Ein konkretes Beispiel zu den symmetrischen Möbius-Zwangläufen (An explicit example for the symmetric Möbius-motions) (Q2714350)

In analogy to the Quetelet property of Euclidean symmetric rolling friction \textit{W. Degen} and \textit{S. Hartmann} [Öster. Akad. Wiss. Math.-Naturw. Kl., Sitzungsber., Abt. II 186, 179-192 (1977; Zbl 0371.50015)] introduced symmetric constrained Möbius motions. However, no concrete models of such motions were known. In the paper under review the author constructs the first example of symmetric constrained Möbius motions and discusses it in the projective and conformal model of Möbius geometry. In the former model the base lines are conics of the absolute quadric. In the latter model the centrodes are circles and the orbits, in general, are quartics.