Research

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Paradoxical flexibility of frameworks (22-04381L)

Joint project between RICAM in Linz and FIT, CTU in Prague.

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

. Flexibility and rigidity of frameworks consisting of triangles and parallelograms. Computational Geometry, 2024.

Preprint Project DOI

. Flexing infinite frameworks with applications to braced Penrose tilings. Discrete Applied Mathematics, 2023.

Preprint Code Project DOI

. Bracing frameworks consisting of parallelograms. The Art of Discrete and Applied Mathematics, 2022.

Preprint PDF Project Interactive Jupyter notebook DOI

. Zero-sum cycles in flexible polyhedra. Bulletin of the London Mathematical Society, 2022.

Preprint Project DOI

. Flexible placements of graphs with rotational symmetry. 2nd IMA Conference on Mathematics of Robotics. IMA 2020. Springer Proceedings in Advanced Robotics, 2022.

Preprint Project DOI

Talks

More Talks

FlexRiLoG - constructing flexible realizations via edge colorings
Mar 12, 2024
Workshop Code of Rigidity, Special Semester on Rigidity and Flexibility
Project Interactive Jupyter notebook
Galois groups of the motions of flexible pentagonal bipyramids
Aug 11, 2023
Workshop on Constraint Systems: Distance Geometry, Structured Polynomials, Matrix Completion and Kinematics
Project Video
Flexibility of frameworks using edge colorings
Jun 21, 2023
Conference on Geometry: Theory and Applications (CGTA 2023)
Project

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