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Approximating Mathematical Constants using Minecraft

2024/11/27 by Molly Lynch, Michael Weselcouch, Lynch, Molly +1 · 5 voices
Computer Science · #Teaching and Learning Programming #math.HO

paper · pdf · doi:10.48550/arxiv.2411.18464

openalex publication_date 2024/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we will use Minecraft to experimentally approximate the values of four different mathematical constants. The mathematical constants that we will approximate are √(2), π, Euler's number e, and Apéry's constant ζ(3). We will begin each section with a brief history of the number being approximated and describe where it appears in mathematics. We then explain how we used Minecraft mechanics to approximate the constant. At the end of each section, we provide some ideas for how to apply our techniques to the approximation of other mathematical constants in Minecraft or elsewhere. This article is a proof of concept that Minecraft can be used in higher education. We should note that the goal of this article is not to have the most accurate approximations possible, the goal is to inspire people to have fun while learning about various mathematical topics. We hope you learn something new in this article and feel inspired to try some of these techniques on your own.

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