Octagon 4
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| Octagon 4 | |||||||||||
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| Pattern type | Oscillator | ||||||||||
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| Number of cells | 40 | ||||||||||
| Bounding box | 16 × 16 | ||||||||||
| Period | 4 | ||||||||||
| Mod | 4 | ||||||||||
| Heat | 48 | ||||||||||
| Volatility | 0.83 | ||||||||||
| Strict volatility | 0.67 | ||||||||||
| Discovered by | Robert Wainwright | ||||||||||
| Year of discovery | 1979 | ||||||||||
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Octagon 4 is a period-4 oscillator, discovered in January 1979 by Robert Wainwright.[1] It consists of a regular octagon with sides four cells long and of four blocks.
In August 2004 Jason Summers and Mark Niemiec found a 34-glider synthesis of this oscillator,[2] which was improved to 18 gliders by Jeremy Tan on May 17, 2019.[3] A 16-glider synthesis was found on April 22, 2023.[4]
The oscillator first appeared semi-naturally in October 2014 in a soup found by Matthias Merzenich using apgsearch.[5] Almost exactly 3 in 100000 (within the margin of error) even-width eightfold (D8_4) symmetric soups will form an octagon 4 in the centre.
Without the blocks, the octagon will become 4 ponds.
See also
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ Jason Summers' jslife pattern collection.
- ↑ Jeremy Tan (May 17, 2019). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ shinjuku (#4159809849) (April 22, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ Matthias Merzenich (October 2, 2014). Re: Soup search results (discussion thread) at the ConwayLife.com forums
External links
- Octagon 4 at the Life Lexicon
- 40P4.19 at Heinrich Koenig's Game of Life Object Catalogs
- Octagon 4 at Adam P. Goucher's Catagolue
Categories:
- Patterns
- Oscillators with 40 cells
- Periodic objects with minimum population 40
- Patterns with 40 cells
- Patterns found by Robert Wainwright
- Patterns found in 1979
- Patterns that can be constructed with 16 gliders
- Oscillators
- Oscillators with period 4
- Oscillators with mod 4
- Oscillators with heat 48
- Oscillators with volatility 0.83
- Oscillators with strict volatility 0.67
- Patterns with complete square symmetry
- Semi-natural periodic objects