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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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