Paperclip: Difference between revisions
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|rulemin = B/S23 | |rulemin = B/S23 | ||
|rulemax = B3678/S012345678 | |rulemax = B3678/S012345678 | ||
|isorulemin = B/S2k3jnr | |isorulemin = B/S2k3jnr | ||
|isorulemax = B1e2-ae34-a5-kqr678/S012345678 | |isorulemax = B1e2-ae34-a5-kqr678/S012345678 | ||
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|niemiecid = 14.79 | |niemiecid = 14.79 | ||
|pentadecathlonid = 14.475 | |pentadecathlonid = 14.475 | ||
|viewerconfig = [[ ZOOM 42 ]] | |viewerconfig = #C [[ ZOOM 42 ]] | ||
}} | }} | ||
'''Paperclip''' (or '''drain trap'''<ref>{{CiteLexicon|file=lex_d.htm#draintrap|name=Drain trap|accessdate=May 2, 2009}}</ref> or '''S'''<ref>{{CiteLexicon|file=lex_s.htm#s|name=S|accessdate=May 2, 2009}}</ref>) is a 14-bit [[still life]]. | '''Paperclip''' (or '''drain trap'''<ref>{{CiteLexicon|file=lex_d.htm#draintrap|name=Drain trap|accessdate=May 2, 2009}}</ref> or '''S'''<ref>{{CiteLexicon|file=lex_s.htm#s|name=S|accessdate=May 2, 2009}}</ref>) is a 14-bit [[still life]]. | ||
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It contains a [[photonegative]] [[Z-hexomino]]. | It contains a [[photonegative]] [[Z-hexomino]]. | ||
== | == Occurrence == | ||
{{related|List of common still lifes}} | |||
Paperclip is the sixteenth most common [[still life]] in both [[Achim Flammenkamp's census]] and [[Catagolue]]'s census, being less common than [[aircraft carrier]] but more common than [[long ship]] in both.<ref>{{citeAchim|accessdate=January 15, 2009}}</ref>. Among all still lifes with 14 cells, it is the second most common, being less common than [[half-bakery]] but more common than [[big S]].<ref>{{CiteCatagolueStats|June 24, 2016}}</ref> It is also the twenty-second most common object overall on Catagolue. | Paperclip is the sixteenth most common [[still life]] in both [[Achim Flammenkamp's census]] and [[Catagolue]]'s census, being less common than [[aircraft carrier]] but more common than [[long ship]] in both.<ref>{{citeAchim|accessdate=January 15, 2009}}</ref>. Among all still lifes with 14 cells, it is the second most common, being less common than [[half-bakery]] but more common than [[big S]].<ref>{{CiteCatagolueStats|June 24, 2016}}</ref> It is also the twenty-second most common object overall on Catagolue. | ||
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== Use in oscillators == | == Use in oscillators == | ||
Two paperclips can | Two paperclips can form an extensible period-2 [[oscillator]] ({{cata|object/xp2_6t1e8zw1168bqic/b3s23|Paperclip at paperclip p2}}). | ||
{{EmbedViewer | {{EmbedViewer | ||
|pname = paperclipatpaperclipp2 | |pname = paperclipatpaperclipp2 | ||
|viewerconfig = #C [[ HEIGHT 450 WIDTH 600 THUMBSIZE 2 ZOOM 35 AUTOSTART GPS 4 ]] | |||
|position = center | |position = center | ||
}} | }} | ||
== | == Glider synthesis == | ||
{{Small constructible periodic object}} | {{Small constructible periodic object}} | ||
== In other rules == | == In other rules == | ||
In rules that support the object but not its predecessors, such as | In rules that support the object but not its predecessors, such as {{rl|HighLife}}, it is [[OCA:HighLife/List of common still lifes|much less common]]. | ||
== See also == | == See also == | ||
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== External links == | == External links == | ||
{{LinkLexicon|lex_p.htm#paperclip}} | * {{LinkLexicon|lex_p.htm#paperclip}} | ||
{{LinkCatagolue|xs14_69bqic}} | * {{LinkCatagolue|xs14_69bqic}} | ||
{{LinkNiemiec|p1-14.htm| | * {{LinkNiemiec|p1-14.htm|The 619 fourteen-bit still-lifes|rle=14/14-79.rle}} | ||
* {{LinkPentadecathlonObject|id=14.475|archivedate=20221104120048}} | |||
{{Symmetry|180degree}} | {{Symmetry|180degree}} | ||
__NOTOC__ | __NOTOC__ | ||
Revision as of 01:43, 25 October 2023
| Paperclip | |||||||||
| View static image | |||||||||
| Pattern type | Strict still life | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 14 | ||||||||
| Bounding box | 6 × 5 | ||||||||
| Frequency class | 12.8 | ||||||||
| Static symmetry | Unspecified | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | Unknown | ||||||||
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Paperclip (or drain trap[1] or S[2]) is a 14-bit still life.
It contains a photonegative Z-hexomino.
Occurrence
- See also: List of common still lifes
Paperclip is the sixteenth most common still life in both Achim Flammenkamp's census and Catagolue's census, being less common than aircraft carrier but more common than long ship in both.[3]. Among all still lifes with 14 cells, it is the second most common, being less common than half-bakery but more common than big S.[4] It is also the twenty-second most common object overall on Catagolue.
Because it usually forms from specific predecessors, the difference in frequency in asymmetric soups compared to C2_2 (the symmetry the object has) is small, although not negligible.
Use in oscillators
Two paperclips can form an extensible period-2 oscillator (Paperclip at paperclip p2).
| (click above to open LifeViewer) RLE: here Plaintext: here |
Glider synthesis
All strict still lifes with a population of 23 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 35 or fewer cells are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.
In other rules
In rules that support the object but not its predecessors, such as HighLife, it is much less common.
See also
References
- ↑ "Drain trap". The Life Lexicon. Stephen Silver. Retrieved on May 2, 2009.
- ↑ "S". The Life Lexicon. Stephen Silver. Retrieved on May 2, 2009.
- ↑ 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
- Paperclip at the Life Lexicon
- Paperclip at Adam P. Goucher's Catagolue
- The 619 fourteen-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 14/14-79.rle)
- 14.475 at Heinrich Koenig's Game of Life Object Catalogs