ConwayLife.com

... rule is similar to 2x2 in some respects. It is B3/S12 with the added survival conditions x = 27, y = 3, rule = 2xpand2 7bo5bo4bobo5bo$bo4b3o3b3o4bo4b2o$3o10bo4bobo4bo! . ...

... are a few confusing aspects of the rule table: Having most of the birth conditions at the top but two extras down the bottom makes it harder to find relevant transitions for determining birth criteria. The survival transitions are almost fully specified, i.e. there are transitions for ...

... are a few confusing aspects of the rule table: Having most of the birth conditions at the top but two extras down the bottom makes it harder to find relevant transitions for determining birth criteria. The survival transitions are almost fully specified, i.e. there are transitions for ...

... of 'rulename' put the name of your rule. 2. Birth Pick out the birth conditions you want, and put it 2 lines after the header: #B0 0,0,0,0,0,0,0,0,0,1 ... #B7 0,0,1,1,1,1,1,1,1,1 0,1,0,1,1,1,1,1,1,1 #B8 0,1,1,1,1,1,1,1,1,1 3. Survival Pick out the survival conditions you don't want, and put it ...

... lifes generated through iterations. So I know I'm missing something. Survival conditions for cells are predicated on the neighbors that exist before the birth conditions ...

... reframed: – A Life-like CA is defined by the presence of some birth/survival conditions and the absense of others. – Any pattern (spaceship, oscillator, etc.) in a Life-like ...

... though. There's a minor combinatorial explosion if you have birth and survival conditions with lots of different neighbor counts, instead of just the three conditions for ...

... is surrounded by 8 non-dead cells, and does not participate in birth or survival (think the "blocker" state from extendedlife). Both states die under the same conditions: when it is surrounded by 8 non-dead cells. Red turns into a regular alive cell, ...

... approximately B34/S23, possibly with some additional higher-end birth/survival conditions (B7, B8, S7, S8), have the interesting trait that they allow still lifes — but only ...

... any one cell in the structure can get is 5, which is one of the survival conditions set by the rule. Now as long as cells in the 9 region remains relatively clear, ...

... following. 1. Treat cells 0 and 2 as off and 1 and 3 as on. 2. Under survival conditions of the original table, 1 -> 3 and 3 -> 2. 3. Under birth conditions of the original ...

The idea is like the Bx2 rules, but the conditions for dead->pre-birth and pre-birth->live state changes can be different. ... to formation before birth - dead->pre-birth), Birth (pre-birth-> live), and Survival (obvious, applies to 'live' only). Here's the first rule I found interesting ...

... interested you. This rule is very nice, but there may be too many survival conditions. As a result, when running a random soup a huge "immortal coral" develops. And since ...

... This rule is very nice, but there may be too many survival conditions. As a result, when running a random soup a huge "immortal coral" develops. And since ...

... that should only be turned on for rules with single monolithic birth or survival conditions (e.g. birth on 3-6 is OK, but not 3-4 and 6-7): if any non-viable over-population ...

For a benchmark, a trivial solution can use three rules alternated and two survival conditions overall:
1) A/S
2) A/S
3) B3/S23

Things probably get harder if using B0 is disallowed.

... having "dying" cells, such that they count as off for the purposes of survival/birth counts, but will only become vacuum after a delay. There are ... of live cells is determined only according to a single set of 16 B/S conditions. All transitional cells evolve independantly of their environment; ...

... to the definition of λ; it's easy to pick a whole bunch of birth/survival conditions without stumbling on one of these specific ones. Moreover: in 2-state CA, the first ...

... D = "death" is useful for specifying classes of rules with varying survival conditions.) Next post: calculations.

... rule to function. Though it would be IMO more natural to call the death conditions the "rules", since these are what actually changes the pattern in some way, not the survival conditions. Hence, I list these in the order BA/DS. The number of rule conditions ...

... fact that "3" is a birth condition, "0", "1" and "2" are not a birth conditions, and "4" is not a survival condition, so any rule of the form B3(45678)/S(01235678), where numbers in brackets ...

... for cellular automata to explode or not may be influenced by birth or survival conditions. Rules with B1 always explode. B1 rules tend to have quadratic sawteeth, replicators, ...