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|rle          = true
|rle          = true
|animated    = true
|animated    = true
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
}}
}}
A '''blinker fuse''' is any [[fuse]] that burns through a line of [[blinker]]s. Alternatively, it may refer to the 2c/3 period 18 fuse that burns [[clean]]ly through [[blinker]]s that are spaced four [[cell]]s apart, shown to the right. This particular fuse can be combined with [[blinker puffer 1]] to create various interesting patterns, such as [[moving sawtooth]], [[slow puffer 1]], and [[slow puffer 2]].
A '''blinker fuse''' is any [[fuse]] that burns through a line of [[blinker]]s. Alternatively, it may refer to the 2c/3 period 18 fuse that burns [[clean]]ly through [[blinker]]s that are spaced four [[cell]]s apart, shown to the right. This particular fuse can be combined with [[blinker puffer 1]] to create various interesting patterns, such as [[moving sawtooth]], [[slow puffer 1]], and [[slow puffer 2]].
Line 24: Line 25:
==== 2c/3 orthogonal ====
==== 2c/3 orthogonal ====
There are two other well-known 2c/3 blinker fuses that act on blinkers that are orthogonally offset by four cells, both of which are shown below. They both burn cleanly and have period 6.<ref>{{CiteSummersPattern|name=jslife|accessdate=May 27, 2009}}</ref>
There are two other well-known 2c/3 blinker fuses that act on blinkers that are orthogonally offset by four cells, both of which are shown below. They both burn cleanly and have period 6.<ref>{{CiteSummersPattern|name=jslife|accessdate=May 27, 2009}}</ref>
 
{{gallery top}}
{| style='width:300px;'
{{gallery item|{{EmbedViewer
|{{EmbedViewer
|pname       = blinkerfuse2
|pname = blinkerfuse2
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|position    = center
|position    = center
|caption      = A longer house fuse with a shorter period of 6
|style        = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname        = blinkerfuse3
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|caption      = A longer house fuse with a shorter period of 6
}}
|-
|{{EmbedViewer
|pname = blinkerfuse3
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|caption      = A blinker fuse known as a "bomb fuse" for its shape
|caption      = A blinker fuse known as a "bomb fuse" for its shape
}}
|style        = width:300px;
|}
}}}}
{{gallery bottom}}


==== 4c/5 orthogonal ====
==== 4c/5 orthogonal ====
The 4c/5 fuse burns through alternating blinkers with the same spacing as the 2c/3 fuses. It was reported by [[Hugh Thompson]] in {{year|1971}}.<ref>{{CiteLifeline|vol=4|pages=page 7}}</ref>
The 4c/5 fuse burns through alternating blinkers with the same spacing as the 2c/3 fuses. It was reported by [[Hugh Thompson]] in {{year|1971}}.<ref>{{CiteLifeline|vol=4|pages=page 7}}</ref>


{|
{{EmbedViewer
|{{EmbedViewer
|pname       = blinkerfuse4c5
|pname = blinkerfuse4c5
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|caption      = The 4c/5 blinker fuse
|caption      = The 4c/5 blinker fuse<br />
|style        = width:300px;
}}
}}
|}


==== c/2 orthogonal ====
==== c/2 orthogonal ====
The c/2 blinker fuse burns cleanly through blinkers that are orthogonally offset by an even number of cells and has period 2x spacing. HWSS burns clearly through output of both Blinker Puffers 1 and 2 and front part of [[Blinker ship 1]].<ref name="hensel">[[Alan Hensel]]'s [http://www.ibiblio.org/lifepatterns/ lifep.zip pattern collection].</ref> It consists of a single [[heavyweight spaceship]] and is useful because it travels at the same speed as the known [[blinker puffer]]s, allowing for the construction of arbitrary-length [[spaceship]]s. Note that [[Coe ship]]'s side spark can also be used in cleanup.
The c/2 blinker fuse burns cleanly through blinkers that are orthogonally offset by an even number of cells and has period 2x spacing. HWSS burns clearly through output of both Blinker Puffers 1 and 2 and front part of [[Blinker ship 1]].<ref name="hensel">[[Alan Hensel]]'s [http://www.ibiblio.org/lifepatterns/ lifep.zip pattern collection].</ref> It consists of a single [[heavyweight spaceship]] and is useful because it travels at the same speed as the known [[blinker puffer]]s, allowing for the construction of arbitrary-length [[spaceship]]s. Note that [[Coe ship]]'s side spark can also be used in cleanup.


