#MCell 2.0 #GAME Cyclic CA #RULE R1/T1/C14/NN #BOARD 100x100 #SPEED 0 #WRAP 0 #D #D This is the basic Cyclic Cellular Automaton experiment that was #D featured in the August 1989 Computer Recreations column of Scientific #D American. Starting from a uniform random distribution over 14 colors, #D droplets of color waves nucleate fairly quickly. By about time 125 #D virtually all of the initial "debris" has been overrun by the droplets. #D As the last vestiges of debris are eliminated, vortices emerge from #D the disordered wave fronts, creating diamond-shaped spirals. #D By about time 300 the array is completely covered with periodic #D spirals, out of phase with one another and not all of minimal period 14. #D Typically it takes much longer for the period 14 spiral cores to displace #D their feebler competitors. In most cases, by the experiment's #D Final Time of 1500 every cell in the array is updating every time, so #D that the entire finite system has achieved a periodic state. #D #D As one varies the parameters: Range (and Shape) of the neighbor set, #D Threshold for advancing around the color wheel, and # of Colors in the #D wheel, CCA dynamics exhibit many different types of self-organization. #D Some parallel Greenberg-Hastings behavior, but others are quite distinct. #D Some nice choices to try, all for Box neighborhoods, are: #D #D Range Threshold # of Colors Description #D ----- --------- ----------- ----------- #D 3 5 8 Cyclic spirals #D 1 3 4 Perfect 4-spirals #D 2 5 8 Turbulence #D 2 9 4 Fossil debris #D 2 11 3 3-color bootstrap #D #D David Griffeath #L DKGLHIHIFIBAEGDBLHFHHCA.IMHFLDH.IFMIGCDLACLBEAMALILHLCEMHFGEAADIAIFKHL #L JBBIDBGIJC.B.DHBCHEADABEFHHMBB$.BGIEECMK.GJEIGDDHDLMDAHJADE.DACBIHIDCK #L .F.GCFEBKHFLK.HEHDMKAFG.FBAMBBC.JJBAADIMLGAIA.BEEJDDGDMHMH.C$CBDH3BDBC #L 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