Difference between revisions of "Eater 1"
Jump to navigation
Jump to search
(→External links: symmetry cat) |
m (templatified links) |
||
| (27 intermediate revisions by 10 users not shown) | |||
| Line 1: | Line 1: | ||
{{Stilllife | |||
'''Eater 1''' (or '''fishhook'''<ref>{{ | |name = Eater 1 | ||
|pname = eater1 | |||
|type2 = eater | |||
|c = 7 | |||
|bx = 4 | |||
|by = 4 | |||
|fc = 11.0 | |||
|discoverer = Bill Gosper | |||
|discoveryear = 1971 | |||
|rulemin = B/S23 | |||
|rulemax = B3678/S012345678 | |||
|rulespecial = [[Conway's Game of Life|Conway Life]], [[HighLife]] | |||
|isorulemin = B/S2aek3nr | |||
|isorulemax = B2-ae34-an5-q678/S012345678 | |||
|synthesis = 2 | |||
|synthesisRLE = true | |||
|plaintext = true | |||
|rle = true | |||
|apgcode = xs7_178c | |||
|niemiecid = 7et | |||
|pentadecathlonid = 7.3 | |||
}} | |||
'''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 {{year|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. | |||
Its ability to eat various objects was discovered by [[Bill Gosper]] late in | Its ability to eat various objects was discovered by [[Bill Gosper]] late in {{year|1971}}. | ||
It only takes four [[generation]]s to recover from being hit by a [[glider]], making it the fastest-recovering | 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. | ||
The tail and head of the eater can also function as a [[boat-bit]]. | |||
This pattern can also be seen as a [[Pattern naming|trans]] version of the [[bookend]]. | |||
==[[List of common still lifes|Commonness]]== | |||
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> It is the rarest object in [[Catagolue]] for which a 2-[[glider]] [[synthesis]] is known. | |||
==Eating reactions== | ==Eating reactions== | ||
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 | 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|12}} oscillator [[dinner table]]. | ||
{| align="center" | | {| align="center" | | ||
| Line 19: | Line 48: | ||
*[[Eater 4]] | *[[Eater 4]] | ||
*[[Eater 5]] | *[[Eater 5]] | ||
==References== | ==References== | ||
| Line 27: | Line 55: | ||
{{LinkLexicon|lex_e.htm#eater1}} | {{LinkLexicon|lex_e.htm#eater1}} | ||
{{LinkWeisstein|Fishhook.html|patternname=Fishhook}} | {{LinkWeisstein|Fishhook.html|patternname=Fishhook}} | ||
{{LinkCatagolue|xs7_178c}} | |||
{{LinkNiemiec|p1.htm#p1-7|patternname=The 4 seven-bit still-lifes}} | |||
__NOTOC__ | |||
Revision as of 19:13, 28 December 2019
| Eater 1 | |||||||||
| 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[1] or simply eater) was the first discovered eater. It was observed independently by several Life enthusiasts in 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.
Its ability to eat various objects was discovered by Bill Gosper late in 1971.
It only takes four generations 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 oscillators 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.
The tail and head of the eater can also function as a boat-bit.
This pattern can also be seen as a trans version of the bookend.
Commonness
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.[2] 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.[3] It is the rarest object in Catagolue for which a 2-glider synthesis is known.
Eating reactions
Eater 1 is extremely useful as an eater because 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 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-12 oscillator dinner table.
 |
See also
References
- ↑ Robert Wainwright (June 1971). Lifeline, vol 2.
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
External links
- Eater 1 at the Life Lexicon
- The 4 seven-bit still-lifes at Mark D. Niemiec's Life Page
Categories:
- Patterns
- Patterns with Catagolue frequency class 11
- Natural periodic objects
- Periodic objects with minimum population 7
- Patterns with 7 cells
- Patterns found by Bill Gosper
- Patterns found in 1971
- Patterns that can be constructed with 2 gliders
- Still lifes
- Strict still lifes
- Strict still lifes with 7 cells
- Eaters