HLx111R

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HLx111R
x = 27, y = 32, rule = B3/S23 17bo$16bobo$16bo8$24b2o$24b2o12$o$obo20b2o$3o20bo$2bo10b2o3b2o4b3o$11b o2bo4bo6bo$11b3o4bo$18b2o$11b2obo$11bob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ ZOOM 16 GPS 20 LOOP 140 PAUSE 2 T 111 PAUSE 2 WIDTH 600 HEIGHT 600 THUMBSIZE 2 ]]
Pattern type Conduit
Conduit type Converter
Input Herschel
Output R-pentomino
Number of cells 37
Bounding box 27 × 22
Output orientation Turned left, flipped
Step 111 ticks
Recovery time
(ignoring FNG if any)
94 ticks
Minimum overclock period
(ignoring FNG if any)
Unknown
Spartan? No
Dependent? No
Discovered by Matthias Merzenich
Year of discovery 2012

HLx111R is an elementary converter found by Matthias Merzenich with ptbsearch in September 2012.[1] Consisting of a cis-snake on bookend (or easier constructed cis-mirrored bookend), a snake (or easier constructed eater 1), an eater 1 and a block, the converter transforms a Herschel to an R-pentomino in 111 ticks.

Its repeat time is 94 ticks, because the first block dropped by Herschel is to be removed by later chaos, instead of an usual eater as in F117.

Next month, Sergey Petrov noticed that if the input Herschel comes from generation 20 of a B-heptomino, then the block it leaves can be deleted with the extra glider from RR56H, resulting in a converter shown below, labelled BBx187H.[2] It has very good input clearance, but at the cost of high repeat time that depends on different preceding conduits; for example, it is 271 ticks with RF28B, 274 ticks with BRx46B or HF95P + PT9B, 277 ticks with HL75P + PT9B, or 278 ticks with HFx58B.

x = 35, y = 44, rule = B3/S23 13bo$13bo$11b3o9b2o3b2o$11bo11b2o3b2o8$31b2o$16b2o13b2o$16b2o9$32b2o$ 32b2o13$2o29b2o$b2o28bo$2o19b2o3b2o4b3o$o18bo2bo4bo6bo$19b3o4bo$26b2o$ 19b2obo$19bob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 AUTOSTART GPS 20 LOOP 280 PAUSE 2 T 20 PAUSE 2 T 131 PAUSE 2 T 187 PAUSE 2 WIDTH 600 HEIGHT 600 THUMBSIZE 2 ]]
BBx187H
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 80, y = 97, rule = B3/S23 6b2o$7bo14b2o$7bobo12b2o9b2o$8b2o23b2o2$4b2o36b2o$4bo37b2o$5b3o$7bo$2b 2o$3bo30b3o5b2o$2bo39b2o$2b2o2b2o$5bobo$4obo$o2bob2o20bo$25b2o$26b2o4b 2o$32b2o$55bo$53b3o$43b3o6bo$43bo8b2o$42b3o6$57b2o$57bo$55bobo$55b2o3$ 41b2o$7b2o31bobo$7b2o31bo$39b2o2$75b2o$66b2o7b2o$43b2o21b2o$43b2o$30b 2o4b2o$29bo2bo3b2o37bo$30b2o42bobo$74bobo$4bo70bo$3bobo$3bobo42b2o$4bo 37b2o3bo2bo$42b2o4b2o$35b2o$12b2o21b2o$3b2o7b2o$3b2o2$39b2o$39bo31b2o$ 37bobo31b2o$37b2o3$23b2o$22bobo$22bo$21b2o6$35b3o$26b2o8bo$27bo6b3o$ 24b3o$24bo$46b2o$46b2o4b2o$53b2o$52bo20b2obo2bo$74bob4o$72bobo$72b2o2b 2o$36b2o39bo$36b2o5b3o30bo$76b2o$72bo$72b3o$36b2o37bo$36b2o36b2o2$45b 2o23b2o$45b2o9b2o12bobo$56b2o14bo$72b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 WIDTH 740 HEIGHT 800 AUTOSTART ]]
A sample p337 double-barrelled gun that uses this conduit twice
(click above to open LifeViewer)
RLE: here Plaintext: here

Related conduits

The two initial catalysts in HLx111R are also used in several other elementary H-to-X conduits, as shown below.

