LifeWiki - User contributions [en]

User:Danny

2022-03-07T05:34:09Z

Danny:

there's nothing here anymore.

Reflectorless rotating oscillator

2019-02-15T01:46:20Z

Danny: /* Non-totalistic rules */

{{Glossary}}
A '''reflectorless rotating oscillator''' (or '''looping spaceship''') - abbreviated as '''RRO''' - is a pattern that rotates itself after a certain number of [[generation]]s. There is the additional constraint that two non-interacting copies of the pattern could be combined into an [[oscillator]] with a [[period]] equal to exactly half of that of the component oscillators. This is like the [[pi orbital]], but without the stabilisation.

Such patterns have long been proven to exist (see [[universal constructor]]), but none were explicitly constructed in [[Life]] until the arrival of Adam P. Goucher's [[0E0P metacell]]. One of the isotropic-rule RROs listed below can be simulated using a matching arrangement of 0E0P metacells, and the result will closely resemble the chosen RRO. However, 0E0P metacells have an unalterable orientation, so the pattern after N generations never exactly matches a rotated copy of the original until the pattern returns to its original configuration. To rectify this, four disjoint copies of the resulting oscillator, each one quarter-phase apart, can be arranged into a configuration which undergoes a 90-degree rotation every quarter of its period. This still retains the loopability constraint necessary for a classical RRO.

Alternatively, the term may refer to any statorless oscillator that rotates itself after a certain number of generations. The term "statorless rotating oscillator" is sometimes used to refer to these, as opposed to "classical" RROs. [[Blinker]]s or [[monogram]]s could technically be considered to be degenerate rotating oscillators, turning 90 degrees on every half-period. Rotationally symmetric objects such as [[clock II]] (or any oscillator where period = 4*mod, such as [[pinwheel]] and [[sixty-nine]]) are certainly rotating oscillators. However, most such patterns have stator cells, and more importantly they do not fulfill the additional constraint of allowing for two or more non-interacting copies of the rotor, so they are definitely not "loopable" RROs.

Special-purpose true RROs could be constructed using known universal-constructor technology, which would be much simpler and lower population than a single-loop pseudo-RRO or multi-loop true RRO based on 0E0P metacells. A universal constructor-based RRO has no limit on the number of independent patterns that can orbit a single point.

==Other rules==

===Outer-totalistic rules===

There is only one known [[elementary]] reflectorless rotating oscillator in an outer-totalistic [[Life-like cellular automaton]]. It exists in B02348/S0123, and has a period of 272. It is technically not a classical RRO, because two copies combined into a half-period oscillator interact but do not interfere with each other.

<gallery>
File:Xp272 757w9.png|Reflectorless rotating oscillator in B02348/S0123. {{LinkCatagolue|xp272_757w9|rule=b02348s0123|style=brief}} Twofold: {{LinkCatagolue|xp136_w1ee5jzzgzca778|rule=b02348s0123|style=brief}}
</gallery>

===Non-totalistic rules===
Multiple reflecterless rotating oscillators have been found in [[non-totalistic]] rules, especially recently:
* dmqwerty425 discovered a period-420 reflectorless rotating oscillator in B2i34ik7/S23-a4ikn5j7 on Catagolue in November 2016.<ref name="post37225" />
* dani discovered a period-184 reflectorless rotating oscillator in B3/S23-a4i5i6ci in July 2017.<ref name="post46748" />
* Rhombic discovered a period-72 reflectorless rotating oscillator in B2e3-a4a/S1c23-aky in August 2017.<ref name="post48366" />
* Saka discovered a period-68 reflectorless rotating oscillator in B3-n4rtw5i/S23-n4q5i in August 2017.<ref name="post48513" />
* 2718281828 discovered a number of loopable RROs, with 2-, 3-, 4-, 5-, and even 6-fold loopability, in July 2018.<ref name="post62035" />

<gallery>
File:Xp420 59qkxs.png|Reflectorless rotating oscillator in B2i34ik7/S23-a4ikn5j7. {{LinkCatagolue|xp420_59qkxs|rule=b2i34ik7s23-a4ikn5j7|style=brief}}
</gallery>

===Larger than Life===
One reflectorless rotating oscillator has been found in a [[Larger than Life]] rule, discovered by Dean Hickerson with a period of 552. He placed eight copies in a circle, yielding a period-69 oscillator. [[Dave Greene]] noticed that twelve copies can orbit a central point with period 46.<ref name="post43299" />

<gallery>
File:Deanhickersons p552 RRO.png|Dean Hickerson's period-552 reflectorless rotating oscillator in the [[Larger than Life]] rule R7,C0,M1,S65..114,B65..95,NM. {{LinkCatagolue|code=xp552_0gsuvvvvvuszevvv33133vvvezw377777733|rule=r7b65t95s65t114|style=brief}}
File:Deanhickersons p552 RRO 12fold p46.png|Dave Greene's 12-fold, period-46 version of Dean Hickerson's period-552 RRO. apgcode unknown.
</gallery>

==Classification==
A method for classifying RROs by the amount of times they can fit into a single loop in a way that evenly divides the period has been discussed;<ref>http://conwaylife.com/forums/viewtopic.php?f=11&t=2238&p=47086&hilit=rro#p47086</ref> by this logic, patterns such as the p160 oscillator in [[tlife]], the p32 in B378/S23, the p88 in B36ce7c/S23-y, and the natural gun in [[Pedestrian Life]] could be classed as reflectorless rotating oscillators with a ''loopability'' of 1.

==References==
<references>
<ref name="post37225">{{LinkForumThread
|f = 11
|t = 1638
|p = 37225
|title = Soup search results in rules other than Conway's Life
|format = ref
}}</ref>
<ref name="post43299">{{LinkForumThread
|f = 12
|t = 2853
|p = 43299
|title = Abstract Art
|format = ref
}}</ref>
<ref name="post46748">{{LinkForumThread
|f = 7
|t = 2036
|p = 46748
|title = Thread for basic questions
|format = ref
}}</ref>
<ref name="post48366">{{LinkForumThread
|f = 11
|t = 1971
|p = 48366
|title = Miscellaneous Discoveries in Other Cellular Automata
|format = ref
}}</ref>
<ref name="post48513">{{LinkForumThread
|f = 11
|t = 376
|p = 48513
|title = Thread for Your Accidental Discoveries that Aren't in CGOL
|format = ref
}}</ref>
<ref name="post62035">{{LinkForumThread
|f = 11
|t = 3447
|p = 62035
|title = Reflectorless Rotating Oscillators (RRO)
|format = ref
}}</ref>
</references>
==External links==
{{LinkLexicon|lex_r.htm#reflectorlessrotatingoscillator}}
{{LinkForumThread|f=2|t=393|title=Rotary oscillators?}}

__NOTOC__

OCA:Tlife

2019-02-15T01:45:53Z

Danny: let me know if i should quote my name in the first mention

{{Rule
|name = tlife
|imgname = tlife
|char = Chaotic
|b = 3
|s = 2-i34q
}}
'''tlife''' is a [[non-totalistic Life-like cellular automaton]] devised by [[M. I. Wright]] on September 6, 2015. It is very closely related to the much more commonly known rule [[Conway's Game of Life]], differing by only two transitions. It is likely one of the best-studied non-totalistic Life-like cellular automaton in existence.

==Rules==
tlife is identical to Life in all transitions, save for two:

* Cells with two adjacent cells in a straight orthogonal line (as in [[blinker]]) will die (2i), and
* Cells with four adjacent cells (as in the dense phase of [[beacon]]) will survive (4q).

The two differing transitions, illustrated:

000 110
111 -> 0 110 -> 1
000 001

==Patterns==
Although many patterns from Conway Life still function identically in tlife, some do not; for example, the [[blinker]] dies in tlife, and the [[beacon]] (depending on the phase) is or evolves into an 8-cell still life. Conversely, some patterns from tlife work in normal Life, but some do not.

