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Metaphors of Dissemination and Interaction of morphoCAs

Meta-theoretical considerations about the behavior of morphic cellular automata are sketched. Different types of flow diagrams for morphoCAs are distinguished: 1. mono-contextural, 2. interactional/transactional and 3. mediational poly-contextural types. Those thematizations are offering a better understanding of the nature of morphic cellular automata.

Meta-theoretical considerations about the behavior of morphic cellular automata are sketched. Different types of flow diagrams for morphoCAs are distinguished: 1. mono-contextural, 2. interactional/transactional and 3. mediational poly-contextural types. Those thematizations are offering a better understanding of the nature of morphic cellular automata.

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40 Diagram.nb<br />

Computation: intra-contextural actions<br />

{0, 0, 0} → 0, : sys1<br />

{0, 1, 1} → 0<br />

{1, 0, 0} → 1,<br />

{1, 0, 0} → 1,<br />

{1, 1, 1} → 1,<br />

{1, 1, 1} → 1, : Sys2<br />

{1, 2, 1} → 2,<br />

{1, 2, 2} → 1,<br />

{2, 1, 1} → 2,<br />

{2, 2, 2} → 2<br />

{0, 0, 0} → 0, : Sys3<br />

{0, 2, 2} → 0,<br />

{2, 0, 0} → 2,<br />

{2, 2, 2} → 2<br />

{2, 2, 2} → 2, : Sys4<br />

{2, 3, 3} → 2,<br />

{3, 2, 2} → 3,<br />

{3, 3, 3} → 3<br />

{1, 1, 1} → 1, : Sys5<br />

{1, 3, 3} → 1,<br />

{3, 1, 1} → 3,<br />

{3, 3, 3} → 3<br />

{0, 0, 0} → 0, : Sys6<br />

{0, 3, 3} → 0,<br />

{3, 0, 0} → 3,<br />

{3, 3, 3} → 3<br />

Alternation: inter-contextural actions<br />

{0, 0, 1} → 2 : sys1 → sys2 || sys3<br />

{1, 1, 0} → 2 : sys1 → sys3 || sys2<br />

{0, 1, 0} → 2,<br />

{1, 0, 1} → 2,<br />

{0, 0, 2} → 1 : sys3 → sys1 || sys2<br />

{2, 2, 0} → 1,<br />

{2, 0, 2} → 1,<br />

{0, 2, 0} → 1,<br />

{0, 0, 3} → 2, : sys6 → sys3 || sys4<br />

{3, 3, 0} → 2,<br />

{0, 3, 0} → 2,<br />

{3, 0, 3} → 1,<br />

{1, 1, 2} → 0, : sys2 → sys1 || sys3<br />

{2, 2, 1} → 0,<br />

{1, 2, 1} → 0,<br />

{2, 1, 2} → 0,<br />

{2, 2, 3} → 0, : sys4 → sys3 || sys6<br />

{3, 3, 2} → 1, : sys4 → sys5 || sys2<br />

{2, 3, 2} → 1,<br />

{3, 2, 3} → 1,<br />

{1, 1, 3} → 2, : sys5 → sys2 || sys4<br />

{3, 3, 1} → 0, : sys5 → sys6 || sys1<br />

{3, 1, 3} → 2,<br />

{1, 3, 1} → 2,

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