Worker bee: Difference between revisions

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|rulemin          = B3/S23
|rulemin          = B3/S23
|rulemax          = B368/S237
|rulemax          = B368/S237
|rulespecial      = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|rulespecial      = [[Conway's Game of Life|Conway Life]], {{rl|HighLife}}
|isorulemin      = B3aeijq/S23ainry
|isorulemin      = B3aeijq/S23ainry
|isorulemax      = B2i34-ajn5-aq67c8/S234-ajw5-iqy6-ac7
|isorulemax      = B2i34-ajn5-aq67c8/S234-ajw5-iqy6-ac7
Line 22: Line 22:
|rle              = true
|rle              = true
|animated        = true
|animated        = true
|viewerconfig    = #C [[ GPS 3 LOOP 9 HEIGHT 480 WIDTH 800 THUMBSIZE 3 ]]
|viewerconfig    = #C [[ HEIGHT 480 THUMBSIZE 3 ZOOM 30 GPS 3 LOOP 9 ]]
|apgcode          = xp9_32acxca23zy0cuczggkcxckggz1y51
|apgcode          = xp9_32acxca23zy0cuczggkcxckggz1y51
|pentadecathlonid = 34P9.1
|pentadecathlonid = 34P9.1
Line 33: Line 33:


== p6 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 {{LinkCatagolue|code=xp6_7exe7z01ici1zotxtoz1y11|style=raw|patternname=p6 worker bee}} or by an unnamed object, mutually stabilising each other, to form {{LinkCatagolue|code=xp6_y1o201ry6r102ozoi0hhgc221x7777x122cghh0iozy1oooyaooozy1333ya333z390hh1688gxssssxg8861hh093zy1380gry6rg083|style=raw|patternname=an unnamed fourfold variant}}.
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
{{EmbedViewer
|rle = x = 40, y = 30, rule = B3/S23
|rle         = x = 40, y = 30, rule = B3/S23
18b2o10b2o$17bobo10bobo$16b3o12b3o$16b2o14b2o$16b4o2b2o2b2o2b4o$16bo2bo10bo2bo$12b4ob2o5b2o5b2ob4o$o5bo4b4obo5b2o2b2o5bob4o$2o3b2o3bobobobo16bobobobo$2o3b2o3b2o2b2o18b2o2b2o$bo3bo2$bo3bo8bo2bo14bo2bo$2bobo9bo2bo14bo2bo$3bo12bo16bo$3bo12bo16bo$2bobo9bo2bo14bo2bo$bo3bo8bo2bo14bo2bo2$bo3bo$2o3b2o3b2o2b2o18b2o2b2o$2o3b2o3bobobobo16bobobobo$o5bo4b4obo5b2o2b2o5bob4o$12b4ob2o5b2o5b2ob4o$16bo2bo10bo2bo$16b4o2b2o2b2o2b4o$16b2o14b2o$16b3o12b3o$17bobo10bobo$18b2o10b2o!
18b2o10b2o$17bobo10bobo$16b3o12b3o$16b2o14b2o$16b4o2b2o2b2o2b4o$16bo2b
|position = center
o10bo2bo$12b4ob2o5b2o5b2ob4o$o5bo4b4obo5b2o2b2o5bob4o$2o3b2o3bobobobo
|viewerconfig = #C [[ THUMBNAIL HEIGHT 400 AUTOSTART GPS 3 LOOP 6 ]]
16bobobobo$2o3b2o3b2o2b2o18b2o2b2o$bo3bo2$bo3bo8bo2bo14bo2bo$2bobo9bo
|caption = period-6 variants<br>
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;
}}
}}


== In other rules ==
== In other rules ==
In other [[Life-like]] rules with transition S8, for instance [[EightLife]], the core of worker bee evolves into a [[honeycomb]], making the [[still life]] more common than that in regular Life.
In other [[Life-like]] rules with transition S8, for instance {{rl|EightLife}}, the core of worker bee evolves into a [[honeycomb]], making the [[still life]] more common than that in regular Life.


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]].
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
{{EmbedViewer
|rle = x = 6, y = 1, rule = B3-r/S23
|rle         = x = 6, y = 1, rule = B3-r/S23
6o!
6o!
|position = center
|viewerconfig = #C [[ THUMBNAIL THUMBSIZE 4 GPS 3 AUTOSTART LOOP 9 ]]
|viewerconfig = #C [[ THUMBNAIL THUMBSIZE 4 AUTOSTART GPS 3 LOOP 9 ]]
|position    = center
|caption = The worker bee in B3-r/S23<br>
|caption     = The worker bee in B3-r/S23
|style        = width:300px;
}}
}}



Revision as of 08:18, 22 May 2023

Worker bee
2o12b2o$bo12bob$bobo8bobob$2b2o8b2o2b2$5b6o5b2$2b2o8b2o2b$bobo8bobob$b o12bob$2o12b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 480 THUMBSIZE 3 ZOOM 30 GPS 3 LOOP 9 ]]
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 Unspecified
Discovered by David Buckingham
Year of discovery 1972

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]

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).

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! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 2 HEIGHT 500 ZOOM 12 GPS 3 AUTOSTART LOOP 6 ]]
period-6 variants
(click above to open LifeViewer)

In other rules

In other Life-like rules with transition S8, for instance EightLife, the core of worker bee evolves into a honeycomb, making the still life more common than that in regular Life.

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.

x = 6, y = 1, rule = B3-r/S23 6o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 4 GPS 3 AUTOSTART LOOP 9 ]]
The worker bee in B3-r/S23
(click above to open LifeViewer)

See also

References

  1. ↑ Life Objects Sorted by Name (L) at Mark D. Niemiec's Life Page
  2. ↑ Robert Wainwright (October 1972). Lifeline, vol 6, page 3.
  3. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  4. ↑ Dave Greene (April 23, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums