Metaphors of Dissemination and Interaction of morphoCAs

28 Diagram.nb
3. PCL diagrams for morphoCA (3,3) with interaction and
mediation
Analysis of minimized ruleDCM[{1, 2, 12, 13, 5}]
ArrayPlot[CellularAutomaton[
{
{0, 0, 0} → 0,
{0, 0, 1} → 0, {0, 0, 2} → 0, {2, 2, 0} → 2,
{1, 2, 1} → 0, {0, 1, 0} → 2,
{0, 2, 2} → 1, {1, 0, 0} → 2, {2, 0, 0} → 1,
{0, 1, 2} → 0, {2, 1, 0} → 2
},
{{1}, 0}, 11],
ColorRules -> {1 -> Red, 0 -> Yellow, 2 → Blue, 3 → Green},
Mesh → True, ImageSize → 100]
Analysis
ruleDM[{1, 11, 3, 9, x}]
x / yz 00 10 12 01 02
0 [1] : 0 1,3 [12] : 2 1 [5] : 0 [11] : 0 [11] : 0 1,2
1 [13] : 2 1 - - - -
2 [13] : 1 3 [5] : 2 - - -
Distribution density
22
[13] : 1 3
-
-
The distribution density of a morphoCA constellation gives a simple measure for classification and comparison of
morphoCAs.
It holds for reduced and non-reduced morphoCA constellations.
0 / 7 1 / 2 2 / 2
000
010
001
002
012
200
022
010
210
S1 S1 S3
S3 S3 -
S2, 1, 2 - S1, 3, 1
S1, 3, 2 - S1, 1, 3
Analysis of the interaction patterns
{0, 0, 0} → 0, : sys1
{0, 0, 1} → 0,
: intra
{0, 0, 2} → 0, : sys3
{2, 2, 0} → 2,
{0, 0, 0} → 0