Difference between revisions of "Achim's p4"
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{{Oscillator | |||
'''Achim's p4''' (or '''cloverleaf''') is a [[period]] [[:Category:Oscillators with period 4|4]] [[oscillator]] that was found in a less compact form (using two [[sombreros]]) by [[:Category:Patterns found by David Buckingham|David Buckingham]] in [[:Category:Patterns found in 1976|1976]]. The form shown here was found by [[:Category:Patterns found by Achim Flammenkamp|Achim Flammenkamp]] in [[:Category:Patterns found in 1988|1988]]. The [[rotor]] is two copies of the rotor of [[1-2-3-4]], so the [[oscillator]] is sometimes called the '''dual 1-2-3-4'''. | |name = Achim's p4 | ||
|pname = achimsp4 | |||
|c = 40 | |||
|bx = 11 | |||
|by = 9 | |||
|fc = 29.0 | |||
|p = 4 | |||
|m = 4 | |||
|h = 4 | |||
|v = 0.17 | |||
|sv = 0.17 | |||
|discoverer = Achim Flammenkamp | |||
|discoveryear = 1994 | |||
|rulemin = B3/S23 | |||
|rulemax = B378/S1235678 | |||
|rulespecial = [[Conway's Game of Life|Conway Life]] | |||
|isorulemin = B3ery/S2-in3-acjq | |||
|isorulemax = B2kn34ejnrwz5-kqy6-ai78/S1234-it5678 | |||
|synthesis = 6 | |||
|synthesisRLE = true | |||
|plaintext = true | |||
|rle = true | |||
|apgcode = xp4_8eh5e0e5he8z178a707a871 | |||
|pentadecathlonid = 40P4.9 | |||
|animated = yes | |||
|viewerconfig = #C [[ LOOP 4 GPS 2 THUMBSIZE 2 ]] | |||
}} | |||
:''For other uses of "cloverleaf", see [[Cloverleaf (disambiguation)]].'' | |||
'''Achim's p4''' (or '''cloverleaf''') is a [[period]] [[:Category:Oscillators with period 4|4]] [[oscillator]] that was found in a less compact form (using two [[sombreros]]) by [[:Category:Patterns found by David Buckingham|David Buckingham]] in [[:Category:Patterns found in 1976|1976]]. The form shown here was found by [[:Category:Patterns found by Achim Flammenkamp|Achim Flammenkamp]] in [[:Category:Patterns found in 1988|1988]]. The [[rotor]] is two copies of the rotor of [[1-2-3-4]], so the [[oscillator]] is sometimes called the '''dual 1-2-3-4'''. | |||
==[[List of common oscillators|Commonness]]== | |||
Achim's p4 is about the twenty-third most [[common]] naturally-occurring oscillator in [[Achim Flammenkamp's census]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> On [[Catagolue]], it is the third most common period 4 oscillator, being less common than [[mazing]].<ref>{{citeCatagolue|page=census/b3s23/C1|title=Census|accessdate=October 27, 2018}}</ref> | |||
==Synthesis== | |||
In October, [[:Category:patterns found in 2010|2010]] Lewis Patterson found a [[predecessor]] of this oscillator that allows a [[:Category:patterns that can be constructed with 7 gliders|7]]-[[glider]] [[glider synthesis|synthesis]]. | |||
==Image gallery== | ==Image gallery== | ||
| Line 14: | Line 49: | ||
*[[Achim's other p16]] | *[[Achim's other p16]] | ||
*[[Achim's p144]] | *[[Achim's p144]] | ||
==References== | ==References== | ||
| Line 22: | Line 56: | ||
{{LinkWeisstein|filename=Achimsp4.html}} | {{LinkWeisstein|filename=Achimsp4.html}} | ||
{{LinkLexicon|filename=lex_a.htm#achimsp4}} | {{LinkLexicon|filename=lex_a.htm#achimsp4}} | ||
{{LinkCatagolue|xp4_8eh5e0e5he8z178a707a871}} | |||
{{LinkPentadecathlonObject|40P4.9}} | |||
{{Symmetry|orthogonal4}} | {{Symmetry|orthogonal4}} | ||
__NOTOC__ | |||
Revision as of 14:14, 15 May 2019
| Achim's p4 | |||||||||
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| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 40 | ||||||||
| Bounding box | 11 × 9 | ||||||||
| Frequency class | 29.0 | ||||||||
| Period | 4 | ||||||||
| Mod | 4 | ||||||||
| Heat | 4 | ||||||||
| Volatility | 0.17 | ||||||||
| Strict volatility | 0.17 | ||||||||
| Discovered by | Achim Flammenkamp | ||||||||
| Year of discovery | 1994 | ||||||||
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- For other uses of "cloverleaf", see Cloverleaf (disambiguation).
Achim's p4 (or cloverleaf) is a period 4 oscillator that was found in a less compact form (using two sombreros) by David Buckingham in 1976. The form shown here was found by Achim Flammenkamp in 1988. The rotor is two copies of the rotor of 1-2-3-4, so the oscillator is sometimes called the dual 1-2-3-4.
Commonness
Achim's p4 is about the twenty-third most common naturally-occurring oscillator in Achim Flammenkamp's census.[1] On Catagolue, it is the third most common period 4 oscillator, being less common than mazing.[2]
Synthesis
In October, 2010 Lewis Patterson found a predecessor of this oscillator that allows a 7-glider synthesis.
Image gallery
 The original, less compact form of Achim's p4 |
See also
References
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
- ↑ Adam P. Goucher. "Census". Catagolue. Retrieved on October 27, 2018.
External links
- Achim's p4 at the Life Lexicon
- 40P4.9 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Patterns with Catagolue frequency class 29
- Natural periodic objects
- Oscillators with 40 cells
- Periodic objects with minimum population 40
- Patterns with 40 cells
- Patterns found by Achim Flammenkamp
- Patterns found in 1994
- Patterns that can be constructed with 6 gliders
- Oscillators
- Oscillators with period 4
- Oscillators with mod 4
- Oscillators with heat 4
- Oscillators with volatility 0.17
- Oscillators with strict volatility 0.17
- Patterns with rectangular orthogonal symmetry