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.
|Title of host publication||Proceedings of Bridges 2019|
|Subtitle of host publication||Mathematics, Art, Music, Architecture, Education, Culture|
|Editors||Susan Goldstine, Douglas McKenna, Kristóf Fenyvesi|
|Place of Publication||Phoenix|
|Number of pages||4|
|Publication status||Published - Jul 2019|
|Event||22nd Annual Bridges Conference: Mathematics, Art, Music, Architecture, Education, Culture - Johannes Kepler University, Linz, Austria|
Duration: 16 Jul 2019 → 20 Jul 2019
Conference number: 22
|Conference||22nd Annual Bridges Conference|
|Abbreviated title||Bridges Linz 2019|
|Period||16/07/19 → 20/07/19|
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.