Fx77
Fx77 is an elementary conduit, one of the original sixteen Herschel conduits, discovered by Dave Buckingham in August 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.
| Fx77 | |||||||
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| View static image | |||||||
| 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 | ||||||
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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.
This variant allows connections to following conduits
with initial eater catalyst positioned as in Fx77
RLE: here Plaintext: here
This variant allows connections to following conduits
with initial eater catalyst positioned as in F117
RLE: here Plaintext: here
| <html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>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 ]]<html></code></div></div><canvas width="200" height="300" style="margin-left:1px;"><noscript></html> Please enable Javascript to view this LifeViewer. <html></noscript></canvas></div></html> |
Spartan Fx77 followed by R64 (click above to open LifeViewer)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. 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.
Tanner Jacobi's Spartan Fx77 variant,
producing an extra output glider often used in
glider synchronization circuitry
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.[1] 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.
| <html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>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" ]]<html></code></div></div><canvas width="200" height="300" style="margin-left:1px;"><noscript></html> Please enable Javascript to view this LifeViewer. <html></noscript></canvas></div></html> |
| (click above to open LifeViewer) RLE: here Plaintext: here |
References
- Tanner Jacobi (January 17, 2016). Re: H-to-G and H-to-2G converter collection (discussion thread) at the ConwayLife.com forums