- tags
- Cellular automata
- papers
- (Chan 2019; Chan 2020)
Lenia is a continuous cellular automaton initially developed by Bert Chan. It is sometimes referred to as a “continuous Conway’s Game of Life”.
Definition
Lenia is defined by a PDE that describes the evolution of the scalar field \(\mathbf{A}\) given a convolution kernel \(\mathbf{K}\) and a growth mapping \(G\):
\begin{equation} \mathbf{A}^{t+\Delta t} = \left[ \mathbf{A}^{t} + \Delta t \;G \big(\mathbf{K}*\mathbf{A}^t\big) \right]_0^1 \end{equation}
Particle Lenia
Bibliography
- Bert Wang-Chak Chan. . "Lenia - Biology of Artificial Life". Arxiv:1812.05433 [nlin]. http://arxiv.org/abs/1812.05433.
- Bert Wang-Chak Chan. . "Lenia and Expanded Universe". Arxiv:2005.03742 [nlin]. http://arxiv.org/abs/2005.03742.