This folder contains Jupyter notebooks with pedestrian
introductions of main objects of Lie-Möbius sphere geometry and
MoebInv package.
See the top-level annotated Table of Contents.
To jump to execution of a notebook click its ⚙CoLab
button at the end of description.
What is PyGiNaC, anyway? A pedestrian introduction of the key concept of Lie-Möbius sphere geometry. ⚙CoLab or 👁 HTML view
What is a cycle, anyway? A pedestrian introduction of the key concept of Lie-Möbius sphere geometry. ⚙CoLab or 👁 HTML view
What is the cycle product, anyway? A pedestrian introduction of the key concept of Lie-Möbius sphere geometry. ⚙CoLab or 👁 HTML view
What is a cycle relation, anyway? A pedestrian introduction of the key concept of Lie-Möbius sphere geometry. ⚙CoLab or 👁 HTML view
What is a figure, anyway? A pedestrian introduction of the key concept of Lie-Möbius sphere geometry. ⚙CoLab or 👁 HTML view
What is a subfigure, anyway? A pedestrian introduction of the key concept of Lie-Möbius sphere geometry. ⚙CoLab or 👁 HTML view
V.V. Kisil, MoebInv: Symbolic, numeric and graphic manipulations in non-Eclidean geometry, SourceForge repository, 2004-2019.
V.V. Kisil. Geometry of Möbius Transformations: Elliptic, Parabolic and Hyperbolic Actions of SL(2,R). Imperial College Press, London, 2012. Includes a live DVD.
V.V. Kisil, MoebInv notebooks, 2019.
V. V. Kisil. An extension of Mobius–Lie geometry with conformal ensembles of cycles and its implementation in a GiNaC library. Proc. Int. Geom. Cent., 11 (3):45–67, 2018. E-print: arXiv:1512.02960. Project page: http://moebinv.sourceforge.net/.
V. V. Kisil. Möbius–Lie geometry and its extension. In I. M. Mladenov, G. Meng, and A. Yoshioka (eds.) Geometry, integrability and quantization XX, pages 13–61, Bulgar. Acad. Sci., Sofia, 2019. E-print: arXiv:1811.10499.
V. V. Kisil. MoebInv: C++ libraries for manipulations in non-Euclidean geometry. SoftwareX, 11:100385, 2020. doi: 10.1016/j.softx.2019.100385.