LifeWiki - User contributions [en]

68P32

2017-10-19T23:14:11Z

Drc:

{{Oscillator
|name = 68P32.1
|pname = 68p321
|c = 68
|bx = 23
|by = 23
|p = 32
|h = 60.5
|v = 1.00
|sv = 0.92
|discoverer = Matthias Merzenich
|discoveryear = 2010
|rulemin = B3/S23
|rulemax = B378/S2378
|synthesis = 24
|rle = true
|synthesisRLE = true
|animated = yes
|apgcode = xp32_04b3cy5c3b4z4b952y5259b4z2d9a4y54a9d2z02dc3y53cd2
}}
'''68P32.1''' is an unnamed [[:Category:Oscillators with period 32|period-32]] [[oscillator]] found by [[Matthias Merzenich]] on January 1, 2010. It is the second smallest period-32 oscillator known after [[Gourmet]]. It appeared in the ash of a D4_+1 [[soup]] on March 27, 2016, as part of a haul submitted to [[Adam P. Goucher]]'s [[Catagolue]].<ref name="applebottom_20160327" />

==Synthesis==
[[Jason Summers]] and [[Matthias Merzenich]] found a 37-glider synthesis of 68P32.1. [[Chris Cain]] used the oscillator's first occurrence on [[Catagolue]] to create a 32-glider synthesis on March 27 2016<ref name="chris_c_20160327_1" />, which he improved to 24 gliders on the same day.<ref name="chris_c_20160327_2" />

==References==
<references>
<ref name="applebottom_20160327">{{cite web
|url = https://catagolue.appspot.com/haul/b3s23/D4_+1/0e0fa5e639e015e289ad6bda5ca26c33|
|title = Haul 0e0fa5e639e015e289ad6bda5ca26c33|
|author = Apple Bottom
|date = 2016-03-27
|accessdate = 2016-03-27
|work = [[Catagolue]]
}}</ref>
<ref name="chris_c_20160327_1">{{cite web
|url = http://conwaylife.com/forums/viewtopic.php?p=29355#p29355
|title = Re: Synthesising Oscillators
|author = Chris Cain
|date = 2016-03-27
|accessdate = 2017-02-04
|work = ConwayLife.com forums
}}</ref>
<ref name="chris_c_20160327_2">{{cite web
|url = http://conwaylife.com/forums/viewtopic.php?p=29398#p29398
|title = Re: Synthesising Oscillators
|author = Chris Cain
|date = 2016-03-27
|accessdate = 2017-02-04
|work = ConwayLife.com forums
}}</ref>
</references>

== External links ==
{{LinkCatagolue|xp32_04b3cy5c3b4z4b952y5259b4z2d9a4y54a9d2z02dc3y53cd2}}
{{LinkNiemiec|period.htm#p32|patternname=Life Oscillators by Period: 1 Period-32 oscillator}}

{{Symmetry|orthogonal4|osc=flip}}

User:Drc/2

2017-09-19T23:28:26Z

Drc: Drc moved page User:Drc/2 to User:Drc/3

#REDIRECT [[User:Drc/3]]

User:Drc/3

2017-09-19T23:28:26Z

Drc: Drc moved page User:Drc/2 to User:Drc/3

test

User:Drc/1

2017-09-19T23:28:15Z

Drc: Drc moved page User:Drc/1 to User:Drc/2

#REDIRECT [[User:Drc/2]]

User:Drc/3

2017-09-19T23:28:15Z

Drc: Drc moved page User:Drc/1 to User:Drc/2

test

User:Drc/3

2017-09-19T23:28:04Z

Drc: Created page with "test"

test

Gabriel's p138

2017-08-26T19:52:19Z

Drc:

