Difference between revisions of "Beluchenko's p51"
Jump to navigation
Jump to search
(not in DRH collection) |
m (Synth ref) |
||
| Line 27: | Line 27: | ||
|viewerconfig = #C [[ LOOP 51 GPS 25 THUMBSIZE 2 ZOOM 10 HEIGHT 480 ]] | |viewerconfig = #C [[ LOOP 51 GPS 25 THUMBSIZE 2 ZOOM 10 HEIGHT 480 ]] | ||
}} | }} | ||
'''Beluchenko's p51''' (or '''112P51''') is a {{period|51}} [[oscillator]] that was discovered by [[Nicolay Beluchenko]] on February 17, {{year|2009}}.<ref name="jslife" /> It was the first non-trivial period 51 oscillator to be found, all previously known period 51 oscillators being made up of disjoint period {{period|3|brief}} and period {{period|17|brief}} oscillators. It can be extended diagonally by making copies of itself share two [[block]]s as shown below. | '''Beluchenko's p51''' (or '''112P51''') is a {{period|51}} [[oscillator]] that was discovered by [[Nicolay Beluchenko]] on February 17, {{year|2009}}.<ref name="jslife">{{CiteSummersPattern|name=jslife|accessdate=January 5, 2020}}</ref> It was the first non-trivial period 51 oscillator to be found, all previously known period 51 oscillators being made up of disjoint period {{period|3|brief}} and period {{period|17|brief}} oscillators. It can be extended diagonally by making copies of itself share two [[block]]s as shown below. | ||
A | A 76-glider [[synthesis]] of this oscillator was found by [[Jason Summers]] and [[Matthias Merzenich]] on April 20, {{year|2010}}.<ref name="post2195" /> This was improved to {{gliders|43|brief}} gliders by [[Chris Cain]] on January 5, {{year|2020}}.<ref name="post86974" /> | ||
Beluchenko's p51 first appeared on [[Catagolue]] in March {{year|2015}}.<ref name="post18307" /> | Beluchenko's p51 first appeared on [[Catagolue]] in March {{year|2015}}.<ref name="post18307" /> | ||
| Line 44: | Line 44: | ||
==References== | ==References== | ||
<references> | <references> | ||
<ref name="post2195">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Glider synthesis discussion | |||
|p = 2195 | |||
|author = Matthias Merzenich | |||
|date = April 20, 2010 | |||
}}</ref> | |||
<ref name="post86974">{{LinkForumThread | <ref name="post86974">{{LinkForumThread | ||
|format = ref | |format = ref | ||
Revision as of 12:24, 21 July 2020
| Beluchenko's p51 | |||||||||||
| View animated image | |||||||||||
| View static image | |||||||||||
| Pattern type | Oscillator | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 112 | ||||||||||
| Bounding box | 41 × 41 | ||||||||||
| Period | 51 | ||||||||||
| Mod | 51 | ||||||||||
| Heat | 154.0 | ||||||||||
| Volatility | 0.98 | ||||||||||
| Strict volatility | 0.98 | ||||||||||
| Discovered by | Nicolay Beluchenko | ||||||||||
| Year of discovery | 2009 | ||||||||||
| |||||||||||
| |||||||||||
| |||||||||||
| |||||||||||
Beluchenko's p51 (or 112P51) is a period-51 oscillator that was discovered by Nicolay Beluchenko on February 17, 2009.[1] It was the first non-trivial period 51 oscillator to be found, all previously known period 51 oscillators being made up of disjoint period 3 and period 17 oscillators. It can be extended diagonally by making copies of itself share two blocks as shown below.
A 76-glider synthesis of this oscillator was found by Jason Summers and Matthias Merzenich on April 20, 2010.[2] This was improved to 43 gliders by Chris Cain on January 5, 2020.[3]
Beluchenko's p51 first appeared on Catagolue in March 2015.[4]
Image gallery
Also see
References
- ↑ Jason Summers' jslife pattern collection. Retrieved on January 5, 2020.
- ↑ Matthias Merzenich (April 20, 2010). Re: Glider synthesis discussion (discussion thread) at the ConwayLife.com forums
- ↑ Chris Cain (January 5, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Richard Schank (March 27, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
External links
- Beluchenko's p51 at the Life Lexicon
- 112P51.1 at Heinrich Koenig's Game of Life Object Catalogs
- "New Oscillators" at Game of Life News
Categories:
- Patterns
- Oscillators with between 110 and 119 cells
- Periodic objects with minimum population between 110 and 119
- Patterns with between 110 and 119 cells
- Patterns found by Nicolay Beluchenko
- Patterns found in 2009
- Patterns that can be constructed with 43 gliders
- Oscillators
- Oscillators with period 51
- Oscillators with mod 51
- Oscillators with heat between 150 and 159
- Oscillators with volatility 0.98
- Oscillators with strict volatility 0.98
- Patterns with complete square symmetry
- Semi-natural periodic objects