Difference between revisions of "Elkies' p5"
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'''Elkies' p5''' is a {{period|5}} [[oscillator]] that was found by [[Noam Elkies]] on June 16, {{year|1997}}.<ref>{{CiteSummersPattern|name=jslife|accessdate=October 28, 2020}}</ref> | '''Elkies' p5''' is a {{period|5}} [[oscillator]] that was found by [[Noam Elkies]] on June 16, {{year|1997}}.<ref>{{CiteSummersPattern|name=jslife|accessdate=October 28, 2020}}</ref> | ||
Elkies' p5 first occurred naturally in a soup found by [[Dave Greene]] using [[Adam P. Goucher]]'s [[apgsearch]] program in April 2015.<ref name=" | Elkies' p5 first occurred naturally in a soup found by [[Dave Greene]] using [[Adam P. Goucher]]'s [[apgsearch]] program in April 2015.<ref name="post18583" /> Other efforts from apgsearch allowed a 15-glider synthesis of an 18-cell still life which can be converted to Elkies' p5. This 20-glider synthesis was completed by [[Brett Berger]] and [[Martin Grant]].<ref name="post19046" /> This was further improved to 8 gliders by Brett Berger and Martin Grant<ref name="post26474" /> following a second natural occurrence in January 2016.<ref name="post26470" /> | ||
On [[Catagolue]], it is the third [[List of common oscillators|most common]] period 5 oscillator if stator variants are excluded, after [[octagon II]] and [[fumarole]].<ref>{{citeCatagolueStats|October 27, 2018}}</ref> | On [[Catagolue]], it is the third [[List of common oscillators|most common]] period 5 oscillator if stator variants are excluded, after [[octagon II]] and [[fumarole]].<ref>{{citeCatagolueStats|October 27, 2018}}</ref> | ||
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== References == | == References == | ||
<references> | <references> | ||
<ref name=" | <ref name="post18583">{{LinkForumThread | ||
|format = ref | |format = ref | ||
|title = Re: Soup search results | |title = Re: Soup search results | ||
|p = | |p = 18583 | ||
|author = Adam P. Goucher | |author = Adam P. Goucher | ||
|date = April 9, 2015 | |date = April 9, 2015 | ||
Latest revision as of 21:17, 11 January 2026
| Elkies' p5 | |||||||||
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| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 20 | ||||||||
| Bounding box | 9 × 8 | ||||||||
| Frequency class | 44.7 | ||||||||
| Period | 5 (mod: 5) | ||||||||
| Heat | 6.8 | ||||||||
| Volatility | 0.55 | 0.55 | ||||||||
| Kinetic symmetry | n | ||||||||
| Discovered by | Noam Elkies | ||||||||
| Year of discovery | 1997 | ||||||||
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Elkies' p5 is a period-5 oscillator that was found by Noam Elkies on June 16, 1997.[1]
Elkies' p5 first occurred naturally in a soup found by Dave Greene using Adam P. Goucher's apgsearch program in April 2015.[2] Other efforts from apgsearch allowed a 15-glider synthesis of an 18-cell still life which can be converted to Elkies' p5. This 20-glider synthesis was completed by Brett Berger and Martin Grant.[3] This was further improved to 8 gliders by Brett Berger and Martin Grant[4] following a second natural occurrence in January 2016.[5]
On Catagolue, it is the third most common period 5 oscillator if stator variants are excluded, after octagon II and fumarole.[6]
Use as a sparker
Elkies' p5 usually gets destroyed when trying to use it as a sparker, but it works in a few situations. One high-period example is this period-100 wing hassler.[7] Note that two generations after being sparked, there is a two-cell leading edge in the sparker that matches the two cells in the active region.
| p100 wing hassler described above (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
See also
References
- ↑ Jason Summers' jslife pattern collection. Retrieved on October 28, 2020.
- ↑ Adam P. Goucher (April 9, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ Martin Grant (April 25, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ Brett Berger (January 5, 2016). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ gameoflifeboy (January 5, 2016). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on October 27, 2018.
- ↑ Extrementhusiast (November 10, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
External links
- Elkies' p5 at the Life Lexicon
- Elkies' p5 at Adam P. Goucher's Catagolue
- 20P5.11 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Patterns with Catagolue frequency class 44
- Natural periodic objects
- Oscillators with 20 cells
- Periodic objects with minimum population 20
- Patterns with 20 cells
- Patterns found by Noam Elkies
- Patterns found in 1997
- Patterns that can be constructed with 8 gliders
- Oscillators
- Oscillators with period 5
- Oscillators with mod 5
- Oscillators with heat 6
- Oscillators with volatility 0.55
- Oscillators with strict volatility 0.55
- Oscillators with n symmetry
- Sparkers
- Sparkers with period 5
- Non-reflecting duoplet sparkers
- Moderate sparkers