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Mathematics > History and Overview

arXiv:2411.18464 (math)
[Submitted on 27 Nov 2024]

Title:Approximating Mathematical Constants using Minecraft

Authors:Molly Lynch, Michael Weselcouch
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using Minecraft, by Molly Lynch and 1 other authors
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    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 $\sqrt
    {2}, \pi$, Euler's number $e$, and Apery's constant $\zeta(3)$.
    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.

Comments: 15 pages. To appear in Mathematics Magazine
Subjects: History and Overview (math.HO)
Cite as:  arXiv:2411.18464 [math.HO]
          (or arXiv:2411.18464v1 [math.HO] for this version)
          https://doi.org/10.48550/arXiv.2411.18464
          Focus to learn more
          arXiv-issued DOI via DataCite

Submission history

From: Michael Weselcouch [view email]
[v1] Wed, 27 Nov 2024 15:56:21 UTC (4,367 KB)
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