Research

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Bricard's octahedra

New proof of the classification of Bricard’s octahedra

Movable Graphs

Graphs with infinitely many realizations in the plane satisfying edge length constraints

Number of Real Embeddings of Minimally Rigid Graphs

Finding edge lengths of minimally rigid graphs with many real embeddings.

Construction of algorithms for Parallel Addition

Parallel Addition algorithms in non-standard numeration systems are constructed by so called Extending Window Method.

Publications

More Publications

. On the maximal number of real embeddings of minimally rigid graphs in $\mathbb{R}^2$, $\mathbb{R}^3$ and $S^2$. Journal of Symbolic Computation, 2021.

Preprint Dataset Project DOI

. Zero-sum cycles in flexible polyhedra. submitted, 2020.

Preprint Project

. Bracing frameworks consisting of parallelograms. submitted, 2020.

Preprint Project Interactive Jupyter notebook

. FlexRiLoG – A SageMath Package for Motions of Graphs. Mathematical Software – ICMS 2020. Lecture Notes in Computer Science, 2020.

Preprint Code Project Interactive Jupyter notebook DOI

. Computing Animations of Linkages with Rotational Symmetry (Media Exposition). 36th International Symposium on Computational Geometry (SoCG 2020), 2020.

PDF Code Project Video DOI Interactive Jupyter Notebook

Talks

On the Classification of Motions of Paradoxically Movable Graphs
Nov 20, 2019
Geometry Seminar of the Research Group Differential Geometry and Geometric Structures, TU Wien
Project Slides Video
On the Classification of Motions of Laman Graphs
Jun 12, 2019
Geometric constraint systems: rigidity, flexibility and applications
Project Slides Video
Paradoxical Mobility of $K_{3,3}$ Revisited
Jun 6, 2019
Conference on Geometry: Theory and Applications
Project Slides
Rigid Graphs that are Movable
Mar 18, 2019
EuroCG 2019
PDF Project Slides
Rigidity and Flexibility of Graphs in SageMath
Jan 31, 2019
ARCADES - 2nd Software & Industrial Workshop
Project
Graphs with flexible labelings allowing injective realizations
Sep 27, 2018
Rigidity and Flexibility of Geometric Structures
Project Slides
Graphs with flexible labelings
Jun 6, 2018
Bond-node structures: rigidity, combinatorics and chemistry
Project Slides
Lower bounds on the maximal number of realizations
Jun 5, 2018
Bond-node structures: rigidity, combinatorics and chemistry
Project Slides
On the Maximal Number of Real Embeddings of Spatial Minimally Rigid Graphs
Jul 19, 2018
The International Symposium on Symbolic and Algebraic Computation (ISSAC 2018)
Project Slides
Method for construction of parallel addition algorithms
May 27, 2015
Workshop on Automatic Sequences
Project Slides

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