A for all
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| A for all | |||||||||
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| Pattern type | Oscillator | ||||||||
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| Number of cells | 28 | ||||||||
| Bounding box | 10 × 10 | ||||||||
| Period | 6 (mod: 3) | ||||||||
| Heat | 13.3 | ||||||||
| Volatility | 0.73 | 0.73 | ||||||||
| Kinetic symmetry | +k*k | ||||||||
| Discovered by | Dean Hickerson | ||||||||
| Year of discovery | 1993 | ||||||||
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- Not to be confused with Big A.
A for all is a period-6 oscillator found by Dean Hickerson on March 6, 1993.[1] Its claimed 13-glider synthesis was found by David Buckingham in 1993, but was forgotten about and not revealed until August 1995. This synthesis was later found to be invalid due to gliders crossing paths and replaced with a similar 12-glider synthesis which avoids this issue.[2]
About one in 289,000 soups in the correct symmetry (D4_+4) form an A for all.
Similar block-hassling oscillators
These are oscillators that perturb a block on their edge by two diagonally-adjacent cells throughout a full phase, that eventually returns to a block through the outward-facing grin predecessor.
| unnamed p3 (click above to open LifeViewer) Catagolue: here |
| O for ball,[n 1] p7 (click above to open LifeViewer) Catagolue: here |
| unnamed p8[n 2] (click above to open LifeViewer) Catagolue: here |
See also
Notes
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ Jeremy Tan (April 18, 2019). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
External links
- A for all at the Life Lexicon
- A for all at Adam P. Goucher's Catagolue
- 28P6.5 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Oscillators with 28 cells
- Periodic objects with minimum population 28
- Patterns with 28 cells
- Patterns found by Dean Hickerson
- Patterns found in 1993
- Patterns that can be constructed with 12 gliders
- Oscillators
- Oscillators with period 6
- Oscillators with mod 3
- Oscillators with heat 13
- Oscillators with volatility 0.73
- Oscillators with strict volatility 0.73
- Oscillators with +k*k symmetry
- Semi-natural periodic objects