x = 38, y = 34, rule = B3/S23 20b2o$10bo10bo$10b3o8bobo11bo$13bo8b2o10bobo$12b2o22b2o11$2o$bo32b2o$b obo30bo$2b2o31b3o$37bo6$2bo$2bobo20b2o$2b3o20bo$4bo10b2o3b2o4b3o$13bo 2bo4bo6bo$13b3o4bo$20b2o$13b2obo$13bob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 20 LOOP 180 PAUSE 2 T 166 PAUSE 2 WIDTH 600 HEIGHT 600 THUMBSIZE 2 ]]
HL166W, found by Matthias Merzenich in September 2012[1]
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 33, y = 30, rule = B3/S23 19bo$17b3o$16bo$16b2o$28b2o$12b2o14bo$12b2o8b2o5bo$22b2o4b2o4$30b2o$ 32bo$30b2o$30bo7$o$obo20b2o$3o20bo$2bo10b2o3b2o4b3o$11bo2bo4bo6bo$11b 3o4bo$18b2o$11b2obo$11bob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 20 LOOP 130 PAUSE 2 T 110 PAUSE 2 WIDTH 600 HEIGHT 600 THUMBSIZE 2 ]]
HF110B, found by Simon Ekström in September 2015[3]
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 29, y = 24, rule = B3/S23 10bo$10b3o8b2o$13bo8bo$12b2o8b3o2$2o$bo$bobo$2b2o6$25b2o$2bo22bobo$2bo bo22bo$2b3o22b2o$4bo10b2o3b2o$13bo2bo4bo$13b3o4bo$20b2o$13b2obo$13bob 2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 20 LOOP 160 PAUSE 2 T 86 PAUSE 2 WIDTH 600 HEIGHT 600 THUMBSIZE 2 ]]
Lx86 (HLx86H), found by Tanner Jacobi in March 2016[4]
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 42, y = 41, rule = B3/S23 24bo$23bobo$22b2obo2$40b2o$39bobo$39bo$38b2o$10bo26bo$10b3o24b3o$13bo 26bo$12b2o25b2o4$36bo$35bobo$36bo5$2o$bo$bobo$2b2o7$2bo$2bobo20b2o$2b 3o20bo$4bo10b2o3b2o4b3o$13bo2bo4bo6bo$13b3o4bo$20b2o$13b2obo$13bob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 20 LOOP 200 PAUSE 2 T 185 PAUSE 2 WIDTH 600 HEIGHT 600 THUMBSIZE 2 ]]
HLx185B, found by Luka Okanishi in April 2016[5]
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 43, y = 40, rule = B3/S23 19bo$19b3o7b2o$22bo6b2o$21b2o3$40b2o$10bo31bo$10b3o27b2o$13bo26bo$12b 2o4$36bo$35bobo$36bo5$2o$bo$bobo$2b2o7$2bo$2bobo20b2o$2b3o20bo$4bo10b 2o3b2o4b3o$13bo2bo4bo6bo$13b3o4bo$20b2o$13b2obo$13bob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 20 LOOP 230 PAUSE 2 T 214 PAUSE 2 WIDTH 600 HEIGHT 600 THUMBSIZE 2 ]]
HF214B, found by Luka Okanishi in April 2016[5]
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 27, y = 33, rule = B3/S23 24b2o$15b2o9bo$15b2o7b2o$24bo6$22b2o$22b2o14$o$obo20b2o$3o20bo$2bo10b 2o3b2o4b3o$11bo2bo4bo6bo$11b3o4bo$18b2o$11b2obo$11bob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 20 LOOP 144 PAUSE 2 T 132 PAUSE 2 WIDTH 600 HEIGHT 600 THUMBSIZE 2 ]]
HF132B, found by Daniel Vargas in January 2022[6]
(click above to open LifeViewer)
RLE: here Plaintext: here

References

  1. 1.0 1.1 Matthias Merzenich (September 8, 2012). Re: Finally trying out stable Herschel tracks... (discussion thread) at the ConwayLife.com forums
  2. Sergey Petrov (October 18, 2012). Re: Finally trying out stable Herschel tracks... (discussion thread) at the ConwayLife.com forums
  3. Simon Ekström (September 29, 2015). Re: The Hunting of the New Herschel Conduits (discussion thread) at the ConwayLife.com forums
  4. Tanner Jacobi (March 14, 2016). Re: The Hunting of the New Herschel Conduits (discussion thread) at the ConwayLife.com forums
  5. 5.0 5.1 Luka Okanishi (April 13, 2016). Re: The Hunting of the New Herschel Conduits (discussion thread) at the ConwayLife.com forums
  6. Daniel Vargas (January 16, 2022). Re: The Hunting of the New Herschel Conduits (discussion thread) at the ConwayLife.com forums