Eater 3: Difference between revisions
stator link |
2015, wow |
||
| (113 intermediate revisions by 28 users not shown) | |||
| Line 1: | Line 1: | ||
{{ | {{Pattern | ||
'''Eater 3''' is a large symmetric [[eater]] that was found by [[ | |name = Eater 3 | ||
|pname = eater3 | |||
|type = Eater | |||
|c = 31 | |||
|bx = 12 | |||
|by = 12 | |||
|symmetry = D2_x | |||
|discoverer = David Buckingham | |||
|discoveryear = 1977 | |||
|rulemin = B/S23 | |||
|rulemax = B3678/S012345678 | |||
|isorulemin = B/S23r | |||
|isorulemax = B2cik34cirwyz5-k678/S012345678 | |||
|synthesis = 22 | |||
|synthesis2 = 12 | |||
|synthesisRLE = true | |||
|plaintext = true | |||
|rle = true | |||
|apgcode = xs31_6952gg2u08k8z064k5421zw121 | |||
|apgcode2 = xs37_6952gg2u0eioz0mkk5421z01023 | |||
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 30 WIDTH 480 HEIGHT 480 ]] | |||
}}{{cleanup}} | |||
'''Eater 3''' is a large symmetric [[eater]] that was found by [[David Buckingham]] on June 22, {{year|1977}}.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> It has a very different eating reaction from [[fishhook|eater 1]] and [[eater 2]]; however, it shares with those two eaters the ability to [[Glider eater|eat gliders]]. The [[loaf]] can take bites out of things, being flipped over in the process. The rest of the object, which is a {{cells|24|text=24-cell}} [[semi-natural]] [[strict still life]] ([https://catagolue.hatsya.com/object/xs24_xo81v04a4z3iai21zw1/b3s23 xs24_xo81v04a4z3iai21zw1]), simply flips it back again with the central [[pre-block]]. | |||
The eater 3 can be reduced in area by using [[snake]]s rather than [[tub]]s in the [[stator]]; this property | The eater 3 can be reduced in [[bounding box]] area by using [[snake]]s rather than [[tub]]s in the [[stator|casing]]; this property can be used to compact many patterns where eater 3 appears near the edge, such as the [[rectifier]], [[bronco]], [[period-61 glider gun (2023)|smallest known period-61 glider gun]], [[Lx65]] and [[Rx202]]. | ||
== | == Use in oscillators == | ||
{| | Two copies of the eater 3 can share a loaf, forming the period-8 [[oscillator]] shown below. | ||
{{EmbedViewer | |||
|pname = 2eatersplusloaf | |||
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 18 GPS 3 AUTOSTART ]] | |||
|position = center | |||
|caption = A related period-8 oscillator: 2 eater 3s share a loaf | |||
|style = width:300px; | |||
|apgcode = xp8_y2giligz8k80u1460gpxggzy011w1h108cgf0252zy519l91 | |||
}} | |||
Eater 3 is used in many oscillators including [[sailboat]], [[120P34]], [[p42 glider shuttle]] and [[p50 glider shuttle]]. In particular, there are examples that have a corresponding polymer form with loaves being flipped back and forth by off-phase copies, for which eater 3 provides [[monomer]]isations. | |||
{| class="wikitable" style="margin-left:auto; margin-right:auto" | |||
! Monomer !! Polymer | |||
|- | |- | ||
|[[ | | {{LinkCatagolue|xp8_y8mm1ozy93c6wgz4a40v18o137y12330go1v04a4zy112iai3y23iai21zy41y61|style=raw|patternname=unnamed p8}} | ||
