Four boats
| Four boats | |||||||||
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| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Oscillator type | Babbling brook | ||||||||
| Billiard table | |||||||||
| Number of cells | 16 | ||||||||
| Bounding box | 8 × 8 | ||||||||
| Frequency class | 33.5 | ||||||||
| Period | 2 | ||||||||
| Mod | 2 | ||||||||
| Heat | 4 | ||||||||
| Volatility | 0.20 | ||||||||
| Strict volatility | 0.20 | ||||||||
| Rotor type | Diagonal on-off | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | Unknown | ||||||||
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Four boats (or hourglass[1]) is a period-2 oscillator, which is composed of four boats in one of its phases. It has two diagonal on-off rotors enclosed by a common stator. While the two rotors are not connected, the stability of the stator still requires them to be in the same phase. It is the most common billiard table oscillator that qualifies under the most strict definition of the term; that the rotor has to be completely surrounded by the stator in all orthogonal directions.
A 6-glider synthesis of this oscillator was found by gmc_nxtman on July 12, 2017.[2]
Formation
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Four boats is typically, but not always, formed by an R-turner (see generation 16 in the pattern above) hitting an object such as a block to form a fourfold diagonally symmetric object, then being hit on both sides in a specific way simultaneously. The unstable object shown at generation 0 turns into an R-turner plus an R-pentomino that allows it to be hit on the side in exactly the correct generation. The block and beehive shown are just examples; anything with the same leading edge, including an unstable object, works.
Occurrence
- See also: List of common oscillators
Four boats is the fifty-second most common oscillator in asymmetric soups.
It is the twenty-fifth most common object on Catagolue in the symmetry the object has (D4_x4), making it the fourth most common period-2 oscillator in that symmetry.
Gallery
The on phase of this oscillator, the one which led to naming it four boats
See also
References
- ↑ Life objects sorted by name at Mark D. Niemiec's Life Page
- ↑ gmc_nxtman (July 12, 2017). Re: Soup search results (discussion thread) at the ConwayLife.com forums
External links
- 4 boats at the Life Lexicon
- Four boats at Adam P. Goucher's Catagolue
- 16P2.98 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 33
- Natural periodic objects
- Oscillators with 16 cells
- Periodic objects with minimum population 16
- Patterns with 16 cells
- Patterns that can be constructed with 6 gliders
- Oscillators
- Babbling brooks
- Billiard tables
- Oscillators with period 2
- Oscillators with mod 2
- Oscillators with heat 4
- Oscillators with volatility 0.20
- Oscillators with strict volatility 0.20
- Oscillators with rotor Diagonal on-off
- Patterns with rectangular diagonal symmetry