Difference between revisions of "Eater 1"

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|rulemin          = B/S23
|rulemin          = B/S23
|rulemax          = B3678/S012345678
|rulemax          = B3678/S012345678
|rulespecial      = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|rulespecial      = [[Conway's Game of Life|Conway Life]], {{rl|HighLife}}
|isorulemin      = B/S2aek3nr
|isorulemin      = B/S2aek3nr
|isorulemax      = B2-ae34-an5-q678/S012345678
|isorulemax      = B2-ae34-an5-q678/S012345678
Line 21: Line 21:
|niemiecid        = 7et
|niemiecid        = 7et
|pentadecathlonid = 7.3
|pentadecathlonid = 7.3
|viewerconfig    = #C [[ ZOOM 42 ]]
}}
}}
'''Eater 1''' (or '''fishhook'''<ref>{{citeLifeline|vol=2}}</ref> or simply '''eater''') was the first discovered [[eater]]. It was observed independently by several [[Conway's Game of Life|Life]] enthusiasts in [[:Category:Patterns found in 1971|1971]] as the smallest asymmetric [[still life]]. The name "fishhook", which is still occasionally used, was suggested by Clement A. Lessner III and William P. Webb.
'''Eater 1''' (or '''fishhook''' or simply '''eater''') is a {{slcells|7|text=7-cell}} [[still life]] and the smallest asymmetric still life,<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> observed independently by several [[Life enthusiast]]s in {{year|1971}}. The name "fishhook", which is also used, was suggested by Clement A. Lessner III and William P. Webb.<ref>{{citeLifeline|vol=2|pages=page 3}}</ref>


Its ability to eat various objects was discovered by [[Bill Gosper]] late in [[:Category:Patterns found in 1971|1971]].  
This still life comprises the normally unstable [[pre-block]] with a normally unstable [[tail]] attached. This pattern can also be seen as a [[Pattern naming|trans]] version of the [[bookend]].


It only takes four [[generation]]s to recover from being hit by a [[glider]], making it the fastest-recovering and also smallest glider eater. As such, it appears as a stabilizer at the corner of dozens of [[oscillator]]s including [[36P22]], [[buckaroo]], [[P54 shuttle]], [[pentoad]], [[pre-pulsar shuttle 47]], and [[snacker]] due to its ability to change the evolution of nearby objects without being affected itself.
== Eating reactions ==
{{main|Tutorials/Catalyses#Fishhook (eater 1)|Tutorials/Catalyses}}


The tail and head of the eater can also function as a [[boat-bit]].
{{EmbedViewer
|pname = hungryeater1s
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 WIDTH 1200 GPS 10 ]]
|caption      = Some eater 1s about to eat several different objects
|style        = width:300px;
}}
 
A fishhook's ability to eat various objects was discovered by [[Bill Gosper]] late in {{year|1971}}, which made it the first discovered [[glider eater]]. It only takes four [[generation]]s to recover from being hit by a [[glider]], making it the fastest-recovering as well as the smallest. In addition to being able to eat gliders, it can also eat [[blinker]]s, [[lightweight spaceship]]s, [[loaf|loaves]], [[middleweight spaceship]]s, [[pre-beehive]]s, [[R-bee]]s and many other patterns, as shown above. Due to its ability to change the evolution of nearby objects without being affected itself, it appears as a stabilizer at the corner of dozens of [[oscillator]]s including [[buckaroo]], [[p54 shuttle]], [[pentoad]], [[p47 pre-pulsar shuttle]], [[snacker]] and [[p23 honey farm hassler]], as well as many stable [[conduit]]s like [[F171]], [[Fx77]], [[L112]] and so on.
 
Sometimes eater 1 can be replaced by [[33P3.1|a period-3 oscillator]], which can reduce the bounding box of a pattern at the expense of population.<ref name="post58933">{{LinkForumThread|format=ref|p=58933|title=Re: Execution of Old Guns by Variable-Speed Firing Squad|author=Arie Paap|date=April 6, 2018}}</ref><ref name="post60652">{{LinkForumThread|format=ref|p=60652|title=Re: Execution of Old Guns by Variable-Speed Firing Squad|author=Matthias Merzenich|date=June 3, 2018}}</ref>
 
Pre-block is not the only catalytic site on a fishhook. Its tail can be used as a [[rock]] that eats an unnamed 7-[[cell]] [[polyplet]]; another example of this type of [[catalysis]] can be found at generation 74 of [[Fx153]]. Its tail and head can also trigger a [[boat-bit]] reaction, and in this manner it can be considered a G0 [[glider pair]] eater.
 