===Spaceships===
{{EmbedViewer|pname=ttetrominotlife|viewerconfig=#C [[ THEME 6 GRID GRIDMAJOR 0 THUMBLAUNCH AUTOSTART GPS 5 THUMBSIZE 2 TRACKLOOP 5 0 1/5 HEIGHT 480 ]]|caption=The [[T-tetromino]].}}
The [[glider]] exists in tlife, and there are two other basic elementary spaceships: a slightly bigger [[c/4 diagonal]] called ''ant'' and a [[c/5 orthogonal]] (the [[T-tetromino]], usually called simply ''T'').<ref name="tmain">{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=22549#p22549|title=tlife (B3/S2-i34q)|author="M. I. Wright"|date=September 13, 2015|accessdate=May 11, 2018}}</ref>
.

Alongside these, other elementary spaceships have been discovered. One such spaceship, which travels at [[c/2 orthogonal]] (period 4), is dubbed the ''disemiMWSS'', referencing the fact it looks like two [[middleweight spaceship]]s interacting with each other; there is also a skewed variant. There is also another c/2 orthogonal spaceship that evolves from a phase of the [[queen bee]], which has several minor variants. Other important spaceships include chains of interacting Ts, a small 2c/6 orthogonal ship, a small-to-medium [[c/4 orthogonal]] ship, and a large 8c/282 orthogonal ship consisting of many copies of a puffer of the same speed.<ref name="ships1">{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=23546#p23546|title=Re: tlife (B3/S2-i34q)|author=[[Arie Paap]] (wildmyron)|date=November 29, 2016|accessdate=May 11, 2018}}</ref><ref name="hypership">{{cite web|url=http://conwaylife.com/forums/viewtopic.php?p=63228#p63228|title=Re: tlife (B3/S2-i34q)|author=[[Luka Okanishi]] (AbhpzTa)|date=September 1, 2018|accessdate=September 23, 2018}}</ref> There exist eaters for the glider, T, and ant, as well as for the queen bee ship and its variants.<ref name="tmain"/>

In all, c/2, [[2c/5 orthogonal|2c/5]], 2c/4, 4c/8, [[c/3 orthogonal|c/3]], 2c/6, c/4, c/5, and 8c/282 orthogonal, as well as c/4 diagonal, spaceships are known to exist, discounting higher-period c/2 technology.<ref name="ships1"/>

The only named spaceship other than the glider known to function in both CGoL and tlife is the [[crab]]; however, several other, unnamed c/4 diagonal spaceships work in both rules.<ref name="cn">[[Citation needed.]]</ref> All known spaceships that function in both B3/S23 and B3/S2-i34q travel at a velocity of (1,1)c/4.

[[File:tlifegatekidp5.png|frame|left|"Gate Kid" (named after its apgcode), or "honeyloaf p5" (its original name), a period 5 oscillator which works in both tlife and tdrylife. {{LinkCatagolue|code=xp5_g8kid52z121|rule=b3s2-i34q|style=brief}} {{LinkCatagolue|code=xp5_g8kid52z121|rule=b37s2-i34q|style=brief}}]]

===Oscillators===

There is a common unloopable (non-classical) period-160 [[reflectorless rotating oscillator]] that often evolves from (what would, in normal Life, be) a [[loaf]] predecessor or a [[honey farm]] predecessor. Multiple copies of this oscillator can be combined to form interesting patterns such as guns, higher-period oscillators, and glider or T duplicators. A single copy can also reflect a glider or T, or convert it into the other.<ref name="tmain"/> There is also a somewhat similar period 33,<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=30352#p30352|title=Re: tlife (B3/S2-i34q)|author=[[Nico Brown]] (glider_rider)|date=April 23, 2016|accessdate=May 12, 2018}}</ref> several p20s based on a failed replicator, a p14 shuttle, a variety of p2 oscillators, small rule-specific period 3, 4, 5, 6, and 8 oscillators,<ref name="tmain"/><ref>{{cite web|url=http://conwaylife.com/forums/viewtopic.php?p=24323#p24323|title=Re: tlife (B3/S2-i34q)|author="Sphenocorona"|date=October 29, 2015|accessdate=May 12, 2018}}</ref> larger billiard tables of all periods up to 10,<ref name="billiards1">{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=54077#p54077|title=Re: tlife (B3/S2-i34q)|author=[[Aidan F. Pierce]] (A for awesome)|date=December 14, 2017|accessdate=May 12, 2018}}</ref><ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=53676#p53676|title=Re: tlife (B3/S2-i34q)|author=[[Aidan F. Pierce]] (A for awesome)|date=December 22, 2017|accessdate=May 12, 2018}}</ref> and an infinitely extensible family of oscillators consisting of replicating signals traveling up and down two diagonal lines of connected blocks.<ref>{{cite web|url=http://conwaylife.com/forums/viewtopic.php?p=27818#p27818|title=Re: tlife (B3/S2-i34q)|author=[[Aidan F. Pierce]] (A for awesome)|date=February 28, 2016|accessdate=May 12, 2018}}</ref> P4, p6, and p8 [[sparker]]s have also been found, allowing p16 T-hassling oscillators and p6N glider loops for certain N > 4 (exactly which N is unexplored, but it is likely to be all N), as well as p96+40N T shuttles for all N.<ref name="billiards1"/><ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=53787#p53787|title=Re: tlife (B3/S2-i34q)|author=[[Aidan F. Pierce]] (A for awesome)|date=December 16, 2017|accessdate=May 12, 2018}}</ref><ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=44057#p44057|title=Re: tlife (B3/S2-i34q)|author=[[Aidan F. Pierce]] (A for awesome)|date=June 4, 2017|accessdate=May 12, 2018}}</ref> Combinations of lower-period oscillators may lead to p12s and p15s; however, no examples have been explicitly constructed.

===Infinite growth===
As mentioned above, multiple copies of the period 160 oscillator can interact to form guns. There exist many guns for the glider and the T consisting of only two copies, as well as two double-barreled T guns.<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=35966#p35966|title=Re: tlife (B3/S2-i34q)|author=[[Aidan F. Pierce]] (A for awesome)|date=September 20, 2016|accessdate=May 12, 2018}}</ref> There is also a gun for the ant consisting of 3 interacting p160 oscillators.<ref name="tmain"/> By combining multiple basic guns, larger guns have been formed for the c/2, 2c/6, disemiMWSS and skewed variants, as well as pairs of interacting T's. A period 231 T gun is also known, using an [[over-unity reaction]] supported by reflectors formed from the p33 oscillator.<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=30990#p30990|title=Re: tlife (B3/S2-i34q)|author=[[Luka Okanishi]] (AbhpzTa)|date=May 14, 2016|accessdate=May 12, 2018}}</ref>

Several puffers are known. Most known puffers travel at c/2 orthogonal and use one of three engines: one or more [[B-heptomino]]es escorted by at least two disemiMWSSs, a [[Schick engine]]-like tagalong to a pair of disemiMWSSs, or a p8 engine derived from a 4c/8 ship.<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=23553#p23553|title=Re: tlife (B3/S2-i34q)|author=[[Aidan F. Pierce]] (A for awesome)|date=October 9, 2015|accessdate=May 12, 2018}}</ref><ref name="puffer2">{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=23563#p23563|title=Re: tlife (B3/S2-i34q)|author="Sphenocorona"|date=October 9, 2015|accessdate=May 12, 2018}}</ref><ref name="ships1"/> These engines can be perturbed by still more disemiMWSSs to form rakes for the glider and the T, as well as presumably for other spaceships.<ref name="puffer2"/><ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=23559#p23559|title=Re: tlife (B3/S2-i34q)|author="EricG"|date=October 9, 2015|accessdate=May 12, 2018}}</ref> There is also an 8c/282 (mod 141) puffer made up of an ant bouncing between two [[boat]]s, displacing each in a forward direction while creating a block and a forward T, discovered by user [[dani]]; [[Luka Okanishi]] used this to construct a large 8c/282 ship.<ref>{{cite web|url=http://conwaylife.com/forums/viewtopic.php?p=63228#p63228|title=Re: tlife (B3/S2-i34q)|author=[[dani|"dani"]]|date=August 29, 2018|accessdate=September 23, 2018}}</ref><ref name="hypership"/>

A [[sawtooth]] has been constructed, Sawtooth 1761.<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=24988#p24988|title=Re: tlife (B3/S2-i34q)|author="EricG"|date=November 12, 2015|accessdate=May 12, 2018}}</ref>

There is a breeder consisting of four Schick puffer-based glider rakes repeatedly synthesizing double-barreled T guns.<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=23565#p23565|title=Re: tlife (B3/S2-i34q)|author="EricG"|date=October 9, 2015|accessdate=May 12, 2018}}</ref>

No wickstretchers or spacefillers are known.

