3D Space Trajectories and beyond: Abstract Art Creation with 3D Printing

Thierry Dana-Picard
(Jerusalem College of Technology)
Matias Tejera
(Johannes Kepler University Linz, Austria)
Eva Ulbrich
(Johannes Kepler University Linz, Austria)

We present simple models of trajectories in space, both in 2D and in 3D. The first examples, which model bicircular moves in the same direction, are classical curves (epicycloids, etc.). Then, we explore bicircular moves in reverse direction and tricircular moves in 2D and 3D, to explore complex visualisations of extraplanetary movements. These moves are studied in a plane setting. Then, adding increasing complexity, we explore them in a non planar setting (which is a closer model of the real situation). The exploration is followed by using these approaches for creating mathematical art in 2D and 3D printed objects, providing new ways of mathematical representations. Students' activities are organized around this exploration.

In Pedro Quaresma and Zoltán Kovács: Proceedings 14th International Conference on Automated Deduction in Geometry (ADG 2023), Belgrade, Serbia, 20-22th September 2023, Electronic Proceedings in Theoretical Computer Science 398, pp. 142–152.
Published: 22nd January 2024.

ArXived at: https://dx.doi.org/10.4204/EPTCS.398.17 bibtex PDF
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