Difference between revisions of "Beehive"
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Revision as of 10:38, 2 November 2022
| Beehive | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 6 | ||||||||
| Bounding box | 4 × 3 | ||||||||
| Frequency class | 0.9 | ||||||||
| Discovered by | JHC group | ||||||||
| Year of discovery | 1969 | ||||||||
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Beehive is a 6-cell still life. It can be seen as a weld of two tubs. As a tetromino descendant, it was one of the first objects found.
Behaviour
Beehives are frequently born in a set of four called honey farm.
It is possible to turn a single beehive into one by adding a corner (turning it into a bun), adding a cell to the "tip" of it (the bit with one cell, adding it to the longer end will result in an R-pentomino grandson) or by adding one cell inside it. There are also formations of two beehives that also occur fairly commonly, evolving from seeds known as butterfly and teardrop.
A beehive can be eaten with a block, a reaction that allows the construction of the queen bee shuttle and further patterns based on it.
Some reactions push a beehive one cell. If space permits, the beehive push catalyst can push it back.
Sequences that produce just a beehive
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The first pattern above is the "procrastinator", mentioned in Lifeline Volume 4. It is a fairly common sequence. It produces a single beehive after 76 generations.
The second pattern above is a phi spark predecessor hitting a block, which then becomes a traffic light hitting a block, which then becomes a single beehive. The beehive forms in generation 51, but it takes until generation 79 for the remaining active region to clear. It is semi-common, but not as common as the procrastinator. An example of a beehive being pushed one cell can be seen here.
Commonness
- Main article: List of common still lifes
Beehive is the second most common still life on Adam P. Goucher's Catagolue, being less common than block but more common than loaf. Among all still lifes with 6 cells, it is the absolute most common, followed by ship.[2] The beehive was also the second most common still life in Achim Flammenkamp's census, again being less common than block but over three times as common as loaf.[3]
Glider synthesis
There is a perpendicular 2-glider collision that produces a beehive via an intermediate tail.
See also
References
- ↑ Robert Wainwright (December 1971). Lifeline, vol 4, page 4.
- ↑ 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
- Beehive at the Life Lexicon
- Beehive at Adam P. Goucher's Catagolue
- The 5 six-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 0/6hv.rle)
- Beehive at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 0
- Natural periodic objects
- Periodic objects with minimum population 6
- Patterns with 6 cells
- Patterns found by JHC group
- Patterns found in 1969
- Patterns that can be constructed with 2 gliders
- Still lifes
- Strict still lifes
- Strict still lifes with 6 cells
- Patterns with rectangular orthogonal symmetry