Friday, August 8, 2014

Happy Phi Day Friday

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.

Sunday, August 3, 2014

Happy Phi Week! :D

Phi Week starts on the Solar Golden Ratio date where the proportion of numbers of days left in the solar year to the number of days that have passed is equal to the proportion of the days passed to the total number of days in a Solar year. The Solar year starts on the Winter Solstice (December 21st) which makes the Solar Golden Ratio date August 3rd.

Phi Week Ends on the Julian Golden Ratio date, as the Julian year starts on January 1st and the Golden ratio date is August 14th (day 226 of the year).

Unsophisticated Golden Rationalist like to use the Pi Day convention of just using numbers to mark their day (March 14 or 3.14) by denoting June 18th (6/18? How does that work again?) as their Phi Day. More dedicated Phiologist actually divide the year up into the Golden Ratio (365 x .618 = 225.57 days, which rounded up to 226 days. 226 x .618 = 139.67 or 140 so 226+140 = 366 days, the length of a Leap Year).

Phi Week falls squarely within the sign of Leo, which is ruled by our wonderful golden orb, the Sun, without which none of us would be here. Phi day is August 8th or 8/8 which represents the dual infinite proportion of the Golden Ratio (.618:1:1.618), as Phi week is 12 days long (August 3rd through August 14th), we just split the difference between the Solar and Julian Golden Ratio dates to arrive at 8/8.

May 20th is the 140th day of the year, but we already have a major holiday that time of year, there are no major holidays in August, so Phi Day fills this void.