BARS::Pi and Phi 7th St. Exit on I-17 North in Phoenix, Arizona

This road sign was found at the 7th St. Exit of northbound I-17 in Phoenix, Arizona.

The road sign says...

   +--------------------+
   | 7th St         1/4 |
   | Central Ave        |
   | 7th Ave      1 1/4 |
   | 19th Ave     2 1/4 |
   +--------------------+
   the numbers are:  7  (1/4)  7  (1 1/4)  19  (2 1/4)

   the Phi math is:  
      (sqrt(19 - 7 - 7) + ((2 1/4) - (1 1/4))) * sqrt(1/4) = Phi

   observe...
      sqrt(19 - 7 - 7) = sqrt(5)
      2 1/4 - 1 1/4 = 1
      sqrt(1/4) = 1/2
      (sqrt(5) + 1) * 1/2 = Phi = 1.61803399+

   the Pi math is:  
      (19 + 7 - (sqrt(1/4) + (1 1/4) + (2 1/4))) / 7 = Pi (3.14)

   observe...
      sqrt(1/4) = 1/2
      1/2 + 1 1/4 + 2 1/4 = 4
      19 + 7 - 4 = 22
      22/7 approximates Pi truncated to 2 decimal digits
Update::2008.05.22

A similar, yet different, road sign was seen on westbound I-10 in Phoenix.

BARS::7th St., 7th Ave., 19th Ave. on I-10 West in Phoenix, Arizona

The following road sign/highway evaluation was discovered while updating this BARS.

   again, the numbers are:  7  (1/4)  7  (1 1/4)  19  (2 1/4)

   rsHwyEval:  19 + 7 - 7 - sqrt((2 1/4) + (1 1/4) + sqrt(1/4)) = 17
   * the road sign is on I-17

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 29 April 2007
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This work is licensed under a Creative Commons Attribution 3.0 United States License.