==Similar rules==

Various rules similar to tlife have been constructed.

===B36/S2-i34q===
This rule is commonly known as "tHighLife" or "Thigh Life", due to it sharing a B6 transition with [[HighLife]].

Very interestingly, it has a simple orthogonal [[replicator]] which replicates at [[4c/11 orthogonal]], very similarly to HighLife's own replicator. [[Luka Okanishi]] used this to construct a 4c/11 orthogonal spaceship.

{| style="margin-left: auto; margin-right: auto"
|-
| [[File:Thighlifereplicator.png|center|frame|The replicator.]]
|-
| [[File:Thighlife4c11spaceship.png|center|frame|The 4c/11 spaceship.]]
|}

===B37/S2-i34q===
This rule is commonly known as "tdrylife", taking its B7 from [[DryLife]].

Unlike DryLife, it is not explosive, and has a lot of very interesting patterns. The only two relatively common oscillators are the [[cap]] and the [[toad]], neither with a usable spark, resulting in no guns having been discovered so far (as opposed to the well-known rakes).

Many interesting spaceships have been constructed in this rule. For example, there is a naturally occurring [[2c/23 orthogonal]] spaceship involving the T trying to escape a [[pre-beehive]]. [[Luka Okanishi]] used this spaceship to create other patterns moving at this speed. A T forward rake was also built using known reflections for gliders and Ts when colliding with the 2c/23 spaceship.

[[File:Tdrylife2c23spaceship.png|frame|center|The 2/c23 ship.]]

A c/2 orthogonal spaceship based on 2 [[B-heptomino]]es has been seen to occur naturally.

[[File:Tdrylifec2spaceship.png|frame|center|The c/2 ship.]]

It has a [[11c/776 diagonal]] glide symmetric [[pond]] [[puffer]], which is actually the [[century]]. It parallels the [[R-pentomino]] based [[9c/28 orthogonal]] pond puffer from DryLife. In June 2017, [[Luka Okanishi]] managed to build a 22c/1552 diagonal spaceship using pond puffer interactions.<ref>{{cite web|url=http://conwaylife.com/forums/viewtopic.php?f=11&t=2266&start=50#p44806|title=Re: tDryLife|author=[[Luka Okanishi]] (AbhpzTa)|date=June 21, 2017|accessdate=June 22, 2017}}</ref>
.

[[File:Tdrylifepondpuffer.png|frame|center|The pond puffer.]]

Most interestingly, there is a (2,6)c/21 ([[:category:spaceships with slope 3|slope 3]]) [[ship]] [[puffer]]. This can be stabilised into various interesting patterns, such as a two-engine knightship. Also, [[Alexey Nigin]] has created a [[quadratic growth]] pattern which uses oblique spaceships to create pond puffers, based on a reaction discovered by [[Rhombic]]. A much slower quadratic growth pattern was discovered later by Rhombic, based on the synthesis of pond puffers with a T and a pond.

[[File:Tdrylifeshippuffer.png|frame|center|The ship puffer.]]

==References==
<references/>

==External links==
{{LinkForumThread|f=11|t=1831|title=tlife}}
{{LinkForumThread|f=11|t=2265|title=thighlife}}
{{LinkForumThread|f=11|t=2266|title=tdrylife}}
{{LinkCatagolueRule|b3s2-i34q|rulename=tlife}}
{{LinkCatagolueRule|b36s2-i34q|rulename=thighlife}}
{{LinkCatagolueRule|b37s2-i34q|rulename=tdrylife}}

{{DISPLAYTITLE:tlife}}

OCA:Snowflakes

2019-02-15T01:42:02Z

Danny:

{{Rule
|name = Snowflakes
|imgname = snowflakes
|char = Chaotic
|b = 2ci3ai4c8
|s = 02ae3eijkq4iz5ar6i7e
}}
'''Snowflakes''' is a non-totalistic [[cellular automaton#Well-known Life-like cellular automata|Life-like cellular automaton]] first discovered by users BlinkerSpawn and dani that is [[omniperiodic]].
It is named in reference to a very common 21 cell [[still life]] (the snowflake) that has a 2 cell seed:

{{EmbedViewer
|rle = x = 21, y = 9, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$4bo$2b5o$2bo3bo$b2obob2o6bobo$2bo3bo$2b5o$4bo!
|position = center
}}

==Patterns==

===Spaceships===
There are two very important small orthogonal spaceships:
{{EmbedViewer
|rle = x = 10, y = 3, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6bo2bo$obo3b3o$3o4bo!
|position = center}}
The c/2 is generally labeled as G, and the 2c/4 as R. There exist G [[gun]]s for all possible periods greater than 11. R guns can exist for periods 9 and above, but no guns have ever been found of periods 9 and 10.

Besides c/2 orthogonal, the only known spaceship speeds are 2c/6 orthogonal, 2c/19 orthogonal and 2c/12 diagonal, with the smallest examples being:
{{EmbedViewer
|rle = x = 41, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9b6o10b3o10bo$5bo2b5obo10bobo9b3o$3o6bobobobo9b3o12bo$8bob3obo9bo3bo$
4b3o2bo2b3o22bo2bo$bo6bobo10bo9bo$8b3o10bo4bo4bo$5bo15bo9bo$23bo5bo$
26bo!
|position = center
}}
The latter two spaceships have since appeared naturally in C1 soups, and have a synthesis from G's. For all known speeds there are puffers, but only the orthogonal speeds have rakes.

A [[universal constructor]] is in the works by [[Goldtiger997]] and several other users, which may lead to a very high-period spaceship, much like Life's universal constructor-based spaceships.

==External links==
{{LinkForumThread|f=11|t=3202|title=Snowflakes}}
{{LinkCatagolueRule|b2ci3ai4c8s02ae3eijkq4iz5ar6i7e}}

User:Danny

2019-01-24T03:37:37Z

Danny:

Hi my name dani.

My most known 'contribution' is finding the push reaction that was the basis for [http://www.conwaylife.com/forums/viewtopic.php?f=11&t=3202 Snowflakes], which a wiki will be set up soon under [[User:Danny/Snowflakes|this link]].

[[User:Danny/Names]]

User:Danny

2019-01-24T03:09:37Z

Danny:

Hi my name is Danielle Conway, better known as dani.

My most known 'contribution' is finding the push reaction that was the basis for [http://www.conwaylife.com/forums/viewtopic.php?f=11&t=3202 Snowflakes], which a wiki will be set up soon under [[User:Danny/Snowflakes|this link]].

