Message Boards Message Boards

Educational plot for cellular automaton

GROUPS:

Here is an idea to display a CellularAutomaton evolution where every updated cell shows the neighborhood above it. This might be helpful when explaining to someone how it works.

plot of rule 30 for 4 steps

ECAPlot[history_, opts___] := 
 With[{l = Length[history]},  Graphics[{EdgeForm[Gray], 
    MapIndexed[{GrayLevel[1 - #], Rectangle[{#2[[2]] - 1, l - #2[[1]]}]} &, history, {2}], 
    MapIndexed[Table[{GrayLevel[1 - #[[1, i]]], 
        Rectangle[{#2[[2]] - 1 + .2 (i), l - #2[[1]] - 1 + .4}, {#2[[2]] - 1 + .2 (i + 1), l - #2[[1]] - 1 + .6}]}, {i, 3}] &, 
     RotateRight /@ Most[Partition[history, {2, 3}, 1, 1]], {2}]}, opts]]

The update for each cell depends on the three cells above it, one to the left, one above and one to the right. The rule for the update stays the same. There are only eight cases for a rule so there are 256=2^8 rules. For more information see Wolfram's New Kind of Science. There are other ways for viewing rules like RulePlot but there should be more modern ways for helping explain how these simple rules work.

With the above code, the picture is from

ECAPlot[CellularAutomaton[30, {{1}, 0}, 4]]
POSTED BY: Todd Rowland
Answer
3 months ago

So you’re experiencing the subsequent issue; once plotting a drawing from AutoCAD that was created in, or that contains drawing information that was created in, an academic (Student associated Faculty) version of AutoCAD or an AutoCAD-based program, the subsequent plot stamp or watermark seems within the final output: Best Essay Writing Service UK

POSTED BY: Stephen merchant
Answer
24 days ago

Group Abstract Group Abstract