Difference between revisions of "Twin bees shuttle"

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|name        = Twin bees shuttle
|name        = Twin bees shuttle
|pname        = twinbeesshuttle
|pname        = twinbeesshuttle
|f1         = Shuttle
|f1           = Shuttle
|c            = 28
|c            = 28
|bx          = 32
|bx          = 32
|by          = 13
|by          = 13
|fc          = 38.2
|p            = 46
|p            = 46
|m           = 46
|m           = 46
|h            = 32.5
|h            = 32.5
|v            = 0.98
|v            = 0.98
|rotor = Twin bees
|sv          = 0.94
|discoverer  = Bill Gosper
|discoverer  = Bill Gosper
|discoveryear = 1971
|discoveryear = 1971
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|rulemax      = B38/S23
|rulemax      = B38/S23
|rulespecial  = [[Conway's Game of Life|Conway Life]]
|rulespecial  = [[Conway's Game of Life|Conway Life]]
|isorulemin  = B3-y/S23-k
|isorulemax  = B34eq6c8/S234c5kn6-ak7e
|synthesis    = 8
|synthesis    = 8
|synthesisRLE = true
|synthesisRLE = true
|life105      = true
|life106      = true
|plaintext    = true
|plaintext    = true
|rle          = true
|rle          = true
|animated    = true
|animated    = true
|viewerconfig = #C [[ GPS 10 THUMBSIZE 2 ZOOM 14 ]]
|viewerconfig = #C [[ GPS 10 THUMBSIZE 2 ZOOM 14 ]]
|apgcode      = xp46_033y133zzzckgsxsgkczz0cc
}}
}}
The '''Twin bees shuttle''' (or '''B-heptomino shuttle'''<ref>{{CiteLexicon|lex_b.htm#bheptominoshuttle|name=B-heptomino shuttle}}</ref>) was found by [[Bill Gosper]] in [[:Category:Patterns found in 1971|1971]].<ref>{{CiteHickersonOscillators}}</ref> Before discovery of the [[snark]], it and its variants were the basis of all known [[period]] [[:Category:Oscillators with period 46|46]] [[oscillator]]s (the version at right being the smallest based on its minimum population of 28 cells), and are still so of all known true period 46 [[gun]]s, including the second known basic gun, [[new gun 1]]. The simplest such gun is the [[bi-gun]], in which two twin bees shuttles collide with each other head-on (much like the collision of two [[queen bee]]s in the [[Gosper glider gun]]).
The '''twin bees shuttle''' (or '''B-heptomino shuttle'''<ref>{{CiteLexicon|lex_b.htm#bheptominoshuttle|name=B-heptomino shuttle}}</ref>) was found by [[Bill Gosper]] in {{year|1971}}.<ref>{{CiteHickersonOscillators}}</ref> Before the [[Snark]] was discovered, it and its variants were the basis of all known {{period|46}} [[oscillator]]s (the version at right being the smallest based on its minimum population of 28 cells), and until the discovery of [[Tanner's p46]], the basis of all known true period 46 [[gun]]s including the second known basic gun, [[new gun 1]]. The simplest such gun is the [[bi-gun]], in which two twin bees shuttles collide with each other head-on (much like the collision of two [[queen bee]]s in the [[Gosper glider gun]]).


