Generating Rational Models (Poster Abstract)

My talk is on original research using past voting results of individual states for the past eleven Presidential elections to get a states power by using regression and the Shapley-Shubik Power Index. Presidential campaign resource allocation is determined after the states power has been calculated. The poster will discuss how to construct the Buckyball from PHIZZ units and show how the Buckyball can be properly three-colored using Hamiltonian circuits. Also, it will discuss how using Euler's formula you can prove that all Buckyballs contain 12 pentagons and how this relates to the number of pieces needed to construct the spheres with PHIZZ units. The poster is meant to cover the topic of God's algorithm on the edges and corners of the Rubik's Cube. Using proofs for the size of the Rubik's Cube group, along with computer programs that make use of these proofs, the poster will show/ describe/ explain God's Algorithm for the edges alone (and the corners alone) of the Rubik's Cube. The poster will demonstrate the use of generating functions to determine mathematical identities within the Fibonacci Sequence. This talk will introduce elliptic curves and magic squares and the connection between them. It will answer the question: Do points of order dividing n on elliptic curves form a magic square? Algorithms for forming these magic squares will be introduced and discussed. On a violin string, harmonics only occur at rational points; however, the probability of hitting a rational point on [0,1] is 0. In light of this, one wonders how a harmonic can be generated so easily on a real violin. We discuss this point in the context of the wave equation. (**) Biquadratic Indentity of the Cevian line subalgebra We define the Cevian Algebra on the interior points of a triangle. We will present some properties of Cevian Algebra including the Biquadratic identity. When Fibonacci numbers are represented in binary form many interesting patterns arise. In this talk we will discuss and explain some of these patterns. We hypothesize that self-avoiding walk problems serve as a sufficient model for polymers. In this study, using square lattices to depict certain subclasses of self-avoiding walks we claim to get adequate