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Line 4: Line 4:
|type        = elementary
|type        = elementary
|conduitfor  = Herschel
|conduitfor  = Herschel
|bx          = 27
|by          = 19
|c            = 26
|c            = 26
|m            = R
|m            = R
Line 14: Line 16:
|discoveryear = 2011
|discoveryear = 2011
|rulemin      = B3/S23
|rulemin      = B3/S23
|rulemax      = B38/S238
|rulemax      = B38/S23
|rulespecial  = [[Conway's Game of Life|Conway Life]]
|rulespecial  = [[Conway's Game of Life|Conway Life]]
|isorulemin      = B3/S23
|isorulemin      = B3/S23
Line 20: Line 22:
|plaintext    = true
|plaintext    = true
|rle          = true
|rle          = true
|viewerconfig = #C [[ ZOOM 16 GPS 20 LOOP 127 PAUSE 2 T 126 PAUSE 2 WIDTH 480 HEIGHT 480 THUMBSIZE 2 ]]
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 16 HEIGHT 480 GPS 15 T 0 PAUSE 2 T 126 PAUSE 2 LOOP 127 ]]
}}
}}
'''R126''' is an [[elementary conduit]] discovered by [[Sergey Petrov]] and reported on December 28, {{year|2011}}.<ref name="post5850" /> After 126 ticks, it produces a [[Herschel]] rotated 90 degrees clockwise at (-2, 8) relative to the input. Consisting of an [[eater 1]], a [[ship]] and a [[transparent]] [[beehive]], it is [[Spartan]].
'''R126''' is an [[elementary conduit]] discovered by [[Sergey Petrov]] and reported on December 28, {{year|2011}}.<ref name="post5850" /> After 126 ticks, it produces a [[Herschel]] rotated 90 degrees clockwise at {{nowrap|(-2, 8)}} relative to the input. Consisting of an [[eater 1]], a [[ship]] and a [[Transparent object|transparent]] [[beehive]], it is [[Spartan]].


As the right turn is very tight, it is difficult to suppress both the input's and output's [[first natural glider]] quickly to get a low [[repeat time]].
As the right turn is very tight, it is practically difficult to suppress both the input's and output's [[first natural glider]] quickly to get a low [[repeat time]]. If preceded by [[BFx59H]], the closest placement of a [[tub-with-tail eater]] gives a composite '''BLx185H''' with a repeat time of 231 ticks.


Four copies can create a period-504 oscillator or glider gun that is small in both bounding box (55×55) and population (83 cells for the gun and 111 for the oscillator).


