Fx77

Fx77
x = 29, y = 23, rule = B3/S23 o$3o$3bo$2b2o11b2o11bo$15b2o9b3o$26bo$26bo4$bo$bobo$b3o$3bo6$16b2o$16b obo$18bo$18b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 360 ZOOM 12 X 0 Y 0 GPS 20 LOOP 78 PAUSE 2 T 77 PAUSE 2 THUMBSIZE 2 ]]
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Pattern type	Conduit
Conduit type	Elementary
Input	Herschel
Number of cells	30
Output orientation	Unturned, flipped
Output offset	(25, -8)
Step	77 ticks
Recovery time (ignoring FNG if any)	51 ticks
Minimum overclock period (ignoring FNG if any)	35 ticks
Spartan?	Yes
Dependent?	No
Discovered by	David Buckingham
Year of discovery	1996
Rules Outer-totalistic rules B3/S23 – B38/S238 Important rules Conway Life # of rules 22 = 4 Isotropic rules B3/S23 – B34ce6n8/S234c5e8
Pattern files Plaintext fx77.cells RLE fx77.rle

Fx77 is an elementary conduit, one of the original sixteen Herschel conduits, discovered by Dave Buckingham on August 3, 1996. After 77 ticks, it produces an inverted Herschel at (25, -8) relative to the input. Its recovery time is 51 ticks if the first natural glider is ignored; for periods lower than 69, the FNG must be eaten. It is one of the simplest known Spartan conduits, and one of the few elementary conduits in the original set of sixteen.

Non-Spartan versions of Fx77 were in common use for many years to allow circuitry to be packed more tightly together, and especially to reduce the bounding boxes of guns in the original Hersrch-assisted completion of the p14-p999 glider gun collection. The"Fx77S" and "Fx77SW" forms below were specifically included in Hersrch's database for use in searches for Herschel loop guns with minimal bounding boxes.

x = 29, y = 21, rule = B3/S23 o$3o$3bo$2b2o11b2o11bo$15b2o9b3o$26bo$26bo4$bo$bobo$b3o$3bo$21b2o$18b 2o2bo2b2o$18b2obo3bo$21bobobo$18b2obob2o$12b2o4bo2bo$12b2o6b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 HEIGHT 400 GPS 20 T 77 ]]

Fx77S

This variant allows connections to following conduits
with initial eater catalyst positioned as in Fx77

(click above to open LifeViewer)
RLE: here Plaintext: here

x = 29, y = 21, rule = B3/S23 o$3o$3bo$2b2o11b2o11bo$15b2o9b3o$26bo$26bo4$bo$bobo17b2ob2o$b3o18bobo$ 3bo18bobo$21b2obob2o$18b2o2bobobobo$18b2obo2bo2b2o$21bob2o$18b2obobo$ 12b2o4bo2bobo$12b2o6b2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 HEIGHT 400 GPS 20 T 77 ]]

Fx77SW

This variant allows connections to following conduits
with initial eater catalyst positioned as in F117

(click above to open LifeViewer)
RLE: here Plaintext: here

x = 48, y = 30, rule = B3/S23 37b2o$17bo20bo$17b3o18b3o$20bo$19b2o2$o$3o$3bo$2b2o11b2o11bo$15b2o9b3o $26bo$26bo4$bo44b2o$bobo42b2o$b3o36b2o$3bo36b2o3$42b2o$35b2o5b2o$35b2o 4$14b2o$14b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 HEIGHT 400 WIDTH 800 GPS 20 T 77 ]]

Spartan Fx77 followed by R64 This optimization is generally used only in glider- constructible circuitry, where recovery time is not an issue. It replaces two eater1s with a single block, but increases the repeat time to 211. (click above to open LifeViewer) RLE: here Plaintext: here

Another common variant is the Spartan combination of an Fx77 with a following R64 conduit, as shown above. Just below the safe repeat time, at 210-tick separation between gliders, an extra output glider is produced.

x = 29, y = 23, rule = B3/S23 o$3o$3bo$2b2o11b2o11bo$15b2o9b3o$26bo$26bo4$bo$bobo$b3o$3bo6$11b2o6b2o $10bo2bo5b2o$10bo2bo$11b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 HEIGHT 400 GPS 20 T 77 ]]

HFx77Hb

Tanner Jacobi's Spartan Fx77 variant,
producing an extra output glider often used in
glider synchronization circuitry

(click above to open LifeViewer)
RLE: here Plaintext: here

In January 2016, Tanner Jacobi discovered a Spartan method of extracting an additional glider using a transparent pond, shown at right. In all of the these variants, as in the infobox, a ghost Herschel marks the output location.

