Tootfinder

Flow-Lenia: Emergent evolutionary dynamics in mass conservative continuous cellular automata
Erwan Plantec, Gautier Hamon, Mayalen Etcheverry, Bert Wang-Chak Chan, Pierre-Yves Oudeyer, Cl\'ement Moulin-Frier
https://arxiv.org/abs/2506.08569

Flow-Lenia: Emergent evolutionary dynamics in mass conservative continuous cellular automata
Central to the artificial life endeavour is the creation of artificial systems spontaneously generating properties found in the living world such as autopoiesis, self-replication, evolution and open-endedness. While numerous models and paradigms have been proposed, cellular automata (CA) have taken a very important place in the field notably as they enable the study of phenomenons like self-reproduction and autopoiesis. Continuous CA like Lenia have been showed to produce life-like patterns rem…

This https://arxiv.org/abs/2411.18264 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Hypergraphs and Lotka-Volterra systems with linear Darboux polynomials
We associate parametric classes of $n$-component Lotka-Volterra systems which admit $k$ additional linear Darboux polynomials, with admissible loopless hypergraphs of order $n$ and size $k$. We study the equivalence relation on admissible hypergraphs induced by linear transformations of the associated LV-systems, for $n\leq 5$. We present a new 13-parameter 5-component superintegrable Lotka-Volterra system, i.e. one that is not equivalent to a so-called tree-system. We conjecture that tree-syst…

Loop Patterns Formed by Cellular Automata
Rolf Hoffmann, Mariusz Bia{\l}ecki
https://arxiv.org/abs/2505.22679 https://arxiv.org/pdf/2…

Loop Patterns Formed by Cellular Automata
A Cellular Automata (CA) rule is presented that can generate "loop patterns" in a 2D grid under fixed boundary conditions. A loop is a cyclically closed path represented by one-cells enclosed by zero-cells. A loop pattern can contain several loops that are not allowed to touch each other. The problem is solved by designing an appropriate set of tiles that can overlap and which are used in the CA rule. Templates are derived from the tiles which are used for local pattern matching. In order to dr…

Loop Patterns Formed by Cellular Automata
Rolf Hoffmann, Mariusz Bia{\l}ecki
https://arxiv.org/abs/2505.22679 https://arxiv.org/pdf/2…

Loop Patterns Formed by Cellular Automata
A Cellular Automata (CA) rule is presented that can generate "loop patterns" in a 2D grid under fixed boundary conditions. A loop is a cyclically closed path represented by one-cells enclosed by zero-cells. A loop pattern can contain several loops that are not allowed to touch each other. The problem is solved by designing an appropriate set of tiles that can overlap and which are used in the CA rule. Templates are derived from the tiles which are used for local pattern matching. In order to dr…

Speculative Evolution Through 3D Cellular Automata
Amir Hossein Khazaei
https://arxiv.org/abs/2505.01692 https://arxiv.org/pdf/2505.0…

Speculative Evolution Through 3D Cellular Automata
This project explores speculative evolution through a 3D implementation of Conway's Game of Life, using procedural simulation to generate unfamiliar extraterrestrial organic forms. By applying a volumetric optimized workflow, the raw cellular structures are smoothed into unified, bone-like geometries that resemble hypothetical non-terrestrial morphologies. The resulting forms, strange yet organic, are 3D printed as fossil-like artifacts, presenting a tangible representation of generative struct…

Speculative Evolution Through 3D Cellular Automata
Amir Hossein Khazaei
https://arxiv.org/abs/2505.01692 https://arxiv.org/pdf/2505.0…

Speculative Evolution Through 3D Cellular Automata
This project explores speculative evolution through a 3D implementation of Conway's Game of Life, using procedural simulation to generate unfamiliar extraterrestrial organic forms. By applying a volumetric optimized workflow, the raw cellular structures are smoothed into unified, bone-like geometries that resemble hypothetical non-terrestrial morphologies. The resulting forms, strange yet organic, are 3D printed as fossil-like artifacts, presenting a tangible representation of generative struct…