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  • Category:Rules without death
    {{CatRel|Rules without survival conditions}}
    3 members (0 subcategories, 0 files) - 13:55, 24 October 2023
  • User:Tropylium/LWOD variants
    ==Subtraction of survival conditions== For the five related rules missing any of the first three conditions, it can be proven by induction that many growing patterns will evolve in th
    2 KB (406 words) - 14:10, 10 February 2021
  • Rulespace
    ...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==
    3 KB (509 words) - 22:26, 3 November 2023
  • Vanishing dual
    ...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
    699 bytes (102 words) - 19:20, 17 January 2022
  • Higher-range outer-totalistic rule
    ...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
    3 KB (409 words) - 21:30, 26 August 2024
  • Rulestring
    ...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==
    3 KB (445 words) - 17:50, 30 August 2023
  • User:Tommyaweosme/OCA:Corners 2
    Same as Corners 2 but the survival conditions are just 23. ...m life, but also includes some new still life because of the changed birth conditions.
    1 KB (192 words) - 17:03, 25 June 2024
  • Tame
    ...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
    971 bytes (145 words) - 05:42, 10 August 2022
  • Transition (rule definition)
    ...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).
    7 KB (1,221 words) - 13:20, 7 July 2024
  • Rule:HemiHighLife
    #Birth conditions #Survival conditions. If an on cell touches a different color, it doesn't change state.
    1 KB (74 words) - 22:37, 19 December 2019
  • Endemic
    ...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
    1 KB (164 words) - 03:19, 2 November 2024
  • OCA talk:HighFlock
    ...ding in {{rl|HighFlock}}: the bracketed digits in 'B3(45678)/S12(678)' are conditions, not transitions. E.g. 5 is a birth condition. Writing 'transitions' is inc ...osite each other' etc.<br />A '''transition''' is simply the event (birth, survival, etc.)<br />[[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 10:55,
    3 KB (406 words) - 12:18, 11 December 2023
  • OCA:Serviettes
    [[Category:Rules without survival conditions]]
    2 KB (204 words) - 03:08, 18 August 2024
  • File:OT spaceship map.png
    ...ft half and s8 in the right half). In the bottom-right quadrant, the birth conditions' precedence is inverted again, to make it appear less fragmented.
    (512 × 512 (18 KB)) - 12:01, 27 October 2023
  • Strobing rule
    ...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
    4 KB (665 words) - 17:36, 16 October 2023
  • Rule integer
    ...-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
    3 KB (452 words) - 08:26, 30 March 2023
  • Template:Rule
    * <tt>b</tt>: the rule's birth (B) conditions. * <tt>s</tt>: the rule's survival (S) conditions.
    7 KB (932 words) - 21:35, 25 September 2023
  • User:Haycat2009/Kingdoms of the isotropic realms
    Such rules usually have few or no birth conditions. These rules tend to have many high birth and survival conditions.
    3 KB (460 words) - 02:47, 19 February 2024
  • Dead spark coil
    ...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.
    3 KB (440 words) - 13:25, 28 August 2024
  • Larger than Life
    * <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
    10 KB (1,566 words) - 03:08, 18 January 2024
  • Tutorials/Rules
    ...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
    10 KB (1,623 words) - 02:38, 10 August 2022
  • Self-complementary
    ...complementary rule, the birth conditions completely determine the survival conditions, and vice versa, but no other constraints exist; as such there are {{eq|2{{
    3 KB (459 words) - 18:41, 2 November 2023
  • User:Apple Bottom/Incubator/Swedish notation
    ...arated with commas and grouped along with the respective birth (B''n'') or survival (S''n'') condition: ...Life-like cellular automaton|non-totalistic Life-like cellular automata]], conditions can be negated by prefixing them with a minus sign. For example, a cellular
    3 KB (545 words) - 08:33, 8 January 2022
  • Collision
    ...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
    4 KB (587 words) - 07:17, 28 April 2023
  • OCA:Seeds
    No [[still life]]s can exist in this rule, due to the absence of survival conditions. Known [[oscillator]] [[period]]s include 2, 3, 4, 5,<ref name="post164966" [[Category:Rules without survival conditions]]
    5 KB (744 words) - 09:40, 23 May 2024
  • OCA:B3678/S23
    ...3678/S23. Viewed as the set of neighbour-counting conditions for birth and survival, the rule definition may be seen as the union of {{rl|HighLife}} (B36/S23),
    3 KB (744 words) - 23:42, 19 August 2024
  • User:H. H. P. M. P. Cole/How to make a good isotropic rule
    =Step 1: Know your patterns/reactions and required birth conditions= ...pattern/reaction. To do this, remove the conditions one by one for all the conditions.
