Pi Kappa Phi Contains Two Irrational Math Constants

TempeHiker found Pi and Phi at the 2007 Parada del Sol parade in Scottsdale.

Pi (π) is the 16th letter of the Greek alphabet and it has the Greek numerical value of 80.

Kappa (K) is the 10th letter of the Greek alphabet and it has the Greek numerical value of 20.

Phi (φ) is the 21st letter of the Greek alphabet and it has the Greek numerical value of 500.

Pi Kappa Phi in symbols: πkφ

In math world, Pi and Phi are irrational constants having the values 3.1416... and 1.618..., respectively. Phi is called the "golden ratio." Kappa is not a number in math world.

Pi and Phi can be crudely approximated as follows.

   Pi  = 3.14159265...
   Phi = 1.61803399...

   Pi = 22/7 = 3.14285714   or   666/212 = 3.14150943

   Phi = (1 + sqrt(5))/2 = 1.61803399  or  610/377 = 1.61803713

A Phi related sequence...

   1/1  2/1  3/2  5/3  8/5  13/8  21/13  34/21  55/34  
   89/55  144/89  233/144  377/233  610/377

   1/1     = 1.0
   2/1     = 2.0
   5/3     = 1.66666667
   8/5     = 1.6
   13/8    = 1.625
   21/13   = 1.61538461
   34/21   = 1.61904761
   55/34   = 1.61764705
   89/55   = 1.61818181
   144/89  = 1.61797752
   233/144 = 1.61805555
   377/233 = 1.61802575
   610/377 = 1.61803713
Exercises
  1. Using Greek numerical values, evaluate: Pi + K + Phi = _______.

  2. Using the mathematical constants: Pi + Phi = ______________. [round answer to the nearest millionth]

  3. Find the next fraction in the aforementioned "Phi related sequence."

More... About Pi Kappa Phi

The Wikipedia says: "Pi Kappa Phi is a national social fraternity that was founded in the spirit of 'nu phi,' meaning non-fraternity, in 1904 in Charleston, South Carolina."


Creator: Gerald D. Thurman [gthurman@gmail.com]
Created: 26 February 2007

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