BARS::Imperial Dam on the Colorodo River in California

This road sign is on the northbound road to the Colorado River's Imperial Dam in California.

The road sign says...

   +--------------------+
   | Cozy Cove      1/2 |
   | Senator Wash     1 |
   | Squaw Lake       2 |
   ----------------------
   | Beehive Mesa   1/2 |
   | Dog Patch      1/2 |
   | Coyote Ridge     1 |
   | North Shore      6 |
   | Ferguson Lake   10 |
   +--------------------+
   the numbers are:  (1/2)  1  2  (1/2)  (1/2)  1  6  10

   the math is:  6 * (1/2) * (1 + 1) = 10 * (1/2) + 2 * (1/2)
   
   observe...
      left side: 
         6 * (1/2) = 6/2 = 3
         (1 + 1) = 2
         3 * 2 = 6

      right side:
         10 * (1/2) = 10/2 = 5
         2 * (1/2) = 2/2 = 1
         5 + 1 = 6

   more math:  6 / (1/2) * (1 + 1) = 10 / (1/2) + 2 / (1/2)

   observe...
      left side:
         6 / (1/2) = 6 * 2 = 12
         (1 + 1) = 2
         12 * 2 = 24

      right side:
         10 / (1/2) = 10 * 2 = 20
         2 / (1/2) = 2 * 2 = 4
         20 + 4 = 24

   more math:  (1 / ((1/2) * (1/2) * (1/2))) * (1 / 2) + 6 = 10

   observe...
      (1/2) * (1/2) * (1/2) = (1/8)
      1 / (1/8) = 8
      8 * (1 / 2) = 8 / 2 = 4
      4 + 6 = 10

   [solve for 'n]  6 * n * (1 + 1) = 10 * n + 2 * n
Update::2009.09.04

This BARS was selected to be one of the BARS of the Week for week #3 of the fall 2009 semester.

   the numbers are:  (1/2)  1  2  (1/2)  (1/2)  1  6  10

   rsPhiEval:  (1/2) + sqrt((1 - (1/2) - (1/2) + 1 - 6 + 10)) / 2 = Phi
   * Phi is the golden ratio and it approximates 1.61803399

   rsStateEval:  (1/2) / (1/2) / (1/2) + 6 * 10 / 2 - 1 / 1 = 31
   * California was the 31st state admitted to the Union.

   rsAgeEval:  (1/2) / (1/2) / (1/2) / 2 + (6 - 1) * 10 + 1 = 52
   * MathBabbler was 52 years young when he found this equation.

   rsAgeEval:  (6 - 1) * 10 * 1 * ((1/2) / (1/2) / (1/2) / 2) = 50
   * RoadHacker was 50 years young when he found this road sign.

   rsAgeEval:  (1/2) / (1/2) / (1/2) + (6 / 2 + 1) * 10 * 1 = 42
   * 42 is the "Answer to Life, the Universe, and Everything"

   rsPiEval:  ((1/2) / (1/2) / (1/2) * 10 + 1 * 2) / (6 + 1) = Pi
   * 22/7 approximates Pi (3.14) rounded to nearest hundredth

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 17 December 2007

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This work is licensed under a Creative Commons Attribution 3.0 United States License.