[[User:Danny/Names]]

Talk:Pentadecathlons jostling two blocks

2019-01-24T03:09:02Z

Danny: /* We may want to consider renaming this... */

==Cell numbers again==
Generation 9 (starting from current version) seems to have 42 cells if I counted correctly. Ones with the mouth probably have the most cells anyway. Although I don't feel like fixing it just now, not least since that involves a lot of counting to double-check. [[User:Elithrion|Elithrion]] 00:34, 6 February 2009 (UTC)

: Yeah, there are a few generations with 42 cells, so the same thing could be done here that was done at figure eight. Also, you don't have to count the cells manually - just click on the "Manipulate via java" thing and it will show you the number of cells in the top-right of the screen (except for the first generation it seems, which is a glitch). [[User:Nathaniel|Nathaniel]] 00:40, 6 February 2009 (UTC)

:: Oh, true. I really wasn't paying attention there. And I'll do it in a bit, I guess, since I seem to be finished adding animated pictures for all common oscillators (not going to proceed to uncommon ones, though, they're almost universally messier and in less of a list). [[User:Elithrion|Elithrion]] 00:48, 6 February 2009 (UTC)

:: Also, not so much for the first generation, as for right after loading. If you go to next and then back, it becomes all better. [[User:Elithrion|Elithrion]] 00:51, 6 February 2009 (UTC)

:: And also, choosing smallest dimensions seems like a good secondary criterion, so that's what I went with. [[User:Elithrion|Elithrion]] 01:00, 6 February 2009 (UTC)

::: Yeah that seems like a good idea. I actually plan on adding a "[[bounding box]]" tag to the pattern info box template at some point to make the information more complete (and a Moore neighbourhood tag as well, but that's less pressing). [[User:Nathaniel|Nathaniel]] 01:18, 6 February 2009 (UTC)

== We may want to consider renaming this... ==

Yeah, it kind of might sound a bit...preachy, but this oscillator is named after a guy who used blackface. So it might be best if going on we change the name so that nobody accidentally finds this and gets offensive. Here's a picture for what it was named for: [https://render.fineartamerica.com/images/rendered/default/poster/8/10/break/images/artworkimages/medium/1/1-the-jazz-singer-al-jolson-1927-everett.jpg] (Preceding unsigned comment by [[User:Danny|Danny]] ([[User talk:Danny|talk]]) 03:09, 24 January 2019 (UTC))

Talk:Pentadecathlons jostling two blocks

2019-01-24T03:08:24Z

Danny: /* We may want to consider renaming this... */ new section

Reflectorless rotating oscillator

2018-12-17T06:36:40Z

Danny: /* Outer-totalistic rules */

{{Glossary}}
A '''reflectorless rotating oscillator''' (or '''looping spaceship''') - abbreviated as '''RRO''' - is a pattern that rotates itself after a certain number of [[generation]]s. There is the additional constraint that two non-interacting copies of the pattern could be combined into an [[oscillator]] with a [[period]] equal to exactly half of that of the component oscillators. This is like the [[pi orbital]], but without the stabilisation.

Such patterns can be proven to exist (see [[universal constructor]]), but none have been explicitly constructed in [[Life]]. One of the isotropic-rule RROs listed below could be simulated using Adam P. Goucher's [[0E0P metacell]], and the result would closely resemble a standard single-loop RRO. However, 0E0P metacells have an unalterable orientation, so the pattern after N generations would never exactly match a rotated copy of the original until the pattern returns to its original configuration.

It's possible to use 0E0P metacells to create rotationally symmetric patterns that meet the technical specifications of an RRO, but only by arranging multiple separate meta-RRO loops in a symmetrical arrangement, with 0E0P metacells in a different orientation in each loop.

Alternatively, the term may refer to any statorless oscillator that rotates itself after a certain number of generations. The term "statorless rotating oscillator" is sometimes used to refer to these, as opposed to "classical" RROs.

[[Blinker]]s or [[monogram]]s could technically be considered to be degenerate rotating oscillators, turning 90 degrees on every half-period. Rotationally symmetric objects such as [[clock II]] (or any oscillator where period = 4*mod, such as [[pinwheel]] and [[sixty-nine]]) are certainly rotating oscillators. However, most such patterns have stator cells, and more importantly they do not fulfill the additional constraint of allowing for two or more non-interacting copies of the rotor, so they are definitely not "loopable" RROs.

Special-purpose true RROs could be constructed using known universal-constructor technology, which would be much simpler and lower population than a single-loop pseudo-RRO or multi-loop true RRO based on 0E0P metacells. A universal constructor-based RRO has no limit on the number of independent patterns that can orbit a single point.

==Examples==
===Outer-totalistic rules===

There is only one known [[elementary]] reflectorless rotating oscillator in an outer-totalistic [[Life-like cellular automaton]]. It exists in B02348/S0123, and has a period of 272. It is technically not a classical RRO, because two copies combined into a half-period oscillator interact but do not interfere with each other.

<gallery>
File:Xp272 757w9.png|Reflectorless rotating oscillator in B02348/S0123. {{LinkCatagolue|xp272_757w9|rule=b02348s0123|style=brief}} Twofold: {{LinkCatagolue|xp136_w1ee5jzzgzca778|rule=b02348s0123|style=brief}}
</gallery>

There are also [[0E0P metacell]]-based reflectorless rotating oscillators, but none have been constructed.

===Non-totalistic rules===
Multiple reflecterless rotating oscillators have been found in [[non-totalistic]] rules, especially recently:
* dmqwerty425 discovered a period-420 reflectorless rotating oscillator in B2i34ik7/S23-a4ikn5j7 on Catagolue in November 2016.<ref name="post37225" />
* Daniel R. Collazo discovered a period-184 reflectorless rotating oscillator in B3/S23-a4i5i6ci in July 2017.<ref name="post46748" />
* Rhombic discovered a period-72 reflectorless rotating oscillator in B2e3-a4a/S1c23-aky in August 2017.<ref name="post48366" />
* Saka discovered a period-68 reflectorless rotating oscillator in B3-n4rtw5i/S23-n4q5i in August 2017.<ref name="post48513" />
* 2718281828 discovered a number of loopable RROs, with 2-, 3-, 4-, 5-, and even 6-fold loopability, in July 2018.<ref name="post62035" />

<gallery>
File:Xp420 59qkxs.png|Reflectorless rotating oscillator in B2i34ik7/S23-a4ikn5j7. {{LinkCatagolue|xp420_59qkxs|rule=b2i34ik7s23-a4ikn5j7|style=brief}}
</gallery>

===Larger than Life===
One reflectorless rotating oscillator has been found in a [[Larger than Life]] rule, discovered by Dean Hickerson with a period of 552. He placed eight copies in a circle, yielding a period-69 oscillator. [[Dave Greene]] noticed that twelve copies can orbit a central point with period 46.<ref name="post43299" />

<gallery>
File:Deanhickersons p552 RRO.png|Dean Hickerson's period-552 reflectorless rotating oscillator in the [[Larger than Life]] rule R7,C0,M1,S65..114,B65..95,NM. {{LinkCatagolue|code=xp552_0gsuvvvvvuszevvv33133vvvezw377777733|rule=r7b65t95s65t114|style=brief}}
File:Deanhickersons p552 RRO 12fold p46.png|Dave Greene's 12-fold, period-46 version of Dean Hickerson's period-552 RRO.
</gallery>

==Classification==
A method for classifying RROs by the amount of times they can fit into a single loop in a way that evenly divides the period has been discussed;<ref>http://conwaylife.com/forums/viewtopic.php?f=11&t=2238&p=47086&hilit=rro#p47086</ref> by this logic, patterns such as the p160 oscillator in [[tlife]], the p88 in B36ce7c/S23-y, and the natural gun in [[Pedestrian Life]] could be classed as reflectorless rotating oscillators with a ''loopability'' of 1.

