# Research

#### 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

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

. 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.

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

. On the existence of paradoxical motions of generically rigid graphs on the sphere. accepted to SIAM Journal on Discrete Mathematics, 2020.

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

# Talks

On the Classification of Motions of Paradoxically Movable Graphs
Nov 20, 2019
On the Classification of Motions of Laman Graphs
Jun 12, 2019
Paradoxical Mobility of $K_{3,3}$ Revisited
Jun 6, 2019
Rigid Graphs that are Movable
Mar 18, 2019
Rigidity and Flexibility of Graphs in SageMath
Jan 31, 2019
Graphs with flexible labelings allowing injective realizations
Sep 27, 2018
Graphs with flexible labelings
Jun 6, 2018
Lower bounds on the maximal number of realizations
Jun 5, 2018
On the Maximal Number of Real Embeddings of Spatial Minimally Rigid Graphs
Jul 19, 2018
Method for construction of parallel addition algorithms
May 27, 2015