Alternatively, a pipsquirter or other sparker can replace the blinker-suppressing eater to produce an extra glider output in a different direction.

For period 3, a large p3 sparker can be used.

For period 4, the T-nosed p4.

For period 5, the middleweight volcano or P5 pipsquirter.

For period 6, the unix.

For period 7, the 38P7.2.

For period 8, the blocker.

For period 14, the 34P14 shuttle.

For period 15, the pentadecathlon.

x = 194, y = 87, rule = B3/S23 o54bo54bo54bo$3o52b3o52b3o52b3o$3bo54bo54bo54bo$2b2o11b2o11bo28b2o11b 2o11bo28b2o11b2o11bo28b2o11b2o11bo$15b2o9b3o41b2o9b3o41b2o9b3o41b2o9b 3o$26bo54bo54bo54bo$26bo54bo54bo54bo4$bo54bo54bo54bo$bobo52bobo52bobo 52bobo$b3o52b3o52b3o52b3o$3bo54bo54bo54bo6$3bo6bobo$3b3o7bo51b3o104b2o $6bob2obo3bo104b3o49b2o2b2o$5bo6b2obo48bo3bo50bobobo46b2obo2b2o$5b2o3b 3o4bo46bo3bo48b3o3b3o44b3o$5b2obo3b2obo2bo97bo4bo4bo$4b3obo2bo3bob2o 45bo3bo46bobo7bobo$10bo2bob2o46bob3obo44bo2bo7bo2bo42b2o$11b2obo3b3o 42bo5bo44b2o2b3ob3o2b2o42b2o$9bobo2bobobo2bo40b2obobob2o$9b2o2b2ob2o2b 2o39bo2b2ob2o2bo$61b2o7b2o46b2o3b2o$118b2o3b2o24$o54bo54bo54bo$3o52b3o 52b3o52b3o$3bo54bo54bo54bo$2b2o11b2o11bo28b2o11b2o11bo28b2o11b2o11bo 28b2o11b2o11bo$15b2o9b3o41b2o9b3o41b2o9b3o41b2o9b3o$26bo54bo54bo54bo$ 26bo54bo54bo54bo4$bo54bo54bo54bo$bobo52bobo52bobo52bobo$b3o52b3o52b3o 52b3o$3bo54bo54bo54bo6$7b2o$9bo5bo46b2o$8bo2b2o3bo41b2o2b2o2b2o49b2o$ 7bo3bo4bo41bobo2bo2b2o44b2o2b2obo5b2o$6bo2bo3bobo43b3o50b2o3bobo5b2o 48b3o$7b4o49b2o57bo55bobo$121bo53b3o$7b4o164b3o$6bo2bo3bobo105bo53b3o$ 7bo3bo4bo102bo55b3o$8bo2b2o3bo95b2o3bobo5b2o48bobo$9bo5bo96b2o2b2obo5b 2o48b3o$7b2o108b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 ZOOM 4 WIDTH 1000 HEIGHT 540 POPUPWIDTH 1000 POPUPHEIGHT 540 Y -10 GPS 20 PAUSE 2 T 53 PAUSE 2 T 77 PAUSE 2 LOOP 78 ]] #C [[ COLOR LABEL RED LABELSIZE 16 ]] #C [[ LABEL 13 -6 1.5 "p3" LABEL 68 -6 1.5 "p4" LABEL 123 -6 1.5 "p5" LABEL 178 -6 1.5 "p6" ]] #C [[ LABEL 13 49 1.5 "p7" LABEL 68 49 1.5 "p8" LABEL 123 49 1.5 "p14" LABEL 178 49 1.5 "p15" ]]

(click above to open LifeViewer) RLE: here Plaintext: here

External links

• Fx77 at the Life Lexicon