==References==
<references>
<ref name="post37225">{{LinkForumThread
|f = 11
|t = 1638
|p = 37225
|title = Soup search results in rules other than Conway's Life
|format = ref
}}</ref>
<ref name="post43299">{{LinkForumThread
|f = 12
|t = 2853
|p = 43299
|title = Abstract Art
|format = ref
}}</ref>
<ref name="post46748">{{LinkForumThread
|f = 7
|t = 2036
|p = 46748
|title = Thread for basic questions
|format = ref
}}</ref>
<ref name="post48366">{{LinkForumThread
|f = 11
|t = 1971
|p = 48366
|title = Miscellaneous Discoveries in Other Cellular Automata
|format = ref
}}</ref>
<ref name="post48513">{{LinkForumThread
|f = 11
|t = 376
|p = 48513
|title = Thread for Your Accidental Discoveries that Aren't in CGOL
|format = ref
}}</ref>
<ref name="post62035">{{LinkForumThread
|f = 11
|t = 3447
|p = 62035
|title = Reflectorless Rotating Oscillators (RRO)
|format = ref
}}</ref>
</references>
==External links==
{{LinkForumThread|f=2|t=393|title=Rotary oscillators?}}

__NOTOC__

Unknown fate

2018-12-13T21:10:03Z

Danny: 0e0p

{{Glossary}}
An object whose [[fate]] is in some way unanswerable with our current knowledge is said to have an '''unknown fate'''. The simplest way that the fate of an object can be unknown involves the question of whether or not it exhibits infinite growth. For example, the fate of the [[Fermat prime calculator]] is currently unknown, but its behaviour is otherwise predictable.

A different type of unknown fate is that of the [[Collatz 5N+1 simulator]], which may become [[stable]], or an [[oscillator]], or have an indefinitely growing [[bounding box]]. Its behavior is otherwise predictable, and unlike the Fermat prime calculator the [[population]] is known to be bounded.

[[Conway's Game of Life|Life]] objects having even worse behaviour (e.g. [[chaotic growth]]) are known using the [[0E0P metacell]], although none have been explicitly constructed.

==External links==
{{LinkLexicon|lex_u.htm#unknownfate}}

LifeWiki:Life links

2018-12-13T20:56:03Z

Danny: This list previously included wwei's dull-witted, dead 'mirror' of Conwaylife lounge, so I've removed it.

This page contains a comprehensive list of links to important sites about [[Conway's Game of Life]] and related [[cellular automaton|cellular automata]].

==Introductory Articles==
*[http://en.wikipedia.org/wiki/Conway's_game_of_life Conway's Game of Life] at [http://www.wikipedia.org Wikipedia]
*[[Conway's Game of Life]] at [[LifeWiki:About|LifeWiki]]
*[http://www.math.com/students/wonders/life/life.html What is the Game of Life?] at Math.com
*[http://www.ibiblio.org/lifepatterns/october1970.html The fantastic combinations of John Conway's new solitaire game "life"] - The original article describing Conway's Game of Life. Written by Martin Gardner and published in the October 1970 issue of Scientific American.

==Research Papers==
*[http://arxiv.org/abs/cs/0004003 Searching for Spaceships] - A paper by [[David Eppstein]] describing spaceship search software and the discovery of the [[weekender]]
*[http://arxiv.org/abs/math/9905194 The still-Life density problem and its generalizations] - A paper by [[Noam Elkies]] that proves the still life conjecture that no infinite still life can have density more than 1/2

==Glossaries and Encyclopediae==
*{{LinkLexicon|style=raw|filename=lex_home.htm|patternname=The Life Lexicon}} by Stephen Silver (see also [http://www.bitstorm.org/gameoflife/lexicon/ this version] by Edwin Martin)
*[http://www.radicaleye.com/lifepage/picgloss/picgloss.html A Brief Illustrated Glossary of Terms in Conway's Game of Life] by [[Alan Hensel]]
*[http://www.michael-hogg.co.uk/game_of_life.php Conway’s Game of Life - An Illustrated Guide] by Michael Hogg
*[http://www.ericweisstein.com/encyclopedias/life/ Treasure Trove of the Life Cellular Automaton] by Eric Weisstein

==Online Pattern Catalogs==
*[http://ad-ca.narod.ru/downen.htm Alien life] - Pattern collections focusing on Life-like cellular automata other than Conway's Game of Life itself
*[http://pentadecathlon.com/objects/objects.php Game of Life Object Catalogs] at Pentadecathlon - contains most small still lifes, oscillators and spaceships
*[http://codercontest.com/mniemiec/lifepage.htm Mark D. Niemiec's Life Page] - patterns sorted by name, glider synthesis, size, or type; use "[http://codercontest.com/mniemiec/lifesrch.htm Search for pattern]" to see if a small object is already known
*[http://catagolue.appspot.com/census/b3s23 Catagolue census pages] - objects found by testing symmetric and asymmetric "random soup" starting conditions

==Downloadable Pattern Catalogs==
*[http://entropymine.com/jason/life/#collections Jason Summers' pattern collections]
*Pattern collections by Alan Hensel: [http://www.ibiblio.org/lifepatterns/lifebc.zip lifebc.zip] (basic collection), [http://www.ibiblio.org/lifepatterns/lifep.zip lifep.zip] (larger collection), and [http://www.ibiblio.org/lifepatterns/lifepw.zip lifepw.zip] (collection including other rules)
*Pattern collections by [[Stephen Silver]]: [http://www.argentum.freeserve.co.uk/ships.zip ships.zip] (small [[spaceship]]s) and [http://www.argentum.freeserve.co.uk/ssguns.zip ssguns.zip] (non-glider [[gun]]s)

==Blogs and News Sites==
*[http://pentadecathlon.com/lifeNews/ Game of Life News] at Pentadecathlon
*[http://b3s23life.blogspot.com/ Conway's Life: Work in Progress] - a blog by [[Dave Greene]]

==Other Personal Life Pages==
*[http://members.tip.net.au/~dbell/ David Bell] - for spaceship enthusiasts
*[http://www.radicaleye.com/lifepage/ Paul Callahan] - various articles and patterns
*[http://www.ics.uci.edu/~eppstein/ca/ David Eppstein] - Gliders in Life-like cellular automata
*[http://wwwhomes.uni-bielefeld.de/achim/gol.html Achim Flammenkamp] - Gardens of Eden, frequency of naturally-occurring patterns
*[http://nickgotts-eventful.blogspot.com/ Nick Gotts] - Game of Life Patterns with Eventful Histories
*[http://radicaleye.com/DRH/ Dean Hickerson] - complex patterns such as [[sawtooth]]s
*[http://codercontest.com/mniemiec/lifepage.htm Mark Niemiec] - [[glider synthesis]] and object counts
*[http://www.gabrielnivasch.org/fun/life Gabriel Nivasch] - a variety of articles and code
*[http://web.archive.org/web/20091027025324/http://geocities.com/conwaylife/ Andrzej Okrasinski] (via archive.org; the original site is down)
*[http://www.argentum.freeserve.co.uk/life.htm Stephen Silver]
*[http://entropymine.com/jason/life/ Jason Summers] - Various search programs and pattern catalogs (see above), also contains a "Status of Life" page recording what is currently known about Life.

