## 2016 - 19th Annual Steven Galovich Memorial Student Symposium

#### Presentation Title

Tupper's Self-referential Formula

#### Location

Library Basement

#### Abstract

Tupper's self-referential formula is a mathematical formula that plots itself, i.e., when you create a graph of the formula, the graph spells out the formula. In fact, the formula can do much more. It can graph anything that fits inside a rectangular block with dimensions 105-by-17. We created a computer program that tells the user where the formula will plot the sentence of their choice. For example, suppose the user wants to know where the formula plots “This is amazing!”. The program will output an integer value k such that “This is amazing” is plotted at the values 0<= x <= 105 and k <= y <= k+17.

#### Presentation Type

Individual Presentation

#### Start Date

4-5-2016 10:30 AM

#### End Date

4-5-2016 11:45 AM

#### Panel

The universal formula, transcendental numbers and the sorting hat

#### Panel Moderator

Kent Grote

#### Field of Study for Presentation

Computer Science, Mathematics

Tupper's Self-referential Formula

Library Basement

Tupper's self-referential formula is a mathematical formula that plots itself, i.e., when you create a graph of the formula, the graph spells out the formula. In fact, the formula can do much more. It can graph anything that fits inside a rectangular block with dimensions 105-by-17. We created a computer program that tells the user where the formula will plot the sentence of their choice. For example, suppose the user wants to know where the formula plots “This is amazing!”. The program will output an integer value k such that “This is amazing” is plotted at the values 0<= x <= 105 and k <= y <= k+17.