Abstract
This article gives an algorithm that will build an apportionment diagram for any apportionment method when there are three states. We then provide several images that are produced by the algorithm and discuss what these images can reveal about the given apportionment method.
Acknowledgment
Thank you to Graham Chambers-Wall, who taught me how to create images using Python. Thank you also to an anonymous referee whose suggestions improved the article.
Additional information
Notes on contributors
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David McCune
David McCune ([email protected]) received his Ph.D. in algebra from the University of Nebraska-Lincoln in 2011. He is an Associate Professor at William Jewell College in Liberty, MO, where he has taught since 2012. These days he enjoys thinking about problems in mathematical political science, focusing on social choice theory and apportionment.