Yury Kochetkov

activity

20072025

most citedCatalog of dessins d'enfants with \le 4 edges

34 citations · 42 across the 31 of their papers we have counts for

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8 papers · 1 filter

math.MG2023

A two dimensional analog of the three gap theorem

Yury Kochetkov, Alexandr Osipov

For a two dimensional vector $v ˉ = (α, β)$ , where $α > 0, β > 0$ are irrational numbers independent over $Q$ , we consider the set $D_n=\{(iα\,{\rm mod}\,1,iβ\,{\rm mod}\,1),i…

math.MG2021

A dynamical system in the space of convex quadrangles

Yury Kochetkov

Let us consider a family $F (α, β, γ, δ)$ of convex quadrangles in the plane with given angles ${α, β, γ, δ}$ and with the perimeter $2 π$ . Such quadrangle $Q \in F (α, β, γ, δ)$ can be consi…

math.MG2021

Two dynamical systems in the space of triangles

Yury Kochetkov

Let $M$ be the space of triangles, defined up to shifts, rotations and dilations. We define two maps $f : M \to M$ and $g : M \to M$ . The map $f$ corresponds to a triangle of perimeter $…

math.MG2020

The geometry of quadrangular convex pyramids

Yury Kochetkov

A convex quadrangular pyramid $A B C D E$ , where $A B C D$ is the base and $E$ -- the apex, is called \emph{strongly flexible}, if it belongs to a continuous family of pairwise non-congru…

math.MG2020

Polygons in three-dimensional space

Yury Kochetkov

Let $P = A_{1} \dots A_{n}$ be a generic polygon in three-dimensional space and let $v_{1}, v_{2}, \dots, v_{n}$ be vectors $A_{1} A_{2}, A_{2} A_{3}, \dots, A_{n} A_{1}$ , respec…

math.MG2019★ 2 cited

Dual quadrangles in the plane

Irina Busjatskaja, Yury Kochetkov

We consider quadrangles of perimeter $2$ in the plane with marked directed edge. To such quadrangle $Q$ a two-dimensional plane $Π \in R^{4}$ with orthonormal base is correspo…