# Wise Women in Fibonacci Numbers

## Location

College of Science and Mathematics (COSM)

## Session Format

Poster Presentation

## Abstract

Wise Women in Hats refers to three women who each wear a hat with a natural number displayed on it, visible to the other women, but not to herself. The women know that one of the numbers is the sum of the other two. The women take turns saying whether they know their number. Each woman’s goal is to be the first woman to declare her number based on the numbers and the responses of the other women. We form conjectures on which round specified triples would be declarable by which woman. Furthermore, we examine triples composed of consecutive Fibonacci numbers as well as triples containing the number one, and derive non-recursive formulae to determine the round in which they are declarable.

## Presentation Type and Release Option

Presentation (Open Access)

## Share

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Wise Women in Fibonacci Numbers

College of Science and Mathematics (COSM)

Wise Women in Hats refers to three women who each wear a hat with a natural number displayed on it, visible to the other women, but not to herself. The women know that one of the numbers is the sum of the other two. The women take turns saying whether they know their number. Each woman’s goal is to be the first woman to declare her number based on the numbers and the responses of the other women. We form conjectures on which round specified triples would be declarable by which woman. Furthermore, we examine triples composed of consecutive Fibonacci numbers as well as triples containing the number one, and derive non-recursive formulae to determine the round in which they are declarable.