Worker bee: Difference between revisions
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{{Oscillator|name=Worker bee|pname=workerbee|p=9|h=15.6| | {{Oscillator | ||
'''Worker bee''' is a | |name = Worker bee | ||
|pname = workerbee | |||
|c = 34 | |||
|bx = 16 | |||
|by = 11 | |||
|p = 9 | |||
|m = 9 | |||
|h = 15.6 | |||
|v = 0.66 | |||
|sv = 0.66 | |||
|symmetry = +e | |||
|discoverer = David Buckingham | |||
|discoveryear = 1972 | |||
|rulemin = B3/S23 | |||
|rulemax = B368/S237 | |||
|isorulemin = B3aeijq/S23ainry | |||
|isorulemax = B2i34-ajn5-aq67c8/S234-ajw5-iqy6-ac7 | |||
|synthesis = 16 | |||
|synthesisRLE = true | |||
|plaintext = true | |||
|rle = true | |||
|animated = true | |||
|viewerconfig = #C [[ HEIGHT 480 THUMBSIZE 3 ZOOM 30 GPS 3 LOOP 9 ]] | |||
|apgcode = xp9_32acxca23zy0cuczggkcxckggz1y51 | |||
|pentadecathlonid = 34P9.1 | |||
}} | |||
'''Worker bee''' (or '''lonely bee'''<ref>{{LinkNiemiec|objname.htm#l|title=Life Objects Sorted by Name (L)|nobullet=nobullet}}</ref>) is a {{period|9}} [[oscillator]] and was found by [[David Buckingham]] in {{year|1972}}.<ref>{{CiteLifeline|vol=6|pages=page 3}}</ref><ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> It consists of four [[eater 1]]s [[hassle|hassling]] a [[line-of-six spark]]. | |||
== | Similar to the [[snacker]], the worker bee is extensible - it is, in fact, a finite version of the infinite [[one-cell-thick pattern|one-cell-thick]] oscillator consisting of alternating groups of six ON cells and two OFF cells. | ||
This oscillator first appeared [[semi-natural]]ly in April {{year|2015}}, in a [[symmetric]] [[soup]] submitted to [[Catagolue]] by [[Dave Greene]].<ref name="post18947" /> | |||
On August 4, {{year|2023}}, [[Carson Cheng]] and [[Chris857]] reduced the synthesis cost from 19 to {{gliders|17|text=17 gliders}}.<ref name="j4803517190"/><ref name="post164437"/> On August 28, {{year|2025}}, [[iNoMed]] found a {{gliders|16}} synthesis based on a semi-natural occurrence.<ref name="post216854"/><ref name="j11169566163"/> | |||
{{EmbedViewer | |||
|pname = infiniteworkerbee | |||
|viewerconfig = #C [[ THUMBNAIL THUMBSIZE 2 ZOOM 12 AUTOSTART GPS 3 ]] | |||
|position = center | |||
|caption = The infinite version of worker bee | |||
}} | |||
== p6 worker bee == | |||
The same unstable object (albeit not in the one-cell-thick phase) is also hasslable by four [[toad]]s to form the p6 worker bee ({{LinkCatagolue|code=xp6_7exe7z01ici1zotxtoz1y11|style=brief}}) or by an unnamed object, mutually stabilising each other, to form an unnamed fourfold variant ({{LinkCatagolue|code=xp6_y1o201ry6r102ozoi0hhgc221x7777x122cghh0iozy1oooyaooozy1333ya333z390hh1688gxssssxg8861hh093zy1380gry6rg083|style=brief}}). | |||
{{EmbedViewer | |||
|rle = x = 40, y = 30, rule = B3/S23 | |||
18b2o10b2o$17bobo10bobo$16b3o12b3o$16b2o14b2o$16b4o2b2o2b2o2b4o$16bo2b | |||
o10bo2bo$12b4ob2o5b2o5b2ob4o$o5bo4b4obo5b2o2b2o5bob4o$2o3b2o3bobobobo | |||
16bobobobo$2o3b2o3b2o2b2o18b2o2b2o$bo3bo2$bo3bo8bo2bo14bo2bo$2bobo9bo | |||
2bo14bo2bo$3bo12bo16bo$3bo12bo16bo$2bobo9bo2bo14bo2bo$bo3bo8bo2bo14bo | |||
2bo2$bo3bo$2o3b2o3b2o2b2o18b2o2b2o$2o3b2o3bobobobo16bobobobo$o5bo4b4ob | |||
o5b2o2b2o5bob4o$12b4ob2o5b2o5b2ob4o$16bo2bo10bo2bo$16b4o2b2o2b2o2b4o$ | |||
16b2o14b2o$16b3o12b3o$17bobo10bobo$18b2o10b2o! | |||
|viewerconfig = #C [[ THUMBNAIL THUMBSIZE 2 HEIGHT 500 ZOOM 12 GPS 3 AUTOSTART LOOP 6 ]] | |||
|position = center | |||
|caption = period-6 variants | |||
|style = width:300px; | |||
}} | |||
There is also a p10 Worker Bee with larger sparkers. <ref name="post199327"/> | |||
== In other rules == | |||
By removing the [[isotropic non-totalistic]] transition B3r, the worker bee needs no external support. A row of 6 cells becomes a small period-9 [[pipsquirter]]. | |||
{{EmbedViewer | |||
|rle = x = 6, y = 1, rule = B3-r/S23 | |||
6o! | |||
|viewerconfig = #C [[ THUMBNAIL THUMBSIZE 4 GPS 3 AUTOSTART LOOP 9 ]] | |||
|position = center | |||
|caption = The worker bee in B3-r/S23 | |||
|style = width:300px; | |||
|apgcode = xp9_7w7/b3-rs23 | |||
}} | |||
== See also == | |||
* [[Snacker]] | |||
* [[68P9]] | |||
== References == | |||
<references> | |||
<ref name="j4803517190">{{CiteCatagolueJob|job=4803517190|date=August 4, 2023}}</ref> | |||
<ref name="j11169566163">{{CiteCatagolueJob|job=11169566163|date=August 28, 2025}}</ref> | |||
<ref name="post18947">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Soup search results | |||
|p = 18947 | |||
