Lx65

Lx65
x = 75, y = 67, rule = B3/S23 2bo36bo$2b3o34b3o$5bo2b2o32bo2b2o$4bo2bobo3b2o26bo2bobo3b2o$3bob2o7bo 25bob2o7bo$3bobo8b3o23bobo8b3o$2b2obo2bo30b2obo2bo$bo3bobobo28bo3bobob o$o2b3ob2o28bo2b3ob2o$3o34b3o19b2o$3bo36bo17bo2bo$2b2o5bobobo8bo16b2o 5bobobo6bo4bo$21b2o33bo6bo$13bo32bo9bo6bo$19b3o2bobo30bo4bo$9bobobo7bo b4o19bobobo7bo2bo$25b2o32b2o$13bo36bo$bo36bo$bobo5bobobo24bobo5bobobo$ b3o12b2o20b3o12b2o$3bo11bo2bo2b2o17bo11bo2bo2b2o$15bobo4bo2bo26bobo4bo 2bo$16bo5bobobo26bo5bobobo$19b2obo2bo30b2obo2bo$19bo2bo33bo2bo$16bo4bo 31bo4bo$16b5o32b5o2$18bo36bo$17bobo34bobo$18bo36bo4$2bo36bo$2b3o34b3o$ 5bo2b2o32bo2b2o$4bo2bobo3b2o26bo2bobo3b2o$3bob2o7bo25bob2o7bo$3bobo8b 3o23bobo8b3o$2b2obo2bo30b2obo2bo$bo3bobobo28bo3bobobo$o2b3ob2o28bo2b3o b2o$3o26b2o6b3o22b2o3b2o$3bo24bobo9bo21bobobobo$2b2o5bo3bo12b3o10b2o5b obobo12bo3bo$25bo3bo$9bo3bo7b5o2b2o16bo11bobobo5bobobo$20b3ob2o30b3obo b2o3b2obob3o$9bobobo7b5o2b2o16bobobo7bobobo5bobobo$25bo3bo$13bo12b3o 17bo3bo12bo3bo$bo26bobo7bo23bobobobo$bobo9bo15b2o7bobo5bobobo11b2o3b2o $b3o12b2o20b3o12b2o$3bo11bo2bo2b2o17bo11bo2bo2b2o$15bobo4bo2bo26bobo4b o2bo$16bo5bobobo26bo5bobobo$19b2obo2bo30b2obo2bo$19bo2bo33bo2bo$16bo4b o31bo4bo$16b5o32b5o2$18bo36bo$17bobo34bobo$18bo36bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ ZOOM 10 GPS 20 LOOP 66 PAUSE 2 T 42 PAUSE 2 T 65 PAUSE 2 WIDTH 800 HEIGHT 800 THUMBSIZE 2 ]]
View static image
Pattern type	Conduit
Conduit type	Elementary
Input	Herschel
Number of cells	94
Output orientation	Turned left, flipped
Output offset	(12, -16)
Step	65 ticks
Recovery time (ignoring FNG if any)	57 ticks
Minimum overclock period (ignoring FNG if any)	34 ticks
Spartan?	No
Discovered by	Unknown
Year of discovery	Unknown
Pattern files RLE lx65.rle

Lx65 is a periodic elementary Herschel conduit. After 65 ticks, it produces an inverted Herschel turned 90 degrees counterclockwise at (12, -16) relative to the input. A ghost Herschel marks the output location.

It relies on a sparker to provide a spark at generation 42. Caterer or jam, T-nosed p4, octagon II and T-nosed p6 work for periods of 3, 4, 5 and 6 respectively, as shown in the infobox. Its repeat time is 57, which can be reduced to 56 by replacing the welded 7×9 eater with a blocker.

A p6 variant that relies on the output's first natural glider to remove blocks was used by David Buckingham to build a p366 gun in 1994, and the p3 variant was later used in Dietrich Leithner's 1997 p57 Herschel loop.

Duplicating variant

There exist variants of Lx65 that duplicate the Herschel, with full technical name Lx65_R64. In the pattern below, the two ghost Herschels indicate the two output locations.

As a duplicator, both outputs need to be connected to either a dependent conduit or both outputs to an independent conduit as the two FNGs mutually annihilate.

x = 164, y = 28, rule = B3/S23 14b2o63b2o63b2o$15bo13b2o49bo64bo$15b3o11bobo48b3o62b3o$31bo2b2o$26bo 2bob2o2b2o$2o23bobobo5bobob2o24b2o63b2o$bo22b2o5b2o2bob2obo25bo23bo3b 2o35bo23b2o$bobo20b2o3b2o2bobo30bobo20bobobobo35bobo20bo2bo$2b2o19bo3b obob2o2bo31b2o20bobobo38b2o20bobobo$22bo2b2o2bobo3b2o51b2obob2o58b2obo bo$22bo4b3obo55bo3bo3bo59bobob2o$22bo8b2o54bo4bobobo53b2o2b2obo2bo$22b o4b3obo55bo3b2o3bo59bobobob2o$22bo2b2o2bobo3b2o50bo4bob2o57b2obob3o2bo $23bo3bobob2o2bo51bo3bo62bo2bo3b2o$2bo21b2o3b2o2bobo31bo20b2obob5o34bo 21bob5o$2bobo19b2o5b2o2bob2obo26bobo19bobo2bo2bo34bobo20bo4bo$2b3o20bo bobo5bobob2o26b3o19bo2bo39b3o21b4o$4bo21bo2bob2o2b2o32bo20b2o42bo23bo$ 31bo2b2o124bo$29bobo127b2o$29b2o4$14b3o62b3o62b3o$14bo64bo64bo$13b2o 63b2o63b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME BOOK HEIGHT 320 WIDTH 1100 ZOOM 6 GPS 10 AUTOSTART T 0 PAUSE 2 T 64 PAUSE 2 T 65 PAUSE 2 LOOP 66 ]]

P4, P5 and P6 Herschel duplicators based on Lx65. (click above to open LifeViewer)

Stable Spartan catalyst

On September 13, 2024, Mitchell Riley discovered a still life constellation that can act as a catalyst, replacing the periodic sparkers.

x = 28, y = 28, rule = B3/S23 14b2o$15bo$15b3o3$2o23bo$bo21b3o$bobo18bo$2b2o18b2o3$22bo$21bobo$20bo2bo2b2o$21b2o3b2o$2bo$2bobo$2b3o15b2o$4bo15b2o7$14b3o$14bo$13b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 THEME BOOK HEIGHT 560 WIDTH 560 ZOOM 14 GRID OFF GPS 10 AUTOSTART T 0 PAUSE 2 T 64 PAUSE 2 T 65 PAUSE 2 T 75 PAUSE 2 LOOP 76 ]]

Stable Lx65_R64. (click above to open LifeViewer)

It has repeat time 46 with FNGs suppressed, and 142 without.

External links

• Buckingham on B-heptominos in oscillators at Paul Callahan's Page of Conway's Life Miscellany
• Dieter Leithner's new p57 oscillator at Paul Callahan's Page of Conway's Life Miscellany