Difference between revisions of "Octagon 4"

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'''Octagon 4''' is a [[period#Oscillators|period]] [[:Category:Oscillators with period 4|4]] [[oscillator]], discovered in [[:Category:Patterns found in 1979|1979]] by [[:Category:Patterns found by Robert Wainwright|Robert Wainwright]]. It consists of a regular octagon with sides four cells long and of four [[block|blocks]]. In August [[:Category:patterns found in 2004|2004]] [[Jason Summers]] and [[Mark Niemiec]] found a [[:Category:patterns that can be constructed with 34 gliders|34]]-[[glider]] [[glider synthesis|synthesis]] of this oscillator.<ref>{{CiteSummersPattern|name=jslife}}</ref>
'''Octagon 4''' is a {{period|4}} [[oscillator]], discovered in January {{year|1979}} by [[Robert Wainwright]].<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> It consists of a regular octagon with sides four cells long and of four [[block]]s.


Without the blocks, the octagon will become 4 ponds.
In August {{year|2004}} [[Jason Summers]] and [[Mark Niemiec]] found a {{gliders|34}} [[synthesis]] of this oscillator,<ref>{{CiteSummersPattern|name=jslife}}</ref> which was improved to {{gliders|18|text=18 gliders}} by [[Jeremy Tan]] on May 17, {{year|2019}}.<ref name="post76303"/> A {{gliders|16}} synthesis was found on April 22, {{year|2023}}.<ref name="j4159809849" />
 
The oscillator first appeared [[semi-natural]]ly in October {{year|2014}} in a [[soup]] found by [[Matthias Merzenich]] using [[apgsearch]].<ref name="post13599" /> Almost exactly 3 in 100000 (within the margin of error) even-width eightfold (D8_4) symmetric soups will form an octagon 4 in the centre.
 
Without the blocks, the octagon will become 4 [[Pond|ponds]].


==See also==
==See also==
*[[Octagon 2]]
* [[Octagon 2]]
*[[List of common oscillators]]
* [[A for all]]
* [[List of common oscillators]]


==References==
==References==
<references/>
<references>
<ref name="j4159809849">{{CiteCatagolueJob|job=4159809849|date=April 22, 2023}}</ref>
<ref name="post13599">{{LinkForumThread
|format = ref
|title  = Re: Soup search results
|p      = 13599
|author = Matthias Merzenich
|date  = October 2, 2014
}}</ref>
<ref name="post76303">{{LinkForumThread
|format = ref
|title  = Re: Synthesising Oscillators
|p      = 76303
|author = Jeremy Tan
|date  = May 17, 2019
}}</ref>
</references>


==External links==
==External links==
{{LinkLexicon|lex_o.htm#octagoniv}}
* {{LinkLexicon|lex_o.htm#octagoniv}}
{{LinkPentadecathlonObject|40P4.19}}
* {{LinkPentadecathlonObject|40P4.19}}
{{LinkCatagolue|xp4_y1g8bb8gzcc0u1y21u0cczy0124kk421zy311}}
* {{LinkCatagolue|xp4_y1g8bb8gzcc0u1y21u0cczy0124kk421zy311}}


{{Symmetry|full}}
{{Symmetry|full}}
{{seminatural}}

Latest revision as of 06:19, 11 January 2024

Octagon 4
7b2o$7b2o2$6b4o$5bo4bo$4bo6bo$3bo8bo$2obo8bob2o$2obo8bob2o$3bo8bo$4bo 6bo$5bo4bo$6b4o2$7b2o$7b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 3 GPS 4 ZOOM 24 HEIGHT 500 WIDTH 600 ]]
View animated image
View static image
Pattern type Oscillator
Number of cells 40
Bounding box 16 × 16
Period 4
Mod 4
Heat 48
Volatility 0.83
Strict volatility 0.67
Discovered by Robert Wainwright
Year of discovery 1979

Octagon 4 is a period-4 oscillator, discovered in January 1979 by Robert Wainwright.[1] It consists of a regular octagon with sides four cells long and of four blocks.

In August 2004 Jason Summers and Mark Niemiec found a 34-glider synthesis of this oscillator,[2] which was improved to 18 gliders by Jeremy Tan on May 17, 2019.[3] A 16-glider synthesis was found on April 22, 2023.[4]

The oscillator first appeared semi-naturally in October 2014 in a soup found by Matthias Merzenich using apgsearch.[5] Almost exactly 3 in 100000 (within the margin of error) even-width eightfold (D8_4) symmetric soups will form an octagon 4 in the centre.

Without the blocks, the octagon will become 4 ponds.

See also

References

  1. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  2. ↑ Jason Summers' jslife pattern collection.
  3. ↑ Jeremy Tan (May 17, 2019). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  4. ↑ shinjuku (#4159809849) (April 22, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  5. ↑ Matthias Merzenich (October 2, 2014). Re: Soup search results (discussion thread) at the ConwayLife.com forums

External links

Retrieved from "https://conwaylife.com/w/index.php?title=Octagon_4&oldid=144330"