The obtetrahedrille as a modular building block for 3D mathematical art

Tom Verhoeff, K. Verhoeff

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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Abstract

We explain how the obtetrahedrille can serve as a versatile building block for 3D structures. In particular, the obtetrahedrille can be used to construct triangular beams in the body-centered cubic lattice, and square beams in the simple cubic lattice. We present a language to describe structures composed from obtetrahedrilles. We show some sculptures that can be constructed from obtetrahedrilles. Finally, we discuss how to magnetize the obtetrahedrilles to allow simple experimentation.
Original languageEnglish
Title of host publicationProceedings of Bridges 2019
Subtitle of host publicationMathematics, Art, Music, Architecture, Education, Culture
EditorsSusan Goldstine, Douglas McKenna, Kristóf Fenyvesi
Place of PublicationPhoenix
PublisherTessellations Publishing
Pages407-410
Number of pages4
ISBN (Print)978-1-938664-27-4
Publication statusPublished - Jul 2019
Event22nd Annual Bridges Conference: Mathematics, Art, Music, Architecture, Education, Culture - Johannes Kepler University, Linz, Austria
Duration: 16 Jul 201920 Jul 2019
Conference number: 22
http://bridgesmathart.org/past-conferences/bridges-2019

Conference

Conference22nd Annual Bridges Conference
Abbreviated titleBridges Linz 2019
CountryAustria
CityLinz
Period16/07/1920/07/19
Internet address

Keywords

  • Art
  • Sculpture
  • Geometry
  • Math/Logic
  • Origami/Tessellation
  • Pattern/Symmetry/Sets

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    Verhoeff, T., & Verhoeff, K. (2019). The obtetrahedrille as a modular building block for 3D mathematical art. In S. Goldstine, D. McKenna, & K. Fenyvesi (Eds.), Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture (pp. 407-410). Tessellations Publishing.