Pond
| Pond | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 8 | ||||||||
| Bounding box | 4 × 4 | ||||||||
| Frequency class | 5.0 | ||||||||
| Static symmetry | *k (D8_4) | ||||||||
| Discovered by | JHC group | ||||||||
| Year of discovery | 1970 | ||||||||
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Pond is an 8-cell still life discovered by the JHC group in 1970.[1] It is the smallest lake, followed by the 24-cell lake 2.
It can be seen as containing a photonegative block.
Occurrence
Pond is the seventh most common still life on Adam P. Goucher's Catagolue, being less common than tub but more common than long boat. Among all still lifes with 8 cells, it is the absolute most common, followed by mango.[2] It is also the ninth most common object overall on Catagolue.
The pond was the sixth most common still life in Achim Flammenkamp's census, being slightly less common than tub and more common than ship.[3] Refer to the ship page for why it ended up being less common than the tub.
Compared to Catagolue's typical 16 × 16 soups, the pond is 19% more common in 8 × 8 soups and 7% more common in 10 × 10 soups.
Many ponds originate from a common tetraplet predecessor called the prepond.
| Prepond (click above to open LifeViewer) RLE: here Plaintext: here |
Pre-pond appears in jaydot, a small methuselah.
Glider synthesis
- Main article: Glider synthesis
There are two 2-glider collisions, one head-on and another perpendicular, that produce a clean pond. A pond can also be made by colliding a glider into a blinker.
| Glider syntheses of pond from Mark Niemiec's database (click above to open LifeViewer) |
As a catalyst
A pond recovers when hit in a specific diagonally symmetric way. This can be seen in the period-3 biting off more than they can chew and the higher-period examples below.
| Periods 6 with Sombrero, 8 with an unnamed oscillator, 9 with worker bee, 10 with multiple oscillators, 13 with 66P13, and 30 with Queen bee shuttle (click above to open LifeViewer) RLE: here Plaintext: here |
In other rules
The prepond turns into a pond in 32 Life-like rules, from B3/S23 to B378/S23678, but it dies out in some rules including HighLife and Grounded Life (B35/S23). Consequently, the pond occurs less commonly in these rules.
See also
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on June 18, 2009.
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
External links
- Pond at the Life Lexicon
- Pond at Adam P. Goucher's Catagolue
- The 9 eight-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 0/8pd.rle)
- Pond at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 5
- Natural periodic objects
- Periodic objects with minimum population 8
- Patterns with 8 cells
- Patterns found by JHC group
- Patterns found in 1970
- Patterns that can be constructed with 2 gliders
- Still lifes
- Strict still lifes
- Strict still lifes with 8 cells
- Strict still lifes with *k symmetry