== Gallery ==
{{EmbedViewer
{{EmbedViewer
|rle          = x = 55, y = 55, rule = B3/S23
|pname        = blx185h
26b2o$26bobo$27b2o3$33bo$7bo24bobo$7b3o22bobo12b2o$10bo22bo13bo$9b2o
|viewerconfig = #C [[ ZOOM 12 GPS 15 LOOP 265 AUTOSTART PAUSE 2 T 59 PAUSE 2 T 185 PAUSE 2 WIDTH 700 HEIGHT 400 THUMBSIZE 2 ]]
34bobo$25b2o18b2o$25bo$23bobo$23b2o7$6b2o$5bo2bo$6b2o$41b2o$41bo$42b3o
$b2o41bo8b2o$obo49bobo$2o8bo41b2o$10b3o$13bo$12b2o8b3o$24bo22b2o$23b3o
20bo2bo$47b2o7$30b2o$29bobo$29bo$8b2o18b2o$7bobo34b2o$7bo13bo22bo$6b2o
12bobo22b3o$20bobo24bo$21bo3$26b2o$26bobo$27b2o!
|position    = center
|position    = center
|viewerconfig = #C [[ GPS 60 THUMBSIZE 2 ]]
|caption      = BLx185H
|caption      = Period-504 oscillator made from four copies of R126
|style="margin:auto;width:300px;"
}}
}}
If the input comes from generation 20 of a [[B-heptomino]] directly, then adding two eaters to absorb both first natural gliders gives a '''BR146H''' with a repeat time of 233 ticks at best (provided certain previous conduits such as a [[BRx46B]]).
{{EmbedViewer
|pname        = br146h
|viewerconfig = #C [[ ZOOM 12 Y -5 GPS 15 LOOP 235 AUTOSTART PAUSE 2 T 20 PAUSE 2 T 146 PAUSE 2 WIDTH 700 HEIGHT 400 THUMBSIZE 2 ]]
|position    = center
|caption      = BR146H
|style="margin:auto;width:300px;"
}}
Alternatively, the first natural glider of the outputted Herschel can escape if BF20He is used to delete the natural block from the B-heptomino input.<ref name="post204996" />  The repeat time of this variant is 213, with [[overclocking]] possible at 155-157 ticks and at 166 ticks.
{{EmbedViewer
|pname        = br146hb
|viewerconfig = #C [[ ZOOM 12 Y -5 GPS 15 LOOP 235 AUTOSTART PAUSE 2 T 20 PAUSE 2 T 146 PAUSE 2 WIDTH 700 HEIGHT 400 THUMBSIZE 2 ]]
|position    = center
|caption      = BR146Hb
|style="margin:auto;width:300px;"
}}
== Applications ==
By adjusting [[catalyst]]s, Sergey Petrov also made a B-heptomino to [[tandem glider]] converter labelled BSW6T73_SW10T285. This G4 glider pair can be [[ambidextrous]]ly received by his earlier [[G4 receiver]].
Similar to four copies of [[R64]] leading to a [[period-256 glider gun]], four of R126 conduits can create a '''period-504 glider gun''' that is small in both bounding box ({{times|55|55}}){{refn|group=note|The record has since been surpassed by {{LinkCatagolue|gun_504|style=raw|patternname=another design}} based on [[period-21 glider gun]] and period multipliers.}} and population (83 cells for the gun and 111 for the [[capped]] oscillator form<ref group=note>{{LinkCatagolue|xp504_ym356zy364koyh696y6g0s4zyjc871ye11zzy12552yg2bq4y4o8zca6y3oggyp113y3ca6zy823ys8kk8zzy4ggyegs26zy24701y6cicyh354czymcko|style=nobullet}}</ref>).<ref name="post5864" />
{|style="margin:auto;width:300px;"
|{{EmbedViewer
|pname        = btog4
|viewerconfig = #C [[ ZOOM 12 GPS 15 LOOP 320 AUTOSTART PAUSE 2 T 20 PAUSE 2 T 146 PAUSE 2 WIDTH 600 HEIGHT 600 THUMBSIZE 2 ]]
|position    = center
|caption      = B-to-G4 converter
}}
|{{EmbedViewer
|pname        = period504glidergun
|viewerconfig = #C [[ GPS 60 ZOOM 10 WIDTH 600 HEIGHT 600 ]]
|position    = center
|caption      = Period-504 glider gun made from four copies of R126
}}
|}
Another significant construction containing R126 is a [[staged recovery]] [[HWSS]]-to-G converter with repeat time 290, assembled by [[Tanner Jacobi]] and [[Goldtiger997]] in June {{year|2020}}, where the first natural glider from output is used to regenerate a bait boat.<ref name="post99196" />
== Notes ==
<references group="note" />


