Fibonacci Gaps

Madeline Ceccia and Dr. Martin Bonsangue, Department of Mathematics, California State University, Fullerton, 800 N State College Blvd, Fullerton, CA 92831

The Fibonacci number sequence has been a source of fascination for both mathematicians and lay persons for hundreds of years. In this paper we look not at the Fibonacci numbers, but the numerical “negative space,” or gaps, between them. These Fibonacci Gaps are based on the number of natural numbers between two successive Fibonacci numbers. We prove the relationship between the Fibonacci sequence and their related Fibonacci Gaps, and explore other mathematical relationships found in these gaps.

Additional Abstract Information

Presenter: Madeline Ceccia

Institution: California State University - Fullerton

Type: Poster

Subject: Mathematics

Status: Approved

Time and Location

Session: Poster 8
Date/Time: Tue 5:00pm-6:00pm
Session Number: 5564