{|
{{EmbedViewer
|{{EmbedViewer
|pname       = blinkerfusec2
|pname = blinkerfusec2
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|caption      = The c/2 HWSS blinker fuse
|caption      = The c/2 HWSS blinker fuse<br />
|style        = width:300px;
}}
}}
|}


==== 6c/13 orthogonal ====
==== 6c/13 orthogonal ====
Line 70: Line 69:
In January {{year|2021}}, [[INoMed]] constructed an adjustable high-period [[3c/7 orthogonal]] [[puffer]] that repeatedly ignites this fuse.<ref name="post119547" />
In January {{year|2021}}, [[INoMed]] constructed an adjustable high-period [[3c/7 orthogonal]] [[puffer]] that repeatedly ignites this fuse.<ref name="post119547" />


{|
{{EmbedViewer
|{{EmbedViewer
|pname       = blinkerfuse6c13
|pname = blinkerfuse6c13
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8.5 ]]
|caption      = The 6c/13 blinker fuse
|caption      = The 6c/13 blinker fuse<br />
|style        = width:300px;
}}
}}
|}


==== 8c/15 orthogonal ====
==== 8c/15 orthogonal ====
An 8c/15 orthogonal blinker fuse exists which burns through a row of alternating blinkers as follows:
An 8c/15 orthogonal blinker fuse exists which burns through a row of alternating blinkers as follows:


{|
{{EmbedViewer
|{{EmbedViewer
|pname       = blinkerfuse8c15
|pname = blinkerfuse8c15
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 4 ]]
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 4 ]]
|caption      = The 8c/15 blinker fuse
|caption      = The 8c/15 blinker fuse<br />
|style        = width:300px;
}}
}}
|}


==== 8c/21 orthogonal ====
==== 8c/21 orthogonal ====
Another blinker fuse which runs on the traffic light, similarly to the 6c/13 fuse.
Another blinker fuse which runs on the traffic light, similarly to the 6c/13 fuse.


{|
{{EmbedViewer
|{{EmbedViewer
|pname       = blinkerfuse8c21
|pname = blinkerfuse8c21
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|caption      = The 8c/21 blinker fuse
|caption      = The 8c/21 blinker fuse<br />
|style        = width:300px;
}}
}}
|}


==== c/10 orthogonal ====
==== c/10 orthogonal ====
The c/10 blinker fuse burns cleanly through blinkers that are orthogonally offset. It consists of a single [[copperhead]] and can be used to create spaceships that grow very quickly.
The c/10 blinker fuse burns cleanly through blinkers that are orthogonally offset. It consists of a single [[copperhead]] and can be used to create spaceships that grow very quickly.


{|
{{EmbedViewer
|{{EmbedViewer
|pname       = blinkerfusecopperheadc10
|pname = blinkerfusecopperheadc10
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|caption      = The c/10 copperhead blinker fuse
|caption      = The c/10 copperhead blinker fuse<br />
|style        = width:300px;
}}
}}
|}


=== Diagonal ===
=== Diagonal ===
There is a diagonal blinker fuse involving a [[B-heptomino]] reacting with a line of blinkers.
There is a diagonal blinker fuse involving a [[B-heptomino]] reacting with a line of blinkers.


{|
{{EmbedViewer
|{{EmbedViewer
|pname       = blinkerfusediagonal1
|pname = blinkerfusediagonal1
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 4 ]]
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 5 ]]
|caption      = The diagonal blinker fuse
|caption      = The diagonal blinker fuse<br />
|style        = width:300px;
}}
}}
|}


[[Block and glider]] can engage in a similar reaction, forming a glide-reflective 2c/44 diagonal blinker fuse.<ref>{{LinkForumThread | format = ref | title = Re: Thread for your unsure discoveries | p = 128649 | author = Christopher D'Agostino | date = April 21, 2021 }}</ref>
[[Block and glider]] can engage in a similar reaction, forming a glide-reflective 2c/44 diagonal blinker fuse.<ref>{{LinkForumThread | format = ref | title = Re: Thread for your unsure discoveries | p = 128649 | author = Christopher D'Agostino | date = April 21, 2021 }}</ref>


