Ana Diakvnishvili

collaborators

4 papers

math.MG2026

Feasibility problem for the radii of Steiner 4-chains

Ana Diakvnishvili

Motivated by the solution of Descartes famous problem on the chains of tangent circles given by D.Mathews and O.Zymaris, we give an algorithmic solution to the feasibility problem…

math.GM2025

Complex invariants of poristic Steiner 4-chains

Ana Diakvnishvili, Giorgi Khimshiashvili

We are concerned with the Steiner chains consisting of four circles. More precisely, we deal with the so-called complex moments of Steiner 4-chains introduced in a recent paper by…

math.AG2025

Bicentric configurations of pentagonal linkages

Ana Diakvnishvili

Let $P$ be a planar $n$ -gon with the sidelengths $a_{1}, \dots, a_{n}$ and let us denote by $L = L (P)$ the corresponding planar polygonal linkage. We are concerned with the problem of f…

math.CO2025

Invariants and areas of Steiner 4-chains

Guna Bibileishvili, Ana Diakvnishvili

We are concerned with the invariants of Steiner chains consisting of four circles. In particular, we compute the invariant moments of curvatures in Steiner 4-chains and give two ap…