There are also unusual rare catalyses where the eater tail is temporarily destroyed by an active reaction and then restored back.<ref name="post19459" /><ref name="post21730" />
<!--
https://conwaylife.com/forums/viewtopic.php?p=19459#p19459 RLE:
x = 31, y = 25, rule = LifeHistory
5.2A$3.2A.2A$2.A$2.A.A5.2A$3.A7.A$10.A$9.A$9.A.A4.2A$5.2A.A2.2A5.A$5.
A.3A4.A.A2.A$7.A.A4.3A2.A$16.2A.A$4.A6.2A3.A.A.A.A$5.A3.A3.A9.A$6.3A
6.A7.2A$7.A5.A.A6.2A$12.A2.A5.2A$13.A5.A7.C$4.2A12.A8.3C$.A4.A9.A2.A
10.C$A3.A.2A8.A.A10.2C$A5.2A9.A5.2C$3.2A2.A15.2C$.2A$4.3A!
--><!--
https://conwaylife.com/forums/viewtopic.php?p=21730#p21730 RLE:
x = 20, y = 14, rule = B3/S23
2o$bo$bobo$2b2o5$18b2o$19bo$2bo13b3o$2bobo11bo$2b3o$4bo!
-->
 
== Occurrence ==
{{related|List of common still lifes}}
{{CatagolueSLRarity
|population=7
|absrank=thirteenth
|abslesscommonthan=mango
|absmorecommonthan=long barge
|poprank=third
|poplesscommonthan=long boat
|popmorecommonthan=long snake
}}It is also the seventeenth most common object overall on Catagolue, and the rarest object in Catagolue for which a 2-[[glider]] synthesis exists.
 
In [[Achim Flammenkamp's census]], eater 1 was also ranked thirteenth most common, again between the mango and long barge.<ref>{{citeAchim|accessdate=January 15, 2009}}</ref>
 
== Glider synthesis ==
 
{{EmbedViewer
|pname        = eater1edgeshooters
|viewerconfig = #C [[ ZOOM 8 HEIGHT 600 ]]
|position    = center
|caption      = Common edge-shooting eater 1 recipes
|style        = width:300px;
}}


This pattern can also be seen as a [[Pattern naming|trans]] version of the [[bookend]].
There is a perpendicular [[2-glider collision]] that produces an eater 1 and a domino spark, the latter of which is consumed in four more ticks.


==[[List of common still lifes|Commonness]]==
Several ways to drop an eater 1 on the reaction [[envelope]] are known, for example a two-stage four-glider recipe involving an intermediate pond. These can be useful for constructing larger patterns with tight space and/or time restrictions.
Eater 1 is the thirteenth most common still life in [[Achim Flammenkamp's census]], being less common than [[mango]] but more common than [[long barge]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> It is also the seventeenth most common object on [[Adam P. Goucher]]'s [[Catagolue]]. It is the third most common 7-bit still life, being less common than the [[long boat]] but more common than the [[python]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref>


==Eating reactions==
==In other rules==
Eater 1 is extremely useful as an eater because in addition to being able to eat [[glider]]s, it can also eat [[blinker]]s, [[lightweight spaceship]]s, [[loaf|loaves]], [[middleweight spaceship]]s, [[pre-beehive]]s, [[R-bee]]s and many other patterns, as shown below. Its tail can be used as a [[rock]] that eats an unnamed 7-[[cell]] [[polyplet]]. Its pre-beehive eating reaction is used in the [[period]] [[:Category:Oscillators with period 12|12]] oscillator [[dinner table]].
In the [[isotropic non-totalistic rule]]s between B4a5q/S2aek and B2-ae34-n5678/S0123-nr45678, the eater is a diagonally glide-symmetric period-2 oscillator.
 
