Difference between revisions of "X66"

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(Use LinkLexicon template, and also link to Eppstein's DB)
(added reference for 9G HWSS on semi-X66)
 
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{{Spaceship|name=x66|pname=x66|bx=9|by=11|h=31|dir=Orthogonal|p=4|s=c/2|c=34|discoverer=Hartmut Holzwart|discoveryear=1992|life105=true|life106=true|plaintext=true|rle=true|synthesis=13|synthesisRLE=true|animated=true}}
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{{Spaceship
'''x66''' is a [[period]] [[:Category:Spaceships with period 4|4]] [[spaceship]] with [[speed]] [[c/2 orthogonal|c/2]] that was found by [[:Category:Patterns found by Hartmut Holzwart|Hartmut Holzwart]] in July [[:Category:Patterns found in 1992|1992]]. One of the symmetric halves can alternatively be escorted by a [[heavyweight spaceship]]. Its name refers to the fact that every [[cell]] (alive or dead) has at most 6 live [[Moore neighbourhood|neighbours]] (in contrast to spaceships based on [[lightweight spaceship]]s, [[middleweight spaceship]]s, or heavyweight spaceships). In fact, this spaceship was found via a search with this restriction. From this follows that the spaceship is stable also in Life-like rules allowing birth or survival for a cell with 7 or 8 neighbors.
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|name             = x66
 +
|pname           = x66
 +
|c                = 34
 +
|bx               = 9
 +
|by               = 11
 +
|dir             = Orthogonal
 +
|p               = 4
 +
|m                = 4
 +
|s               = c/2
 +
|z                = 2c/4
 +
|h                = 31
 +
|discoverer       = Hartmut Holzwart
 +
|discoveryear     = 1992
 +
|rulemin          = B3/S23
 +
|rulemax          = B378/S2378
 +
|rulespecial      = [[Conway's Game of Life|Conway Life]]
 +
|isorulemin      = B3-cy/S2-n3-ceky
 +
|isorulemax      = B34ejkq5-ajk6-ai78/S234-ajkqw5-iqy6-a78
 +
|synthesis        = 12
 +
|synthesisRLE    = true
 +
|plaintext       = true
 +
|rle             = true
 +
|animated        = true
 +
|viewerconfig    = #C [[ TRACKLOOP 4 -1/2 0 THUMBSIZE 2 GPS 4 ]]
 +
|apgcode          = xq4_0oorxroozdjio404oijd
 +
|pentadecathlonid = 34P4H2V0.23
 +
|eppsteinid      = 10240
 +
}}
 +
'''x66''' is a {{periodS|4}} [[spaceship]] with [[speed]] [[c/2 orthogonal|c/2]] that was found by [[Hartmut Holzwart]] in July {{year|1992}}. One of the symmetric halves can alternatively be escorted by a [[heavyweight spaceship]]. Its name refers to the fact that every [[cell]] (alive or dead) has at most 6 live [[Moore neighbourhood|neighbours]] (in contrast to spaceships based on [[lightweight spaceship]]s, [[middleweight spaceship]]s, or heavyweight spaceships). In fact, this spaceship was found via a search with this restriction. From this follows that the spaceship is stable also in Life-like rules allowing birth or survival for a cell with 7 or 8 neighbors.
  
x66 was first synthesized on January 11, 2015, requiring 166 gliders. After the emergence of this spaceship in a symmetrical soup on March 8, 2015,<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=17556#p17556|title=Re: Soup search results|author=flipper77|date=March 8, 2015|accessdate=March 18, 2016}}</ref> this was drastically reduced to 13 gliders.
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x66 was first [[glider synthesis|synthesized]] on January 11, {{year|2015}}, requiring 162 gliders.<ref>{{cite web|url=http://conwaylife.com/forums/viewtopic.php?p=15974#p15974|title=Re: Small Spaceship Syntheses|author=Martin Grant|date=January 11, 2015|accessdate=March 18, 2019}}</ref> After the emergence of this spaceship in a symmetrical soup on March 8, 2015,<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=17556#p17556|title=Re: Soup search results|author=flipper77|date=March 8, 2015|accessdate=March 18, 2016}}</ref> this was drastically reduced to 13 gliders,<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=17570#p17570|title=Re: Soup search results|author=Chris Cain|date=March 8, 2015|accessdate=March 18, 2019}}</ref> and then to 12 gliders in {{year|2018}}.<ref>{{cite web|url=http://conwaylife.com/forums/viewtopic.php?p=55127#p55127|title=Re: Small Spaceship Syntheses|author=2718281828|date=January 15, 2018|accessdate=March 18, 2019}}</ref>
  
