Wednesday, November 29, 2006

How to Calculate Pi by Throwing Frozen Hot Dogs
Throwing a pie in someone's face is good. Throwing food at pi is better. Believe it or not, of all the countless ways to approximate the most prolific irrational number in the universe, there are none quite as interesting or as surprisingly satisfying as throwing perfectly good food around your kitchen. In fewer steps than it takes to circumscribe your house in a circle of baguettes, you, too, can easily add a slice of pi into your dinner menu tonight. The best part is...it really works!
Steps
Select your food item to throw. There are a couple of qualifications. First, it must be long, thin, and straight, like a frozen hot dog, for example. There are lots of other items that fit this criterion including Otter Pops, celery sticks, and churros. (If you simply can't come to grips with throwing perfectly good food, see the Tips section for some additional ideas.) Second, it must be a reasonably stiff item. Third, it should be somewhere between six and eighteen inches long. The experiment can be performed otherwise, but read on, and you will see why this size is optimal.
Select the spot from where you will throw your mathematical cuisine. You will probably need about 6-10 feet in front of you as you will be throwing straight ahead.
Clear the area. The place at which you are throwing should be devoid of objects that your food item could possibly run in to. So, if you are throwing in your kitchen, consider moving the table into another room or at least throwing in such a way that your food won't hit the table during its flight.
Measure the length of your projectile (i.e. your frozen hot dogs). A tape measure should do the trick. Be as accurate as you can, even down to the millimeter, for best results.
Lay down masking tape in parallel strips across the floor as far apart as your projectile is long. The strips should be perpendicular to the direction you will be throwing (see picture below). Do about 6-10 strips if your item is 6-18 inches long; fewer, if longer; more, if shorter.
The throwing set-upGet a piece of paper and across the top make a column for “Tosses” and another column for "Crosses." The "Tosses" column is to keep track of how many times you throw your food item. The "Crosses" column is to keep track of how many times your item, once it lands and stops moving, is laying across one of the lines.
Now, get into position, and THROW YOUR FOOD! Throw just one item at a time. Once it is at rest, observe whether or not it is crossing one of the lines. If it is, put a tick under "Crosses" and a tick under "Tosses." If it isn't, just put a tick under "Tosses." Repeat this as many times as you like. You should start seeing some interesting results by around 100 to 200 throws (it doesn't take as long as it sounds, especially if you use a pack of 10 frozen hot dogs so you're not out retrieving the one hot dog after every throw).
Once you are done throwing your food, multiply the number of tosses by two and divide by the number of crosses. For example, if I threw 500 times, and it crossed 320 times, I would calculate 500 x 2 / 320. And, as if a miracle has occurred, you will have an approximation for pi! Now, don't you feel less stressed?

No comments: