Pentapole
| Pentapole | |||||||||
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| Pattern type | Oscillator | ||||||||
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| Family | Barberpole | ||||||||
| Number of cells | 11 | ||||||||
| Bounding box | 8 × 8 | ||||||||
| Frequency class | 38.3 | ||||||||
| Period | 2 | ||||||||
| Mod | 1 | ||||||||
| Heat | 10 | ||||||||
| Volatility | 0.63 | ||||||||
| Strict volatility | 0.63 | ||||||||
| Discovered by | MIT group | ||||||||
| Year of discovery | 1970 | ||||||||
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The pentapole is the barberpole of length 5. It is the eighth smallest of all oscillators, and the only non-pseudo oscillator with a minimum population of 11 cells.
Commonness
The pentapole appears nowhere near as frequently as the bipole, tripole or quadpole, and is nowhere to be seen among the 88 most common oscillators in Catagolue as of February 2022. As of 13 March 2024, it is the 112th most common period-2 oscillator in Catagolue.
Much like with the tripole and other barberpoles with diagonal line symmetry, it is much more common in censuses with said symmetries; as of 13 March 2024, it is the 22nd most common period-2 oscillator in D2_x, 24th in D4_x1, 27th in D4_x4, 31st in D8_1 and 42nd in D8_4.
It first appeared naturally on March 31, 2015, in a soup submitted to Catagolue by David S. Miller.[1]
Glider synthesis
Mark Niemiec's website lists the pentapole as having a 10-glider synthesis as of 2013, using a three-glider component on an existing quadpole to lengthen it by one stage.[2] This has since been reduced to 8 gliders, based on an asymmetric seven-glider collision which produces a pentapole alongside an easily removable boat.
| Pentapole-plus-boat synthesis (click above to open LifeViewer) |
See also
References
- ↑ gameoflifeboy (April 1, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ http://conwaylife.com/ref/mniemiec/p2.htm
External links
- Pentapole at the Life Lexicon
- 11P2.1 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 38
- Natural periodic objects
- Oscillators with 11 cells
- Periodic objects with minimum population 11
- Patterns with 11 cells
- Patterns found by MIT group
- Patterns found in 1970
- Patterns that can be constructed with 8 gliders
- Oscillators
- Barberpole variants
- Oscillators with period 2
- Oscillators with mod 1
- Oscillators with heat 10
- Oscillators with volatility 0.63
- Oscillators with strict volatility 0.63
- Patterns with bilateral diagonal symmetry
- Flipping oscillators