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Physical Sciences and Mathematics Commons™

Open Access. Powered by Scholars. Published by Universities.®

Rhode Island College

2014

Mathematics

Articles 1 - 3 of 3

Full-Text Articles in Physical Sciences and Mathematics

The Mathematics Of The Card Game Set, Paola Y. Reyes May 2014

The Mathematics Of The Card Game Set, Paola Y. Reyes

Honors Projects

SET is a card game of visual perception. The goal is to be the first to see a SET from the 12 cards laid face up on the table. Each card has four attributes, which can vary as follows: 1. Shape: oval, squiggle, or diamond 2. Color: red, green, or blue 3. Number: the number of copies of each symbol can be 1, 2, or 3 4. Filling: solid, unfilled, stripped Each card has a unique combination, for a total of 34 = 81 different cards in a deck. A SET consist of three cards for which each of the …

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Graph-Ene, James E. Torres Jan 2014

Graph-Ene, James E. Torres

Honors Projects

GRAPH-ENE is a rich internet application for building and manipulating undirected, simple graphs. It is intended for use as a classroom teaching aid, plus as a tool for students to interactively manipulate graphs for assignments. Being web based, it is portable—it can run anywhere a browser is available. Since it is interactive, it provides problem-solving capabilities that are not available using pencil and paper.

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Geodesic Circulant Graphs Embedded On The Flat Torus, Cameron Richer Jan 2014

Geodesic Circulant Graphs Embedded On The Flat Torus, Cameron Richer

Honors Projects

In this paper, we will investigate graphs that arise from the intersections of geodesics embedded on the at torus. For any size collection of geodesics, the number of unique intersections is countable via their slopes. As well, any embedding of two geodesics gives rise to a circulant graph for which its chromatic number can be calculated from their respective slopes. Furthermore, the previously described circulant graphs embedded on the at torus are self-dual. This provides an effective face coloring of any graph arising from the embedding of two slopes on the torus.

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