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|pname = block2queenbeeshuttle
|pname = block2queenbeeshuttle
|position    = center
|position    = center
|viewerconfig = #C [[ ZOOM 4 WIDTH 800 HEIGHT 400 ]]
|viewerconfig = #C [[ ZOOM 4 WIDTH 600 HEIGHT 600 ]]
|caption      = A collection of eight such 4-glider components mentioned above, turning a block into a queen bee shuttle
|caption      = A collection of nine such 4-glider components mentioned above, turning a block into a queen bee shuttle
|style = width:400px;
|style = width:320px;
}}
}}


Revision as of 09:28, 30 August 2022

Queen bee shuttle
x = 22, y = 7, rule = B3/S23 9bo$7bobo$6bobo11b2o$2o3bo2bo11b2o$2o4bobo$7bobo$9bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 2 ZOOM 16 GPS 10 ]]
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]) can refer to one of two very closely related period-30 shuttle oscillators in which a queen bee travels back and forth between two blocks (see Isomers). 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]

The queen bee shuttle is the basis of Gosper glider gun, the first known and most compact gun in Game of Life.

Isomers

There are two possible isomers for the queen bee shuttle; the version shown in the infobox to the right being the "trans"-version.

Image Name Info Kinetic symmetry apgcode Cost in gliders
Cis-queen bee shuttle Blocks are "on the same side" n-e xp30_w33z8kqrqk8zzzw33 5
Trans-queen bee shuttle Blocks are "on different sides" n.e xp30_w33z8kqrqk8zzzx33 6

Variations

There are also many other stabilisations of the queen bee, such as buckaroo, which utilises an eater 1, and hectic, which relies on gliders. 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.

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.[4] 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 ZOOM 12 ]]
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 ZOOM 12 ]]
A partial queen bee loop with only three queen bees
(click above to open LifeViewer)
RLE: here Plaintext: here

Commonness

Main article: List of common oscillators

The cis-queen bee shuttle and the trans-queen bee shuttle 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]

The trans version is about 2% more common than the cis version on Catagolue.

Glider synthesis

There are a few 4-glider components that turn any one-sided stabilization of the queen bee, such as a block, into a queen bee shuttle variant, yielding 6-glider syntheses for both common variants. The synthesis of the cis-queen bee shuttle was later reduced to 5 gliders in July 2020,[7] and an alternate 6-glider synthesis of the trans-queen bee shuttle has also been found.[8]

x = 116, y = 102, rule = B3/S23 18b2o38b2o38b2o$18b2o38b2o38b2o4$55bo$56bo$54b3o2$92bo$58bo34bo$56bobo 32b3o$57b2o$97bo$98b2o$20bo76b2o$21bo$19b3o$99b2o$57b2o41b2o$21b2o33bo bo40bo$22b2o34bo$21bo$53b2o$52bobo$54bo$12b2o$13b2o77b2o$12bo78bobo$ 93bo9$b2o$obo$2bo15b2o38b2o38b2o$18b2o38b2o38b2o7$91bobo$92b2o$92bo2$ 95b2o$54b2o38bobo$55b2o2bo36bo$54bo3b2o41b2o$58bobo40bobo$101bo$54b2o$ 26b2o25bobo$25b2o28bo$27bo$13b2o$12bobo47bo$14bo46b2o$61bobo30b3o$96bo $39b3o53bo$39bo$6b2o32bo$5bobo$7bo12$25bo$14b2o8b2o$13bobo8bobo37b3o$ 15bo48bo$65bo$50b2o$51b2o45b3o10b3o$50bo49bo10bo$87b2o10bo12bo$79bo6bo bo$78b2o8bo$10b2o66bobo$11b2o15b2o84b2o$10bo16b2o84b2o$29bo10b2o73bo$ 41b2o$40bo$18b2o38b2o38b2o$18b2o38b2o38b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 4 WIDTH 600 HEIGHT 600 ]]
A collection of nine such 4-glider components mentioned above, turning a block into a queen bee shuttle
(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 dimer 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[9]
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 22, y = 17, rule = B3/S23 13bo$12bobo$2o9bo3b2o3b2o$2o9bo3b2o3b2o$11bo3b2o$12bobo$13bo$19bo$19bo $19bo$8bo$7bobo$5b2o3bo$2o3b2o3bo9b2o$2o3b2o3bo9b2o$7bobo$8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
The shuttle produces a spark at the blocks that can be used to rephase a blinker; two must be used to make a functioning oscillator from this reaction to prevent formation of a deadly traffic light.
(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. ↑ New Small Period Oscillators at Game of Life News. Posted by Heinrich Koenig on November 23, 2008.
  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. ↑ Ian07 (July 18, 2020). Re: Randomly enumerating glider syntheses (discussion thread) at the ConwayLife.com forums
  8. ↑ Carson Cheng (June 15, 2022). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  9. ↑ James Pascua (February 8, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
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