Volume X

Memory 
By Laura Miley 
Abstract:
We will be computing the expected length of a game of Memory under certain initial conditions. Additionally, we will do this for variations of one initial condition.

Toxic Trailer Park Flies and The Frogs That Eat Them 
By Jillian Theobald and Christopher Litvay 
Abstract:
We will study predator prey relationships using a computer program that solves differential equations applying the Runga-Kutta method, with an adaptable step size. In particular, we will examine a predator prey relationship where a certain amount of prey is toxic to the predators.

It's not Bouillabaisse; it's Fish Soup: A Look at an Incarnation of Tic Tac Toe 
By Annamarie Albright 
Abstract
We will find a winning, or non-losing strategy, for the game Fish Soup by showing that it is a representation of the game Tic Tac Toe.

Knowing Where To End Up 
By Andra Ivan and Astrid Delaney 
Abstract:
We will express the Golden Mean using Euclid's way of dividing a line segment of length one into two smaller segments with a particular relation between them. We will derive the Golden Mean as a continued fraction.

"Sim-sala-bim" the mathematical magical card trick 
By Adam Husing and Jesse Cyrus 
Abstract:
We present a card trick, which is based on numbers so mathematically this trick will never fail. We analyze the trick and explore underlining mathematical principles.

The Diamond in the Rough: Interesting Properties of the Calendar 
By Kendra Rand 
Abstract:
We show that if we form a 4x4 square out of the dates within a calendar, then take one date in each row and one in each column and find the sum of them, that sum will always be the same no matter what combination of numbers within the square that we choose. We then generalize this to show that it is true for any n x n square with similar properties.

 

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