Publications

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. Pentagonal bipyramids lead to the smallest flexible embedded polyhedron. preprint, 2024.

Preprint Project

. Constructing reflection-symmetric flexible realisations of graphs. preprint, 2024.

Preprint Project

. 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

. Zero-sum cycles in flexible non-triangular polyhedra. 2nd IMA Conference on Mathematics of Robotics. IMA 2020. Springer Proceedings in Advanced Robotics, 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

. On the existence of paradoxical motions of generically rigid graphs on the sphere. SIAM Journal on Discrete Mathematics, 2021.

Preprint Project DOI

. Combinatorics of Bricard's octahedra. Comptes Rendus. Mathématique, 2021.

Preprint Project DOI

. 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

. On the Classification of Motions of Paradoxically Movable Graphs. Journal of Computational Geometry, 2020.

Preprint Code Project DOI

. 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

. Graphs with Flexible Labelings allowing Injective Realizations. Discrete Mathematics, 2020.

Preprint Code Project Slides DOI

. Rotational symmetric flexible placements of graphs. EuroCG, 2020.

PDF Project Video

. Graphs with Flexible Labelings. Discrete and Computational Geometry, 2019.

Preprint PDF Project Slides DOI

. Construction of algorithms for parallel addition in expanding bases via Extending Window Method. Theoretical Computer Science, 2019.

Preprint Code Dataset Project DOI

. Animated Motions of Exceptional Flexible Instances of Generically Rigid Graphs. Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture, 2019.

PDF Dataset Project DOI

. Flexible and Rigid Labelings of Graphs. Doctoral Thesis, 2019.

PDF Code Project Slides Video

. Rigid Graphs that are Movable. EuroCG, 2019.

PDF Project Slides

. Minimal non-integer alphabets allowing parallel addition. Acta Polytechnica, 2018.

Preprint Project DOI

. On the Maximal Number of Real Embeddings of Spatial Minimally Rigid Graphs. Proceedings of ISSAC ‘18, 2018.

Preprint Code Dataset Project DOI

. Construction of algorithms for parallel addition in non-standard numeration systems. Master Thesis, 2016.

PDF Code Dataset Project

. Construction of algorithms for parallel addition. Research project, 2015.

PDF Code Dataset Project

. Hašovací funkce a kombinatorika na slovech. (Czech) [Hash functions and combinatorics on words]. Pokroky matematiky, fyziky a astronomie, 2014.

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. Hašovací funkce a kombinatorika na slovech. (Czech) [Hash functions and combinatorics on words]. Bachelor Thesis, 2013.

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