Re: Tri Phi Pi design (for the record, expanded)

Wiggly Numbers of The Right Triangle(s)

Given: SoCS = Side of Circle's Square,

3.1415926535897932384626433832795.. Pi

1.7724538509055160272981674833411.. sqrt(Pi)

1.9130583802711007947403078280203.. iPhi, long-side-to-short-side

1.1283791670955125738961589031215.. 2(sqrt(1/Pi)), hypotenuse-to-long-side

Calculate short side a1 of largest right triangle (1 of 3):

Diameter = 2.256758334191025147792317806243.. 4(sqrt(1/Pi)),

side c1, hypotenuse of right triangle

SoCS = 2.0, side b1, long side of right triangle

From the Pythagorean Theorem (a^2 + b^2 = c^2):

short side a1 = 1.0454464017541266302735942239052..

iPhi1 = b1/a1 = 1.9130583802711007947403078280203..

Calculate short side a2 of next largest right triangle (2 of 3):

Diameter = 1.27323954473516268615107010698.. 2(sqrt(1/Pi))^2,

side c2, hypotenuse of right triangle

SoCS = 1.1283791670955125738961589031215.. 2(sqrt(1/Pi)),

side b2, long side of right triangle

From the Pythagorean Theorem (a^2 + b^2 = c^2):

short side a2 = 0.58982997002716101129132484047986..

iPhi2 = b2/a2 = 1.9130583802711007947403078280203..

Calculate short side a3 of smallest right triangle (3 of 3):

Diameter = 0.71834848850066624675632793451077.. 4(sqrt(1/Pi)) / Pi

side c3, hypotenuse of right triangle

SoCS = 0.63661977236758134307553505349006.. 2/Pi

side b3, long side of right triangle

From the Pythagorean Theorem (a^2 + b^2 = c^2):

short side a3 = 0.33277592515360954394708556243436..

iPhi3 = b3/a3 = 1.9130583802711007947403078280203..

Calculate line length ratio of short side a1 to a2:

short side a1 / short side a2

= 1.0454464017541266302735942239052..

/ 0.58982997002716101129132484047986..

= 1.7724538509055160272981674833411.. sqrt(Pi)

Calculate line length ratio of short side a2 to a3:

short side a2 / short side a3

= 0.58982997002716101129132484047986..

/ 0.33277592515360954394708556243436..

= 1.7724538509055160272981674833411.. sqrt(Pi)

About the resonance of the two portals (re: SoCS) ...

2.0 / 1.1283791670955125738961589031215.. 2(sqrt(1/Pi))

= 1.7724538509055160272981674833411.. sqrt(Pi)

Rod

(Tri Phi Pi overload ^2)