There are numerous ways to stabilize the ends, two of which are shown to the right; a stabilization by two [[block]]s on the left of the pattern, and a stabilization by one block on the right. This latter method produces a very large [[spark]] which is useful in a number of ways. For example, the large spark can be used to convert an incoming [[glider]] into a [[lightweight spaceship]], as illustrated by [[double X]]. The image below shows [[David Bell]]'s double [[block]] reaction (on the left), which results in a shorter but wider shuttle than usual, as well as [[Heinrich Koenig]]'s [[hat]] stabilization (on the right).
There are numerous ways to stabilize the ends, two of which are shown to the right; a stabilization by two [[block]]s on one end and one block on the other end. This 3-block stabilization produces the smallest possible shuttle in terms of its minimum population. This latter method produces a very large [[spark]] which is useful in a number of ways. For example, the large spark can be used to convert an incoming [[glider]] into a [[lightweight spaceship]], as illustrated by [[double X]]. The image below shows [[David Bell]]'s double [[block]] reaction (on the left), which results in a shorter but wider shuttle than usual, as well as [[Heinrich Koenig]]'s [[hat]] stabilization (on the right). The two-block shuttle, however, has a cheaper [[glider synthesis]], costing only {{gliders|7|brief}} [[glider]]s instead of 8.<ref>{{citeCatagolue|title=cis-twin-bees-shuttle|page=object/xp46_330279cx1aad3y833zx4e93x855bc/b3s23|accessdate=May 24, 2019}}</ref>


Interactions based on the twin bees shuttle are numerous and can have many applications. Some notable reactions are period 46 oscillators that can directly reflect gliders, lightweight spaceships, and [[middleweight spaceship]]s, as well as convert gliders to lightweight spaceships and lightweight spaceships to middleweight spaceships.
Interactions based on the twin bees shuttle are numerous and can have many applications. Some notable reactions are period 46 oscillators that can directly reflect gliders, lightweight spaceships, and [[middleweight spaceship]]s, as well as convert gliders to lightweight spaceships and lightweight spaceships to middleweight spaceships.


The period-92 '''do-see-do''' reaction was found by [[David Bell]] in [[:Category:patterns found in 1996|1996]].<ref>{{CiteLexicon|lex_d.htm#do-see-do|name=Do-see-do}}</ref> It is a 90 degree glider reflection reaction in which the gliders appear to circle around each other.
The period-92 '''do-see-do''' reaction was found by [[David Bell]] in {{year|1996}}.<ref>{{CiteLexicon|lex_d.htm#do-see-do|name=Do-see-do}}</ref> It is a 90 degree glider reflection reaction in which the gliders appear to circle around each other.
 
==[[List of common oscillators|Commonness]]==
On [[Catagolue]], it is the most common period 46 oscillator, with all natural oscillators of that period featuring it in some form.<ref>{{citeCatagolueStats|October 27, 2018}}</ref>
 
A four-fold version of this oscillator first appeared [[semi-natural]]ly in December {{year|2014}} in a [[soup]] found by [[Richard Schank]].<ref name="post15115" /> A [[monomer]]ized version, specifically the ''cis'' [[isomer]], later appeared in an [[asymmetric]] soup found by [[Brett Berger]] on April 16, {{year|2015}}.<ref name="post18729" /> The ''trans'' version first appeared on May 7 in a soup also found by Berger,<ref name="post19439" /> and the three-block version first appeared on October 15 in a soup found by [[Tomas Rokicki]].<ref name="post23844" /> Other three-block versions, with one of the blocks placed further away, were found by [[Adam P. Goucher]] in July and September {{year|2016}}.<ref name="post33264" /><ref name="post36138" />


==Image gallery==
==Image gallery==
{|
{|
|-
|-
|[[Image:Twinbeesshuttlealternatestabilization.png|framed|left|Some alternate stabilizations of the twin bees shuttle<br />{{JavaRLE|twinbeesshuttlev2|brief}}]]
{{EmbedViewer
|viewerconfig = #C [[ GPS 23 LOOP 46 ZOOM 4 ]]
|pname        = twinbeevariants
|caption      = Some additional ways to stabilize the twin bees shuttle;<br>the top-left variant is used in [[centinal]]<br>
|position    = left
}}
|[[Image:Twinbeesshuttleinteractions.png|framed|left|Several interactions involving the twin bees shuttle<br/>{{JavaRLE|twinbeesshuttleinteractions}}]]
|[[Image:Twinbeesshuttleinteractions.png|framed|left|Several interactions involving the twin bees shuttle<br/>{{JavaRLE|twinbeesshuttleinteractions}}]]
|[[Image:doseedo.png|framed|left|Do-see-do<br/>{{JavaRLE|doseedo|brief}}]]
|[[Image:doseedo.png|framed|left|Do-see-do<br/>{{JavaRLE|doseedo|brief}}]]
|}
|}


