ABOUT SOME METHODS OF ANALYTIC REPRESENTATION AND CLASSIFICATION OF A WIDE SET OF GEOMETRIC FIGURES WITH “COMPLEX” CONFIGURATION

Author: Ilia Tavkhelidze
Co-authors: J.Gielis (Belgium) and Sandra Pinelas (Portugal)
Keywords: Analytic representation, Möbius strip, Möbius-Listing's surfaces, First fundamental form, Jacobi matrix, Jacobian, One-to one transformation
Annotation:

We will present 2 different analytical representations of only one general idea - this is the representation of complex movements using the superposition of certain elementary displacements! Despite of the analytical and structural similarity of these representations, they describe fundamentally different geometric figures (in statics) and trajectories of motion (in dynamics). We show some geometric properties of GRT and GML - surfaces