Coskey, Samuel. Ellish, Paul. Wood, Japheth (2020). Touching Infinity. In S. Bowen (Ed.), Math Circle Activity Database. American Institute of Mathematics.

Touching Infinity: Hyperbinary Numbers and Fraction Trees

Math Circles:
Are there more fractions than counting numbers? Surprisingly, an investigation into binary notation can help us answer this question! This session explores the binary number system. Participants will investigate Hyperbinary numbers, create a Fraction Tree, and discover connections between them.

Activity Guide

This guide looks at the activity in detail and goes into the underlying math.