== References ==
== References ==
<references>
<references>
<ref name="post5850">{{LinkForumThread
<ref name="post5850">{{LinkForumThread
|format     = ref
|format = ref
|p         = 5850
|p     = 5850
|title     = Re: Finally trying out stable Herschel tracks...
|title = Re: Finally trying out stable Herschel tracks...
|author     = Sergey Petrov
|author = Sergey Petrov
|date       = December 28, 2011
|date   = December 28, 2011
}}</ref>
<ref name="post5864">{{LinkForumThread
|format = ref
|p      = 5864
|title  = Re: Finally trying out stable Herschel tracks...
|author = Shannon Omick
|date  = December 30, 2011
}}</ref>
<ref name="post99196">{{LinkForumThread
|format = ref
|p      = 99196
|title  = Re: Stable signal converters
|author = Goldtiger997
|date  = June 20, 2020
}}</ref>
<ref name="post204996">{{LinkForumThread
|format = ref
|p      = 204996
|title  = Re: The Hunting of the Elementary Conduits
|author = Tawal
|date  = February 23, 2025
}}</ref>
}}</ref>
</references>
</references>
__NOTOC__

Latest revision as of 23:12, 23 February 2025

R126
x = 27, y = 24, rule = B3/S23 2o$bo$bobo$2b2o7$19b2o$18bo2bo$3bo15b2o$3bobo$3b3o$5bo$24b2o$24bobo$ 25b2o3$2b3o$2bo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 2 ZOOM 16 HEIGHT 480 GPS 15 T 0 PAUSE 2 T 126 PAUSE 2 LOOP 127 ]]
View static image
Pattern type Conduit
Conduit type Elementary
Input Herschel
Number of cells 26
Bounding box 27 × 19
Output orientation Turned right
Output offset (-2, 8)
Step 126 ticks
Recovery time
(ignoring FNG if any) 		Unknown
Minimum overclock period
(ignoring FNG if any) 		Unknown
Spartan? Yes
Dependent? No
Discovered by Sergey Petrov
Year of discovery 2011

R126 is an elementary conduit discovered by Sergey Petrov and reported on December 28, 2011.[1] After 126 ticks, it produces a Herschel rotated 90 degrees clockwise at (-2, 8) relative to the input. Consisting of an eater 1, a ship and a transparent beehive, it is Spartan.

As the right turn is very tight, it is practically difficult to suppress both the input's and output's first natural glider quickly to get a low repeat time. If preceded by BFx59H, the closest placement of a tub-with-tail eater gives a composite BLx185H with a repeat time of 231 ticks.


x = 45, y = 24, rule = B3/S23 18b2o$19bo$16bo2bobo$b2o4b2o5b3o3b2o$2bo5bo4bo$bo6bobo3bo$b2o6bobo3bo$ 10bo3b2o3$37b2o$36bo2bo$o3b2o31b2o$2o2b2o$b2o$bo$o41b2o$42bobo$43b2o3$ 20b3o$20bo$19b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 GPS 15 LOOP 265 AUTOSTART PAUSE 2 T 59 PAUSE 2 T 185 PAUSE 2 WIDTH 700 HEIGHT 400 THUMBSIZE 2 ]]
BLx185H
(click above to open LifeViewer)
RLE: here Plaintext: here

If the input comes from generation 20 of a B-heptomino directly, then adding two eaters to absorb both first natural gliders gives a BR146H with a repeat time of 233 ticks at best (provided certain previous conduits such as a BRx46B).

x = 34, y = 34, rule = B3/S23 7b2o$8bo$8bobo$9b2o$o$3o$3bo$2b2o3$26b2o$25bo2bo$2bo23b2o$3bo$3b2o$2b 2o$2bo28b2o$31bobo$32b2o3$2b2o5b3o$3bo5bo$3o5b2o$o7$13b2o$12bo2bo$13b 2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 Y -5 GPS 15 LOOP 235 AUTOSTART PAUSE 2 T 20 PAUSE 2 T 146 PAUSE 2 WIDTH 700 HEIGHT 400 THUMBSIZE 2 ]]
BR146H
(click above to open LifeViewer)
RLE: here Plaintext: here

Alternatively, the first natural glider of the outputted Herschel can escape if BF20He is used to delete the natural block from the B-heptomino input.[2] The repeat time of this variant is 213, with overclocking possible at 155-157 ticks and at 166 ticks.

