3 papers
nlin.CG2025
Conway's game Life perturbed
Raimundas Vidunas, Arnas Vaicekauskas
A stochastic modification of Conway's cellular automaton "Life" is introduced here. Any cell could be perturbed spontaneously to the opposite (dead or alive) state at any iteration…
math.AG2024
Belyi maps from zeroes of hypergeometric polynomials
Raimundas Vidunas
Evaluation of low degree hypergeometric polynomials to zero defines an algebraic hypersurface in the affine space of the free parameters and the argument. This article investigates…
math.AG2024
Dupin cyclides passing through a fixed circle
Jean Michel Menjanahary, Raimundas Vidunas
We derive algebraic equations on the coefficients of the implicit equation to characterize all Dupin cyclides passing through a fixed circle. The results are applied to solve the b…