Difference between revisions of "Octagon 2"
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'''Octagon 2''' was the first known [[period#Oscillators|period]] [[:Category:Oscillators with period 5|5]] [[oscillator]], discovered in [[:Category:Patterns found in 1971|1971]] independently by [[:Category:Patterns found by Sol Goodman|Sol Goodman]] and [[:Category:Patterns found by Arthur Taber|Arthur Taber]]; the name is due to the latter. Its discovery was first reported in [[Lifeline Volume 1]]. | '''Octagon 2''' was the first known [[period#Oscillators|period]] [[:Category:Oscillators with period 5|5]] [[oscillator]], discovered in [[:Category:Patterns found in 1971|1971]] independently by [[:Category:Patterns found by Sol Goodman|Sol Goodman]] and [[:Category:Patterns found by Arthur Taber|Arthur Taber]]; the name is due to the latter. Its discovery was first reported in [[Lifeline Volume 1]]. | ||
In December 2014, forum user flipper77 discovered that four pre-traffic lights could hassle the octagon, turning it into a period 4 oscillator.<ref name="post15094 | In December 2014, forum user flipper77 discovered via a symmetric [[apgsearch]] soup that four pre-traffic lights could hassle the octagon, turning it into a period 4 oscillator.<ref name="post15094" /> | ||
==[[List of common oscillators|Commonness]]== | ==[[List of common oscillators|Commonness]]== | ||
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==References== | ==References== | ||
<references> | |||
<ref name="post15094">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Soup search results | |||
|p = 15094 | |||
|author = flipper77 | |||
|date = December 18, 2014 | |||
}}</ref> | |||
<references /> | <references /> | ||
Revision as of 00:46, 19 February 2019
| Octagon 2 | |||||||||
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| Pattern type | Oscillator | ||||||||
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| Number of cells | 16 | ||||||||
| Bounding box | 8 × 8 | ||||||||
| Frequency class | 29.3 | ||||||||
| Period | 5 | ||||||||
| Mod | 5 | ||||||||
| Heat | 16 | ||||||||
| Volatility | 0.80 | ||||||||
| Strict volatility | 0.80 | ||||||||
| Discovered by | Arthur Taber Sol Goodman | ||||||||
| Year of discovery | 1971 | ||||||||
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Octagon 2 was the first known period 5 oscillator, discovered in 1971 independently by Sol Goodman and Arthur Taber; the name is due to the latter. Its discovery was first reported in Lifeline Volume 1.
In December 2014, forum user flipper77 discovered via a symmetric apgsearch soup that four pre-traffic lights could hassle the octagon, turning it into a period 4 oscillator.[1]
Commonness
Octagon 2 is about the twenty-sixth most common naturally-occurring oscillator in Achim Flammenkamp's census, being about as common as unix.[2] On Catagolue, it is the most common period 5 oscillator, being more common than fumarole.[3]
See also
References
<references> [1]
- ↑ 1.0 1.1 flipper77 (December 18, 2014). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on October 27, 2018.
External links
- Octagon 2 at the Life Lexicon
- 16P5.1 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Patterns with Catagolue frequency class 29
- Natural periodic objects
- Oscillators with 16 cells
- Periodic objects with minimum population 16
- Patterns with 16 cells
- Patterns found by Arthur Taber
- Patterns found by Sol Goodman
- Patterns found in 1971
- Patterns that can be constructed with 6 gliders
- Oscillators
- Oscillators with period 5
- Oscillators with mod 5
- Oscillators with heat 16
- Oscillators with volatility 0.80
- Oscillators with strict volatility 0.80
- Patterns with complete square symmetry
- Sparkers
- Sparkers with period 5
- Weak sparkers