Exotic number bases with application to combinatorics

Document Type

Presentation Abstract

Presentation Date

10-9-2023

Abstract

While it is well known that our traditional base 10 number system can be generalized to other bases such as binary or hexadecimal, such generalizations can be taken farther and be far more useful than many realize. For example, they can give new insights into Fibonacci numbers, solve problems from combinatorics, solve and generalize the game of Nim, compute digits of pi, and even create fractals.

In this talk we'll give a smattering of results we've happened across over the last couple of years as we've pursued one question: how far can you push the idea of a number base and still have the fundamental property where every number has exactly one representation?

Additional Details

October 9, 2023 at 3:00 p.m. Math 103

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