x = 46, y = 37, rule = B3/S23 19b2o$20bo$20bobo$21b2o7$38b2o$37bo2bo$14bo23b2o$15bo$15b2o$14b2o$14b o28b2o$43bobo$44b2o3$7bo13b3o$6bobo12bo$6bobo11b2o$7bo$2o$bo$bobo$2b2o 3b2o$6bo2bo$5bo2bo$5b3o17b2o$2bo21bo2bo$2b4o19b2o$5bo$4bo$4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 Y -5 GPS 15 LOOP 235 AUTOSTART PAUSE 2 T 20 PAUSE 2 T 146 PAUSE 2 WIDTH 700 HEIGHT 400 THUMBSIZE 2 ]]
BR146Hb
(click above to open LifeViewer)
RLE: here Plaintext: here

Applications

By adjusting catalysts, Sergey Petrov also made a B-heptomino to tandem glider converter labelled BSW6T73_SW10T285. This G4 glider pair can be ambidextrously received by his earlier G4 receiver.

Similar to four copies of R64 leading to a period-256 glider gun, four of R126 conduits can create a period-504 glider gun that is small in both bounding box (55 × 55)[note 1] and population (83 cells for the gun and 111 for the capped oscillator form[note 2]).[3]

x = 36, y = 37, rule = B3/S23 11b2o$11b2o2$o$3o$3bo$2b2o7$28b2o$27bo2bo$4bo23b2o$5bo$5b2o$4b2o$4bo 28b2o$33bobo$34b2o2$25b2o$25b2o10$15b2o$14bo2bo$15b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 GPS 15 LOOP 320 AUTOSTART PAUSE 2 T 20 PAUSE 2 T 146 PAUSE 2 WIDTH 600 HEIGHT 600 THUMBSIZE 2 ]]
B-to-G4 converter
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 55, y = 55, rule = B3/S23 27b2o$26bobo$26b2o3$21bo$20bobo24bo$6b2o12bobo22b3o$7bo13bo22bo$7bobo 34b2o$8b2o18b2o$29bo$29bobo$30b2o7$47b2o$46bo2bo$31bo15b2o$12b2o17bobo $13bo17b3o$10b3o20bo$2o8bo41b2o$obo49bobo$b2o41bo8b2o$42b3o$41bo$41b2o $6b2o$5bo2bo$6b2o7$23b2o$23bobo$25bo$25b2o$9b2o$10bo22bo$7b3o22bobo13b o$7bo24bobo14b2o$33bo14b2o3$27b2o$26bobo$26b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 60 ZOOM 10 WIDTH 600 HEIGHT 600 ]]
Period-504 glider gun made from four copies of R126
(click above to open LifeViewer)
RLE: here Plaintext: here

Another significant construction containing R126 is a staged recovery HWSS-to-G converter with repeat time 290, assembled by Tanner Jacobi and Goldtiger997 in June 2020, where the first natural glider from output is used to regenerate a bait boat.[4]

Notes

  1. ↑ The record has since been surpassed by another design based on period-21 glider gun and period multipliers.
  2. ↑ xp504_ym356zy364koyh696y6g0s4zyjc871ye11zzy12552yg2bq4y4o8zca6y3oggyp113y3ca6zy823ys8kk8zzy4ggyegs26zy24701y6cicyh354czymcko at Adam P. Goucher's Catagolue

References

  1. ↑ Sergey Petrov (December 28, 2011). Re: Finally trying out stable Herschel tracks... (discussion thread) at the ConwayLife.com forums
  2. ↑ Tawal (February 23, 2025). Re: The Hunting of the Elementary Conduits (discussion thread) at the ConwayLife.com forums
  3. ↑ Shannon Omick (December 30, 2011). Re: Finally trying out stable Herschel tracks... (discussion thread) at the ConwayLife.com forums
  4. ↑ Goldtiger997 (June 20, 2020). Re: Stable signal converters (discussion thread) at the ConwayLife.com forums
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