||{{LinkCatagolue|xp8_y9mm1ozya3c6wgzgw8808og137y1233xggo0ooz0330311xoo8y1sog132022w1zy61wc6ozy93gdd|style=raw|patternname=tetramer}}{{refn|group="n"|Found by [[Nora Brown]],<ref name="post16048" /> synthesised in 52 gliders by DroneBetter.<ref name="post161827" />}} | |||
|- | |||
| [[Grid's p16]] {{LinkCatagolue|xp16_y631u0u13zy166xdhh0hhdx66zy8131z8k80u2gg2596x6952gg2u08k8zy01255k46y164k5521zy3121y3121|style=raw|patternname=variant}} | |||
||{{LinkCatagolue|xp16_yd39e0e93zy866xobr0rbox66zy2ccy51066601y5cczckgom6160ggy1764x467y1gg0616mogkczca26qo0o133y1oo8x8ooy1331o0oq62aczy2dcy41wooow1y4cdzy8oox7km0mk7xoozydg5t0t5gzyd11x11|style=raw|patternname=tetramer}} | |||
|- | |||
|{{LinkCatagolue|xp30_y88k2s3z8k80u2gg2596w103y36952gg2u08k8zy01245k46ya64k5421zy3121yc121|style=raw|patternname=queen bee shuttle}} | |||
| [[ouroboros bees]]-like {{LinkCatagolue|xp30_y6ss203zy12596x103y24a96zyjgk333kgz15ooo51zy1cia4y2o0gxcik8zybo0877|style=raw|patternname=tetramer}} | |||
|- | |||
|{{LinkCatagolue|xp30_yf33zyd8kqrqk8zzggy0g8koy6ggz11x134b7y53421o81v04a4zyg3iai21zyi1|style=raw|patternname=90º queen bee shuttle pair}} | |||
|{{LinkCatagolue|xp30_yf33zyd8kqrqk8zzggy0g8koy7gy1g8gz11x134b7y52543w278nfy666zye8kqrqk8zzzyh33|style=raw|patternname=antiphase}} and {{LinkCatagolue|xp30_yf33zyd8kqrqk8zzggy0g8koy6ggz11x134b7y5342h84oy5sq4ogxggzyj11y63521y011zzyh25brb52zykoo|style=raw|patternname=synchronised}} dimers<ref group="n">The synchronised one has two loaves perturbing and reflecting from each other, a reaction specific to this oscillator, of those shown here (due to the loaf being perturbed into <span class="plainlinks"><tt>{{LinkCatagolue|xp0_0giligzg9g0641u08k8zw21w11|patternname=2bo$bobo$o$bo!|style=raw}}</tt> instead of <tt>{{LinkCatagolue|xp0_0giligz89g0641u08k8zx3w11|patternname=2b2o$bo$o$o!|style=raw}}</tt></span>)</ref> | |||
|- | |||
|{{LinkCatagolue|xp88_y2giligz8k80u1460g9gybca6zy011w1221z0gwo8w8k4owooxe6ez121078imggpyc356zy34a4|style=raw|patternname=p88 pi and block hassler}} | |||
||{{LinkCatagolue|xp88_yc356y7653zyg8oozyfgh11z6acybg9hy2g88gwggy7ca6zye1221y1121x11x767zy4e6exoowg84oy18k4oz653yc11y3opyc356zymoo8zym111zycca6y76ac|style=raw|patternname=tetramer}} | |||
|} | |} | ||
==See also== | == Glider synthesis == | ||
*[[38P11.1]] | Before 2016, the cheapest known construction recipe for any eater 3 variant needed {{gliders|72|text=72 gliders}}.<!--74G is all that is documented in Niemiec's page--> | ||
*[[Eater 4]] | |||
*[[Eater 5]] | On July 2, {{year|2016}}, [[Mark Niemiec]] found an {{gliders|18}} [[Glider synthesis|synthesis]] based on a reaction found by [[Bullet51]],<ref name="post32625" /> for an eater 3 variant ({{LinkCatagolue|xs37_6952gg2u0eicz0mkk5421z01221|style=brief}}) using [[bun]]s as stabilizers. In April {{year|2020}} [[GUYTU6J]] reduced the bun variant to {{gliders|16|text=16 gliders}}.<ref name="post94142" /> On October 7, 2024, an exhaustive search by [[Alex Greason]] using [[QuSrc]] for 5-glider syntheses in {{times|15|15}} bounding boxes, recording reductions for objects with [[Shinjuku]] entries reduced the initial component ({{LinkCatagolue|xs14_g8gy633z11zy5ok8|name=a block-and-two-boats constellation|style=raw}}) from 6 to 5 gliders, reducing the bun variant to 15 gliders.<ref>Adam P. Goucher, on behalf of Catagolue synthesis box submitters. [https://gitlab.com/parclytaxel/Shinjuku/-/blob/master/shinjuku/comp/autogen/contrib_20241007.sjk ''contrib_20241007.sjk''] on Shinjuku</ref> | ||