{{Oscillator
|name = Gabriel's p138
|pname = gabrielsp138
|c = 36
|bx = 33
|by = 33
|p = 138
|h = 57.7
|v = 1.00
|discoverer = Gabriel Nivasch
|discoveryear = 2002
|rulemin = B3/S23
|rulemax = B38/S23
|rulespecial = [[Conway's Game of Life|Conway Life]]
|synthesis = 12
|synthesisRLE = true
|life105 = true
|life106 = true
|plaintext = true
|rle = true
|animated = true
|viewerconfig = #C [[ LOOP 138 GPS 23 THUMBSIZE 3 ZOOM 16 WIDTH 640 HEIGHT 640 ]]
|apgcode = xp138_w8gw259r84z79431y1go4iszx42rik8w12
}}
'''Gabriel's p138''' is a [[period]] [[:Category:oscillators with period 138|138]] [[oscillator]] discovered by [[Gabriel Nivasch]] on October 13, [[:Category:patterns found in 2002|2002]]. In terms of its [[:Category:patterns with 36 cells|36]] [[cell]]s, it is, by far, the smallest known period 138 oscillator.<ref>{{CiteSummersPattern|name=all-osc}}</ref> Within a month of its discovery, [[Jason Summers]] found a [[:Category:patterns that can be constructed with 12 gliders|12]]-[[glider]] [[glider synthesis|synthesis]] for this oscillator.<ref>{{CiteSummersPattern|name=jslife}}</ref>

[[File:Gabrielsp138onblocks.png|frame|center|A variant of Gabriel's p138 with blocks. [[:File:Gabrielsp138onblocks.gif|View animated image]].]]

==See also==
* [[Achim's p16]]

==References==
<references/>

==External links==
{{LinkLexicon|lex_g.htm#gabrielsp138}}
{{LinkCatagolue|xp138_w8gw259r84z79431y1go4iszx42rik8w12}}
{{LinkCatagolue|xp138_y133y1gggzy77403y833zy0gggya6iiszy03446zccy8sgiezyicc|patternname=Gabriel's p138 on blocks}}

{{Symmetry|90degree|osc=flip}}

Why bother

2016-07-23T22:52:18Z

Drc: Typo

{{Oscillator
|name = Two cis griddles w/ two tubs
|pname = twocisgriddleswtwotubs
|c = 16
|bx = 8
|by = 7
|p = 2
|m = 1
|h = 0.75
|v = 0.45
|rulemin = B3/S23
|rulemax = B3678/S2345678
|rulespecial = [[Conway's Game of Life|Conway Life]]
|synthesis = 27
|nofile = true
|viewerconfig = #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
}}
'''Two cis griddles w/ two tubs''' is a [[period]] [[:Category:Oscillators with period 2|2]] [[oscillator]] that is extremely similar to [[why not]].

Spaghetti monster

2016-06-12T03:50:10Z

Drc:

{{Spaceship|name=702P7H3V0|pname=702p7h3v0|dir=Orthogonal|p=7|h=680|s=3c/7|c=702|bx=27|by=137|discoverer=Tim Coe|discoveryear=2016|nofile=true|animated=true|rulemin=B3/S23|rulemax=B3/S23|rulespecial=[[Conway's Game of Life|Conway Life]]}}
702P7H3V0 is a [[3c/7 orthogonal]] spaceship discovered by [[Tim Coe]] on 11 June 2016.<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&t=2031&start=50#p31863|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=2016-06-11|accessdate=2016-06-11|work=ConwayLife.com forums}}</ref> It is the first spaceship of that speed to be discovered.

==References ==
<references />

Copperhead

2016-03-05T15:14:03Z

Drc:

{{Spaceship|name=Copperhead|pname=loafer|dir=Orthogonal|p=10|s=c/10|c=28|bx=10|by=13|h=Unknown|discoverer=zdr|discoveryear=2016|rulespecial=[[Conway's Game of Life|Conway Life]]}}

'''Copperhead''' is a [[c/10 orthogonal]] spaceship discovered by zdr on March 5, 2016.<ref>http://www.conwaylife.com/forums/viewtopic.php?f=2&t=2057</ref> No official name has been given to this ship and ''Copperhead'' is only a suggestion.<ref>http://www.conwaylife.com/forums/viewtopic.php?f=2&t=2057&p=27995#p27995</ref>

[[File:Copperhead.png]]

<references />

C/10 orthogonal

2016-03-05T15:09:38Z

Drc:

{{speed|speed=c/10 orthogonal|ss=yes|gun=likely}}
'''c/10 orthogonal''' is an orthogonal [[speed]] that is equivalent to one tenth of the [[speed of light]].

