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• 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
• Talk:List of rules investigated on Catagolue/HROT
  == Make rules actually display birth conditions directly ==
  237 bytes (32 words) - 18:43, 14 August 2024
• 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 * <tt>Bb</tt> specifies the counts for a dead cell to become a birth.
  3 KB (409 words) - 21:30, 26 August 2024
• Rulestring
  ...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==
  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
• OCA talk:HighFlock
  ...igits in 'B3(45678)/S12(678)' are conditions, not transitions. E.g. 5 is a birth condition. Writing 'transitions' is incorrect here. [[User:Confocal|Confoca ...urs opposite each other' etc.<br />A '''transition''' is simply the event (birth, survival, etc.)<br />[[User:Confocal|Confocal]] ([[User talk:Confocal|talk
  3 KB (406 words) - 12:18, 11 December 2023

• 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

• 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
• 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
• User:Tropylium/TI engine
  ...of three live cells occuring along the edge of its bounding box will give birth to a new cell outside it. ...ls outside the boundary… or more generally, a line of ''n+2'' cells giving birth to ''n'' cells outside the boundary, for any ''n'' ∈ ℕ. Hence we can at
  8 KB (1,225 words) - 12:05, 10 February 2021
• 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
• User:0-engine Cordership/OCA:B2in3-q4w/S23
  Due to added birth conditions and subtracting, not all [[still lifes]] works in both B2in3-q4w/S23 and Li
  1 KB (194 words) - 02:06, 4 February 2024
• 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
• 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
• User:Tommyaweosme/crazy mazey
  ...want straight corridors to keep growing, so i want to add 1e to the birth conditions
  1 KB (210 words) - 14:51, 27 February 2024
• 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
• 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
• Transition (rule definition)
  ...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''.
  7 KB (1,221 words) - 13:20, 7 July 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
  ..._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
  10 KB (1,566 words) - 03:08, 18 January 2024
• 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
• 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 birth in Life: if the cells in purple are live, the center cell will be born in t
  10 KB (1,623 words) - 02:38, 10 August 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: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
• User:Apple Bottom/Incubator/Swedish notation
  ...live cells are separated 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
• OCA:B3678/S23
  ...lestring B3678/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
  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
• Rulegolfing
  ...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
  5 KB (692 words) - 15:21, 6 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 ...tterns in Vote stabilize quickly into amorphous aggregates; as there is no birth on less than 5 alive neighbours, no pattern is capable of escaping its init
  11 KB (3,071 words) - 07:42, 18 December 2023
• OCA talk:Tlife
  ...ition is a part of a rule definition, e.g. specific neighbourhood ("B6" = "birth when there are 6 alive neighbours" is a condition).<br />Then my edit was [ ...earch: [https://conwaylife.com/forums/search.php?keywords=birth+condition "birth condition"], [https://conwaylife.com/forums/search.php?keywords=survival+co
  19 KB (3,148 words) - 14:38, 13 July 2024
• Talk:Cellular automaton
  Coagulations has one less birth condition than Stains, yet Coagulations explodes and Stains is stable. Can :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
• Wolfram's classification
  ...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
  5 KB (748 words) - 18:59, 6 September 2024
• OCA:2×2
  ...}, {{eq|B1c|B2a|S3a}}, where the first equation for example means that the birth condition for cells with four neighbours must equal the survival condition ...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
• 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
• Minor static symmetry
  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.
  25 KB (6,131 words) - 21:44, 8 August 2024
• OCA:Brian's Brain
  ...ey advance to a third state, not considered "live" for the purpose of cell birth, before dying. The rule was first considered by [[Brian Silverman]] in the [[Category:Rules without survival conditions]]
  6 KB (890 words) - 07:25, 18 December 2023
• Tutorials/Creating custom rules
  ...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
  7 KB (1,189 words) - 21:27, 23 July 2024
• User:DroneBetter/self-complementary outer-totalistic rules
  Conditions are iterated over in a Gray code in both axes, but only rows and columns wi They are denoted by their supported self-complementary rules' birth conditions (from which the survival ones may be uniquely determined), with optional tr
  36 KB (6,131 words) - 15:23, 29 October 2023
• Talk:Spaceship
  ::::If my previous proof is correct, this may be strengthened to separate conditions for spaceships ...¹²</tt> rules, like the other earlier one. Its alternating pair conditions are (S6 and not B1, B2 or S7) and (B1, S7, S6, and not B2). Importantly, B2
  19 KB (3,342 words) - 18:31, 14 August 2024
• LifeViewer/Scripts
  <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>
  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. ...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
  45 KB (6,942 words) - 13:01, 4 September 2023
• Spaceship
  ...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=
  36 KB (5,177 words) - 12:22, 13 September 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
  21 KB (3,617 words) - 20:03, 30 December 2023
• OCA:HighLife
  From the same random starting conditions, HighLife usually settles into fewer objects than in [[Conway's Game of Lif ...ter cell of a ship has six living neighbors and is born in HighLife. This birth causes it all to die.
  22 KB (3,240 words) - 05:53, 17 November 2024
• 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:Grounded Life
  Because Grounded Life adds one birth transition from Life, all still lives in Grounded Life are still lives in C From the same random starting conditions, Grounded Life usually settles into much fewer objects than in Life due to
  36 KB (7,364 words) - 09:33, 30 September 2024

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