3 papers
math.CO2021
Induction on Descent in Leaper Graphs
Nikolai Beluhov
We construct an infinite ternary tree whose root is the knight and whose vertices are all skew free leapers. We define the descent of a skew free leaper to be its "a…
math.CO2019
The Flexibility and Rigidity of Leaper Frameworks
Nikolai Beluhov
A leaper framework is a bar-and-joint framework whose joints are integer points forming a rectangular grid and whose bars correspond to all moves of a given leaper within that grid…
math.CO2017
The Second Leaper Theorem
Nikolai Beluhov
A -leaper is a fairy chess piece that, from a square , can move to any of the squares or . Let be a -leaper with $p…