Difference between revisions of "X66"
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|m = 4 | |m = 4 | ||
|s = c/2 | |s = c/2 | ||
|z = 2c/4 | |||
|h = 31 | |h = 31 | ||
|discoverer = Hartmut Holzwart | |discoverer = Hartmut Holzwart | ||
|discoveryear = 1992 | |discoveryear = 1992 | ||
|synthesis = | |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 | |synthesisRLE = true | ||
|plaintext = true | |plaintext = true | ||
|rle = true | |rle = true | ||
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'''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. | '''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. | ||
x66 was first synthesized on January 11, 2015, requiring | x66 was first 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]]. Since the heavyweight spaceship is glide symmetric, it can support two halves at once, or one half alongside a [[sidecar]]. | Half of x66 can be supported by a [[heavyweight spaceship]]. Since the heavyweight spaceship is glide symmetric, it can support two halves at once, or one half alongside a [[sidecar]]. | ||
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{{Symmetry|orthogonal2}} | {{Symmetry|orthogonal2}} | ||
{{seminatural}} | |||
{{DISPLAYTITLE:x66}} | {{DISPLAYTITLE:x66}} | ||
__NOTOC__ | |||
Revision as of 19:39, 26 June 2019
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| Pattern type | Spaceship | ||||||||
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| Number of cells | 34 | ||||||||
| Bounding box | 9 × 11 | ||||||||
| Direction | Orthogonal | ||||||||
| Period | 4 | ||||||||
| Mod | 4 | ||||||||
| Speed | c/2 | 2c/4 | ||||||||
| Heat | 31 | ||||||||
| Discovered by | Hartmut Holzwart | ||||||||
| Year of discovery | 1992 | ||||||||
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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. Since the heavyweight spaceship is glide symmetric, it can support two halves at once, or one half alongside a sidecar.
Image gallery
See also
References
- ↑ Martin Grant (January 11, 2015). "Re: Small Spaceship Syntheses". Retrieved on March 18, 2019.
- ↑ flipper77 (March 8, 2015). "Re: Soup search results". Retrieved on March 18, 2016.
- ↑ Chris Cain (March 8, 2015). "Re: Soup search results". Retrieved on March 18, 2019.
- ↑ 2718281828 (January 15, 2018). "Re: Small Spaceship Syntheses". Retrieved on March 18, 2019.
External links
- x66 at the Life Lexicon
- Glider 10240 at David Eppstein's Glider Database
- x66 at Adam P. Goucher's Catagolue
- 34P4H2V0.23 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Spaceships with 34 cells
- Periodic objects with minimum population 34
- Patterns with 34 cells
- Patterns found by Hartmut Holzwart
- Patterns found in 1992
- Patterns that can be constructed with 12 gliders
- Spaceships
- Spaceships with period 4
- Orthogonal spaceships
- Spaceships with speed c/2
- Spaceships with unsimplified speed 2c/4
- Spaceships with heat 31
- Spaceships with mod 4
- Patterns with bilateral orthogonal symmetry
- Semi-natural periodic objects