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Spatial entropy over time

s613 demonstrates greater spatial entropy variation over time compared to Hydrogeminium natans

Hydrogeminium natans and s613 share the same neighborhood kernel, and the s613 persistence function is placed nearly in the same position as the ‘Geminium growth function.

The behavior is very different. Is it the CA framework? Isn’t it at least as likely to be a result of the diffferent selection strategy for rule parameters?

Lenia CA and patterns were mostly manually engineered or selected for human preferences ¹. Most glaberish CA were selected specifically for halting (vanishing) proportion (50/50) or unpredictability ².

Note that Lenia CA Astrium scintillans and two variants of Pentafolium incarceratus have a more dynamic character. Check them here

Hydrogeminium natans (Lenia)

s613 (glaberish)

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1. Chan, Bert Wang-Chak. “Lenia - Biology of Artificial Life.” Complex Syst. 28 (2019): https://arxiv.org/abs/1812.05433. ↩

2. Davis, Q. Tyrell, and Josh Bongard. “Selecting Continuous Life-Like Cellular Automata for Halting Unpredictability: Evolving for Abiogenesis.” GECCO Companion Proceedings (2022). https://arxiv.org/abs/2205.10463 ↩

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