Difference between revisions of "Beehive"

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== [[Glider synthesis]] ==
== [[Glider synthesis]] ==

Revision as of 17:18, 24 January 2022

Beehive
x = 4, y = 3, rule = B3/S23 b2o$o2bo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]]
Pattern type Strict still life
Number of cells 6
Bounding box 4 × 3
Frequency class 0.9
Discovered by JHC group
Year of discovery 1970

Beehive is a 6-cell still life. It can be seen as a weld of two tubs. It was found by the JHC group in 1970.[1]

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

The first pattern in the gallery is the "procrestinator", mentioned in Lifeline Volume 4. It is a fairly common sequence. It produces a single beehive after 76 generations.

The second pattern in the gallery 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 procrestinator. An example of a beehive being pushed one cell can be seen here.

Commonness

The beehive is the second most common still life in Achim Flammenkamp's census, being less common than block but over three times as common as loaf.[2]

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.[3]

Glider synthesis

All strict still lifes with a population of 21 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 31 or fewer cells are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.

Gallery

[[:RLE:Beehiveprocrestinator]] #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 16 THUMBSIZE 2 ]]
The procrestinator mentioned above

(click above to open LifeViewer)
RLE: here Plaintext: here
x = 9, y = 4, rule = B3/S23 b2o$o2bo3b2o$obo4b2o$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 16 THUMBSIZE 2 ]]
The second pattern mentioned above

(click above to open LifeViewer)
RLE: here Plaintext: here

See also

References

  1. Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  2. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  3. Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.

External links