Diamond ring
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| Diamond ring | |||||||||||
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| Pattern type | Oscillator | ||||||||||
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| Oscillator type | Billiard table | ||||||||||
| Number of cells | 40 | ||||||||||
| Bounding box | 13×13 | ||||||||||
| Period | 3 | ||||||||||
| Mod | 3 | ||||||||||
| Heat | 13.3 | ||||||||||
| Volatility | 0.38 | ||||||||||
| Strict volatility | 0.38 | ||||||||||
| Discovered by | David Buckingham | ||||||||||
| Year of discovery | 1972 | ||||||||||
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Diamond ring is a period-3 oscillator that was found in 1972 by David Buckingham.[1][2] Its generations have 40, 44, and 48 cells. 1 in 1.7 million odd-width eightfold symmetric soups (D8_1) form a diamond ring in the centre.
It serves as the logo of Shinjuku.
Synthesis
In August 2004 Jason Summers found a 28-glider synthesis of a variation of this oscillator with an alternate stator.[3] A 24-glider synthesis of the original version was later found by Jeremy Tan on March 29, 2019 based on a soup submitted to Catagolue.[4]
References
- ↑ Robert Wainwright (March 1973). Lifeline, vol 9, page 3.
- ↑ Dean Hickerson's oscillator stamp collection.
- ↑ Jason Summers' jslife pattern collection.
- ↑ Jeremy Tan (March 29, 2019). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
External links
- Diamond ring at the Life Lexicon
- 40P3.15 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Oscillators with 40 cells
- Periodic objects with minimum population 40
- Patterns with 40 cells
- Patterns found by David Buckingham
- Patterns found in 1972
- Patterns that can be constructed with 24 gliders
- Oscillators
- Billiard tables
- Oscillators with period 3
- Oscillators with mod 3
- Oscillators with heat 13
- Oscillators with volatility 0.38
- Oscillators with strict volatility 0.38
- Patterns with complete square symmetry
- Semi-natural periodic objects