==Spaceships==
On March 5, [[:Category:patterns found in 2016|2016]] [[zdr]] discovered the first c/10 orthogonal [[spaceship]], [[copperhead]]. This is currently the only known spaceship of this speed.

==See also==
*[[:Category:speeds|List of important speeds]]

C/10 orthogonal

2016-03-05T15:09:17Z

Drc: /* Spaceships */

{{speed|speed=c/10 orthogonal|ss=yes|gun=likely}}
'''c/10 orthogonal''' is an orthogonal [[speed]] that is equivalent to one tenth of the [[speed of light]].

==Spaceships==
On March 5, [[:Category:patterns found in 2016|2016]] [[zdr]] discovered the first c/10 orthogonal [[spaceship]], [[copperhead]]. This is currently the only known spaceship of this speed.

[[File:copperhead.png|500px]]

==See also==
*[[:Category:speeds|List of important speeds]]

File:Copperhead.png

2016-03-05T15:08:56Z

Drc: better version

OCA:HighLife

2016-01-17T00:46:01Z

Drc:

{{Rule|name=HighLife|imgname=highlife|s=23|b=36|char=Chaotic|animated=true}}
'''HighLife''' is a [[cellular automaton#Well-known Life-like cellular automata|Life-like cellular automaton]] in which [[cell]]s survive from one generation to the next if they have 2 or 3 [[neighbours]], and are born if they have 3 or 6 neighbours. It was named by [[:Category:Patterns found by John Conway|John Conway]] and was first considered in 1994 by Nathan Thompson. It is mainly of interest due to a simple [[replicator]] that it allows.

Because its [[rulestring]] is so similar to that of [[Conway's Game of Life]], many simple patterns exhibit the same behavior in both rules; it's only when patterns get complex that their behavior differs. Nonetheless, it exhibits such rich structure that [[:Category:Patterns found by John Conway|John Conway]] himself stated

<blockquote>''"It seems to me that 'B36/S23' is really the game I should have found, since it's so rich in nice things."'' <ref>[http://www.tip.net.au/~dbell/articles/HighLife.zip HighLife - An Interesting Variant of Life] by David Bell (.zip file)</ref></blockquote>

==Notable patterns==
All of the most common [[still life]]s, [[oscillator]]s and [[spaceship]]s from the standard Life rules behave the exact same under the HighLife rules, including the [[block]], [[beehive]], [[blinker]], [[toad]], [[beacon]], [[glider]], [[lightweight spaceship]], [[middleweight spaceship]], and [[heavyweight spaceship]]. On the other hand, even though [[traffic light]]s and [[honey farm]]s themselves behave the same in both rules, they do not occur naturally in HighLife with any sort of regularity due to their common [[predecessor]]s being unstable.

===The replicator===
By far the most notable pattern in HighLife is the simple [[replicator]], shown to the right. It is by far the most well-known replicator in any [[Life-like cellular automaton]]. It repeatedly copies itself along a diagonal line. It copies itself the first time after 12 [[generation]]s, then produces another two copies after another 24 generations, followed by another four copies after another 48 generations, and so on. In general there are 2n copies of the replicator at generation 12(2n - 1) and their centers are evenly spaced 4 cells apart. The two ends of the replicator line expand at a [[speed]] of c/6.

Because of the way the replicator duplicates itself, it can be considered a [[sawtooth]] with expansion factor 2 and a minimum repeating population of 22. Because the replicator is so small, it often occurs naturally from [[soup]]. This contrasts with the standard Game of Life, where all known sawtooths are complex, precisely-engineered patterns.