Half of x66 can be supported by a [[heavyweight spaceship]].
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Half of x66 can be supported by a [[heavyweight spaceship]]. A {{gliders|9}} [[synthesis]] for this variant was found on March 8, 2015, from the same reaction used to create the full x66 in 13 gliders.<ref name="post17576" /> Since the heavyweight spaceship is glide symmetric, it can support two halves at once, or one half alongside a [[sidecar]].
  
 
==Image gallery==
 
==Image gallery==
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==References==
 
==References==
 
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<references>
<references />
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<ref name="post17576">{{LinkForumThread
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|format = ref
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|title  = Re: Soup search results
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|p      = 17576
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|author = Matthias Merzenich
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|date  = March 8, 2015
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}}</ref>
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</references>
  
 
==External links==
 
==External links==
 
{{LinkLexicon|lex_x.htm#x66|patternname=x66}}
 
{{LinkLexicon|lex_x.htm#x66|patternname=x66}}
 
{{LinkEppstein|10240}}
 
{{LinkEppstein|10240}}
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{{LinkCatagolue|xq4_0oorxroozdjio404oijd|patternname=x66}}
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{{LinkCatagolue|xq4_82gfxossz34d72w37d6|patternname=HWSS on semi-x66}}
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{{LinkPentadecathlonObject|34P4H2V0.23}}
  
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{{Symmetry|orthogonal2}}
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{{seminatural}}
 
{{DISPLAYTITLE:x66}}
 
{{DISPLAYTITLE:x66}}
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__NOTOC__

Latest revision as of 20:16, 28 October 2019

x66
2bo$2o$o2b3o2bo$o4b3o$b3o2b2o2$b3o2b2o$o4b3o$o2b3o2bo$2o$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ TRACKLOOP 4 -1/2 0 THUMBSIZE 2 GPS 4 ]]
Pattern type Spaceship
Number of cells 34
Bounding box 9×11
Direction Orthogonal
Period 4
Mod 4
Speed c/2
Speed (unsimplified) 2c/4
Heat 31
Discovered by Hartmut Holzwart
Year of discovery 1992

x66 is a period-4 spaceship with speed c/2 that was found by Hartmut Holzwart in July 1992. One of the symmetric halves can alternatively be escorted by a heavyweight spaceship. Its name refers to the fact that every cell (alive or dead) has at most 6 live neighbours (in contrast to spaceships based on lightweight spaceships, middleweight spaceships, or heavyweight spaceships). In fact, this spaceship was found via a search with this restriction. From this follows that the spaceship is stable also in Life-like rules allowing birth or survival for a cell with 7 or 8 neighbors.

x66 was first synthesized on January 11, 2015, requiring 162 gliders.[1] After the emergence of this spaceship in a symmetrical soup on March 8, 2015,[2] this was drastically reduced to 13 gliders,[3] and then to 12 gliders in 2018.[4]

Half of x66 can be supported by a heavyweight spaceship. A 9-glider synthesis for this variant was found on March 8, 2015, from the same reaction used to create the full x66 in 13 gliders.[5] Since the heavyweight spaceship is glide symmetric, it can support two halves at once, or one half alongside a sidecar.

Image gallery

Half of x66 supported by a heavyweight spaceship
RLE: here

See also

References

  1. Martin Grant (January 11, 2015). "Re: Small Spaceship Syntheses". Retrieved on March 18, 2019.
  2. flipper77 (March 8, 2015). "Re: Soup search results". Retrieved on March 18, 2016.
  3. Chris Cain (March 8, 2015). "Re: Soup search results". Retrieved on March 18, 2019.
  4. 2718281828 (January 15, 2018). "Re: Small Spaceship Syntheses". Retrieved on March 18, 2019.
  5. Matthias Merzenich (March 8, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums

External links

  • 34P4H2V0.23 at Heinrich Koenig's Game of Life Object Catalogs