R126

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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 ]]
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; 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 = 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
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RLE: here Plaintext: here
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
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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]).[2]

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
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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
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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.[3]

Notes

References

  1. Sergey Petrov (December 28, 2011). Re: Finally trying out stable Herschel tracks... (discussion thread) at the ConwayLife.com forums
  2. Shannon Omick (December 30, 2011). Re: Finally trying out stable Herschel tracks... (discussion thread) at the ConwayLife.com forums
  3. Goldtiger997 (June 20, 2020). Re: Stable signal converters (discussion thread) at the ConwayLife.com forums