## Many Worlds Puzzle #3, Solutions

October 22, 2014 by Matthew Rave

As promised, the solutions…

1. 681472 [Um, Didn’t we answer this one earlier?]

2. 3927.27272… seconds **This represents the amount of time it takes the minute hand of a clock to lap the hour hand. For example, the hands coincide at midnight; they next coincide 3927.27272 seconds later, or at about 1:05:27 AM.**

3. 23.14069… **This is just e^π.**

4. 2.1656 x 10^185 **This is how many cubic planck lengths fit in the observable universe…**basically, if our universe were a 3D computer, this is how many pixels you’d need.

5. 1.03 light year/year^2 **This is the acceleration due to gravity g, in non-standard units.** It has the following interpretation: if you ignored relativity and accelerated at a rate of 1 g (reasonable for a starship), after a year you’d have reached the speed of light.

6. 133956 **This is the number of possible combinations of two birthdays, since 133956 = 366^2.** If everyone on Earth had a significant other, there would be over 26,000 couples with the *exact same two birthdays* as you and your other.

7. About 19.5 million people **The number of people on Earth who share your birthday.**

8. 0.739085… **This is called the “Dottie number”…an irrational number that solves the equation cos x = x.**

9. 1.72048 m^2 **The area of a pentagon with sides of 1 m.**

10. 0.004295 % **This is what percent of Earth’s history homo sapiens has been around.**

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on October 23, 2014 at 11:50 AM |David MartinoI shouldn’t have looked at the answers. I think it was within my ability to get #6. Number 7 is subjective, as “about 19.5 million people” is also the estimated population for Florida. OK, here was my answer to #2, which I’m sure is riddled with math errors: An arc second of latitude corresponds to approximately 101.27 feet. 3927.27272 x 101.27 = 397714.908354 feet = 397714.908354 / 5280 = 75.324.. miles. What is 75 miles away? Heaven, of course, according to the song from The Best Little Whorehouse in Texas. So that’s my answer to #2.

on October 24, 2014 at 2:27 PM |elkementOK – no I know why I had no idea 🙂

on November 7, 2016 at 4:06 PM |Daniel He hetiandingFor number 7, what if you were born on February 29th?

on November 8, 2016 at 8:02 AMMatthew RaveI suppose just divide my estimate by 4, so maybe 4.9 million.

on November 8, 2016 at 11:28 AMDaniel He hetiandingBut then, it’s is not every 4th year that is a leap year. The year number has to be divisible by 4, but not 100, unless it is divisible by 400.

on November 8, 2016 at 12:21 PMMatthew RaveWell, the population is just an estimate anyway, so that distinction probably falls within the margin of error.