R126

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 ]]
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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
Rules Outer-totalistic rules B3/S23 – B38/S23 # of rules 21 = 2 Isotropic rules B3/S23 – B38/S235e
Pattern files Plaintext r126.cells RLE r126.rle

R126 is an elementary conduit discovered by Sergey Petrov and reported on December 28, 2011. 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. 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) and population (83 cells for the gun and 111 for the capped oscillator form).

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.