Quadpole
| Quadpole | |||||||||
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| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Family | Barberpole | ||||||||
| Number of cells | 10 | ||||||||
| Bounding box | 7 × 7 | ||||||||
| Frequency class | 21.8 | ||||||||
| Period | 2 | ||||||||
| Mod | 1 | ||||||||
| Heat | 8 | ||||||||
| Volatility | 0.57 | ||||||||
| Strict volatility | 0.57 | ||||||||
| Rotor type | Pole 4 | ||||||||
| Discovered by | MIT group | ||||||||
| Year of discovery | 1970 | ||||||||
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The quadpole is the barberpole of length 4. It is the seventh smallest of all oscillators, and the only non-pseudo oscillator with a minimum population of 10 cells.
Occurrence
- See also: List of common oscillators
The quadpole is the eighth most common oscillator in Achim Flammenkamp's census, being less common than the bipole but more common than the great on-off.[1] It is the eighth most common oscillator on Adam P. Goucher's Catagolue.
The most common way by far for a quadpole to form is from a century predecessor hitting a ship. This is the basis of a 3-glider component found by Heinrich Koenig no later than July 2010.[2]
| Quadpole forming when a century predecessor collides with a ship (click above to open LifeViewer) RLE: here Plaintext: here |
Other rules
Despite behaving the same in Life as they do in HighLife, they are only about 2% as common in HighLife because the ship is not stable, preventing the reaction above from occurring.
In Grounded Life, they are also less common as this reaction does not work, highlighting the fact that most quadpoles are formed by this reaction.
Glider synthesis
All strict still lifes with a population of 21 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 31 or fewer cells are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.
See also
References
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
- ↑ Heinrich Koenig (July 3, 2010). Re: Methuselah from Gliders (discussion thread) at the ConwayLife.com forums
External links
- Quadpole at the Life Lexicon
- Quadpole at Adam P. Goucher's Catagolue
- 10P2.1 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 21
- Natural periodic objects
- Oscillators with 10 cells
- Periodic objects with minimum population 10
- Patterns with 10 cells
- Patterns found by MIT group
- Patterns found in 1970
- Patterns that can be constructed with 5 gliders
- Oscillators
- Barberpole variants
- Oscillators with period 2
- Oscillators with mod 1
- Oscillators with heat 8
- Oscillators with volatility 0.57
- Oscillators with strict volatility 0.57
- Oscillators with rotor Pole 4
- Patterns with 180-degree rotation symmetry
- Flipping oscillators
- Extendable oscillators