{{EmbedViewer
|rle          = x = 4, y = 4, rule = B4a5q/S2aek
2o$bo$bobo$2b2o!
|viewerconfig = #C [[ AUTOSTART GPS 2 ]]
|position    = center
|caption      = The oscillator form
|style        = width:300px;
}}


{| align="center" |
== See also ==
|-
* [[Eater 2]], [[Eater 3]], [[Eater 4]], [[Eater 5]]
|[[Image:eater1_eating.png|framed|center|Some eater 1s about to eat several different objects<br />{{JavaRLE|eater1reactions}}]]
* [[List of common catalysts]]
|}
* [[Tutorials/Catalyses]] for several uses and replacements of an eater 1.


==See also==
== References ==
*[[Eater 2]]
<references>
*[[Eater 3]]
<ref name="post19459">{{LinkForumThread
*[[Eater 4]]
|format = ref
*[[Eater 5]]
|p      = 19459
|title  = Re: The Hunting of the New Herschel Conduits
|author = simsim314
|date  = May 8, 2015
}}</ref>
<ref name="post21730">{{LinkForumThread
|format = ref
|p      = 21730
|title  = Re: Thread for your unsure discoveries
|author = gmc_nxtman
|date  = August 7, 2015
}}</ref>
</references>


==References==
== External links ==
<references />
* {{LinkLexicon|lex_e.htm#eater1}}
* {{LinkCatagolue|xs7_178c}}
* {{LinkNiemiec|p1.htm#p1-7|The 4 seven-bit still-lifes|rle=0/7et.rle}}
* {{LinkPentadecathlonObject|id=7.3|patternname=Eater|archivedate=20221102091135}}


==External links==
{{GliderNavbox}}
{{LinkLexicon|lex_e.htm#eater1}}
{{LinkWeisstein|Fishhook.html|patternname=Fishhook}}
{{LinkCatagolue|xs7_178c}}
{{LinkNiemiec|p1.htm#p1-7|patternname=The 4 seven-bit still-lifes}}


[[Category:Strict still lifes]][[Category:Strict still lifes with 7 cells]]
[[Category:Catalysts]]
__NOTOC__
[[Category:Eaters]]

Latest revision as of 20:21, 16 February 2024

Eater 1
x = 4, y = 4, rule = B3/S23 2o$obo$2bo$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] #C [[ ZOOM 42 ]]
View static image
Pattern type Strict still life
Eater
Number of cells 7
Bounding box 4 × 4
Frequency class 11.0
Discovered by Bill Gosper
Year of discovery 1971

Eater 1 (or fishhook or simply eater) is a 7-cell still life and the smallest asymmetric still life,[1] observed independently by several Life enthusiasts in 1971. The name "fishhook", which is also used, was suggested by Clement A. Lessner III and William P. Webb.[2]

This still life comprises the normally unstable pre-block with a normally unstable tail attached. This pattern can also be seen as a trans version of the bookend.

Eating reactions

Main article: Tutorials/Catalyses
x = 102, y = 14, rule = B3/S23 bobo$4bo$o3bo77bo$4bo8b5o8b4o10bo9b2o9bo9bo9bobo$bo2bo7bo4bo7bo3bo8bob o9b2o9bo8bobo8bobo$2b3o12bo11bo9b2o9b2o9bo7bo2bo9b2o$6b2o4bo3bo2b2o4bo 2bo2b2o9b2o9b2o8b2o5b2o2b2o9b2o7b2o$bo4bobo5bo4bobo9bobo8bobo8bobo7bob o8bobo8bobo6bobo$obo5bo12bo11bo10bo10bo9bo10bo10bo8bo3bo$bo6b2o11b2o 10b2o9b2o9b2o8b2o9b2o9b2o7b2o2bo$99bo$99bo$99bo$100b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 WIDTH 1200 GPS 10 ]]
Some eater 1s about to eat several different objects
(click above to open LifeViewer)
RLE: here Plaintext: here

A fishhook's ability to eat various objects was discovered by Bill Gosper late in 1971, which made it the first discovered glider eater. It only takes four generations to recover from being hit by a glider, making it the fastest-recovering as well as the smallest. In addition to being able to eat gliders, it can also eat blinkers, lightweight spaceships, loaves, middleweight spaceships, pre-beehives, R-bees and many other patterns, as shown above. Due to its ability to change the evolution of nearby objects without being affected itself, it appears as a stabilizer at the corner of dozens of oscillators including buckaroo, p54 shuttle, pentoad, p47 pre-pulsar shuttle, snacker and p23 honey farm hassler, as well as many stable conduits like F171, Fx77, L112 and so on.

