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

. Bracing frameworks consisting of parallelograms. Accepted to The Art of Discrete and Applied Mathematics, 2021.

Preprint PDF Project Interactive Jupyter notebook

. Zero-sum cycles in flexible non-triangular polyhedra. Accepted to 2nd IMA Conference on Mathematics of Robotics, 2021.

Preprint Project

. Flexible placements of graphs with rotational symmetry. Accepted to 2nd IMA Conference on Mathematics of Robotics, 2021.

Preprint Project

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

Preprint Project DOI

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