Difference between revisions of "Turner"

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{{Glossary}}
 
{{Glossary}}
A '''turner''' is a [[one-time]] [[glider]] [[reflector]], or in other words a single-glider [[seed]].  The term "turner" is seldom used in relation to spaceships other than gliders.  A reusable turner would instead be called a [[reflector]].
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A '''turner''' is a [[one-time]] [[glider]] [[reflector]], or in other words a single-glider [[seed]].  A reusable turner would instead be called a [[reflector]].  The terms "turner" and "reflector" are seldom used in relation to spaceships other than gliders.  A one-time turner consists of a [[constellation]] or other [[pattern]] that can be hit by a [[glider]] to produce another glider travelling in a different direction, destroying the turner in the process. This contrasts with one-time [[converter]]s, which produce an output different from the input.  In a [[dirty]] turner the reaction leaves behind one or more [[ash]] objects different from the original constellation.
  
One-time turners may be 90-degree or 180-degree, or they may be 0-degree with the output in the same direction as the input.  Shown on the top row below are the four 90-degree turner reactions that use common small [[ash]] objects: [[boat]], [[eater 1]], [[long boat]], and [[toad]].
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One-time turners are an important component for [[slow salvo]] [[synthesis]], where they are frequently used to change the direction from which a trigger glider will hit the reaction site.  They may be 90-degree or 180-degree, or they may be 0-degree with the output in the same direction as the input (in which case they may instead be referred to as one-time [[rephaser]]s).  Shown on the top row below are the four 90-degree turner reactions that use common small [[ash]] objects: [[boat]], [[eater 1]], [[long boat]], and [[toad]].
  
 
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Of the reactions on the first row, the glider output is the same [[parity]] for all but the longboat. The three still lifes are all [[colour-changing]], but the toad happens to be a [[colour-preserving]] turner.
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Of the reactions on the first row, the glider output is the same [[parity]] for all but the long boat. The three still lifes are all [[colour-changing]], but the toad happens to be a [[colour-preserving]] turner.
  
 
Many small one-time turner [[constellation]]s have also been catalogued.<ref>{{cite web|url=http://conwaylife.com/forums/viewtopic.php?f=2&t=1512|title=Splitters with common SL|date=November 27, 2014|author=Michael Simkin|accessdate=January 28, 2018}}</ref>  The two-block turner directly below the toad is also colour-changing, but has the opposite parity.
 
Many small one-time turner [[constellation]]s have also been catalogued.<ref>{{cite web|url=http://conwaylife.com/forums/viewtopic.php?f=2&t=1512|title=Splitters with common SL|date=November 27, 2014|author=Michael Simkin|accessdate=January 28, 2018}}</ref>  The two-block turner directly below the toad is also colour-changing, but has the opposite parity.
  
In the southwest corner above are two of the simplest 180-degree turners. The Blockic turner is colour-preserving. The long boat is again colour-changing; this is somewhat counterintuitive as the output glider is on exactly the same [[lane]] as the input glider, but gliders traveling in opposite directions on the same lane are always opposite colours.
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In the southwest corner above are three of the simplest 180-degree turners. The [[Blockic]] turner is colour-preserving. The long boat and long ship are again colour-changing; this is somewhat counterintuitive as the output glider is on exactly the same [[lane]] as the input glider, but gliders traveling in opposite directions on the same lane always have opposite colours.
  
 
A one-time turner reaction can be used as part of a glider [[injection]] mechanism, or as a switching mechanism for a [[signal]]. If a previous reaction has created the sacrificial [[bait]] object, then a later glider is turned onto a new path. Otherwise it passes through the area unaffected. This is one way to create simple switching systems or logic [[circuit]]s such as the [[demultiplexer]].
 
A one-time turner reaction can be used as part of a glider [[injection]] mechanism, or as a switching mechanism for a [[signal]]. If a previous reaction has created the sacrificial [[bait]] object, then a later glider is turned onto a new path. Otherwise it passes through the area unaffected. This is one way to create simple switching systems or logic [[circuit]]s such as the [[demultiplexer]].

Revision as of 22:05, 17 April 2018

A turner is a one-time glider reflector, or in other words a single-glider seed. A reusable turner would instead be called a reflector. The terms "turner" and "reflector" are seldom used in relation to spaceships other than gliders. A one-time turner consists of a constellation or other pattern that can be hit by a glider to produce another glider travelling in a different direction, destroying the turner in the process. This contrasts with one-time converters, which produce an output different from the input. In a dirty turner the reaction leaves behind one or more ash objects different from the original constellation.

One-time turners are an important component for slow salvo synthesis, where they are frequently used to change the direction from which a trigger glider will hit the reaction site. They may be 90-degree or 180-degree, or they may be 0-degree with the output in the same direction as the input (in which case they may instead be referred to as one-time rephasers). Shown on the top row below are the four 90-degree turner reactions that use common small ash objects: boat, eater 1, long boat, and toad.

x = 90, y = 98, rule = B3/S23 o19bo19bo19bo19bo$b2o18b2o18b2o18b2o18b2o$2o18b2o18b2o18b2o18b2o6b2o$ 88b2o2$4b2o13b2o20bo22bo$3bobo12bobo19bobo20bo2bo16b2o$4bo13bo22bobo 19bo2bo16b2o$17b2o23b2o21bo12$o19bo19bo5b2o32bo$b2o18b2o18b2o3b2o33b2o $2o18b2o18b2o38b2o3$2bo20b2o58b2o$bobo18bobo17b2o37bo2bo$obo18bobo18b 2o37b2o$2o19b2o12$o19bo$b2o8bo9b2o5b2o50bo$2o8bobo7b2o5bobo51b2o$9bobo 16bo51b2o$9b2o75b2o$86b2o2$6b2o$5bo2bo$5bo2bo74b2o$6b2o17b2o55bobo$16b o7bo2bo53bobo$14b2o9b2o53bobo$15b2o64bo2$44b3o$44bo$45bo28$o39bo19bo 19bo$b2o38b2o18b2o18b2o$2o38b2o18b2o18b2o2$10bo36bo$4b2o3bobo29bo4bobo 11bo17b2o$3bobo4bobo27bobo3b2o11bobo16b2o$4bo6b2o28bobo14bo2bo$42b2o 15b2o$84bo$83bobo$67b2o14b2o$67b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 2 ZOOM 7 THEME 6 GPS 10 LOOP 75 ]]
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RLE: here Plaintext: here

Of the reactions on the first row, the glider output is the same parity for all but the long boat. The three still lifes are all colour-changing, but the toad happens to be a colour-preserving turner.

Many small one-time turner constellations have also been catalogued.[1] The two-block turner directly below the toad is also colour-changing, but has the opposite parity.

In the southwest corner above are three of the simplest 180-degree turners. The Blockic turner is colour-preserving. The long boat and long ship are again colour-changing; this is somewhat counterintuitive as the output glider is on exactly the same lane as the input glider, but gliders traveling in opposite directions on the same lane always have opposite colours.

A one-time turner reaction can be used as part of a glider injection mechanism, or as a switching mechanism for a signal. If a previous reaction has created the sacrificial bait object, then a later glider is turned onto a new path. Otherwise it passes through the area unaffected. This is one way to create simple switching systems or logic circuits such as the demultiplexer.

References

  1. Michael Simkin (November 27, 2014). "Splitters with common SL". Retrieved on January 28, 2018.

External links