Justin Horn

Hello, my name is Justin Horn. I am a statistics major.

In my early life, I was very interested in mathematics to the point where I learned all of the square numbers from one to one thousand at age four, according to my parents. There was a broad spectrum of mathematical concepts that I was interested in due to the vast scope of the genre and lots of different yet somewhat related topics. A lot of it connected in my mind quite well and made good connections. My first experience with mathematics was at age four. I was trying to figure out which numbers were divisible by others and noticing that some weren't! To keep me busy, my father gave me a deck of cards, including the 2 jokers, and told me to put them in stacks of four. I told him there were 54 cards so this was impossible and I was aggravated that he would ask me to do that. I then found out that those were known as prime numbers of which there are an infinite amount. The subject of prime and composite numbers really interested me.

In elementary school, I read lots of math books, such as Go Figure! which had really interesting and funny concepts, such as the different counting systems like Chinese Script and Egyptian Script. There was a lot of deep theory in that book as well which I found engaging for my brain. I was homeschooled and took classes such as geometry, trigonometry, algebra, and statistics. My mother homeschooled me, but since my father is a college math professor, he homeschooled me in all of my math classes.

I was inspired by my math teachers who were very knowledgeable about the math subject, and knew many different ways to solve the same problems with a different point of view in some cases. This is a good idea because some methods are not as effective as others for certain people and vice versa. My biggest personal influence is my dad, as he instilled a love of math in me. One of my favorite areas of math is the geometry, where shapes are used in all sorts of ways that have intricate details, such as the number of degrees each polygon has and how they connect with each other and other various ways they can be used.

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I like to read problem solving books. One of my favorite problems related to math is the Monty Hall Problem, which is where there is a car behind three doors and a goat behind two others, and picking one at random gives you a one third chance of getting the car, but after the host reveals where one of the goats are and asks you if you want to switch, switching gives you a two thirds chance of getting the car. This problem is famous because despite its simplicity, many cannot understand the reason. A good simple explanation is that there is more information about the car after the host reveals one of the goats than at the beginning.

In college, I decided to focus on mathematics and became a statistics major. I have taken two statistics and two calculus classes. I would like to work as a statistician in the future. Upon completing my bachelor's degree, I may pursue a graduate degree and teach statistics as well. I have done alright in many of my studies, but I feel that there is much room for improvement. I just have to keep studying and stay in school. I have enjoyed this class and my other math classes and feel I have learned a great deal.

A hobby that I enjoy is playing chess. I play every day, throughout the day and enjoy it very much. As a child and teen, I belonged to chess clubs and played at the library. I won around 10 chess tournaments and my pictures was in our local paper when I was thirteen year old. This is an area of my life where I use math and problem-solving skills.

There are a lot of opportunities for jobs in statistics and mathematics, considering I am not done with school yet. Only the future can tell.

The piece of mathematics that I will review is Koch's snowflake, because I find it interesting due to it having an infinite perimeter but a finite area. It is made from an equilateral triangle, and then on three corners of it are three more smaller equilateral triangles. The reason for its finite area is because for each triangle there is only 1/5 extra size for each triangle, but the perimeter increases exponentially.

A link to my paper can be found here. Pascal's Triangle Paper