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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42 Diagram.nb<br />
ruleDM[{1, 11, 8, 4, 15}]<br />
x / yz 00 01 02 03 10 20 30 11 12 13 21 22 23 31 32 33<br />
0 0 2 1 2 1 2 3 0 3 2 3 0 1 2 1 0<br />
1 1 0 3 2 2 3 2 1 1 2 2 1 0 3 0 1<br />
2 2 3 2 1 3 1 1 2 1 0 0 2 0 0 3 2<br />
3 3 2 1 0 2 1 2 3 0 1 0 3 2 0 1 3<br />
Analysis <strong>of</strong> the interaction patterns<br />
Computation: intra-contextural action<br />
{0, 0, 0} → 0, : sys1<br />
{0, 1, 0} → 0,<br />
{0, 1, 1} → 0<br />
{1, 0, 0} → 1,<br />
{1, 0, 1} → 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, 2} → 1,<br />
{2, 1, 1} → 2,<br />
{2, 2, 2} → 2<br />
{0, 0, 0} → 0, : Sys3<br />
{0, 2, 2} → 0,<br />
{0, 2, 0} → 2,<br />
{2, 0, 0} → 2,<br />
{2, 0, 2} → 0,<br />
{2, 2, 2} → 2<br />
{2, 2, 2} → 2, : Sys4<br />
{2, 3, 2} → 3,<br />
{2, 3, 3} → 2,<br />
{3, 2, 2} → 3,<br />
{3, 2, 3} → 2,<br />
{3, 3, 3} → 3<br />
{1, 1, 1} → 1, : Sys5<br />
{1, 3, 1} → 3,<br />
{1, 3, 3} → 1,<br />
{3, 1, 1} → 3,<br />
{3, 1, 3} → 1<br />
{3, 3, 3} → 3<br />
{0, 0, 0} → 0, : Sys6<br />
{0, 3, 0} → 3,<br />
{0, 3, 3} → 0,<br />
{3, 0, 0} → 3,<br />
{3, 0, 3} → 0,<br />
{3, 3, 3} → 3<br />
Alternation: inter-contextural actions
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