Yury Kochetkov

collaborators

3 papers

math.CO2025

On the construction of frieze patterns from partitions of convex polygons by nonintersecting diagonals

Yury Kochetkov

We demonstrate in an elementary way how to construct a frieze pattern of width $m - 3$ from a partition of a convex $m$ -gon by not intersecting diagonals.

math.CO2025

On one property of Catalan numbers

Yury Kochetkov

We give a new proof of the following statement: the Catalan number $C_{n}$ is divisible by $n + 2$ , if $n$ is odd and $n \neq \equiv 1 mod 3$ .

math.DS2024

Mathematical and physical billiard in pyramids

Yury Kochetkov, Lev Pyatko

In this experimental work we study billiard trajectories in triangular pyramids and try to establish conditions that guarantee the existence (or absence) of 4-cycles (there can be…