## 2015 - 18th Annual Steven Galovich Memorial Student Symposium

#### Presentation Title

What's so rational about the alphabet?

#### Location

Skybox

#### Abstract

In this presentation, we will demonstrate how to construct what is known in mathematics as a “random walk” from the digits of any given number. We use base 4 to convert each digit in the given number into 0, 1, 2, or 3, and then create the random walk using pre-defined “steps” corresponding to each digit: the digit 0 represents a step to the right, the digit 1 represents a step up, the digit 2 represents a step to the left, and the digit 3 represents a step down. We will illustrate how we created a computer program that takes a word as input and it outputs a rational number whose random walk spells out the word.

#### Presentation Type

Group Talk

#### Start Date

4-7-2015 1:00 PM

#### End Date

4-7-2015 2:15 PM

#### Panel

Quantitative Methods: Walks, Collisions, and More

#### Panel Moderator

Stewart Foley

#### Field of Study for Presentation

Computer Science, Mathematics

What's so rational about the alphabet?

Skybox

In this presentation, we will demonstrate how to construct what is known in mathematics as a “random walk” from the digits of any given number. We use base 4 to convert each digit in the given number into 0, 1, 2, or 3, and then create the random walk using pre-defined “steps” corresponding to each digit: the digit 0 represents a step to the right, the digit 1 represents a step up, the digit 2 represents a step to the left, and the digit 3 represents a step down. We will illustrate how we created a computer program that takes a word as input and it outputs a rational number whose random walk spells out the word.