==See also==
==See also==
Line 48: Line 61:


==References==
==References==
<references/>
<references>
<ref name="post15115">{{LinkForumThread
|format = ref
|title  = Re: Soup search results
|p      = 15115
|author = Richard Schank
|date  = December 19, 2014
}}</ref>
<ref name="post18729">{{LinkForumThread
|format = ref
|title  = Re: Soup search results
|p      = 18729
|author = Matthias Merzenich
|date  = April 16, 2015
}}</ref>
<ref name="post19439">{{LinkForumThread
|format = ref
|title  = Re: Soup search results
|p      = 19439
|author = gameoflifeboy
|date  = May 7, 2015
}}</ref>
<ref name="post23844">{{LinkForumThread
|format = ref
|title  = Re: Soup search results
|p      = 23844
|author = gameoflifeboy
|date  = October 15, 2015
}}</ref>
<ref name="post33264">{{LinkForumThread
|format = ref
|title  = Re: Soup search results
|p      = 33264
|author = Apple Bottom
|date  = July 16, 2016
}}</ref>
<ref name="post36138">{{LinkForumThread
|format = ref
|title  = Re: Soup search results
|p      = 36138
|author = Apple Bottom
|date  = September 26, 2016
}}</ref>
</references>


==External links==
==External links==
{{LinkWeisstein|TwinBeesShuttle.html}}
{{LinkWeisstein|TwinBeesShuttle.html}}
{{LinkLexicon|lex_t.htm#twinbeesshuttle}}
{{LinkLexicon|lex_t.htm#twinbeesshuttle}}
{{LinkPentadecathlonObject|32P46.1}}


===Catagolue===
===Catagolue===
Line 60: Line 117:
{{LinkCatagolue|xp46_330279cx1aad3yd66zx4e93x855bcy8cc|patternname=xp46_330279cx1aad3yd66zx4e93x855bcy8cc}}
{{LinkCatagolue|xp46_330279cx1aad3yd66zx4e93x855bcy8cc|patternname=xp46_330279cx1aad3yd66zx4e93x855bcy8cc}}


[[Category:Sparking oscillators]]
{{Sparker|p=46|type=domino|strength=strong|type2=dot}}
[[Category:Domino sparkers]]
__NOTOC__

Revision as of 19:57, 8 April 2020

Twin bees shuttle
Twin bees shuttle image
View animated image
View static image
Pattern type Oscillator
Oscillator type Shuttle
Number of cells 28
Bounding box 32 × 13
Frequency class 38.2
Period 46
Mod 46
Heat 32.5
Volatility 0.98
Strict volatility 0.94
Discovered by Bill Gosper
Year of discovery 1971

The twin bees shuttle (or B-heptomino shuttle[1]) was found by Bill Gosper in 1971.[2] Before the Snark was discovered, it and its variants were the basis of all known period-46 oscillators (the version at right being the smallest based on its minimum population of 28 cells), and until the discovery of Tanner's p46, the basis of all known true period 46 guns including the second known basic gun, new gun 1. The simplest such gun is the bi-gun, in which two twin bees shuttles collide with each other head-on (much like the collision of two queen bees in the Gosper glider gun).

There are numerous ways to stabilize the ends, two of which are shown to the right; a stabilization by two blocks on one end and one block on the other end. This 3-block stabilization produces the smallest possible shuttle in terms of its minimum population. This latter method produces a very large spark which is useful in a number of ways. For example, the large spark can be used to convert an incoming glider into a lightweight spaceship, as illustrated by double X. The image below shows David Bell's double block reaction (on the left), which results in a shorter but wider shuttle than usual, as well as Heinrich Koenig's hat stabilization (on the right). The two-block shuttle, however, has a cheaper glider synthesis, costing only 7 gliders instead of 8.[3]

Interactions based on the twin bees shuttle are numerous and can have many applications. Some notable reactions are period 46 oscillators that can directly reflect gliders, lightweight spaceships, and middleweight spaceships, as well as convert gliders to lightweight spaceships and lightweight spaceships to middleweight spaceships.

