Fx77: Difference between revisions

From LifeWiki
Jump to navigation Jump to search
← Older edit
Confocal (talk | contribs)
9,118 edits
remove bounding box
Confocal (talk | contribs)
9,118 edits
No edit summary
 
(34 intermediate revisions by 11 users not shown)
Line 4: Line 4:
|type        = elementary
|type        = elementary
|conduitfor  = Herschel
|conduitfor  = Herschel
|bx          = 20
|by          = 23
|c            = 30
|c            = 30
|m            = Ff
|m            = Fx
|dx          = 25
|dx          = 25
|dy          = -8
|dy          = -8
|step        = 77
|step        = 77
|recovery    = 61
|recovery    = 51
|overclock    = 35
|spartan      = yes
|spartan      = yes
|discoverer  = Dave Buckingham
|dependent    = no
|discoverer  = David Buckingham
|discoveryear = 1996
|discoveryear = 1996
|nofile      = true
|rulemin      = B3/S23
|rulemax      = B38/S238
|isorulemin  = B3/S23
|isorulemax  = B34ce6n8/S234c5e8
|plaintext    = true
|rle          = true
|viewerconfig = #C [[ HEIGHT 360 ZOOM 12 GPS 20 LOOP 78 PAUSE 2 T 77 PAUSE 2 THUMBSIZE 2 ]]
}}
}}
'''Fx77''' is an [[elementary conduit]], one of the original sixteen [[Herschel conduit]]s, discovered by [[Dave Buckingham]] in August [[:Category:Patterns found in 1996|1996]]. After 77 ticks, it produces an inverted [[Herschel]] at (25, -8) relative to the input. Its [[recovery time]] is 61 ticks; this can be reduced slightly by suppressing the output Herschel's [[glider]], as in the [[L112]] case. A [[pipsquirter]] can replace the [[blinker]]-suppressing [[eater]] to produce an extra glider output. It is one of the simplest known [[Spartan conduit]]s, and one of the few elementary conduits in the original set of sixteen.
'''Fx77''' is an [[elementary conduit]], one of the few elementary conduits in the original set of sixteen [[Herschel conduit]]s, discovered by [[Dave Buckingham]] on August 3, {{year|1996}}. After 77 ticks, it produces an inverted [[Herschel]] at {{nowrap|(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 conduit]]s.


In January [[:Category:Patterns found in 2016|2016]], [[Tanner Jacobi]] discovered a Spartan method of extracting an extra glider output.
== Variants ==


==External links==
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 box]]es of [[gun]]s in the original [[Hersrch]]-assisted completion of [[Dieter and Peter's glider gun collection|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.
{{LinkLexicon|lex_f.htm#fx77}}
 
{|style="margin:auto;width:300px;"
|{{EmbedViewer
|pname        = fx77s
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 12 HEIGHT 400 GPS 20 T 77 ]]
|position    = center
|caption      = This variant with an unnamed 23-cell still life<ref>{{LinkCatagolue|xs23_c9b8bjozw354c|style=nobullet}}</ref> allows connections to following conduits with initial eater catalyst positioned as in Fx77
}}
|-
|{{EmbedViewer
|pname        = fx77sw
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 12 HEIGHT 400 GPS 20 T 77 ]]
|position    = center
|caption      = This variant with an unnamed 39-cell still life<ref>{{LinkCatagolue|xs39_g8o1v0v90ggz11wju0vg5d|style=nobullet}}</ref> allows connections to following conduits with initial eater catalyst positioned as in [[F117]]
}}
|}
 
Another common variant is the Spartan combination of an Fx77 with a following [[R64]] conduit, as shown below. Just below the safe [[repeat time]], at 210-tick separation between gliders, an extra output glider is produced.
 
In January {{year|2016}}, [[Tanner Jacobi]] discovered a Spartan method of extracting an additional glider using a [[Transparent object|transparent]] [[pond]].<ref name="post26748" /> In all of the these variants, as in the infobox, a [[ghost Herschel]] marks the output location.
 
{|style="margin:auto;width:300px;"
|{{EmbedViewer
|pname        = fx77plusr64
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 12 HEIGHT 400 WIDTH 800 GPS 20 T 77 ]]
|position    = center
|caption      = This optimization is generally used only in glider-constructible circuitry, where recovery time is not an issue. It replaces two [[eater1]]s with a single block but increases the repeat time to 211
}}
|-
|{{EmbedViewer
|pname        = fx77parallelglider
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 12 HEIGHT 400 GPS 20 T 77 ]]
|position    = center
|caption      = Tanner Jacobi's Spartan Fx77 variant, producing an extra output glider often used in glider synchronization circuitry
}}
|}
 
== Periodic glider extraction ==
On August 3, 1996, Buckingham noticed that a [[sparker]] can replace the [[blinker]]-suppressing eater, so as to produce an extra glider output in a different direction from FNG. This can be used to create [[glider gun]]s from [[Herschel loop]]s with period being a [[composite number]]; an example can be found in [[p57 Herschel loop 1]].
 
{{EmbedViewer
|pname        = fx77extraglider
|viewerconfig = #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" ]]
|position    = center
|style        = width:300px;
}}
 
* 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]]
 
== References ==
<references>
<ref name="post26748">{{LinkForumThread
|format = ref
|p      = 26748
|title  = Re: H-to-G and H-to-2G converter collection
|author = Tanner Jacobi
|date  = January 17, 2016
}}</ref>
</references>
 
== External links ==
* {{LinkLexicon|lex_f.htm#fx77}}
* {{LinkCallahan|patterns/bhept/bhept.html|patternname=Buckingham on B-heptominos in oscillators}}
__NOTOC__

Latest revision as of 15:18, 13 October 2023

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 GPS 20 LOOP 78 PAUSE 2 T 77 PAUSE 2 THUMBSIZE 2 ]]
View static image
Pattern type Conduit
Conduit type Elementary
Input Herschel
Number of cells 30
Bounding box 20 × 23
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

Fx77 is an elementary conduit, one of the few elementary conduits in the original set of 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.

Variants

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 ]]
This variant with an unnamed 23-cell still life[1] 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 ]]
This variant with an unnamed 39-cell still life[2] allows connections to following conduits with initial eater catalyst positioned as in F117
(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 below. Just below the safe repeat time, at 210-tick separation between gliders, an extra output glider is produced.

In January 2016, Tanner Jacobi discovered a Spartan method of extracting an additional glider using a transparent pond.[3] In all of the these variants, as in the infobox, a ghost Herschel marks the output location.

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 ]]
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
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 ]]
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

Periodic glider extraction

On August 3, 1996, Buckingham noticed that a sparker can replace the blinker-suppressing eater, so as to produce an extra glider output in a different direction from FNG. This can be used to create glider guns from Herschel loops with period being a composite number; an example can be found in p57 Herschel loop 1.

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

References

  1. ↑ xs23_c9b8bjozw354c at Adam P. Goucher's Catagolue
  2. ↑ xs39_g8o1v0v90ggz11wju0vg5d at Adam P. Goucher's Catagolue
  3. ↑ Tanner Jacobi (January 17, 2016). Re: H-to-G and H-to-2G converter collection (discussion thread) at the ConwayLife.com forums
Retrieved from "https://conwaylife.com/w/index.php?title=Fx77&oldid=138602"