Fumarole

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Fumarole
3b2o3b$bo4bob$bo4bob$bo4bob$2bo2bo2b$obo2bobo$2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 2 THUMBSIZE 2 ]]
Pattern type Oscillator
Number of cells 18
Bounding box 8×7
Frequency class 35.8
Period 5
Mod 5
Heat 12.8
Volatility 0.72
Strict volatility 0.72
Discovered by Dean Hickerson
Year of discovery 1989

Fumarole is a period-5 oscillator that was found by Dean Hickerson on September 3, 1989.[1] In terms of its 18 cells it is the fourth smallest period 5 oscillator, after pseudo-barberpole, octagon 2, and Silver's p5; however, its 7×8 bounding box is the smallest of any known period 5 oscillator.

The domino spark that it provides makes it useful in the construction of higher period oscillators such as the p35 beehive hassler, p40 B-heptomino shuttle, and 98P25. On September 1, 1995, Noam Elkies found a way to non-trivially combine two fumaroles and a blinker into a period 10 oscillator, shown below;[2] 4 can be combined in a similar fashion.

x = 15, y = 12, rule = b3/s23 2o13b$o2b2o4bo5b$b2ob2o3bo5b$4b2o3bo5b$4b2o9b$b2ob2o4b2o3b$o2b2o3bo4bo b$2o6bo4bob$8bo4bob$9bo2bo2b$7bobo2bobo$7b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 2 ZOOM 16 ]]
2 fumaroles and a blinker
(click above to open LifeViewer)
RLE: here Plaintext: here

In February 2000 Stephen Silver found a 7-glider synthesis of this oscillator.[3]

Commonness

On Catagolue, it is the second most common period 5 oscillator, being less common than octagon II but more common than Elkies' p5.[4]

x = 9, y = 11, rule = B3/S23 o5bo$o2b2o$2bo2bo$3bobo$4bo5$b2o4b2o$b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 2 ZOOM 16 ]]
A very common predecessor of fumarole involves two blocks
and a region resembling two xWSS heads glued together.[5]
(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. x-oscs-new-p001-019.lif pattern collection
  3. Jason Summers' jslife pattern collection.
  4. Adam P. Goucher. "Statistics". Catagolue. Retrieved on October 27, 2018.
  5. Dave Greene (March 12, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums

External links

  • 18P5.1 at Heinrich Koenig's Game of Life Object Catalogs