# 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

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

. 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.

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

# Talks

Zero-sum cycles: a necessary condition for the flexibility of polyhedra
Jun 16, 2021
Bracing frameworks using edge colorings
Feb 23, 2021