[Rule Number 4067213884 ;)] - A New Kind of Science: The NKS ForumA New Kind of Science: The NKS Forum
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Rule Number 4067213884 ;)
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Posted by: Erik21
At page 274.
I have done the figure at page 273, but i dont succeed to make the figure shown in the next page (274).
I have changed the rule (page 273 rule 184, page 274 rule 90 or not?) and I have set up the equal initial conditions (white cells = black cells), but dont' work, I must make other modifications?
The figure at page 274 use only the rule 90 or 184?
Which differences have the two figures?
Thanks, and sorry for my too many questions.
Posted by: Jason Cawley
The rule on page 274 is a range 2 rule, not a range 1 rule. It depends on a neighborhood 5 cells wide in total. So instead of 2^(2^3) possible rules, it is in a space with 2^(2^5) possible rules. Hence its large rule number. There are 32 cases in its rule table rather than 8. The rule number tells us how to fill out those cases, according to -
IntegerDigits[4067213884, 2, 32]
{1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0,
1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0}
In Mathematica, the way to specify a range 2 rule to the CellularAutomaton function is by using this form for the first argument -
CellularAutomaton[{4067213884, 2, 2}, initial, steps];
I've attached a simple 5.1 notebook that makes plots of this rule - or any other range 2 rule if you change the rule number - from random initials.
Posted by: Erik21
Thanks.
rule 90 and 184 consist of 8 rule.
the range with 32 rule is like this attachment.
Is it correct?
Posted by: Erik21
i have done ehehe, look the attachment.
Thanks again for help ;)
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