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States.md

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Symbols and Functions > WolframModel and WolframModelEvolutionObject > Properties >

States

These are the properties used to extract states at a particular moment in the evolution. They always return lists, but in the examples below, we plot them for clarity.

"FinalState" (aka -1) yields the state obtained after all replacements of the evolution have been made:

In[] := HypergraphPlot @ WolframModel[{{1, 2, 3}, {4, 5, 6}, {1, 4}} ->
   {{2, 7, 8}, {3, 9, 10}, {5, 11, 12}, {6, 13, 14}, {8, 12}, {11,
     10}, {13, 7}, {14, 9}},
  {{1, 1, 1}, {1, 1, 1}, {1, 1}, {1, 1}, {1, 1}}, 6, "FinalState"]

"StatesList" yields the list of states at each generation:

In[] := HypergraphPlot /@ WolframModel[{{1, 2, 3}, {4, 5, 6}, {1, 4}} ->
   {{2, 7, 8}, {3, 9, 10}, {5, 11, 12}, {6, 13, 14}, {8, 12}, {11,
     10}, {13, 7}, {14, 9}},
  {{1, 1, 1}, {1, 1, 1}, {1, 1}, {1, 1}, {1, 1}}, 6, "StatesList"]

This is identical to using the "Generation" property mapped over all generations:

In[] := HypergraphPlot /@ (WolframModel[{{1, 2, 3}, {4, 5, 6}, {1, 4}} ->
       {{2, 7, 8}, {3, 9, 10}, {5, 11, 12}, {6, 13, 14}, {8, 12}, {11,
          10}, {13, 7}, {14, 9}},
      {{1, 1, 1}, {1, 1, 1}, {1, 1}, {1, 1}, {1, 1}}, 6][
     "Generation", #] &) /@ Range[0, 6]

In fact, the "Generation" property can be omitted and the index of the generation can be used directly:

In[] := HypergraphPlot /@ WolframModel[{{1, 2, 3}, {4, 5, 6}, {1, 4}} ->
    {{2, 7, 8}, {3, 9, 10}, {5, 11, 12}, {6, 13, 14}, {8, 12}, {11,
      10}, {13, 7}, {14, 9}},
   {{1, 1, 1}, {1, 1, 1}, {1, 1}, {1, 1}, {1, 1}}, 6] /@ Range[0, 6]

"StatesList" shows a compressed version of the evolution. To see how the state changes with each applied replacement, use "AllEventsStatesList":

In[] := HypergraphPlot /@ WolframModel[{{1, 2, 3}, {4, 5, 6}, {1, 4}} ->
   {{2, 7, 8}, {3, 9, 10}, {5, 11, 12}, {6, 13, 14}, {8, 12}, {11,
     10}, {13, 7}, {14, 9}},
  {{1, 1, 1}, {1, 1, 1}, {1, 1}, {1, 1}, {1, 1}}, 3,
  "AllEventsStatesList"]

Finally, to see a state after a specific event, use "StateAfterEvent" (aka "SetAfterEvent"):

In[] := HypergraphPlot @ WolframModel[{{1, 2, 3}, {4, 5, 6}, {1, 4}} ->
    {{2, 7, 8}, {3, 9, 10}, {5, 11, 12}, {6, 13, 14}, {8, 12}, {11,
      10}, {13, 7}, {14, 9}},
   {{1, 1, 1}, {1, 1, 1}, {1, 1}, {1, 1}, {1, 1}}, 6][
  "StateAfterEvent", 42]

"StateAfterEvent" is equivalent to taking a corresponding part in "AllEventsStatesList", but it is much faster to compute than the entire list.