{|
{{EmbedViewer
|{{EmbedViewer
|pname       = blinkerfusediagonal2
|pname = blinkerfusediagonal2
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8.5 ]]
|caption      = The diagonal 2c/44 blinker fuse
|caption      = The diagonal 2c/44 blinker fuse<br />
|style        = width:300px;
}}
}}
|}


== See also ==
== See also ==
Line 145: Line 138:
<references>
<references>
<ref name="post119547">{{LinkForumThread
<ref name="post119547">{{LinkForumThread
|format    = ref
|p          = 119547
|p          = 119547
|format    = ref
|title      = Re: Spaceship Discussion Thread
|title      = Re: Spaceship Discussion Thread
|author    = iNoMed
|author    = iNoMed
Line 154: Line 147:


== External links ==
== External links ==
{{LinkLexicon|lex_b.htm#blinkerfuse}}
* {{LinkLexicon|lex_b.htm#blinkerfuse}}
* [http://echochamber.me/viewtopic.php?f=17&t=39017 A pattern in the Game of Life] - Forum thread at xkcd.com
* [http://echochamber.me/viewtopic.php?f=17&t=39017 A pattern in the Game of Life] - Forum thread at xkcd.com


{{Symmetry|orthogonal2}}
{{Symmetry|orthogonal2}}
__NOTOC__
__NOTOC__

Revision as of 22:36, 18 May 2023

Blinker fuse
#C A period 18 blinker fuse which travels at 2c/3. x = 45, y = 5, rule = B3/S23 2o2bob2o$5obobo$8bob3ob3ob3ob3ob3ob3ob3ob3ob3o$5obobo$2o2bob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 ]]
View animated image
View static image
Pattern type Fuse
Period 18
Speed 2c/3
Discovered by Unknown
Year of discovery Unknown

A blinker fuse is any fuse that burns through a line of blinkers. Alternatively, it may refer to the 2c/3 period 18 fuse that burns cleanly through blinkers that are spaced four cells apart, shown to the right. This particular fuse can be combined with blinker puffer 1 to create various interesting patterns, such as moving sawtooth, slow puffer 1, and slow puffer 2.

House alone, attached to a blinker wick with spacing 4, is a predecessor to the fuse shown in the infobox (also known as a "house fuse").

Other blinker fuses

Orthogonal

2c/3 orthogonal

There are two other well-known 2c/3 blinker fuses that act on blinkers that are orthogonally offset by four cells, both of which are shown below. They both burn cleanly and have period 6.[1]

#C A period 6 blinker fuse which travels at 2c/3. x = 62, y = 5, rule = B3/S23 ob3obo2bob2o49b$ob3ob4obobo48b$13bob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob 3o$ob3ob4obobo48b$ob3obo2bob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
A longer house fuse with a shorter period of 6
(click above to open LifeViewer)
RLE: here Plaintext: here
#C An asymmetric period 6 blinker fuse which travels at 2c/3. x = 48, y = 7, rule = B3/S23 2b3o43b$bob3o42b$2o2b3o41b$b2o4bob3ob3ob3ob3ob3ob3ob3ob3ob3ob3o$b2ob3o 41b$2b4o42b$3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
A blinker fuse known as a "bomb fuse" for its shape
(click above to open LifeViewer)
RLE: here Plaintext: here


4c/5 orthogonal

The 4c/5 fuse burns through alternating blinkers with the same spacing as the 2c/3 fuses. It was reported by Hugh Thompson in 1971.[2]

x = 34, y = 5, rule = B3/S23 29bo$o7bo7bo7bo3bo3b2o$o2b3o2bo2b3o2bo2b3o2bo2bo5bo$o7bo7bo7bo3bo3b2o$ 29bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 ]]
The 4c/5 blinker fuse
(click above to open LifeViewer)
RLE: here Plaintext: here

c/2 orthogonal

The c/2 blinker fuse burns cleanly through blinkers that are orthogonally offset by an even number of cells and has period 2x spacing. HWSS burns clearly through output of both Blinker Puffers 1 and 2 and front part of Blinker ship 1.[3] It consists of a single heavyweight spaceship and is useful because it travels at the same speed as the known blinker puffers, allowing for the construction of arbitrary-length spaceships. Note that Coe ship's side spark can also be used in cleanup.

x = 28, y = 9, rule = b3/s23 b6o21b$o5bo21b$6bo21b$o4bo22b$2b2o24b2$3bo3bo3bo3bo3bo3bo3bo$3bo3bo3bo 3bo3bo3bo3bo$3bo3bo3bo3bo3bo3bo3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 ]]
The c/2 HWSS blinker fuse
(click above to open LifeViewer)
RLE: here Plaintext: here

6c/13 orthogonal

The 6c/13 blinker fuse burns cleanly through blinkers that are orthogonally offset by six cells and has period 26.[3] It is most well-known for the role that it plays in blinker ship 1, where the fact that it burns at a rate slower than c/2 is taken advantage of to create a growing spaceship.

