Pulsar: Difference between revisions
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The [[rotor]] of a pulsar consists of four mutually stabilizing quadrants; alternate arrangements exist for any odd multiple of 4 (for the version with 12 copies, see [[quasar]]). A closely related oscillator — the [[pulsar quadrant]] — includes just the external "horns" of the rotor and can be stabilized on its own. | The [[rotor]] of a pulsar consists of four mutually stabilizing quadrants; alternate arrangements exist for any odd multiple of 4 (for the version with 12 copies, see [[quasar]]). A closely related oscillator — the [[pulsar quadrant]] — includes just the external "horns" of the rotor and can be stabilized on its own. | ||
==[[List of common oscillators|Commonness]]== | == [[List of common oscillators|Commonness]] == | ||
Despite its size, pulsar is the fourth most [[common]] [[oscillator]] (and the most common of [[period]] greater than 2) in [[Achim Flammenkamp's census]]; the only oscillators more common are [[blinker]], [[toad]], and [[beacon]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> It is by far the most common period 3 oscillator, being about 45,000 times more common than [[jam]].<ref>{{citeCatagolue|page=census/b3s23/C1|title=Census|accessdate=October 27, 2018}}</ref> Overall, the pulsar is the twenty-first most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref name="statistics">{{citeCatagolueStats|September 22, 2010}}</ref> | Despite its size, pulsar is the fourth most [[common]] [[oscillator]] (and the most common of [[period]] greater than 2) in [[Achim Flammenkamp's census]]; the only oscillators more common are [[blinker]], [[toad]], and [[beacon]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> It is by far the most common period 3 oscillator, being about 45,000 times more common than [[jam]].<ref>{{citeCatagolue|page=census/b3s23/C1|title=Census|accessdate=October 27, 2018}}</ref> Overall, the pulsar is the twenty-first most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref name="statistics">{{citeCatagolueStats|September 22, 2010}}</ref> | ||
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The smallest pattern by population that evolves into a pulsar has seven cells; there are several of these. | The smallest pattern by population that evolves into a pulsar has seven cells; there are several of these. | ||
== | == [[Glider synthesis]] == | ||
{{Small constructible periodic object}} | |||
==Notes== | == See also == | ||
* [[Pre-pulsar]] | |||
* [[Quasar]] | |||
== Notes == | |||
<references group="note" /> | <references group="note" /> | ||
==References== | == References == | ||
<references> | <references> | ||
<ref name="post18884">{{LinkForumThread | <ref name="post18884">{{LinkForumThread | ||
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</references> | </references> | ||
==External links== | == External links == | ||
{{LinkLexicon|lex_p.htm#pulsar}} | {{LinkLexicon|lex_p.htm#pulsar}} | ||
{{LinkCatagolue|xp3_co9nas0san9oczgoldlo0oldlogz1047210127401}} | {{LinkCatagolue|xp3_co9nas0san9oczgoldlo0oldlogz1047210127401}} | ||
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{{Symmetry|full}} | {{Symmetry|full}} | ||
{{Sparker|p=3|strength=weak}} | {{Sparker|p=3|strength=weak}} | ||
Revision as of 04:20, 24 December 2021
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| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 48 | ||||||||
| Bounding box | 15 × 15 | ||||||||
| Frequency class | 12.1 | ||||||||
| Period | 3 (mod: 3) | ||||||||
| Heat | 42.7 | ||||||||
| Volatility | 0.73 | 0.73 | ||||||||
| Kinetic symmetry | Unspecified | ||||||||
| Rotor type | Pulsar | ||||||||
| Discovered by | John Conway | ||||||||
| Year of discovery | 1970 | ||||||||
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Pulsar (rarely referred to as Cambridge pulsar CP 48-56-72[note 1]) is a large but surprisingly common period-3 oscillator. It was found by John Conway in March 1970.[1]
The rotor of a pulsar consists of four mutually stabilizing quadrants; alternate arrangements exist for any odd multiple of 4 (for the version with 12 copies, see quasar). A closely related oscillator — the pulsar quadrant — includes just the external "horns" of the rotor and can be stabilized on its own.
Despite its size, pulsar is the fourth most common oscillator (and the most common of period greater than 2) in Achim Flammenkamp's census; the only oscillators more common are blinker, toad, and beacon.[2] It is by far the most common period 3 oscillator, being about 45,000 times more common than jam.[3] Overall, the pulsar is the twenty-first most common object on Adam P. Goucher's Catagolue.[4]
A pulsar-on-pentadecathlon is the largest object to have occurred in the B3/S23/C1 census as of September 2020, with 100 cells in its maximum phase.[5][4]
The smallest pattern by population that evolves into a pulsar has seven cells; there are several of these.
All strict still lifes with a population of 23 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 35 or fewer cells are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.
See also
Notes
- ↑ The numbers refer to the populations of the three phases. The Life pulsar was indeed discovered at Cambridge, like the first real pulsar a few years earlier.
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
- ↑ Adam P. Goucher. "Census". Catagolue. Retrieved on October 27, 2018.
- ↑ 4.0 4.1 Adam P. Goucher. "Statistics". Catagolue. Retrieved on September 22, 2010.
- ↑ gameoflifeboy (April 20, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
External links
- Pulsar at the Life Lexicon
- 48P3.6 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 12
- Natural periodic objects
- Oscillators with 48 cells
- Periodic objects with minimum population 48
- Patterns with 48 cells
- Patterns found by John Conway
- Patterns found in 1970
- Patterns that can be constructed with 3 gliders
- Oscillators
- Oscillators with period 3
- Oscillators with mod 3
- Oscillators with heat 42
- Oscillators with volatility 0.73
- Oscillators with strict volatility 0.73
- Oscillators with rotor Pulsar
- Patterns with complete square symmetry
- Sparkers
- Sparkers with period 3
- Weak sparkers