On July 3, {{year|2016}}, [[Chris Cain]] found a {{gliders|14}} synthesis of another variant ({{LinkCatagolue|xs37_6952gg2u0eioz0mkk5421z01023|style=brief}}) using [[bookend]]s,<ref name="post32670" /> which was later reduced to {{gliders|13|text=13 gliders}} at some point. On February 15, {{year|2024}}, KtT reduced the bookend version to 12 gliders.<ref name="post178121"/><ref name="j6176752120"/> | |||
== In other rules == | |||
When the S5r survival [[transition (rule definition)|transition]] is added, eater 3 can be greatly reduced to a [[rock]] [[canoe]] and [[loaf]] that, in total, has {{slcells|15|text=15 cells}}. In the rule B3/S235r, this allows for [[sailboat]], [[120P34]] and [[p52 R-pentomino hassler]] to be reduced this way. <ref name="post181184"/> | |||
{{EmbedViewer | |||
|rle = x = 15, y = 15, rule = B3/S235r | |||
10b2o$10bobo$13bo$9bo4bo$4b2o2bobo2b2o$bo2bo3bo2bo$obobo4b2o$bo2bob2o | |||
$4bo2bo$5bo4bo$6b5o2$8bo$7bobo$8bo! | |||
|viewerconfig = #C [[ THUMBSIZE 2 AUTOSTART GPS 2 ]] | |||
|position = center | |||
|caption = Canoe variant and normal eater 3 share a loaf in the rule B3/S235r, creating a period-8 oscillator. | |||
|style = width:300px; | |||
|apgcode = xp8_ok21joxggzx1h108cgf0252zy019l91/b3s235r | |||
}} | |||
In [[Eightlife]], there is a fourfold eater 3 variant where a block can be catalyzed by loaves at all four corners. | |||
{{EmbedViewer | |||
|rle = x = 26, y = 26, rule = B3/S238 | |||
8bo8bo$7bobo6bobo$8bo8bo2$6b5o4b5o$5bo4bo4bo4bo$4bo2bo10bo2bo$bo2bob2o | |||
10b2obo2bo$obobo5bo4bo5bobobo$bo2bo4bobo2bobo4bo2bo$4b2o2bo8bo2b2o$9b | |||
o6bo$12b2o$12b2o$9bo6bo$4b2o2bo8bo2b2o$bo2bo4bobo2bobo4bo2bo$obobo5bo | |||
4bo5bobobo$bo2bob2o10b2obo2bo$4bo2bo10bo2bo$5bo4bo4bo4bo$6b5o4b5o2$8b | |||
o8bo$7bobo6bobo$8bo8bo! | |||
|viewerconfig = #C [[ GPS 2 THUMBSIZE 2 AUTOSTART ZOOM 10 ]] | |||
|position = center | |||
|caption = The resulting period-8 oscillator (120P8) <ref name="post130542" />. Note the reaction is period-agnostic as long as all loaves are triggered at the same time | |||
|style = width:300px; | |||
|apgcode = xp8_y2giligy0giligz8k80u1460g9gwg9g0641u08k8zy011w1iwccwi1w11z4a40v18o1242w2421o81v04a4zy112iai3y03iai21zy41y41/b3s238 | |||
}} | |||
== Gallery == | |||
{{gallery top}} | |||
{{gallery item|{{EmbedViewer | |||
|rle =x = 17, y = 17, rule = B3/S23 | |||
15bo$14bo$14b3o3$9b2o$4b2o2bo2bo$bo2bo4bobo$obobo5bo$bo2bob2o$4bo2bo$ | |||
5bo4bo$6b5o2$8bo$7bobo$8bo! | |||
|viewerconfig = #C [[ THUMBSIZE 2 ]] | |||
|position = center | |||
|caption = Eater 3 eating a glider | |||
|style = width:300px; | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = x = 13, y = 12, rule = B3/S23 | |||