==Downloadable Simulation Software==
*[http://golly.sourceforge.net/ Golly] - Linux, Mac, Windows ([[Golly|LifeWiki article]])
*[http://psoup.math.wisc.edu/Life32.html Life32] - Windows ([[Life32|LifeWiki article]])
*[http://www.trevorrow.com/lifelab/ LifeLab] - Mac
*[http://www.mirekw.com/ca/download.html Mirek's Cellebration] - Linux, Mac, Windows
*[ftp://ftp.digital.com/pub/games/winlife.zip WinLife] (direct FTP link) - Windows 3.1
*[https://github.com/bobombolo/automata Minetest mod for exploring 1D, 2D and 3D CA and importing from collections]
*[https://github.com/marrow16/JaGol JaGol] - Java-based implementation of the Game of Life
*[http://bprentice.webenet.net/Java%20Square%20Cell/Square%20Cell.zip Java Square Cell], a powerful CA simulator by [[Brian Prentice]]
**[http://bprentice.webenet.net/Java%20Square%20Cell/Java%20Square%20Cell.html Java Square Cell documentation]
**[http://bprentice.webenet.net/Square%20Cell%20Patterns/Patterns.zip Java Square Cell pattern collection]

===Other CAs===
*[http://bprentice.webenet.net/Triangular%20Cell/ Triangular Cell] - triangular cell simulator by [[Brian Prentice]] ([http://www.conwaylife.com/forums/viewtopic.php?f=11&t=1023&p=7417])
*[http://bprentice.webenet.net/TiledCA/TiledCA.html Tiled CA] - by [[Brian Prentice]]; runs cellular automata simulations on a large number of grids which can be constructed from various shaped tiles ([http://www.conwaylife.com/forums/viewtopic.php?f=11&t=1025&p=8246])

==Web Browser Based Life Simulations==
*[http://andersonvom.github.com/game-of-life/ andersonvom.github.com/game-of-life] - A Javascript / Processing.js open source implementation of the Game of Life
*[http://www.bitstorm.org/gameoflife www.bitstorm.org/gameoflife] - Java applet with a simulator of the Game of Life
*[http://www.ibiblio.org/lifepatterns www.ibiblio.org/lifepatterns] - Java pop up applet with a fast simulator of the Game of Life
*[http://www.julianpulgarin.com/canvaslife/ www.julianpulgarin.com/canvaslife] - Canvas implementation of the Game of Life
*[http://copy.sh/life/ copy.sh/life/] - Javascript/canvas implementation of the Game of Life by Fabian Hemmer using the [[HashLife]] algorithm, capable of handling large patterns
*[https://gwylim.net/hexcell gwylim.net/hexcell] - hexagonal cellular automaton
*[http://www.co.nz/gameoflife/ www.co.nz/gameoflife/] - Javascript/canvas implementation of the Game of Life

==Downloadable Computation and/or Search Software==
*[http://catagolue.appspot.com/home apgsearch for Catagolue] - Downloadable distributed soup search script, written in Python for Golly
*[http://sourceforge.net/projects/bellman/ Bellman] by Mike Playle - Program for searching stable catalysts in Conway's Game of Life. Written in C.
*[http://www.yucs.org/~gnivasch/life/index.html Catalyst] v1.0 by Gabriel Nivasch - Finds ways of modifying the evolution of an input pattern by placing catalysts that react with it, by a backtracking search. Written in C++.
*[https://github.com/simsim314/CatForce CatForce] by Michael Simkin - fast brute-force testing of arrangements of potential catalysts for signal-processing reactions. Written in C, based on the LifeAPI library.
*[http://www.conwaylife.com/forums/viewtopic.php?f=9&t=2246 CollisionsSearch] v0.1a by Sergei Petrov (Guam) - finds arrangements usually of small Spartan or near-Spartan objects, with various constraints. Similar to CatForce, but with a GUI.
*[http://www.radicaleye.com/lifepage/gencols.txt gencols] by Paul Callahan - Enumerates collisions between patterns (e.g. gliders and still lifes). Includes output filters to detect oscillators, spaceships, or successful eating of one pattern by another. Life evolution rule is hardcoded as a sequence of bit-parallel integer operations (so it's possible to change but not easy). Written in C.
*[http://www.ics.uci.edu/~eppstein/ca/gfind.c gfind] v4.8 by David Eppstein - Search program for low-period spaceships. Extends partial patterns a row at a time, keeping track of rows in all phases of the pattern. Includes modes for finding symmetric patterns. Written in C.
*[http://www.ics.uci.edu/~eppstein/ca/gsearch.c gsearch] by David Eppstein - Performs a brute force search of all patterns fitting within a small rectangle. Evolves each pattern for a specified number of generations or until it repeats, grows too large, or matches a previously seen pattern. Recognizes spaceships, oscillators, unstable oscillators (such as queen bee and p90), replicators, and some [[puffer]]s. Includes modes for finding symmetric patterns. Written in C.
*[http://web.archive.org/web/20070117114706/http://www.volny.cz/kasuha/ Hersrch] by Karel Suhajda (via archive.org - the original site is down) - Searches for open or closed Herschel tracks in Conway's Game of Life, using a database of known static and periodic track components. Written in C++.
*[http://members.pcug.org.au/~dbell/programs/lifesrc-3.8.tar.gz lifesrc] v3.8 by David Bell - Search program for oscillators. Written in C.
*[http://www.ics.uci.edu/~eppstein/ca/ofind.c ofind] v0.9 by David Eppstein - Searches for low-period oscillators. Similar to gfind, but extends patterns in all phases simultaneously rather than a single phase at a time, and includes special handling of stator cells. User can specify what spark the oscillator should produce, or how it should interact with neighboring patterns of other periods. Written in C.
*[http://www.yucs.org/~gnivasch/life/index.html Random Agar] v1.1 by Gabriel Navasch - Looks for new Life oscillators, wicks, and agars. Generates random spatially periodic patterns, and runs them until they oscillate. Includes complete support for all possible symmetry types. Written in C++.
*[http://www.conwaylife.com/forums/viewforum.php?f=9 Scripts forum] at ConwayLife.com
*[http://conwaylife.com/forums/viewtopic.php?f=7&t=1091&p=27164#p27164 Seeds of Destruction Game] v0.5 by Paul Chapman - Manual search assistant for self-destruct circuitry, efficient glider-construction cleanups, reburnable fuses, etc. Java application.
*[http://entropymine.com/wls/ WLS 0.71 (WinLifeSearch)] - a Windows port of lifesrc, with a GUI to help with setup. Windows executables are included in the zip files; source code is on [https://github.com/jsummers/winlifesearch github].
*[http://conwaylife.com/forums/viewtopic.php?f=9&t=2070 zfind] - a spaceship search program by zdr.
*[https://github.com/rliston/life-soup life-soup] - an FPGA soup searcher [http://conwaylife.com/forums/viewtopic.php?p=65127#p65127 written by Rob Liston in Verilog], running on the Xilinx EK-U1-VCU118-G evaluation board.

==Chats==
*[https://discord.gg/BCuYCEn Conwaylife Lounge] on Discord

==Other Links Pages==
*[http://dmoztools.net/Computers/Artificial_Life/Cellular_Automata/Conway's_Game_of_Life/ dmoz: Open Directory Project]
*[http://golly.cvs.sourceforge.net/viewvc/*checkout*/golly/golly/src/Help/refs.html Golly Help: References]

Period-104 glider gun

2018-11-03T17:54:39Z

Danny: Redirected page to B-52 bomber

#REDIRECT [[B-52 bomber]]

OCA:Snowflakes

2018-07-16T23:07:02Z

Danny: Undo revision 46013 by Wwei23 (talk): This is not an important detail whatsoever.

{{Rule
|name = Snowflakes
|imgname = snowflakes
|char = Chaotic
|b = 2ci3ai4c8
|s = 02ae3eijkq4iz5ar6i7e
}}
'''Snowflakes''' is a non-totalistic [[cellular automaton#Well-known Life-like cellular automata|Life-like cellular automaton]] by users BlinkerSpawn and danny that is [[omniperiodic]].
It is named by a very common 21 cell [[still life]] that has a 2 cell seed:
{{LV:Viewer|x = 21, y = 9, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$4bo$2b5o$2bo3bo$b2obob2o6bobo$2bo3bo$2b5o$4bo!}}

==Patterns==

===Spaceships===
There are two very important small orthogonal spaceships:
{{LV:Viewer|
x = 10, y = 3, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6bo2bo$obo3b3o$3o4bo!}}
The G is c/2, the R is 2c/4. There exist G [[guns]] for all possible periods, the lowest being 11. The same is true for the R gun, but no guns have ever been found of periods 9 and 10, the former being the lowest period possible.

