?"
Receptionist: "There's always a queue when a new design is displayed."
Caller: "I mean the 'Q' and the '4'."
Receptionist: "A good moment at the counter!
There's usually an average of 3.14.. customers."

Rod

[Amigoo]

Re: Q4 design*
"Stage four of Quadraturial metamorphosis"

Aficionados of Quadrature can tolerate more geometric eye candy.

* updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf

Rod ... ...

[Amigoo]

Re: Q4 design
"Stage four of Quadraturial metamorphosis"

While 'Q4' refers to this stage four (alluded by the red "butterfly"),
'4' could also refer to the related four circles in sqrt(2) association
or even to the four sides of the circle's area square ...
or to the number between '3' and '5'.

Rod

[Amigoo]

Re: Q4Too design
"Lines of interest"

Some other lines for Pi Day 2020.

Rod ... ...

[Amigoo]

Re: Leftover Pi design
(recycled design w/ "Pi Fork")

Save leftovers from Pi Day for Quadraturial munchin' later.

Rod

[Amigoo]

Re: Leftover Pi design

"Today's Special: Leftover Pi" March 14, at the House of Pi
(sometimes leftovers are tastier than the first course)

Rod ... ...

[Amigoo]

Re: Leftover Pi design

"Today's Special: Leftover Pi" March 14, at the House of Pi
(sometimes leftovers are tastier than the first course)

With sign of authenticity: The Eye of Pi

Rod

[Amigoo]

Re: Leftover Pi design

Who knew
Eat some Leftover Pi (with the Pi Fork)
and you'll get a Pac-Man attitude about "impossible".

Rod ... ...

[Amigoo]

Re: Leftover Pi design
aka “Pythagorean Quadrature”

Given: Circle-squaring right triangle,
a = sqrt(Pi), b = sqrt(4-Pi), c = 2 = diameter

Since a^2 + b^2 = c^2
a^2 = Pi, b^2 = 4-Pi, c^2 = 4

Therefore a^2 + b^2 = 4
or Pi + (4-Pi) = 4
Who knew

Rod

[Amigoo]

Re: Leftover Pi design*
aka “Pythagorean Quadrature”

* updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf

Given: Circle-squaring right triangle, where
a = sqrt(Pi), b = sqrt(4-Pi), c = 2 = diameter

Every line of the "Pi Fork" (circle-squaring right triangle, green)
is associated with at least one other line, having a relationship
equal to one of these values: 2, sqrt(Pi), 2/sqrt(Pi)

Notes: Two lines in the center of the triangle are not shown.
Some lines have more than one relationship.

Rod ... ...

[Amigoo]

Re: Leftover Pi design
aka “Pythagorean Quadrature”

Few people know that tea is served at the House of Pi.

Rod ... ... ("Breaker! Breaker!")

[Amigoo]

Re: PQ design
(from Grand Opening of the House of Pi )

((2/sqrt(Pi))^2)/2 / (2/sqrt(Pi))/2 = 2/sqrt(Pi)

Rod

[Amigoo]

Re: PQ design (more numbers)
(from Grand Opening of the House of Pi )

Regarding largest consecutive diameters:
((2/sqrt(Pi))^2)/2 = 0.63661977236758134307553505349006..
(2/sqrt(Pi))/2 = 0.56418958354775628694807945156077..
.5

((2/sqrt(Pi))^2)/2 / (2/sqrt(Pi))/2 = 2/sqrt(Pi)
(2/sqrt(Pi))/2 / .5 = 2/sqrt(Pi)
= 1.1283791670955125738961589031215..

Makes a good T-Shirt design!
"In 2020, squaring the circle
is easier than avoiding Covid-19"

Rod

[Amigoo]

Re: Points of S(2) design

Sqrt(2) celebration at the House of Pi
on Saturdays and Sundays when '2'
is the lowest digit of the day.

Rod ... ...

[Amigoo]

Re: Points of S(2) design

Sqrt(2) celebration at the House of Pi

Celebration Day Door Code*
(must be correct on first entry)
347, 012, 256, 033, 123, 215,
082, 327, 103, 053, 194, 235

* listed in random order

Rod

[Amigoo]

Re: Leftover Pi design*
aka “Pythagorean Quadrature”

More rounded geometry (like 3.14159 ; - )

* updated in: http://aitnaru.org/images/Yin_Yang_Pi.pdf

Rod ... ...

[Amigoo]

Re: Points of S(2) design

Sqrt(2) celebration at the House of Pi

347, 012, 256, 033, 123, 215,
082, 327, 103, 053, 194, 235

At the House of Pi,
enlightenment is a journey -
not a destination.

Rod

[Amigoo]

Re: Points of S(2) design

Sqrt(2) celebration at the House of Pi

Geometer's secret ...
The golden "open arms" design indicates that the door code
may be used all month (on those Saturdays and Sundays),
promoting replication of the good kind (of the spirit).

Rod ... ...

[Amigoo]

Re: Super Points of iQ design

At the House of Pi,
enlightenment is a journey -
not a destination.

Rod

[Amigoo]

Re: Super Points of iQ design
('iQ' = "impossible" Quadrature)

Experience to date insists that Quadrature will be proven
only by geometric balance of circle-squaring objects.

Rod ... ...

[Amigoo]

Re: Super Points of iQ II design*
('iQ' = "impossible" Quadrature)

Who knew
Lefthanders prefer the newer model!

The two "Pi Built" designs are good for a pop quiz:
What's the difference Are you sure

* added to: http://aitnaru.org/images/Yin_Yang_Pi.pdf

Rod