{| style="margin-left:auto;margin-right:auto;"
|-
|[[Image:replicator_predecessor.png|framed|right|A 3-generation predecessor of the replicator {{JavaRLE|replicatorpredecessor|brief}}]]
|[[Image:replicator.png|framed|right|The replicator itself {{JavaRLE|replicator|brief}}]]
|[[Image:replicator_gen12.png|framed|right|The replicator after 12 generations]]
|[[Image:replicator_gen36.png|framed|right|The replicator after another 24 generations]]
|}

===Still lifes===
Because the only difference between the HighLife rules and the standard Life rules is that there is another way for cells to be born (when they have exactly six alive [[Moore neighbourhood|neighbours]]), all [[still life]]s in the HighLife rule are necessarily still lifes under Conway's rules as well. Also, very few still lifes under the standard Life rules have dead cells with six alive neighbours, so the list of still lifes for the two rules are almost identical for small cell counts. The smallest patterns that are still lifes in the standard Life rules but not in HighLife are [[ship]] (with [[:Category:Strict still lifes with 6 cells|6]] cells) and [[hat]] (with [[:Category:Strict still lifes with 9 cells|9]] cells). Also, any pattern involving a [[bun]] or a [[cap]] that is a still life under the standard rules is not a still life in HighLife.

{| class="wikitable" style="margin-left:auto;margin-right:auto;"
|-
! Size
! Count
! Image
! Links
|-
| ≤3
| 0
|
|
|-
| 4
| 2
| [[Image:highlife4cellstilllifes.png]]
| {{JavaRLE|highlife4cellstilllifes}}
|-
| 5
| 1
| [[Image:highlife5cellstilllifes.png]]
| {{JavaRLE|highlife5cellstilllifes}}
|-
| 6
| 4
| [[Image:highlife6cellstilllifes.png]]
| {{JavaRLE|highlife6cellstilllifes}}
|-
| 7
| 4
| [[Image:highlife7cellstilllifes.png]]
| {{JavaRLE|highlife7cellstilllifes}}
|-
| 8
| 9
| [[Image:highlife8cellstilllifes.png]]
| {{JavaRLE|highlife8cellstilllifes}}
|-
| 9
| 9
| [[Image:highlife9cellstilllifes.png]]
| {{JavaRLE|highlife9cellstilllifes}}
|-
| 10
| 25
| [[Image:highlife10cellstilllifes.png]]
| {{JavaRLE|highlife10cellstilllifes}}
|-
| 11
| 44
| [[Image:highlife11cellstilllifes.png]]
| {{JavaRLE|highlife11cellstilllifes}}
|-
| 12
| 111
| [[Image:highlife12cellstilllifes.png]]
| {{JavaRLE|highlife12cellstilllifes}}
|-
| 13
| 218
| [[Image:highlife13cellstilllifes.png]]
| {{JavaRLE|highlife13cellstilllifes}}
|}

===Change in Frequency===
From the same random starting conditions, HighLife usually settles into fewer objects than in [[Conway's Game of Life|Life]]. This chart shows the change in frequency of common or notable objects in Life and in HighLife. In the chart, objects are ranked by their formation density (the number of objects per cell of empty space) rather than total frequency out of all objects. This is because the frequency of total objects also changes between Life and HighLife.

