Queen bee shuttle: Difference between revisions

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{| style="margin-left:auto;margin-right:auto;" |
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|[[Image:Queenbeeloop.png|framed|center|A queen bee loop<br />{{JavaRLE|queenbeeloop|brief}}]]
|{{EmbedViewer
|[[Image:Partial_queenbee_loop.png|framed|left|A partial queen bee loop with only three queen bees<br />{{JavaRLE|partialqueenbeeloop|brief}}]]
|pname = Queenbeeloop
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|caption      = A queen bee loop<br />
}}
|{{EmbedViewer
|pname = partialqueenbeeloop
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|caption      = A partial queen bee loop with only three queen bees<br />
}}
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|[[Image:Queenbee4.png|framed|left|Queen bee shuttle predecessor made up of a [[pi-heptomino]], two [[blinker]]s and two blocks. Found by Gosper in April {{year|1992}}<br />{{JavaRLE|queenbeeshuttlepipredecessor|brief}}]]
|{{EmbedViewer
|pname = queenbeeshuttlepredecessor
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|caption      = Queen bee shuttle predecessor made up of a [[pi-heptomino]],<br/>two [[blinker]]s and two blocks. Found by Gosper in April {{year|1992}}.<br />
}}
|-
|-
|{{EmbedViewer
|{{EmbedViewer
|rle          =
|pname = p26queenbeeshuttle
10bo13bo$9bobo11bobo$6bo2bo2bo9bob2o2bo$6b3o4bo7bobo2b3o$9b3obo7bob2o$
|position      = center
4b5obobo9bo3b5o$3bo6bo13bobo4bo$bo2bo2bo2b5obobob8o2bo2bo$b2ob4obo3bob
2ob2obo5bo2bob2o$4bo2bo3bo11bo3bo2bo$4bo2bo2b3o9b4ob4o$2bobo2b3o5b2o
10bo2bobo$2b2o4bobo4bobo6bo6b2o$6bo2bobo6bo4bobobo$6bo3bo4bo2bo5bo3b2o
$5bo12bo$3bo11bobo12bo$4bo10b2o9bo3bobo$b2obo2b3o15bo2bobo$4bob3o16bo
2bobob2o$2bobo22bo2bo$3b2o25b2o!
|position      = left
|viewerconfig = #C [[ GPS 13 THUMBSIZE 2 ]]
|viewerconfig = #C [[ GPS 13 THUMBSIZE 2 ]]
|caption      = A period-26 version of the queen bee shuttle, found by [[James Pascua]] based on<br> a partial by [[Entity Valkyrie]]<ref name="post122080" />
|caption      = A period-26 version of the queen bee shuttle, found by<br/>[[James Pascua]] based on a partial by [[Entity Valkyrie]]<ref name="post122080" /><br/>
}}
}}
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Revision as of 23:27, 25 October 2021

Queen bee shuttle
Queen bee shuttle image
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View static image
Pattern type Oscillator
Oscillator type Shuttle
Family Queen bee shuttle
Number of cells 20
Bounding box 22 × 7
Frequency class 28.4
Period 30 (mod: 15)
Heat 17.9
Volatility 0.96 | 0.96
Kinetic symmetry Unspecified
Discovered by Bill Gosper
Year of discovery 1970

The queen bee shuttle (or basic shuttle[1]) is a period-30 shuttle oscillator in which a queen bee travels back and forth between two stabilizing ends. The shuttles were originally stabilized against one another in a square of eight shuttles, though there are now a number of known ways to stabilize the ends. Some simpler methods are shown here involving blocks; for a method involving one or two eater 1's see buckaroo. The queen bee shuttle is the basis of all known true period 30 guns (including the famous Gosper glider gun). It was found by Bill Gosper in 1970[2] and was the first period 30 oscillator to be found. In terms of its minimum population of 20 cells, it is the smallest known oscillator with period greater than 15.[3]

It produces a spark at the blocks that can be used to rephrase a blinker; two must be used to make a functioning oscillator from this reaction to prevent formation of a deadly traffic light.

