Geometry_of_cycles

Geometry of cycles

This is the main folder with Jupyter notebooks considering Lie-Möbius sphere geometry through the usage of the dedicated MoebInv package.

Back to the top-level Table of Contents.

To jump to execution of a notebook click its ⚙CoLab button at the end of description.

Start from the Basics

• What is a cycle, anyway? A pedestrian introduction of the key concept of Lie-Möbius sphere geometry. ⚙CoLab 👁 HTML view

• What is PyGiNaC, anyway? A pedestrian introduction of the key concept of Lie-Möbius sphere geometry. ⚙CoLab or 👁 HTML view

References

1. Vladimir V. Kisil, MoebInv: Symbolic, numeric and graphic manipulations in non-Eclidean geometry, SourceForge repository, 2004-2019.

2. Vladimir V. Kisil. Geometry of Möbius Transformations: Elliptic, Parabolic and Hyperbolic Actions of SL(2,R). Imperial College Press, London, 2012. Includes a live DVD.

3. Vladimir V. Kisil, MoebInv notebooks, 2019.