Lx73

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Lx73
x = 37, y = 33, rule = B3/S23 5b2o$6bo2b2o$6bobobo3b2o$7bo7bo$15b3o$9bo$8bobo$9bo$6b3o13b2o$6bo16bo 8b2o$23bob2o5bo$2o20b2obobo5bo$bo25bo4b2o$bobo22b2ob2o$2b2o20b2obobob 5o$23bobobo8bo$22b2ob2ob4o3b2o$22bo3bo5bo$22bo7b2o$22bo7b2o$22bo3bo5bo $2bo19b2ob2ob4o3b2o$2bobo18bobobo8bo$2b3o19b2obobob5o$4bo21b2ob2o$27bo 4b2o$22b2obobo5bo$23bob2o5bo$23bo8b2o$16b2o4b2o$16bo$17b3o$19bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ ZOOM 12 GPS 20 LOOP 140 PAUSE 2 T 73 PAUSE 2 WIDTH 480 HEIGHT 480 THUMBSIZE 2 ]]
Pattern type Conduit
Conduit type Elementary
Input Herschel
Number of cells 134
Bounding box 37 × 33
Output orientation Turned left, flipped
Output offset (12, -20)
Step 73 ticks
Recovery time
(ignoring FNG if any)
70 ticks
Minimum overclock period
(ignoring FNG if any)
Unknown
Spartan? No
Dependent? No
Discovered by David Buckingham
Scot Ellison
Year of discovery Unknown

Lx73 is a periodic elementary conduit. After 73 ticks, it produces an inverted Herschel turned 90 degrees counterclockwise at (12, -20) relative to the input. The form shown in the infobox has a recovery time of 70 ticks; without the block-suppressing eater 1 and the eater 5 that eats the output's first natural glider, the recovery time increases to 120 ticks.

History

In 1991, about the same time some p8 R64 conduits were discovered, Dave Buckingham constructed two p8 versions of Lx73, one of which uses a figure eight and the other one two blockers. The second variant releases an extra glider to the southeast, enabling the construction of gunstar 2 on November 20.

x = 74, y = 38, rule = B3/S23 12b2o48b2o$13bo49bo$13b3o47b3o8$71b2o$21b2o47bobo$69b3o$19bo3bo45b2o$ 19bo4bo47b2o$21bobobo45b3o$22bobobo$23bo4bo$24bo3bo42b2o$o49bo20b2o$ob o22b2o23bobo$3o47b3o$2bo49bo11$56b2o$56b3o$50b2o2bo2bobo$50b2o2b2o2b2o $54b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 10 GPS 20 LOOP 140 PAUSE 2 T 73 PAUSE 2 WIDTH 800 HEIGHT 600 ]]
Two p8 versions of Lx73
(click above to open LifeViewer)
RLE: here Plaintext: here

In May 2007, Scot Ellison found a smaller version of the heavyweight volcano for the conduit, as shown in the infobox.[1] It has better clearance in the north, allowing an initial eater 1 catalyst positioned as in Fx77 or in F117 without welding; this is necessary in most elementary H-to-X conduits. For comparison an older, bulkier p5 variant is employed in the period-435 glider gun followed by R64.

Variants

Sparkers at other periods can also support the conduit, for example p6 pipsquirter, p7 pipsquirter and a p9 thumb. The interaction between spark and Herschel is slightly different from the p5 and p8 variants.

x = 128, y = 33, rule = B3/S23 12b2o48b2o48b2o$13bo49bo49bo$13b3o47b3o47b3o7$121b2o$121b2o$73b2o$24b 2o46bobo44b6o$24bobo45bo46bo2bo2bo$22bobobo44b2obo2bo43bob2o$21bobobob 2o42bo2b4o42bobo2b3o$20b2o3bo3bo42b2o45b2obobo2bo$21bo2bob3o42bo2b4o 42bo3bo$21b2obobo44b2obo3bobo40b2obobo$o23bo25bo21bo4bob2o19bo21bo2b2o $obo22bo24bobo19bob2obo22bobo17bobo$3o20bo26b3o17b2obo3bo22b3o17b2o$2b o20bo2bo25bo18bobo2b2ob2o21bo$24b2obo43bobobo2bobo$27bo41b2o2bo2bobo$ 27b2o41bobo5bo$70bob5ob2o$14b2o48b2o5bo6bo35b2o$14bo49bo7b2o2bobo35bo$ 15b3o47b3o6b4o37b3o$17bo49bo2b3o44bo$70bo2b7o$73bo2bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 10 GPS 20 LOOP 140 PAUSE 2 T 73 PAUSE 2 WIDTH 1400 HEIGHT 600 ]]
p6, p7 and p9 versions of Lx73
(click above to open LifeViewer)
RLE: here Plaintext: here

In the patterns shown above, ghost Herschels mark the output Herschels' locations.

HLx53B

As can be seen at generation 53, an intermediate B-heptaplet forms inside an Lx73 conduit, which will evolve into the output Herschel 20 generations later. Meanwhile the residual block is cleaned along with other junks. If instead the block survives, the mechanism will become a Herschel to B-heptomino converter known as HLx53B:

x = 24, y = 20, rule = B3/S23 2o$bo20b2o$bobo18bo$2b2o16bobo$20b2o6$2bo$2bobo$2b3o$4bo2$14b2o$14b2o 2b2o$18bobo$20bo$20b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 10 Y -3 GPS 20 LOOP 74 PAUSE 2 T 53 PAUSE 2 T 73 PAUSE 2 WIDTH 480 HEIGHT 400 ]]
HLx53B converter
(click above to open LifeViewer)
RLE: here Plaintext: here

After the discovery of BFx59H by Dave Buckingham, it immediately led to L112. The known stable BF20H variants does not fit due to the initial block-eating eater 1, and thus a simple, stable Lx73 has not been discovered.

The Lx73 variant with a figure eight above accommodates Fx119 when succeeded by BFx59H, making an L112-based Herschel duplicator.[2]

See also

References

  1. New p5 Herschel technology at Game of Life News. Posted by Dave Greene on February 1, 2008.
  2. nokangaroo (January 9, 2018). L112 Herschel duplicator with p8 oscillator (discussion thread) at the ConwayLife.com forums