{| class="wikitable" style="margin-left:auto;margin-right:auto;"
|-
! Object
! Density in HighLife
! Density in Life
! Change in Density
! Notes
|-
| All Objects
| 4.30×10-3
| 6.64×10-3
| -35%
| The overall decrease of objects and increase of sparks causes HighLife to stabilize over twice as fast on average.
|-
| [[Block]]
| 1.83×10-3
| 2.11×10-3
| -13%
| Although the block is less common in HighLife, it is still the most common object.
|-
| [[Beehive]]
| 7.46×10-4
| 1.25×10-3
| -40%
| Beehives are also less common, but more common than the blinker.
|-
| [[Blinker]]
| 6.88×10-4
| 2.15×10-3
| -68%
| Blinkers are much less common, since the [[t-tetromino]] and related patterns evolves in HighLife into a large [[spark]] (see the '''bomber''' below), rather than [[traffic light]].
|-
| [[Loaf]]
| 4.19×10-4
| 3.89×10-4
| +8%
| Loaves are slightly more common in HighLife, but still far behind the beehive.
|-
| [[Boat]]
| 4.14×10-4
| 3.58×10-4
| +16%
| In HighLife, a [[hat]], as well as other predecessors, will evolve into a very common formation of four boats.
|-
| [[Tub]]
| 9.73×10-5
| 8.00×10-5
| +21%
| Tubs experience a 21% increase - the largest of the top ten most common objects.
|-
| [[Pond]]
| 3.49×10-5
| 7.53×10-5
| -54%
| Ponds, which are almost as common as tubs in Life, are almost three times rarer than tubs in HighLife. Life's four-cell [[Pond#prepond|Prepond]] dies out in HighLife.
|-
| [[Aircraft carrier]]
| 1.30×10-5
| 5.00×10-7
| +2516%
| They're 26 times more common. A common heptaplet [[Image:Pi1.png]] evolves into two aircraft carriers and a blinker (in Life it is a parent of the [[pi heptomino]] sequence).
|-
| [[Elevener]]
| 2.50×10-7
| 4.55×10-9
| +5395%
| Eleveners appear 55 times as often in HighLife, because of a predecessor involving a [[pi-heptomino]] and a [[blinker]].
|-
| [[Ship]]
| 0
| 4.92×10-5
| -100%
| The center cell of a ship has six living neighbors and is born in HighLife. This birth causes it all to die.
|}

===Spaceships===
All of the [[standard spacehip]]s from the standard Life rules work in HighLife, but the only non-standard spaceships that are known to work in HighLife are the [[turtle]], [[117P9H3V0|86P9H3V0]], and some [[flotilla]]e of the standard spaceships. There are also several known spaceships that are specific to HighLife<ref>{{cite web|url=http://fano.ics.uci.edu/ca/rules/b36s23/ |title=HighLife (B36/S23) |publisher=David Eppstein|accessdate=April 15, 2009}}</ref>, the most well-known of which is the bomber.

====Bomber====
{{disambiglink|name=bomber|link=Bomber|text=For other uses of the term}}
The '''bomber''' is a replicator-based spaceship that occurs naturally and was discovered by Nathan Thompson. It can be formed by placing a [[blinker]] in the path of the replicator as shown below. The spaceship itself has a [[period]] 48 and travels diagonally at [[speed]] c/6. The blinker reacts with one of the spawned replicators such that it destroys itself and the spawned replicator while leaving another blinker on the other side of the spaceship. It is thus a [[glide symmetric spaceship]] with [[mod]] equal to 24.

{| style="margin-left:auto;margin-right:auto;"
|-
|[[Image:Bomber_predecessor.png|framed|left|A predecessor of the bomber {{JavaRLE|bomberpredecessor|brief}}]]
|[[Image:Bomber.gif|framed|left|The bomber itself]]
|}

==References==
<references />

Backrake 2

2015-12-24T22:09:27Z

Drc:

{{Puffer|type=Rake|p=12|name=Backrake 2|dir=Orthogonal|bx=19|by=26|pname=backrake2|s=c/2|c=65|discoverer=David Buckingham|life105=true|life106=true|plaintext=true|rle=true|animated=true}}
'''Backrake 2''' is a [[period]] 12 [[backrake]] that was created by [[David Buckingham]]. It works by having a front [[puffer]] made up of two [[lightweight spaceship]]s, a [[middleweight spaceship]], and a [[B-heptomino]] (much like [[puffer 2]]) send debris back to another lightweight and middleweight spaceship, which turn the debris into a backward-moving [[glider]].

Three copies of this backrake feature in [[total aperiodic]].

Anvil

2015-12-24T21:57:57Z

Drc:

{{Pattern|type=Induction coil|name=Anvil|pname=anvil|bx=7|by=4|c=13|life105=true|life106=true|plaintext=true|rle=true}}
'''Anvil''' is an [[induction coil]]. After 42 generations, it eventually stabilizes into a period 2 [[blinker]] and a [[block]]

==External links==
[http://www.argentum.freeserve.co.uk/lex_a.htm#anvil Anvil] at the Life Lexicon
[http://www.ericweisstein.com/encyclopedias/life/Anvil.html Anvil] at Eric Weisstein's Treasure Trove of Life
{{stub}}