Sometimes eater 1 can be replaced by a period-3 oscillator, which can reduce the bounding box of a pattern at the expense of population.[3][4]

Pre-block is not the only catalytic site on a fishhook. Its tail can be used as a rock that eats an unnamed 7-cell polyplet; another example of this type of catalysis can be found at generation 74 of Fx153. Its tail and head can also trigger a boat-bit reaction, and in this manner it can be considered a G0 glider pair eater.

There are also unusual rare catalyses where the eater tail is temporarily destroyed by an active reaction and then restored back.[5][6]

Occurrence

See also: List of common still lifes

Eater 1 is the thirteenth most common still life on Adam P. Goucher's Catagolue, being less common than mango but more common than long barge. Among all still lifes with 7 cells, it is the third most common, being less common than long boat but more common than long snake.[7]It is also the seventeenth most common object overall on Catagolue, and the rarest object in Catagolue for which a 2-glider synthesis exists.

In Achim Flammenkamp's census, eater 1 was also ranked thirteenth most common, again between the mango and long barge.[8]

Glider synthesis

x = 65, y = 65, rule = B3/S23 62bo$62bobo$62b2o6$15bo$13b2o$14b2o3$18bo$17bo34bo$17b3o31bo$51b3o$6bo 29bo25b3o$5bobo27bobo9b3o12bo$7bo9b2o18bo9bo10bo4bo$7b2o7b2o19b2o9bo8b 2o$18bo38bobo2$22b3o36b2o$22bo37b2o$23bo38bo12$6bo29bo$5bobo27bobo$7bo 29bo$7b2o28b2o$b2o$obo$2bo$11bo$10b2o28bo$b2o7bobo26b2o$2b2o35bobo$bo$ 35b3o$37bo$11b3o22bo$11bo$12bo2$51b2o$50b2o$52bo5$56b2o$56bobo$56bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 HEIGHT 600 ]]
Common edge-shooting eater 1 recipes
(click above to open LifeViewer)
RLE: here Plaintext: here

There is a perpendicular 2-glider collision that produces an eater 1 and a domino spark, the latter of which is consumed in four more ticks.

Several ways to drop an eater 1 on the reaction envelope are known, for example a two-stage four-glider recipe involving an intermediate pond. These can be useful for constructing larger patterns with tight space and/or time restrictions.

In other rules

In the isotropic non-totalistic rules between B4a5q/S2aek and B2-ae34-n5678/S0123-nr45678, the eater is a diagonally glide-symmetric period-2 oscillator.

x = 4, y = 4, rule = B4a5q/S2aek 2o$bo$bobo$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 2 ]]
The oscillator form
(click above to open LifeViewer)

See also

References

  1. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  2. ↑ Robert Wainwright (June 1971). Lifeline, vol 2, page 3.
  3. ↑ Arie Paap (April 6, 2018). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums
  4. ↑ Matthias Merzenich (June 3, 2018). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums
  5. ↑ simsim314 (May 8, 2015). Re: The Hunting of the New Herschel Conduits (discussion thread) at the ConwayLife.com forums
  6. ↑ gmc_nxtman (August 7, 2015). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums
  7. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
  8. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.

External links

Glider-accepting devices in stationary signal circuitry
(Talk · Edit · Links)
Stable
Reflectors
Pulse dividers
(Period multipliers)
G-to-X (mostly
glider-to-Herschel)
Memory cells / Factories
Eaters
Glider.png
Periodic
Reflectors
90-degree
180-degree
Pentadecathlon(s) (as in 6 bits) · 3-block-1-tub reflector (as in Ocellus or Gallus) · Pre-pond reflector · Hotcrystal0 reaction · p8 glider reflector
5× pulse divider: Quinti-Snark (p5 quinti-Snark)
0-degree
G-to-H
Concepts
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