MoebInv
swMATH ID:  27527 
Software Authors:  Vladimir V. Kisil 
Description:  Symbolic, numeric and graphic manipulations in NonEclidean geometry: moebinv. The project contains two C++ libraries for symbolic, numeric and graphical manipulations in nonEuclidean geometry. There is Graphical User Interface which allows to interact with these libraries by mouse clicks. On the deeper level the first library Cycle implements basic operations on cycles (quadrics) through SFSCc construction. The second library Figure operates on ensembles of cycles connected by Moebiusinvariant relations, e.g. orthogonality. Both libraries are based on the Clifford algebra capacities of the GiNaC computer algebra system. Besides C++ libraries there is a Python wrapper, which can be used in interactive mode. The core of both libraries is done for spaces with an arbitrary dimension. In addition, there are some 2D/3Dspecific routines including a visualisation to PS/PDF/PNG files through Asymptote software. The source code is written in literate programming environment NoWeb. 
Homepage:  http://moebinv.sourceforge.net/ 
Keywords:  Mobius transformations; fractionlinear transformation; CayleyKlein geometries; Clifford algebras; C++ libraries; Python wrapper 
Related Software:  GiNaC; Python; Asymptote; Noweb; REDUCE 
Cited in:  3 Documents 
Standard Articles
2 Publications describing the Software  Year 

Lectures on MoebiusLie Geometry and its Extension arXiv Vladimir V. Kisil 
2018

An Extension of MoebiusLie Geometry with Conformal Ensembles of Cycles and Its Implementation in a GiNaC Library arXiv Vladimir V. Kisil 
2015

Cited by 2 Authors
2  Kisil, Vladimir V. 
1  Ulrych, S. 
Cited in 2 Serials
1  Journal of Mathematical Analysis and Applications 
1  Elemente der Mathematik 
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