11bo$10bo$10b3o2$2o$o2bob2o$b3obobo$5bobo$b5ob3o$bo4bo3bo$4bobo2b2o$4b | |||
2o! | |||
|viewerconfig = #C [[ THUMBSIZE 2 ]] | |||
|position = center | |||
|caption = A smaller variant of eater 3 with a [[drifter]]-type active reaction;<ref>{{LinkForumThread|format=ref|p=137802|title=Re: Execution of Old Guns by Variable-Speed Firing Squad|author=Matthias Merzenich|date=November 18, 2021}}</ref><ref>{{LinkForumThread|format=ref|p=139992|title=Re: Thread for basic questions|author=Dave Greene|date=January 9, 2022}}</ref> it can be used e.g. in [[p71 honey farm hassler]], [[odd traffic stop]], [[speed tunnel]] variant, and a [[toggle circuit]]. While it is smaller than the standard form in both [[population]] and [[bounding box]], it has a much lower [[clearance]]. | |||
|style = width:300px; | |||
|apgcode = xs29_0g89fgkczg5t178cz11 | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = x = 22, y = 18, rule = B3/S23 | |||
bo$2bo$3o3$6bo$7bo$5b3o3$16b2o$11b2obo2bo2bo$10bobob2obobobo$7bo2bobo | |||
4bo2bo$7b4ob4obo$11bo4bo$9bobo2bo$9b2o3b2o! | |||
|viewerconfig = #C [[ THUMBSIZE 3 GPS 5 WIDTH 560 HEIGHT 600 ]] | |||
|position = center | |||
|caption = Eater 3 variant that produces a [[thumb]], allowing for engineered thumbs with periods 20 and above. | |||
|apgcode = xs37_0g89fgkczg5d1fg4cz19l91 | |||
}}}} | |||
{{gallery bottom}} | |||
== See also == | |||
* [[Rectifier]] | |||
* [[38P11.1]] | |||
* [[Eater 4]] | |||
* [[Eater 5]] | |||
* [[Tutorials/Catalyses#Eater 3|Eater 3 catalyses]] | |||
== Notes == | |||
<references group="n" /> | |||
== References == | |||
<references> | |||
<ref name="j6176752120">{{CiteCatagolueJob|job=6176752120|date=February 15, 2024}}</ref> | |||
<ref name="post16048">{{LinkForumThread | |||
|format = ref | |||
|p = 16048 | |||
|title = Re: Thread For Your Accidental Discoveries | |||
|author = Nora Brown | |||
|date = January 15, 2015 | |||
}}</ref> | |||
<ref name="post32625">{{LinkForumThread | |||
|format = ref | |||
|p = 32625 | |||
|title = Re: Thread for your unsure discoveries | |||
|author = Mark Niemiec | |||
|date = July 2, 2016 | |||
}}</ref> | |||
<ref name="post32670">{{LinkForumThread | |||
|format = ref | |||
|p = 32670 | |||
|title = Re: Thread for your unsure discoveries | |||
|author = Chris Cain | |||
|date = July 3, 2016 | |||
}}</ref> | |||
<ref name="post94142">{{LinkForumThread | |||
|format = ref | |||
|p = 94142 | |||
|title = Re: Synthesising Oscillators | |||
|author = GUYTU6J | |||
|date = April 12, 2020 | |||
}}</ref> | |||
<ref name="post161827">{{LinkForumThread | |||
|format = ref | |||
|p = 161827 | |||
|title = Re: Synthesising oscillators | |||
|author = DroneBetter | |||
|date = May 21, 2023 | |||
}}</ref> | |||
<ref name="post130542">{{LinkForumThread | |||
|format = ref | |||
|p = 130542 | |||
|title = Re: Miscellaneous Discoveries in Other Cellular Automata | |||
|author = wwei47 | |||
|date = May 20, 2021 | |||
}}</ref> | |||
<ref name="post178121">{{LinkForumThread | |||
|format = ref | |||
