3 papers
math.CO2024
A half-automated study of a 2-parameter family of integrals
David G. Zeitoun, Thierry Dana-Picard
The study of some parametric integrals is presented with a combined approach of analytical development, the usage of a Computed Algebra System (CAS) and of the Online Encyclopedia…
cs.CG2024
3D Space Trajectories and beyond: Abstract Art Creation with 3D Printing
Thierry Dana-Picard, Matias Tejera, Eva Ulbrich
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,…
math.HO2021
Offsets of a regular trifolium
Thierry Dana-Picard, Zoltán Kovács
The non-uniqueness of a rational parametrization of a rational plane curve may influence the process of computing envelopes of 1-parameter families of plane curves. We study envelo…