### 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.

```   +----------+
| 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