Page 164 of 182
Re: Paradise Trinity Day
Posted: Thu Mar 05, 2020 11:11 am
by 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 ...
...
Re: Paradise Trinity Day
Posted: Thu Mar 05, 2020 11:52 am
by 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)
Re: Paradise Trinity Day
Posted: Thu Mar 05, 2020 4:28 pm
by 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
Re: Paradise Trinity Day
Posted: Sat Mar 07, 2020 12:48 am
by Amigoo
Re: Q4 design
Stage four of Quadraturial metamorphosis
Rod ...
...
Re: Paradise Trinity Day
Posted: Sat Mar 07, 2020 11:10 pm
by 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
Re: Paradise Trinity Day
Posted: Sun Mar 08, 2020 12:11 pm
by 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 ...
...
Re: Paradise Trinity Day
Posted: Sun Mar 08, 2020 5:27 pm
by 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
Re: Paradise Trinity Day
Posted: Mon Mar 09, 2020 4:33 pm
by Amigoo
Re: Q4Too design
"Lines of interest"
Some other lines for Pi Day 2020.
Rod ...
...
Re: Paradise Trinity Day
Posted: Wed Mar 11, 2020 2:22 pm
by Amigoo
Re: Leftover Pi design
(recycled design w/ "Pi Fork")
Save leftovers from Pi Day for Quadraturial munchin' later.
Rod
Re: Paradise Trinity Day
Posted: Thu Mar 12, 2020 2:22 pm
by 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 ...
...
Re: Paradise Trinity Day
Posted: Fri Mar 13, 2020 1:22 pm
by 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
Re: Paradise Trinity Day
Posted: Sat Mar 14, 2020 10:13 pm
by 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 ...
...
Re: Paradise Trinity Day
Posted: Sun Mar 15, 2020 3:44 am
by 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
Re: Paradise Trinity Day
Posted: Tue Mar 17, 2020 10:24 am
by 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 ...
...
Re: Paradise Trinity Day
Posted: Wed Mar 18, 2020 10:04 am
by Amigoo
Re: Leftover Pi design
aka “Pythagorean Quadrature”
Few people know that tea is served at the House of Pi.
Rod ...
... ("Breaker! Breaker!")
Re: Paradise Trinity Day
Posted: Thu Mar 19, 2020 3:14 am
by 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
Re: Paradise Trinity Day
Posted: Thu Mar 19, 2020 1:29 pm
by 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
Re: Paradise Trinity Day
Posted: Sat Mar 21, 2020 2:57 am
by 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 ...
...
Re: Paradise Trinity Day
Posted: Sat Mar 21, 2020 3:33 am
by 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
Re: Paradise Trinity Day
Posted: Sat Mar 21, 2020 7:23 pm
by 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 ...
...
Re: Paradise Trinity Day
Posted: Sun Mar 22, 2020 2:22 am
by 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
Re: Paradise Trinity Day
Posted: Mon Mar 23, 2020 10:46 am
by 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 ...
...
Re: Paradise Trinity Day
Posted: Tue Mar 24, 2020 4:28 am
by Amigoo
Re: Super Points of iQ design
At the House of Pi,
enlightenment is a journey -
not a destination.
Rod
Re: Paradise Trinity Day
Posted: Tue Mar 24, 2020 7:07 pm
by 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 ...
...
Re: Paradise Trinity Day
Posted: Thu Mar 26, 2020 3:39 pm
by 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