A 5-glider synthesis for the cis isomer of this oscillator was found in July 2020.[4]

Commonness

The cis-queen bee shuttle (shown in the infobox) and the trans-queen bee shuttle (by shifting one block by one cell) are about the 18th and 19th most common naturally-occurring oscillators in Achim Flammenkamp's census.[5] On Catagolue, it is the most common period 30 oscillator, with all other natural oscillators of that period featuring it in some form.[6]

Variations

The queen bee loop (or ouroboros bees), another form of the queen bee shuttle that was found in 1970 (also by Bill Gosper), is a closed loop made of four queen bees that clean up each other's beehives. It was forgotten about in many sources and independently rediscovered in 2008 by Nicolay Beluchenko.[7] It is also possible to create a partial loop oscillator consisting of two or three queen bees by removing one or two of the queen bees in the loop and placing two stabilizing blocks appropriately.

12bo11b$12bobo9b$13bobo8b$13bo2bo7b$13bobo8b$12bobo9b$12bo11b$3bo20b$ 2bobo19b$bo3bo18b$2b3o19b$2o3b2o17b$17b2o3b2o$19b3o2b$18bo3bob$19bobo 2b$20bo3b$11bo12b$9bobo12b$8bobo13b$7bo2bo13b$8bobo13b$9bobo12b$11bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]
A queen bee loop

(click above to open LifeViewer)
RLE: here Plaintext: here
20b2o2b$20b2o2b$2b2o20b$2b2o20b4$3bo20b$2bobo19b$bo3bo18b$2b3o19b$2o3b 2o17b$17b2o3b2o$19b3o2b$18bo3bob$19bobo2b$20bo3b$11bo12b$9bobo12b$8bob o13b$7bo2bo13b$8bobo13b$9bobo12b$11bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]
A partial queen bee loop with only three queen bees

(click above to open LifeViewer)
RLE: here Plaintext: here
x = 35, y = 7, rule = B3/S23 2o31b2o$2o31b2o3$16b3o$5b3o8bobo8b3o$16bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]
Queen bee shuttle predecessor made up of a pi-heptomino,
two blinkers and two blocks. Found by Gosper in April 1992.

(click above to open LifeViewer)
RLE: here Plaintext: here
x = 33, y = 22, rule = B3/S23 9bo13bo$8bobo11bobo$5bo2bo2bo9bob2o2bo$5b3o4bo7bobo2b3o$8b3obo7bob2o$ 3b5obobo9bo3b5o$2bo6bo13bobo4bo$o2bo2bo2b5obobob8o2bo2bo$2ob4obo3bob2o b2obo5bo2bob2o$3bo2bo3bo11bo3bo2bo$3bo2bo2b3o9b4ob4o$bobo2b3o5b2o10bo 2bobo$b2o4bobo4bobo6bo6b2o$5bo2bobo6bo4bobobo$5bo3bo4bo2bo5bo3b2o$4bo 12bo$2bo11bobo12bo$3bo10b2o9bo3bobo$2obo2b3o15bo2bobo$3bob3o16bo2bobob 2o$bobo22bo2bo$2b2o25b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 13 THUMBSIZE 2 ]]
A period-26 version of the queen bee shuttle, found by
James Pascua based on a partial by Entity Valkyrie[8]

(click above to open LifeViewer)
RLE: here Plaintext: here

References

  1. ↑ "Basic shuttle". The Life Lexicon. Stephen Silver. Retrieved on June 11, 2009.
  2. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  3. ↑ "Class 2 Objects Catalog - Oscillators". Retrieved on April 8, 2009.
  4. ↑ Ian07 (July 18, 2020). Re: Randomly enumerating glider syntheses (discussion thread) at the ConwayLife.com forums
  5. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  6. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on October 27, 2018.
  7. ↑ H. Koenig (November 23, 2008). "New Small Period Oscillators". Game of Life News. Retrieved on June 3, 2009.
  8. ↑ James Pascua (February 8, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums


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