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Studying Wythoff and Zometool Constructions Using Maple

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Maple in Mathematics Education and Research (MC 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1125))

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Abstract

We describe a Maple package that serves at least four purposes. First, one can use it to compute whether or not a given polyhedral structure is Zometool constructible. Second, one can use it to manipulate Zometool objects, for example to determine how to best build a given structure. Third, the package allows for an easy computation of the polytopes obtained by the kaleiodoscopic construction called the Wythoff construction. This feature provides a source of multiple examples. Fourth, the package allows the projection on Coxeter planes.

BC supported by NSERC Discovery Grant. SW supported by NSERC USRA.

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Authors and Affiliations

  1. Department of Pure Mathematics, University of Waterloo, 200 University Avenue West, Waterloo, ON, N2L 3G1, Canada

    Benoit Charbonneau & Spencer Whitehead

Authors
  1. Benoit Charbonneau
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  2. Spencer Whitehead
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Corresponding author

Correspondence to Benoit Charbonneau .

Editor information

Editors and Affiliations

  1. Maplesoft, Waterloo, ON, Canada

    Jürgen Gerhard

  2. Wilfrid Laurier University, Waterloo, ON, Canada

    Ilias Kotsireas

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Charbonneau, B., Whitehead, S. (2020). Studying Wythoff and Zometool Constructions Using Maple. In: Gerhard, J., Kotsireas, I. (eds) Maple in Mathematics Education and Research. MC 2019. Communications in Computer and Information Science, vol 1125. Springer, Cham. https://doi.org/10.1007/978-3-030-41258-6_5

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  • DOI: https://doi.org/10.1007/978-3-030-41258-6_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-41257-9

  • Online ISBN: 978-3-030-41258-6

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