Next to c/2 orthogonal, known spaceship speeds are 2c/6 orthogonal, 2c/19 orthogonal and 2c/12 diagonal, with the smallest examples being:
{{LV:Viewer|
x = 41, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9b6o10b3o10bo$5bo2b5obo10bobo9b3o$3o6bobobobo9b3o12bo$8bob3obo9bo3bo$
4b3o2bo2b3o22bo2bo$bo6bobo10bo9bo$8b3o10bo4bo4bo$5bo15bo9bo$23bo5bo$
26bo!
}}
The latter two spaceships have since appeared naturally in C1 soups, and have a synthesis from G's. For all known speeds there are puffers, but only the orthogonal speeds have rakes.

A [[universal constructor]] is in the works by [[Goldtiger997]] and several other users, which may lead to a very high-period spaceship, much like Life's universal constructor-based spaceships.

==External links==
{{LinkForumThread|f=11|t=3202|title=Snowflakes}}

OCA:Snowflakes

2018-07-07T02:10:44Z

Danny: I'll edit this more after I'm done with the salvo-

{{Rule
|name = Snowflakes
|imgname = snowflakes
|char = Chaotic
|b = 2ci3ai4c8
|s = 02ae3eijkq4iz5ar6i7e
}}
'''Snowflakes''' is a non-totalistic [[cellular automaton#Well-known Life-like cellular automata|Life-like cellular automaton]] by users BlinkerSpawn and danny that is [[omniperiodic]].
It is named by a very common 21 cell [[still life]] that has a 2 cell seed:
{{LV:Viewer|x = 21, y = 9, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$4bo$2b5o$2bo3bo$b2obob2o6bobo$2bo3bo$2b5o$4bo!}}

==Patterns==

===Spaceships===
There are two very important small orthogonal spaceships:
{{LV:Viewer|
x = 10, y = 3, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6bo2bo$obo3b3o$3o4bo!}}
The G is c/2, the R is 2c/4. There exist G [[guns]] for all possible periods, the lowest being 11. The same is true for the R gun, but no guns have ever been found of periods 9 and 10, the former being the lowest period possible.

Next to c/2 orthogonal, known spaceship speeds are 2c/6 orthogonal, 2c/19 orthogonal and 2c/12 diagonal, with the smallest examples being:
{{LV:Viewer|
x = 41, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9b6o10b3o10bo$5bo2b5obo10bobo9b3o$3o6bobobobo9b3o12bo$8bob3obo9bo3bo$
4b3o2bo2b3o22bo2bo$bo6bobo10bo9bo$8b3o10bo4bo4bo$5bo15bo9bo$23bo5bo$
26bo!
}}
The latter two spaceships have since appeared naturally in C1 soups, and have a synthesis from G's. For all known speeds there are puffers, but only the orthogonal speeds have rakes.

A [[universal constructor]] is in the works by [[Goldtiger997]] and several other users, which may lead to a very high-period spaceship, much like Life's universal constructor-based spaceships.

==External links==
{{LinkForumThread|f=11|t=3202|title=Snowflakes}}

User:Danny/Names

2018-07-04T05:54:06Z

Danny: Created page with "These names are unofficial. B: Any glider that resembles a B, a B descendant, or evolves from the B-heptomino. Calcyman goes fishing: [https://catagolue.appspot.com/obje..."

These names are unofficial.

B: Any glider that resembles a B, a B descendant, or evolves from the [[B-heptomino]].

Calcyman goes fishing: [https://catagolue.appspot.com/object/xs31_8kkm1mk4ozx347065033/b3s23 This 31-cell still life]. The name comes from a wonderful post by user Saka

Dot: The one-cell still life in B/S0

G: The basic glider in any rule. (e.g. The p2 c/2 in Snowflakes, glider in Life)

R: Any glider that resembles an R, an R descendant, or evolves from the [[R-pentomino]].

X: A 5-cell still life, minimal rule B/S1c4c

Y: A 5-cell still life, minimal rule B/S1c2ae4y

Z: A 5-cell still life, minimal rule B/S2ae4z

User:Danny

2018-07-04T04:30:26Z

Danny:

Hi my name is Daniel R. Collazo, better known as danny. I probably should have used a pseudonym but it's too late to haha.

My most known 'contribution' is finding the push reaction that was the basis for [http://www.conwaylife.com/forums/viewtopic.php?f=11&t=3202 Snowflakes], which a wiki will be set up soon under [[User:Danny/Snowflakes|this link]].

[[User:Danny/Names]]

Period 5 oscillators

2018-05-20T18:09:38Z

Danny: Just a temporary name, '?' is a bit out of place. Feel free to revert.

===Smallest===
=====All known period five oscillators that have one phase of less than 29 on cells=====
{| class="wikitable"
! Rank !! Signature !! Name !! Image !! Rotor Size !! Volatility
|-
|1||015-17-17-25-17 || [[pseudo-barberpole]] || [[Image:Pseudobarberpole.png‎|50px]]||28||.82
|-
|2||016-24-16-24-24 || [[octagon_2|octagon 2]] || [[Image:Octagon2.png‎|50px]]||32||.80
|-
|3||017-20-19-21-19 || [[silver's p5]] || [[Image:Silversp5.png‎|50px]]||19||.63
|-
|4||018-22-18-22-22 || [[fumarole]] || [[Image:Fumarole.png‎‎|50px]]||26||.72
|-
|5||020-20-22-22-28 || [[pentoad]] || [[Image:Pentoad.png‎|50px]]||22||.64
|-
|6||020-21-22-26-21 || [[elkies' p5]] || [[Image:Elkiesp5.png|50px]]||16||.55
|-
|7||021-21-22-22-24 || [[hooks]] || [[Image:Hooks.png|50px]]||11||.39
|-
|8||023-24-29-27-33 || [[pentoad 1H2]] || [[Image:Pentoad1h2.png|50px]]||38||.79
|-
|9||026-26-30-30-40 || [[pentoad|pentoad with two hexominoes]] || [[Image:Pentoad with two hexominoes.png|50px]]||38||.76
|-
|10||026-28-26-28-28 || [[heart]] || [[Image:Heart.png‎|50px]]||18||.50
|-
|11||026-28-36-32-38 || [[pentoad 2]] || [[Image:Pentoad2.png|50px]]||54||.87
|-
|12||028-28-29-29-32 || [[pentant]] || [[Image:Pentant.png|50px]]||10||.28
|-
|13||028-30-44-34-34 || [[scot's p5]] || [[Image:Scotsp5.png|50px]]||62||.93
|-
|14||028-32-32-48-32|| [[Pseudo-barberpole|nivasch's pseudo-barberpole]] || [[Image:Radialpseudobarberpole.png|50px]]||52||.81
|-
|15||028-35-31-32-33|| [[5blink]] || [[Image:5blink.png|50px]]||42||.76
|}
Signatures are the population counts for the oscillator, sequenced so that the lowest numbers appear to the left. The first signature number has three digits to facilitate sorting when a table includes larger oscillators. Signature numbers are used to break ties in oscillators of nearly the same size.

