4 papers
Bivariate quaternionic factorizations and surfaces that decompose into two circles
Johanna Frischauf, Niels Lubbes, Hans-Peter Schröcker
We present an algebraic and geometric condition for bivariate quaternionic polynomials of arbitrary bidegree to have a univariate linear left or right factor. We apply this quatern…
Bistable Quad-Nets Composed of Four-Bar Linkages
Gudrun Szewieczek, Daniel Huczala, Martin Pfurner +1
We study a novel type of mechanical structures, composed of spatial four-bar linkages, that are bistable, that is, they allow for two distinct configurations. These structures have…
A Complete Characterization of Pythagorean Hodograph Preserving Mappings
Amedeo Altavilla, Hans-Peter Schröcker, Zbyněk Šír +1
We fully characterize the mappings that send every Pythagorean-hodograph (PH) curve to a PH curve. We prove that in any dimension, such mappings are precisely the conformal fun…
Rational Motions of Minimal Quaternionic Degree with Prescribed Line Trajectories
Zülal Derin Yaqub, Hans-Peter Schröcker
In this paper, we study how to find rational motions that move a line along a given rational ruled surface. Our goal is to find motions with the lowest possible degree using dual q…