In January 2021, INoMed constructed an adjustable high-period 3c/7 orthogonal puffer that repeatedly ignites this fuse.[4]

x = 62, y = 3, rule = b3/s23 3o4bo5bo5bo5bo5bo5bo5bo5bo5bo5bo$obo4bo5bo5bo5bo5bo5bo5bo5bo5bo5bo$3o 4bo5bo5bo5bo5bo5bo5bo5bo5bo5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
The 6c/13 blinker fuse
(click above to open LifeViewer)
RLE: here Plaintext: here

8c/15 orthogonal

An 8c/15 orthogonal blinker fuse exists which burns through a row of alternating blinkers as follows:

x = 123, y = 9, rule = B3/S23 5bo$4bobo$3bobo7bo5b2o$3obo8bo5bobo11bo15bo15bo15bo15bo15bo$3o4b3o4b2o 5bo2b3o6bo6b3o6bo6b3o6bo6b3o6bo6b3o6bo6b3o6bo6b3o$3obo8bo5bobo11bo15bo 15bo15bo15bo15bo$3bobo7bo5b2o$4bobo$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 4 ]]
The 8c/15 blinker fuse
(click above to open LifeViewer)
RLE: here Plaintext: here

8c/21 orthogonal

Another blinker fuse which runs on the traffic light, similarly to the 6c/13 fuse.

x = 40, y = 3, rule = B3/S23 3o4bo15bo15bo$obo4bo6b3o6bo6b3o6bo$3o4bo15bo15bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 ]]
The 8c/21 blinker fuse
(click above to open LifeViewer)
RLE: here Plaintext: here

c/10 orthogonal

The c/10 blinker fuse burns cleanly through blinkers that are orthogonally offset. It consists of a single copperhead and can be used to create spaceships that grow very quickly.

x = 27, y = 10, rule = B3/S23 5bo$5bo$6bo2bo$4b3ob2obo$2o6b2ob2o$2o6b2ob2o$4b3ob2ob2obo3bo3bo3bo$6bo 2bo4bo3bo3bo3bo$5bo8bo3bo3bo3bo$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 ]]
The c/10 copperhead blinker fuse
(click above to open LifeViewer)
RLE: here Plaintext: here

Diagonal

There is a diagonal blinker fuse involving a B-heptomino reacting with a line of blinkers.

x = 53, y = 48, rule = B3/S23 ob2o$3o$bo6$14b3o$bo$bo$bo9$26b3o$13bo$13bo$13bo9$38b3o$25bo$25bo$25bo 9$50b3o$37bo$37bo$37bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 4 ]]
The diagonal blinker fuse
(click above to open LifeViewer)
RLE: here Plaintext: here

Block and glider can engage in a similar reaction, forming a glide-reflective 2c/44 diagonal blinker fuse.[5]

x = 29, y = 26, rule = B3/S23 20b3o3$17b3o8bo$28bo$28bo$14b3o8bo$25bo$25bo$11b3o8bo$22bo$22bo$8b3o8b o$19bo$19bo$5b3o8bo$16bo$16bo$2b3o8bo$13bo$13bo$10bo$10bo$2o8bo$obo$2b 2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
The diagonal 2c/44 blinker fuse
(click above to open LifeViewer)
RLE: here Plaintext: here

See also

References

  1. ↑ Jason Summers' jslife pattern collection. Retrieved on May 27, 2009.
  2. ↑ Robert Wainwright (December 1971). Lifeline, vol 4, page 7.
  3. ↑ 3.0 3.1 Alan Hensel's lifep.zip pattern collection.
  4. ↑ iNoMed (January 19, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  5. ↑ Christopher D'Agostino (April 21, 2021). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums


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