54 citations · 460 across the 44 of their papers we have counts for
47 papers
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…
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…
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…
Dupin Cyclides as a Subspace of Darboux Cyclides
Jean Michel Menjanahary, Raimundas Vidunas
Dupin cyclides are interesting algebraic surfaces used in geometric design and architecture to join canal surfaces smoothly and to construct model surfaces. Dupin cyclides are spec…
Mixed Neumann-Fourier expressions for solving integral equations
Raimundas Vidunas
While teaching a course on integral equations, I noticed that a straightforward combination of Neumann series and Fourier series for the resolvent (or the solution) of an integral…
New upper bounds for the number of embeddings of minimally rigid graphs
Evangelos Bartzos, Ioannis Z. Emiris, Raimundas Vidunas
By definition, a rigid graph in (or on a sphere) has a finite number of embeddings up to rigid motions for a given set of edge length constraints. These embeddings a…