|p = 178121 | |||
|title = Re: Still Life Synthesis Thread | |||
|author = KtT | |||
|date = February 15, 2024 | |||
}}</ref> | |||
<ref name="post181184">{{LinkForumThread | |||
|format = ref | |||
|p = 181184 | |||
|title = Re:Oscillator Discussion Thread (1-transition) | |||
|author = Haycat Durnak | |||
|date = March 27, 2024 | |||
}}</ref> | |||
</references> | |||
== External links == | |||
* {{LinkLexicon|filename=lex_e.htm#eater3}} | |||
* {{LinkNiemiec|bits-lg.htm#cons-lg|patternname=18 easily-constructible constellations 26 bits and larger}} | |||
* {{LinkCatagolue|xs31_6952gg2u08k8z064k5421zw121|format=pseudo-object}} | |||
* {{LinkCatagolue|xs24_xo81v04a4z3iai21zw1|patternname=Eater 3 minus loaf}} | |||
* {{LinkCatagolue|xs37_6952gg2u0eioz0mkk5421z01023|patternname=Eater 3 with trans-bookends}} (cheapest known variant) | |||
[[Category:Catalysts]] | |||
{{ | [[Category:Eaters]] | ||
{{GliderNavbox}} | |||
__NOTOC__ | |||
Latest revision as of 16:23, 23 March 2026
| Eater 3 | |||||||||||
| View static image | |||||||||||
| Pattern type | Eater | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 31 | ||||||||||
| Bounding box | 12 × 12 | ||||||||||
| Static symmetry | D2_x | ||||||||||
| Discovered by | David Buckingham | ||||||||||
| Year of discovery | 1977 | ||||||||||
| |||||||||||
| |||||||||||
| |||||||||||
| |||||||||||
| This article may require cleanup to meet LifeWiki's quality standards. |
Eater 3 is a large symmetric eater that was found by David Buckingham on June 22, 1977.[1] It has a very different eating reaction from eater 1 and eater 2; however, it shares with those two eaters the ability to eat gliders. The loaf can take bites out of things, being flipped over in the process. The rest of the object, which is a 24-cell semi-natural strict still life (xs24_xo81v04a4z3iai21zw1), simply flips it back again with the central pre-block.
The eater 3 can be reduced in bounding box area by using snakes rather than tubs in the casing; this property can be used to compact many patterns where eater 3 appears near the edge, such as the rectifier, bronco, smallest known period-61 glider gun, Lx65 and Rx202.
Use in oscillators
Two copies of the eater 3 can share a loaf, forming the period-8 oscillator shown below.
| A related period-8 oscillator: 2 eater 3s share a loaf (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
Eater 3 is used in many oscillators including sailboat, 120P34, p42 glider shuttle and p50 glider shuttle. In particular, there are examples that have a corresponding polymer form with loaves being flipped back and forth by off-phase copies, for which eater 3 provides monomerisations.
| Monomer | Polymer |
|---|---|
| unnamed p8 | tetramer[n 1] |
| Grid's p16 variant | tetramer |
| queen bee shuttle | ouroboros bees-like tetramer |
| 90º queen bee shuttle pair | antiphase and synchronised dimers[n 2] |
| p88 pi and block hassler | tetramer |
Glider synthesis
Before 2016, the cheapest known construction recipe for any eater 3 variant needed 72 gliders.
