Search results

...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 * <tt>Bb</tt> specifies the counts for a dead cell to become a birth.

...he form 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

...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

...ition that a cell has exactly two living neighbors, plus the "B" action, ''birth''. If a cell is following a rule that includes the B2 transition, then the The nine "S" transitions specify the same range of neighbor-count conditions, plus the "S" action, ''survival''.

...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.

..._max</tt> specifies the count limits for a dead cell to become a birth. * <tt>Ss</tt> specifies the survival conditions, which are numbers separated by commas. Ranges of consecutive numbers can b

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

...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 birth in Life: if the cells in purple are live, the center cell will be born in t

...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

...given "syntactic" change in the rule definition (such as adding a certain birth condition, or removing a certain survival condition, or adding/removing a l

...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>).

...ular automaton to be either class two or class one is the absence of birth conditions capable of extending the pattern's [[bounding box]]: B0, B1, B2 or B3. Beyo

...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

In order to preserve orthogonal gutter symmetry, the birth conditions B0, B2c, B2i, B4i, B4c and B6i must be absent. In order to preserve orthogonal skewgutter symmetry, the birth conditions B0, B1c, B2k, B2n, B3n, B3y, B4y, B4z, B5r and B6i must be absent.

...ist of neighbors and still get a match. Using 'none' symmetry, if you want birth at 4 neighbours, you will have to write out every single possible arrangeme ...ommon way to achieve the same effect is to write out just the two survival conditions, and add a [[Transition_(rule_definition)#Order_matters|"catch-all" transit

<td>COLOR GRAPHBIRTH R G B</td><td>set graph birth color</td></tr><tr> <td>&nbsp;&nbsp;&nbsp;ALL</td><td>all conditions</td></tr><tr>

* dualRule is the rule split into birth and survival conditions. ...l-only so is ANDed with the initial state first, and if there were to be a birth-only one, it would be ANDed with the initial state's NOT first. When there

...e:OT_map_(non-Gray).png|thumb|right|A map of outer-totalistic rules. Birth conditions iterate in binary over the x axis (the right half has B0), survival in the ...le:OT_spaceship_map.png|thumb|right|A map of outer-totalistic rules. Birth conditions iterate in a {{LinkWikipedia|Gray_code|name=Gray code|nobullet=no|nosuffix=

* <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

'o's make an object, because they cause a birth the birth will not occur. Therefore this is an object.