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...include only rules with certain attributes, e.g. certain birth or survival conditions; the exact rules included may vary in different contexts. For example, "B3 ==Excluded conditions==

...the original rule's [[birth]] conditions remain the same, but [[survival]] conditions are negated. For example, the vanishing dual of B3/S23 ([[Conway's Game of

...ive, the survival conditions are followed; If the cell is empty, the birth conditions are followed. Like LtL, It also supports higher range [[Generations]] rules

...m of a string. Two notations are in use for [[Life-like rule]]s: the birth/survival notation and S/B notation. ==Birth/survival notation==

...ive rules. To '''tame a rule''' is to modify the rule's birth and survival conditions so that the resulting rule is less explosive, while keeping certain desirab

...pecify the same range of neighbor-count conditions, plus the "S" action, ''survival''. ...three neighbors), "S2" (survival when there are two neighbors), and "S3" (survival when there are three neighbors).

...nly exist in that rule, i.e. if no change in the rule's birth and survival conditions supports the object.<ref name="post52952" /> The term is understood to be r

...the same way as its black/white reversal, except that its original B and S conditions are not negated. ...g isotropic non-totalistic rules written in [[Hensel notation]], B4 and S4 conditions are not only subtracted from 8 (which would map them to themselves), but mu

...-like rule]] is a single integer expressing its [[birth]] and [[survival]] conditions. The rule integer is computed by iterating over all B and S conditions, in order, writing down a one if a condition is present and a zero otherwis

...sible in Life (B3/S23) since birth conditions are a subset of the survival conditions, so any rotor cell must be adjacent to another rotor cell.

* <tt>Ss</tt> specifies the survival conditions, which are numbers separated by commas. Ranges of consecutive numbers can b * <tt>Bb</tt> specifies the birth conditions, which are numbers separated by commas. Ranges of consecutive numbers can b

...r-totalistic]] rules''' are defined in terms of [[birth]] and [[survival]] conditions: the circumstances under which dead cells get born, and live cells survive. | align="center" colspan="2" style="max-width: 25em;" | Cell survival in Life: if the cells in purple are live, the center cell will survive in t

...complementary rule, the birth conditions completely determine the survival conditions, and vice versa, but no other constraints exist; as such there are {{eq|2{{

...h conditions in B2ikn3cekqry4aceijknqtwyz5aceijkqry678 and all of survival conditions in S02cikn3aceikqy4aceijnqrtwyz5678 are optional). ...of two-glider collisions in a rule depends on presence of certain of these conditions (B2i, B2k, B2n); below are shown examples of collisions that are not collis

...efinition (such as adding a certain birth condition, or removing a certain survival condition, or adding/removing a line in a [[rule table]]) may have very dif

...death. With this method, we don't need to actually write out any line the survival transitions S2 or S3, because the cell does not change state in those cases ...on that it finds, reading the table from top to bottom -- so if one of the survival transition lines turns out to match, then the "catch-all" transition at the

...e 1 ("live") in its [[Moore neighbourhood]] is present in the rule's birth conditions (<tt>Bx</tt>). ...ate 1 ("live") in its Moore neighborhood is present in the rule's survival conditions (<tt>Sx</tt>).

#C for which no external conditions have yet been found ...tterly improbable properties. Basically it's the spacefiller that wins the Survival of the Fittest Award in an infinite Life universe, and it's about as likely

...T rules is the [[Larger than Life]] rulespace, in which birth and survival conditions must all be subsequent.

...totalistic rule]]s &mdash; either isotropic non-totalistic (birth/survival conditions are based on the relative positions of neighbor cells, but the behavior of

<td>&nbsp;&nbsp;&nbsp;ALL</td><td>all conditions</td></tr><tr> <td>&nbsp;&nbsp;&nbsp;B</td><td>all birth conditions</td></tr><tr>

* dualRule is the rule split into birth and survival conditions. ...ose with three neighbours are on irrespective of their initial state, 4 is survival-only so is ANDed with the initial state first, and if there were to be a bi

...irth conditions iterate in binary over the x axis (the right half has B0), survival in the y axis (the bottom half has S8). Outside of the bottom-left quadrant ...ipedia|Gray_code|name=Gray code|nobullet=no|nosuffix=no}} over the x axis, survival in the y axis. Green rules have known explicit examples of spaceships withi

...e maximal density is <tt>&le; {{frac|1|2}}</tt> in all rules with survival conditions constrained to a subset of S0123.

* <tt>-r pB1-c2345678/S012345678</tt>: tells LLS what birth/survival conditions we'll allow in our target rules. In <tt>pB1-c2345678/S012345678</tt>, the l