    173 KB (56,233 words) - 12:14, 19 June 2024
  • OCA:Replicator
    ...h condition with 9 minus its neighbour count, so only the <tt>9</tt> birth conditions provide degrees of freedom.) ...checkerboard. (The full set is given by the rules whose birth and survival conditions are a member of {the empty set, 1357, 02468, and 012345678}.)
    6 KB (989 words) - 01:35, 29 January 2024
  • Rulegolfing
    ...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
    5 KB (692 words) - 15:21, 6 July 2024
  • Tutorials/Creating custom rules
    ...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
    7 KB (1,189 words) - 21:27, 23 July 2024
  • Generations
    ...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>).
    6 KB (791 words) - 06:27, 16 August 2024
  • OCA:Vote
    ...a dead center cell, so there are at most 8 alive neighbour cells; survival conditions assume an alive center cell, so there is one less alive neighbour cell requ ...that has 4 and 5 swapped. Its totalistic rulestring is 46789 and its birth/survival notation is B4678/S35678.
    11 KB (3,071 words) - 07:42, 18 December 2023
  • Talk:Cellular automaton
    :Subtracting any of the higher survival conditions (S5678) from Stains has the same effect as well: chaos becomes more resilie
    4 KB (690 words) - 06:01, 16 August 2021
  • IceNine
    #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
    4 KB (671 words) - 09:29, 6 May 2024
  • OCA:2×2
    ...ans that the birth condition for cells with four neighbours must equal the survival condition for cells with four neighbours. There are {{eq|2<sup>12</sup>|409 ...val condition, and 3 is not a survival condition and 1 and 2 are not birth conditions.
    18 KB (2,357 words) - 16:49, 27 September 2024
  • Totalistic Life-like cellular automaton
    ...T rules is the [[Larger than Life]] rulespace, in which birth and survival conditions must all be subsequent.
    6 KB (772 words) - 01:16, 29 April 2024
  • OCA talk:Tlife
    ..."], [https://conwaylife.com/forums/search.php?keywords=survival+condition "survival condition"], [https://conwaylife.com/forums/search.php?keywords=death+condi ...to 8 alive neighbours in each case). In general the set of distinguishable conditions depends on the specific way to define/specify a rule from some rulespace. [
    19 KB (3,148 words) - 14:38, 13 July 2024
  • P1 megacell
    ...totalistic rule]]s &mdash; either isotropic non-totalistic (birth/survival conditions are based on the relative positions of neighbor cells, but the behavior of
    6 KB (948 words) - 20:06, 13 February 2022
  • OCA:H-trees
    * {{rl|Life without death}}, a rule with similar survival conditions
    6 KB (868 words) - 07:27, 18 December 2023
  • Talk:Spaceship
    ::::If my previous proof is correct, this may be strengthened to separate conditions for spaceships ...to (B2, S6, S7 and not B1) and (B1, B2, S7 and no S6). The high-neighbour survival transitions matter not, so this is equivalent to the statement that if B2 i
    19 KB (3,342 words) - 18:31, 14 August 2024
  • OCA:Brian's Brain
    [[Category:Rules without survival conditions]]
    6 KB (890 words) - 07:25, 18 December 2023
  • User:DroneBetter/self-complementary outer-totalistic rules
    Conditions are iterated over in a Gray code in both axes, but only rows and columns wi ...their supported self-complementary rules' birth conditions (from which the survival ones may be uniquely determined), with optional transitions in brackets
    36 KB (6,131 words) - 15:23, 29 October 2023
  • OCA:Life without death
    * {{rl|H-trees}}, a rule with similar survival conditions
    9 KB (1,317 words) - 03:09, 18 August 2024
  • LifeViewer/Scripts
    <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>
    32 KB (4,659 words) - 06:51, 27 August 2024
  • Tutorials/Coding Life simulators/bitwise SWAR Life
    * 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
    45 KB (6,942 words) - 13:01, 4 September 2023
  • Spaceship
    ...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
    36 KB (5,177 words) - 12:22, 13 September 2024
  • Problem
    ...e maximal density is <tt>&le; {{frac|1|2}}</tt> in all rules with survival conditions constrained to a subset of S0123.
    17 KB (2,157 words) - 12:56, 21 April 2024
  • OCA:Pseudo Life
    Viewed as the set of neighbour-counting conditions for birth and survival, the rule definition may be seen as the union of {{rl|Grounded Life}} (B35/
    21 KB (3,617 words) - 20:03, 30 December 2023
  • Tutorials/LLS
    * <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
    22 KB (3,127 words) - 13:31, 25 March 2024
  • OCA:Logic Rule
    [[Category:Rules without survival conditions]]
    33 KB (4,433 words) - 23:38, 21 January 2024

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