Happy Phi Day! Phi is pronounced "Fi" and this year it falls on Friday, now say it out loud really fast "Phi Day! Friday!"
0.61803398875... times would be "Phi Day!"
or
1.61803398875... times would be "Phi Day! Friday! Phi Day!"
Both 0.61803398875... & 1.61803398875... are considered Phi, sometime a lower case "phi" is used to denote 0.61803398875...
You can use your calculator to determine Phi by entering √5 * .5 ± .5
Fi Five, Fi Five, Fi Five, try saying that real fast.
August 8th or 8/8 (or ∞|∞) represents the infinite dual nature of the Phi ratio.
The Phi ratio shows up in everything that grows. It's like the cosmic code for replication.
The ratio between adjacent numbers in the fibonacci series 1,1,2,3,5,8,13,21,34,55,89,144,...(the 12th place is also known as a gross (12x12), there is that dodeca factoring in again) approaches the Phi ratio, it's getting real close with the 11th and 12th numbers 89/144=0.61805... or 144/89=1.61797... close enough for most engineering tolerances.
What's interesting is how 5 and 12 factor into Phi because there is a Platonic Solid (the Dodecahedron) which has 12 5-sided (pentagon) faces and Phi plays an integral role in its construction. Where a side equals 1, the diagonal between corners on a face equal Phi (1.618...), connect all corners and you get a pentagram and the long side lengths of the triangle tips of the pentagram are equal to phi (0.618...).
Did you know that 1÷Phi = phi and 1÷phi = Phi? and Phi÷phi = Phi+1 (or 2.618...) and phi÷Phi = Phi - 2phi (or 0.3819...) which so happens to be the length of the short sides of the pentagram tips mentioned above, which end up making a smaller pentagon in the center of the original pentagon face.
There are a ton more relationships, but it's 4 am and I should get to bed.
