BARS::Phi HOV Exit 144 on Eastbound I-10 in Phoenix, Arizona

MathBabbler drove past the road sign for this BAB without taking a picture. On a return visit, while riding shotgun, he took a picture that ended up catching the bottom right-hand corner of the sign. On yet another return visit -- again while riding shotgun -- the partial picture currently being used in this BAB was obtained. RoadHacker is optimistic he will eventually get a good picture of the HOV Exit 144 road sign.

This blurred and partial road sign is for a HOV exit on eastbound I-10 in central Phoenix, Arizona.

[update::2007.11.04] RoadHacker got this Exit 144 picture while returning home from the DARPA Urban Challenge.

The road sign says...

   +----------+
   | Exit 144 |
   | 5th Ave  |
   | 3rd Ave  |
   | 1 Mile   |
   +----------+
   the numbers are:  144  5  3  1

   the math is:  sqrt(144) = 3 * (5 - 1)

   observe...
      Phi = 1.61803399
      sqrt(5) = 2.23606798
      sqrt(144) = 12
      12 / 3 = 4
      sqrt(4) = 2

   phi math:  (1 + sqrt(5)) / sqrt(sqrt(144) / 3) = Phi

   rsHwyEval:  sqrt(144) / 3 + 5 + 1 = 10
   * this highway sign is on I-10

   rs42Eval:  sqrt(144) * 3 + 5 + 1 = 42
   * the "Answer to Life, the Universe, and Everything"

   factorial math:  144 - 5! = (3 + 1)!

   [solve for 'n']  sqrt(144) = 3(5 - n)

   [solve for 'x']  (1 + sqrt(5)) / sqrt(sqrt(144) / x) = 1.61803399
Update::2013.10.26

I displayed this BARS during class and a student found the the following equation.

   5 + 3 + 1 = 1 + 4 + 4

The BARS function library includes a sum_digits(n) function; however, the domain of the sum_digits(n) is restricted to prime numbers only. As a result of this student's equationeering, the domain of sum_digits(n) has been modified to include numbers that have whole number roots.

   the numbers are:  144  5  3  1

   the math is:  5 + 3 + 1 = sum_digits(144)
   * sum_digits(n) = sum the digits of n
     domain:  n must either a prime number or have a whole number root

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 24 March 2007

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