===Highest volatility===
=====All known period five oscillators with volatility of at least 0.8=====
{| class="wikitable"
! Rank !! Name !! Image !! Rotor Size !! Volatility
|-
|1|| [[Statorless p5]] || [[Image:Statorlessp5.png|50px]]||156||1
|-
|2|| [https://catagolue.appspot.com/object/xp5_y3c203e0e302cz08440owh9e171e9hwo0448zhraa0ellhy3hlle0aarhz024403whiegsgeihw30442zy3680oe0eo086/b3s23 Four-fold variant of Scot's p5] || || 292 || 0.973
|-
|3|| [[Swine]] || [[Image:Swine.png|50px]]||86||0.959
|-
|4|| [[Scot's p5]] || [[Image:Scotsp5.png‎‎|50px]]||28||0.939
|-
|5|| [https://catagolue.appspot.com/object/xp5_y3o71e0e17ozo8844kkvc7g0g7cvkk4488ozoll5088og5d0d5go8805llozx1111v17g0g71v1111zy47430347/b3s23 Highly volatile p5 1] || || 244 || 0.8714
|-
|6|| [[Pentoad 2]] || [[Image:Pentoad2.png‎‎‎|50px]]||26||0.871
|-
|7|| [[Pseudo-barberpole]] || [[Image:Pseudobarberpole.png‎‎‎|50px]]||15||0.824
|-
|8|| [[Voldiag]] || [[Image:Voldiag.png‎‎‎|50px]]||100||0.821
|-
|9|| [[Pseudo-barberpole|Nivasch's Pseudo-barberpole]] || [[Image:Radialpseudobarberpole.png‎|50px]]||28||0.813
|-
|10|| [[Eppstein p5]] || ||42||0.802
|-
|11|| [[Octagon 2]] || [[Image:Octagon2.png‎|50px]]||16||0.800

|}
For purposes of this table, an extensable oscillator is only represented in its minimal form.
This allows for one iteration of the inserted piece, as in swine and pentoad 2.
Without this restriction oscillators with volatility arbitrarily close to 1 can be constructed by extending [[Pentoad]] or [[Electric fence]].

[[Category:Lists of patterns]]

User:Danny/Etymology Theories

2018-05-07T02:01:42Z

Danny: Created page with "WEEKENDER - Probably named because 2 out of 7 days in a week are weekends, and it travels at 2c/7."

WEEKENDER - Probably named because 2 out of 7 days in a week are weekends, and it travels at 2c/7.

User:Danny

2018-04-25T02:42:07Z

Danny:

User:Danny

2018-01-07T20:58:38Z

Danny: hi

Hi my name is Daniel R. Collazo, better known as danny. I probably should have used a pseudonym but it's too late to haha.

My most known 'contribution' is [http://www.conwaylife.com/forums/viewtopic.php?f=11&t=3148 Movostill 3] but I'm planning to set up CatForce.

Cordership

2017-12-31T18:50:08Z

Danny: added recent discovery

{{Glossary}}
A '''Cordership''' is any [[spaceship]] that is based on [[switch engine]]s. They necessarily have [[speed]] [[:Category:Spaceships with speed c/12|c/12]] and [[period]] that is a multiple of [[:Category:Spaceships with period 96|96]]. Corderships were the slowest known spaceships before discovery of [[Gemini]] in [[:Category:Patterns_found_in_2010|2010]], although arbitrarily slow spaceships had been known to exist (see [[universal constructor]]). They are named after [[:Category:Patterns found by Charles Corderman|Charles Corderman]], who discovered the switch engine in [[:Category:Patterns found in 1971|1971]].

The [[13-engine Cordership|first Cordership]], which used 13 switch engines, was found by [[:Category:Patterns found by Dean Hickerson|Dean Hickerson]] in April [[:Category:Patterns found in 1991|1991]]. He soon thereafter found a smaller [[10-engine Cordership]], and in August [[:Category:Patterns found in 1993|1993]] a [[7-engine Cordership]]. In July [[:Category:Patterns found in 1998|1998]] he found the first [[6-engine Cordership]]. Many Corderships are now known that use [[8-engine Cordership|8]], [[5-engine Cordership|5]], [[4-engine Cordership|4]], [[3-engine Cordership|3]], or [[2-engine Cordership|2]] switch engines.

==See also==
*[[Infinite glider hotel]]
*[[:Category:Corderships|List of Corderships]]
*[[Types of spaceships]]

==External links==
{{LinkWeisstein|Cordership.html}}
{{LinkLexicon|lex_c.htm#cordership}}

3-engine Cordership

2017-12-31T18:49:00Z

Danny: consistency

{{Spaceship
|name = 3-engine Cordership
|pname = 3enginecordership
|family = Cordership
|c = 149
|bx = 58
|by = 65
|dir = Diagonal
|p = 96
|m = 48
|s = c/12
|h = 156.1
|discoverer = Paul Tooke
|discoveryear = 2004
|synthesis = 11
|synthesisRLE = true
|life105 = true
|life106 = true
|plaintext = true
|rle = true
|viewerconfig = #C [[ ZOOM 4 TRACKLOOP 96 -1/12 -1/12 THUMBSIZE 2 GPS 12 HEIGHT 480 WIDTH 480 ]]
|apgcode = xq96_ya33zy2ooy0ccimzyc73goozgo042kcy7cga3z1h9hyeo0gzw1yboow13631z0guh07zykgoo488y9goggwko8zyk262ybc1e08bzyqgo042kcy5o48zyq1h9hya24y233zys1yboozyrguh07
}}
The '''3-engine Cordership''' is a diagonal [[:Category:Spaceships with speed c/12|c/12]] [[spaceship]] that was discovered by [[:Category:Patterns found by Paul Tooke|Paul Tooke]] on January 12, [[:Category:Patterns found in 2004|2004]]. It was the [[Cordership]] that uses the fewest number of known possible [[switch engine]]s, until the [[2-engine Cordership]] was found, though the [[4-engine Cordership]] is smaller in terms of minimum population. [[:Category:Patterns found by David Bell|David Bell]] discovered in [[:Category:Patterns found in 2005|2005]] that it can be used to turn a [[lightweight spaceship]] 90 degrees as shown below.<ref>{{cite web|url=http://pentadecathlon.com/lifeNews/2005/06/new_compact_corderships.html |title=New Compact Corderships |publisher=Dave Greene |date=June 18, 2005|accessdate=June 10, 2009}}</ref> It could be [[glider synthesis|constructed]] with 15 [[glider]]s, and Tooke created a [[gun]] for this spaceship only a week after its original construction (see [[3-engine Cordership gun]]). In March 2017 Luka Okanishi discovered a three-glider synthesis for a switch engine, which reduced the recipe to only 11 gliders.<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&t=279&p=41558#p41557 |title=Re: Thread For Your Accidental Discoveries|publisher=Luka Okanishi|date=March 12, 2017|accessdate=March 13, 2017}}</ref>

The 3-engine Cordership can easily be destroyed by three [[eater 2]]s and four [[block]]s, as shown below. This cleanup reaction was found by [[Jason Summers]].

==Incremental construction==

[[Dave Greene]] discovered a glider synthesis for upgrading a [[switch engine]] to a wing, which can be repeated to form the complete Cordership. Adam P. Goucher then built a Herschel conduit to convert a glider into a 3-engine Cordership.<ref>{{cite web|url=http://b3s23life.blogspot.com/2009/02/first-complete-glider-to-cordership.html |title=First complete glider-to-Cordership converter |publisher=Dave Greene |date=February 7, 2009 |accessdate=June 15, 2009}}</ref>

==Image gallery==
{|
|-
|[[Image:3enginecordershipeater.png|framed|left|3-engine Cordership eater. It is possible to replace the eater2s with eater1s. {{JavaRLE|3enginecordershipeater|brief}}]]
|[[Image:3enginecordershiplwssreflect.png|framed|left|3-engine Cordership about to reflect a lightweight spaceship by 90 degrees {{JavaRLE|3enginecordershiplwssreflection|brief}}]]
|}

==See also==
*[[3-engine Cordership rake]]
*[[Sawtooth 260]]

==References==
<references />

==External links==
{{LinkCatagolue|code=xq96_ya33zy2ooy0ccimzyc73goozgo042kcy7cga3z1h9hyeo0gzw1yboow13631z0guh07zykgoo488y9goggwko8zyk262ybc1e08bzyqgo042kcy5o48zyq1h9hya24y233zys1yboozyrguh07|format=extended}}

[[Category:glide symmetric spaceships]]