Difference between revisions of "OCA:Pedestrian Life"
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==Universality== | ==Universality== | ||
Its Turing-completeness was mentioned in a poor quality article<ref>http://repositorio.uam.es/bitstream/handle/10486/664759/fine_soler_JGPS_2013_ampl.pdf?sequence=2</ref> | Its Turing-completeness was mentioned in a poor quality article,<ref>{{cite web|url=http://repositorio.uam.es/bitstream/handle/10486/664759/fine_soler_JGPS_2013_ampl.pdf?sequence=2|title=Fine tuning explained? Multiverses and cellular automata|work=Journal for General Philosophy of Science|author=Francisco José Soler Gil, Manuel Alfonesca|date=July 2013|accessdate=January 21, 2017}}</ref> but it is baloney in this aspect, because didn't list the necessary patterns and reactions inherited from [[Conway's Game of Life]] for creating any kind of patterns that proves universality, just mentioning their existence. The same applies to [[HoneyLife]] and [[EightLife]]; the latter rule has a constructive proof for its Turing-completeness. | ||
There is a proof sketch of Pedestrian Life's universality. It is on conwaylife forums<ref | There is a proof sketch of Pedestrian Life's universality. It is on conwaylife forums,<ref name="post38167" /> which contains a proof-scheme covering all rules that support [[glider]] and their [[rulestring]] matches B3[678]*/S23[678]*. | ||
==References== | ==References== | ||
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|accessdate = November 19, 2016 | |accessdate = November 19, 2016 | ||
|work = ConwayLife.com forums | |work = ConwayLife.com forums | ||
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|title = Re: List of the Turing-complete totalistic life-like CA | |||
|p = 38167 | |||
|author = Peter Naszvadi | |||
|date = December 12, 2016 | |||
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Revision as of 02:09, 16 February 2019
| Pedestrian Life | |
| View static image | |
| View animated image | |
| Rulestring | 23/38 B38/S23 |
|---|---|
| Rule integer | 6408 |
| Character | Chaotic |
| Black/white reversal | B0123478/S1234678 |
Pedestrian Life is a Life-like cellular automaton in which cells survive from one generation to the next if they have 2 or 3 neighbours, and are born if they have 3 or 8 neighbours.
Patterns
Many patterns from regular Life are compatible with this rule. However, traffic lights are much less common, as most predecessors tend to die, giving the rule its name.[1]
There are several natural patterns of interest. One is a statorless, rotating period-106 glider gun:
The second is a family of naturally occurring (5,2)c/190 oblique spaceships, using mechanisms meshed together similarly to switch engines:
There are at least 692 variants of these in the simplest form of two engines,[2] and many more such as one which deletes and recreates a blinker, resulting in a period of 380.[3] Many similar technologies result in puffers, rakes and the like.
A third is a (101,3)c/1884 puffer.[4] Due to its massive ash trails no spaceships have been derived from it.
Universality
Its Turing-completeness was mentioned in a poor quality article,[5] but it is baloney in this aspect, because didn't list the necessary patterns and reactions inherited from Conway's Game of Life for creating any kind of patterns that proves universality, just mentioning their existence. The same applies to HoneyLife and EightLife; the latter rule has a constructive proof for its Turing-completeness.
There is a proof sketch of Pedestrian Life's universality. It is on conwaylife forums,[6] which contains a proof-scheme covering all rules that support glider and their rulestring matches B3[678]*/S23[678]*.
References
- ↑ Tropylium (April 9, 2013). "Re: What do you want out of (conway's) life this year?". ConwayLife.com forums. Retrieved on June 24, 2016.
- ↑ David S. Miller (June 24, 2016). "Re: B38/S23". ConwayLife.com forums. Retrieved on October 31, 2016.
- ↑ Apple Bottom (October 27, 2016). "Re: Soup search results in rules other than Conway's Life". ConwayLife.com forums. Retrieved on October 31, 2016.
- ↑ Adam P. Goucher (November 9, 2016). "Re: Soup search results in rules other than Conway's Life". ConwayLife.com forums. Retrieved on November 19, 2016.
- ↑ Francisco José Soler Gil, Manuel Alfonesca (July 2013). "Fine tuning explained? Multiverses and cellular automata". Journal for General Philosophy of Science. Retrieved on January 21, 2017.
- ↑ Peter Naszvadi (December 12, 2016). Re: List of the Turing-complete totalistic life-like CA (discussion thread) at the ConwayLife.com forums
External links
Pedestrian Life at Adam P. Goucher's Catagolue Pedestrian Life at David Eppstein's Glider Database
- Richard Holmes (2016-07-09). "Big and natural and (5,2)c/190".