Queen bee shuttle: Difference between revisions
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make the table another section, and also there is a true period-30 gun without queen bee |
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The '''queen bee shuttle''' (or '''basic shuttle'''<ref>{{CiteLexicon|file=lex_b.htm#basicshuttle|name=Basic shuttle|accessdate=June 11, 2009}}</ref>) can refer to one of two very closely related {{period|30}} [[shuttle]] [[oscillator]]s in which a [[queen bee]] travels back and forth between two [[block]]s (see [[# | The '''queen bee shuttle''' (or '''basic shuttle'''<ref>{{CiteLexicon|file=lex_b.htm#basicshuttle|name=Basic shuttle|accessdate=June 11, 2009}}</ref>) can refer to one of two very closely related {{period|30}} [[shuttle]] [[oscillator]]s in which a [[queen bee]] travels back and forth between two [[block]]s (see [[#Isomers|Isomers]]). It was found by [[Bill Gosper]] in {{year|1970}}<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> and was the first period 30 oscillator to be found. In terms of its minimum population of {{cells|20}} [[cell]]s, it is the smallest known oscillator with period greater than 15.<ref>{{cite web|url=https://web.archive.org/web/20220520073223/http://www.pentadecathlon.com/objects/class2/class2.php?part=1 |title=Class 2 Objects Catalog - Oscillators |accessdate=April 8, 2009}}</ref> | ||
The queen bee shuttle is the basis of | The queen bee shuttle is the basis of [[Gosper glider gun]], the first known and most compact gun in Game of Life. | ||
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. | 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. | ||
== | == Isomers == | ||
There are two possible [[isomer]]s for the queen bee shuttle; the version shown in the infobox to the right being the "[[trans]]"-version. | There are two possible [[isomer]]s for the queen bee shuttle; the version shown in the infobox to the right being the "[[trans]]"-version. | ||
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== Variations == | |||
There are also many other stabilisations of the queen bee, such as [[buckaroo]], which utilises an [[eater 1]], and [[hectic]], which relies on [[glider]]s. 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. | There are also many other stabilisations of the queen bee, such as [[buckaroo]], which utilises an [[eater 1]], and [[hectic]], which relies on [[glider]]s. 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. | ||
Revision as of 12:59, 29 August 2022
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| Pattern type | Oscillator | ||||||||
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| 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 | ||||||||
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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.
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.
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.
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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]
| A collection of eight such 4-glider components mentioned above, turning a block into a queen bee shuttle (click above to open LifeViewer) RLE: here Plaintext: here |
Gallery
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References
- ↑ "Basic shuttle". The Life Lexicon. Stephen Silver. Retrieved on June 11, 2009.
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ "Class 2 Objects Catalog - Oscillators". Retrieved on April 8, 2009.
- ↑ New Small Period Oscillators at Game of Life News. Posted by Heinrich Koenig on November 23, 2008.
- ↑ 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 October 27, 2018.
- ↑ Ian07 (July 18, 2020). Re: Randomly enumerating glider syntheses (discussion thread) at the ConwayLife.com forums
- ↑ Carson Cheng (June 15, 2022). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ James Pascua (February 8, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
External links
- Queen bee shuttle at the Life Lexicon
- Queen bee loop at Adam P. Goucher's Catagolue
- 20P30.1 at Heinrich Koenig's Game of Life Object Catalogs
- 20P30.2 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 28
- Natural periodic objects
- Oscillators with 20 cells
- Periodic objects with minimum population 20
- Patterns with 20 cells
- Patterns found by Bill Gosper
- Patterns found in 1970
- Patterns that can be constructed with 6 gliders
- Oscillators
- Queen bee shuttle variants
- Shuttles
- Oscillators with period 30
- Oscillators with mod 15
- Oscillators with heat 17
- Oscillators with volatility 0.96
- Oscillators with strict volatility 0.96
- Non-flipping oscillators that turn 180 degrees
- Sparkers
- Sparkers with period 30
- Dot sparkers
- Strong sparkers