After watching the movie the Curious Case of Benjamin Button, I found myself intrigued by the character Brad Pitt played. I find it fascinating that Brad Pitt played Benjamin from start to finish, from old to young. Although I beleived this when I watched the movie, I was interested in finding out how they made Brad all these different ages. I came across the following TED talk session and I found myself connecting many theorems from my Euclidean Geometry class and my History of Mathematics class I am currently enrolled in.
Benjamin Button\’s Face
As I watched this video I thought I would just watch it for pure movie interest. As I continued it occured to me that the method used to form Benjamin’s face actually used a ton of mathematics, namely Geometry. In my Math 308 (History of Math) class, we are learning about many different mathematicians from over 3000 years ago. We have gone through some of the more known such as Euclid, Archimedes, and Aristotle, as well as some less know mathematicians. It is interesting to see how Math has developed over the years and where we started from. Before Archimedes we did not have pi, the constant needed to find the area of a circle. Before him, many mathematicians tried and tried to come up with a way to find the area of a circle using what they knew. They knew how to find the area of a square, rectangle, triangle or any polygon, but the circle seemed impossible. Eventually a mathematician named Eudoxus came along and was trying to solve the area of the cirle. He tried many things, but eventually came up with the idea that he could split the circle into many different triangles, squares, and polygons and add these areas up to get the area of the circle. This method was called the method of exhaustion. If anyone has taken Calculus before, this sounds familiar because this was the beginning idea that eventually developed Integrals.
Now, Im sure you are wondering what this has to do with Benjamin Button right? Well, if you watch the video you will see that the team that created Ben’s digital face, used a similar method to the method of exhaustion! The old technology they had could create an image made from about 100 polygons. This image was not very realistic and quite crude. As they experimented with many options, they found one where they coated Brad’s face with a special makeup, put him under special lights and the digital image of Brad’s face was now constructed by about 10,000 polygons. This image was much closer to reality. From this, the team made images of Brad’s face doing every action possible. Then, they made a mold of Brads face and created an “old version” of Brad, chiselling away and forming it so that the mold would still have Brad’s structure, just made older looking. Then, they imposed the digital Brad’s facial expressions onto the mold (diigitally) and more or less, they produced Benjamin!
Many people do not believe math is interesting or practical at all. These people need to open their eyes and realize math is everywhere! Whether it be in nature, at home, in your car, or in your favourite movie, math can be found as the source. Some people believe that math is not neccisary, at least not more than basic operations, but here, we can see its practicality. Moreover, I think this would be a great video to show a Calculus class. They could see the connections and hopefully become more and more interested in what math can do.