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$7b2o4b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBNAIL THUMBSIZE 2 ZOOM 16 ]]
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2 fumaroles and a blinker
(click above to open LifeViewer)
RLE: here Plaintext: here |
Construction
In February 2000 Stephen Silver found a 7-glider synthesis of this oscillator.[3]
There are known alternate syntheses.[4][5]
Occurrence
- See also: List of common oscillators
On Catagolue, it is the second most common period 5 oscillator, being less common than octagon II but more common than Elkies' p5.[6]
x = 9, y = 11, rule = B3/S23
o5bo$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.[7]
(click above to open LifeViewer)
RLE: here Plaintext: here |
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x = 18, y = 7, rule = B3/S23
8b2o$7bo2bo$7bo2bo$3o5b2o5b3o$o2bo10bo2bo$o2bo10bo2bo$b3o10b3o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBNAIL THUMBSIZE 2 ZOOM 16 ]]
| A stator variant of fumarole can form from a pond and two fleet predecessors.[8]
(click above to open LifeViewer) |
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See also
References
External links
