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Bolognese, Chris. Shah, Raj. (2020). Perfect Rulers. In S. Bowen (Ed.), Math Circle Activity Database. American Institute of Mathematics. https://mathcircles.org/activity/perfect-rulers

Measuring Up: “Perfect” Rulers

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Math Circles:
Is it possible to measure all possible integer lengths on a ruler without marking every integer on that ruler? This is an engaging and challenging problem for all. Beautiful mathematics can be revealed while delving deeper into this seemingly easy question.

Activity Guide

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

Digital App

A digital tool to allow the user to choose a length and the location of marks, created by Columbus Math Circle members.

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