Document Type

Honors Project

First Advisor

Dr. Verne Leininger

Degree Award Date

12-2020

Keywords

dice, intransitive dice, nontransitive dice, recreational mathematics, intransitivity, probability

Disciplines

Mathematics

Abstract

Prior research has been conducted regarding the intransitivity of a set of dice when a single die from a set is rolled against another die from that set and when two of the same dice are rolled against a different pair of two of the same dice. This project examines and proves that an intransitive cycle exists in every set of at least five dice when two different dice are rolled against two other different dice.

Recommended Citation

Clary, Erika. "Proving Pairwise Intransitivity in Sets of Dice." Senior Honors Projects, Bridgewater College, 2020.

Force Open Access

1

Included in

Mathematics Commons

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