The period-92 do-see-do reaction was found by David Bell in 1996.[4] It is a 90 degree glider reflection reaction in which the gliders appear to circle around each other.

Commonness

On Catagolue, it is the most common period 46 oscillator, with all natural oscillators of that period featuring it in some form.[5]

A four-fold version of this oscillator first appeared semi-naturally in December 2014 in a soup found by Richard Schank.[6] A monomerized version, specifically the cis isomer, later appeared in an asymmetric soup found by Brett Berger on April 16, 2015.[7] The trans version first appeared on May 7 in a soup also found by Berger,[8] and the three-block version first appeared on October 15 in a soup found by Tomas Rokicki.[9] Other three-block versions, with one of the blocks placed further away, were found by Adam P. Goucher in July and September 2016.[10][11]

Image gallery

x = 81, y = 69, rule = B3/S23 50bo25bo$49bobo23bobo$49bobo23bobo$2o27b2o16b3ob2o21b2ob3o$bo27bo16bo 33bo$bobo23bobo17b3ob2o21b2ob3o$2b2o8bo14b2o20bob2o7bo13b2obo$11b2o46b 2o$10b2o46b2o$11b2o2b2o42b2o2b2o4$11b2o2b2o42b2o2b2o$10b2o46b2o$11b2o 46b2o$2b2o8bo14b2o31bo$bobo23bobo$bo27bo18b2o27b2o$2o27b2o18bo27bo$46b 3o29b3o$46bo33bo6$52b2o19b2o$52b2o19b2o2$12bo47bo$11b2o38b2o6b2o13b2o$ 10b2o39b2o5b2o14b2o$4bo6b2o2b2o9bo32b2o2b2o$2b3o21b3o$bo27bo$2b3o21b3o $4bo6b2o2b2o9bo32b2o2b2o$10b2o39b2o5b2o14b2o$11b2o38b2o6b2o13b2o$12bo 47bo2$52b2o19b2o$52b2o19b2o7$7b2o13b2o31b2o13b2o$6bobo13bobo29bobo13bo bo$7bo15bo31bo15bo2$12bo47bo$4b2o5b2o12b2o25b2o5b2o12b2o$4b2o4b2o13b2o 25b2o4b2o13b2o$11b2o2b2o42b2o2b2o4$11b2o2b2o42b2o2b2o$4b2o4b2o13b2o21b 2o8b2o17b2o$4b2o5b2o12b2o21b2o9b2o16b2o$12bo47bo2$7bo15bo28bo21bo$6bob o13bobo26bobo19bobo$7b2o13b2o28b2o19b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 23 LOOP 46 ZOOM 4 ]]
Some additional ways to stabilize the twin bees shuttle;
the top-left variant is used in centinal

(click above to open LifeViewer)
RLE: here Plaintext: here
Several interactions involving the twin bees shuttle
Download RLE: click here
Do-see-do
RLE: here


See also

References

  1. ↑ "B-heptomino shuttle". The Life Lexicon. Stephen Silver.
  2. ↑ Dean Hickerson's oscillator stamp collection.
  3. ↑ Adam P. Goucher. "cis-twin-bees-shuttle". Catagolue. Retrieved on May 24, 2019.
  4. ↑ "Do-see-do". The Life Lexicon. Stephen Silver.
  5. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on October 27, 2018.
  6. ↑ Richard Schank (December 19, 2014). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  7. ↑ Matthias Merzenich (April 16, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  8. ↑ gameoflifeboy (May 7, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  9. ↑ gameoflifeboy (October 15, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  10. ↑ Apple Bottom (July 16, 2016). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  11. ↑ Apple Bottom (September 26, 2016). Re: Soup search results (discussion thread) at the ConwayLife.com forums

External links

Template:LinkWeisstein

Catagolue


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