Fx77: Difference between revisions
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== Variants == | == 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 | 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. | ||
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== Periodic glider extraction == | == 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]]. | 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]]. | ||
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== External links == | == External links == | ||
{{LinkLexicon|lex_f.htm#fx77}} | *{{LinkLexicon|lex_f.htm#fx77}} | ||
{{LinkCallahan|patterns/bhept/bhept.html|patternname=Buckingham on B-heptominos in oscillators}} | *{{LinkCallahan|patterns/bhept/bhept.html|patternname=Buckingham on B-heptominos in oscillators}} | ||
__NOTOC__ | __NOTOC__ | ||
Revision as of 14:38, 2 June 2022
| Fx77 | |||||||||
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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 | ||||||||
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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.
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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.[1] In all of the these variants, as in the infobox, a ghost Herschel marks the output location.
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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.
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References
- ↑ Tanner Jacobi (January 17, 2016). Re: H-to-G and H-to-2G converter collection (discussion thread) at the ConwayLife.com forums
External links
- Fx77 at the Life Lexicon
- Buckingham on B-heptominos in oscillators at Paul Callahan's Page of Conway's Life Miscellany
- Patterns
- Patterns with 30 cells
- Patterns found by David Buckingham
- Patterns found in 1996
- Conduits
- Elementary conduits
- Herschel conduits
- Conduits with output orientation Fx
- Conduits with output offset (25, -8)
- Conduits with recovery time 51
- Conduits with minimum overclock time 35
- Spartan conduits
- Independent conduits