4 ms·
I don't understand the update rules as described in the readme. In an 3x3 neighborhood there are 2^9, not 2^5 states. So we should get 2^512 possible update ru
by symmetricsaurus 4y ago
I don't understand the update rules as described in the readme.
In an 3x3 neighborhood there are 2^9, not 2^5 states. So we should get 2^512 possible update rules, not 2^32.
I think something similar is described in https://conwaylife.com/wiki/Rule_integer https://conwaylife.com/wiki/Rule_integer.
I'm not sure that all of those rules are valid. We must have translational invariance. One way to do that is to only update the state of the central cell in each considered neighborhood. In that case 2^9 rules are enough. Are there other ways to define consistent rules for a CA?
- ballenf 4y ago> One can conceive of other update rules. If one considers the five relevant cells... I think they're looking at alternative update rules. The one you question ignores diagonals.
- symmetricsaurus 4y agoConway's Game of Life does consider diagonals. Since they start and finish by talking about GoL I think they've made a mistake.
- jeadie 4y agoI can't believe I missed this. I always wondered why getting the types of patterns mentioned in literature were hard. Will definitely need to make an update. Thank you