On July 2, 2016, Mark Niemiec found an 18-glider synthesis based on a reaction found by Bullet51,[4] for an eater 3 variant (Catagolue: here) using buns as stabilizers. In April 2020 GUYTU6J reduced the bun variant to 16 gliders.[5] On October 7, 2024, an exhaustive search by Alex Greason using QuSrc for 5-glider syntheses in 15 × 15 bounding boxes, recording reductions for objects with Shinjuku entries reduced the initial component (a block-and-two-boats constellation) from 6 to 5 gliders, reducing the bun variant to 15 gliders.[6]
On July 3, 2016, Chris Cain found a 14-glider synthesis of another variant (Catagolue: here) using bookends,[7] which was later reduced to 13 gliders at some point. On February 15, 2024, KtT reduced the bookend version to 12 gliders.[8][9]
In other rules
When the S5r survival transition is added, eater 3 can be greatly reduced to a rock canoe and loaf that, in total, has 15 cells. In the rule B3/S235r, this allows for sailboat, 120P34 and p52 R-pentomino hassler to be reduced this way. [10]
| Canoe variant and normal eater 3 share a loaf in the rule B3/S235r, creating a period-8 oscillator. (click above to open LifeViewer) Catagolue: here |
In Eightlife, there is a fourfold eater 3 variant where a block can be catalyzed by loaves at all four corners.
| The resulting period-8 oscillator (120P8) [11]. Note the reaction is period-agnostic as long as all loaves are triggered at the same time (click above to open LifeViewer) Catagolue: here |
Gallery
| Eater 3 eating a glider (click above to open LifeViewer) |
| A smaller variant of eater 3 with a drifter-type active reaction;[12][13] it can be used e.g. in p71 honey farm hassler, odd traffic stop, speed tunnel variant, and a toggle circuit. While it is smaller than the standard form in both population and bounding box, it has a much lower clearance. (click above to open LifeViewer) Catagolue: here |
| Eater 3 variant that produces a thumb, allowing for engineered thumbs with periods 20 and above. (click above to open LifeViewer) Catagolue: here |
See also
Notes
- ↑ Found by Nora Brown,[2] synthesised in 52 gliders by DroneBetter.[3]
- ↑ The synchronised one has two loaves perturbing and reflecting from each other, a reaction specific to this oscillator, of those shown here (due to the loaf being perturbed into 2bo$bobo$o$bo! instead of 2b2o$bo$o$o!)
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ Nora Brown (January 15, 2015). Re: Thread For Your Accidental Discoveries (discussion thread) at the ConwayLife.com forums
- ↑ DroneBetter (May 21, 2023). Re: Synthesising oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Mark Niemiec (July 2, 2016). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums
- ↑ GUYTU6J (April 12, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Adam P. Goucher, on behalf of Catagolue synthesis box submitters. contrib_20241007.sjk on Shinjuku
- ↑ Chris Cain (July 3, 2016). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums
- ↑ KtT (February 15, 2024). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums
- ↑ shinjuku (#6176752120) (February 15, 2024). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ Haycat Durnak (March 27, 2024). Re:Oscillator Discussion Thread (1-transition) (discussion thread) at the ConwayLife.com forums
- ↑ wwei47 (May 20, 2021). Re: Miscellaneous Discoveries in Other Cellular Automata (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (November 18, 2021). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums
- ↑ Dave Greene (January 9, 2022). Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums
External links
- Eater 3 at the Life Lexicon
- 18 easily-constructible constellations 26 bits and larger at Mark D. Niemiec's Life Page
- Eater 3 at Adam P. Goucher's Catagolue (pseudo-object)
- Eater 3 minus loaf at Adam P. Goucher's Catagolue
- Eater 3 with trans-bookends at Adam P. Goucher's Catagolue (cheapest known variant)
| ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||