|author = Dave Greene | |||
|date = April 23, 2015 | |||
}}</ref> | |||
<ref name="post164437">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Synthesising Oscillators | |||
|p = 164437 | |||
|author = Chris857 | |||
|date = August 1, 2023 <!-- original post date --> | |||
}}</ref> | |||
<ref name="post199327">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Oscillator Discussion Thread | |||
|p = 199327 | |||
|author = Period1GliderGun | |||
|date = December 5, 2024 | |||
}}</ref> | |||
<ref name="post216854">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Synthesising Oscillators | |||
|p = 216854 | |||
|author = iNoMed | |||
|date = August 28, 2025 | |||
}}</ref> | |||
</references> | |||
== External links == | |||
* {{LinkLexicon|lex_w.htm#workerbee}} | |||
* {{LinkCatagolue|xp9_32acxca23zy0cuczggkcxckggz1y51}} | |||
* {{LinkNiemiec|period.htm#p9|8 Period-9 oscillators|rle=lg/34lyet4.rle}} | |||
* {{LinkPentadecathlonObject|34P9.1}} | |||
{{seminatural}} | |||
[[Category:Extendable oscillators]] | |||
__NOTOC__ | |||
Latest revision as of 16:11, 13 February 2026
| Worker bee | |||||||||||
| View animated image | |||||||||||
| View static image | |||||||||||
| Pattern type | Oscillator | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 34 | ||||||||||
| Bounding box | 16 × 11 | ||||||||||
| Period | 9 (mod: 9) | ||||||||||
| Heat | 15.6 | ||||||||||
| Volatility | 0.66 | 0.66 | ||||||||||
| Kinetic symmetry | +e | ||||||||||
| Discovered by | David Buckingham | ||||||||||
| Year of discovery | 1972 | ||||||||||
| |||||||||||
| |||||||||||
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| |||||||||||
Worker bee (or lonely bee[1]) is a period-9 oscillator and was found by David Buckingham in 1972.[2][3] It consists of four eater 1s hassling a line-of-six spark.
Similar to the snacker, the worker bee is extensible - it is, in fact, a finite version of the infinite one-cell-thick oscillator consisting of alternating groups of six ON cells and two OFF cells.
This oscillator first appeared semi-naturally in April 2015, in a symmetric soup submitted to Catagolue by Dave Greene.[4]
On August 4, 2023, Carson Cheng and Chris857 reduced the synthesis cost from 19 to 17 gliders.[5][6] On August 28, 2025, iNoMed found a 16-glider synthesis based on a semi-natural occurrence.[7][8]
| The infinite version of worker bee (click above to open LifeViewer) RLE: here Plaintext: here |
p6 worker bee
The same unstable object (albeit not in the one-cell-thick phase) is also hasslable by four toads to form the p6 worker bee (Catagolue: here) or by an unnamed object, mutually stabilising each other, to form an unnamed fourfold variant (Catagolue: here).
| period-6 variants (click above to open LifeViewer) |
There is also a p10 Worker Bee with larger sparkers. [9]
In other rules
By removing the isotropic non-totalistic transition B3r, the worker bee needs no external support. A row of 6 cells becomes a small period-9 pipsquirter.
| The worker bee in B3-r/S23 (click above to open LifeViewer) Catagolue: here |
See also
References
- ↑ Life Objects Sorted by Name (L) at Mark D. Niemiec's Life Page
- ↑ Robert Wainwright (October 1972). Lifeline, vol 6, page 3.
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ Dave Greene (April 23, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ shinjuku (#4803517190) (August 4, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ Chris857 (August 1, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ iNoMed (August 28, 2025). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ shinjuku (#11169566163) (August 28, 2025). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ Period1GliderGun (December 5, 2024). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
External links
- Worker bee at the Life Lexicon
- Worker bee at Adam P. Goucher's Catagolue
- 8 Period-9 oscillators at Mark D. Niemiec's Life Page (download pattern file: lg/34lyet4.rle)
- 34P9.1 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Oscillators with 34 cells
- Periodic objects with minimum population 34
- Patterns with 34 cells
- Patterns found by David Buckingham
- Patterns found in 1972
- Patterns that can be constructed with 16 gliders
- Oscillators
- Oscillators with period 9
- Oscillators with mod 9
- Oscillators with heat 15
- Oscillators with volatility 0.66
- Oscillators with strict volatility 0.66
- Oscillators with +e symmetry
- Semi-natural periodic objects
- Extendable oscillators