Fountain

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Fountain
x = 19, y = 15, rule = B3/S23 9bo2$3b2obo5bob2o$3bo5bo5bo$4b2ob2ob2ob2o2$6b2o3b2o$2o15b2o$o2bo3bobob o3bo2bo$b3ob9ob3o$4bo4bo4bo$3b2o9b2o$3bo11bo$5bo7bo$4b2o7b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 1 THUMBSIZE 3 ZOOM 18 HEIGHT 500 LOOP 4 ]]
Pattern type Oscillator
Number of cells 63
Bounding box 19 × 15
Period 4
Mod 4
Heat 38
Volatility 0.68
Strict volatility 0.68
Discovered by Dean Hickerson
Year of discovery 1994

Fountain is a period-4 oscillator that was found on November 28, 1994 by Dean Hickerson[1] and named by Bill Gosper.

Variants

x = 15, y = 13, rule = B3/S23 7bo2$3b2o5b2o$b2o4bo4b2o$5b2ob2o$bobo7bobo$bo2bobobobo2bo$5obobob5o$o 4bo3bo4bo$b3obobobob3o$3bob2obo2bo$8bobo$8b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 ZOOM 16 AUTOSTART ]]
A smaller fountain that is usually interchangeable with the form in the infobox, found by David Eppstein on May 21, 2000. It does not work with the p24 below, though
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x = 17, y = 15, rule = B3/S23 8bo2$5bo5bo$2b2o4bo4b2o$bob2ob2ob2ob2obo$bo13bo$4bo7bo$bo2bo7bo2bo$4bobo3bobo$bob3obobob3obo$o15bo$3o2bobobobo2b3o$3bobobobobobo$2obo2b2ob2o2bob2o$ob2o9b2obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 ZOOM 16 AUTOSTART ]]
A two-cell-thinner fountain with the same height and higher clearance and population.
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Hasslings

The fountain can hassle a traffic light in p24 with many variations, two of the most basic of which are shown here.

x = 39, y = 31, rule = B3/S23 32b2o$32bo2bo2$32bo2bo$31bo2bo$31bobo$11b2o19bo$11b2obo$15bo16b2o$12bo 19b2o$13bob2o$15b2o2$7b3o17b3o$7bobo17bobo$7b3o17b3o3$3b2o2b5o2b2o7b2o 2b5o2b2o$3bobobo3bobobo7bobobo3bobobo$4b3o5b3o9b3o5b3o$8bobo17bobo$6bo bobobo13bobobobo$2o4b7o4b2ob2o4b7o4b2o$o2b2o4bo4b2o2bobo2b2o4bo4b2o2bo $b3obo7bob3o3b3obo7bob3o$7b2ob2o15b2ob2o$3b2o9b2o7b2o9b2o$3bo11bo7bo 11bo$4bo9bo9bo9bo$3b2o9b2o7b2o9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 8 THUMBSIZE 2 ZOOM 8 AUTOSTART ]]
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This is used in a reaction with the p45 pi-heptomino hassler in the smallest period-360 glider gun on Catagolue as of March 2024.

x = 46, y = 29, rule = B3/S23 41b2ob2o$35b2o3bobobo$34bob5obo2bo$19b2o14bob2ob2ob3o$15b4o4b2o10bobo 4bo$15b3ob2o2b2o8b3o4bob2o$20bo12b3o4b2o2bo$32b2o6b5o$26bo5b3o$9b2o15b obo3b2o6b5o$9b2o15bo6b3o4b2o2bo$9b2o22b3o4bob2o$10bo24bobo4bo$9b3o23b ob2ob2ob3o$8b2ob2o21bob5obo2bo$7b2o3b2o21b2o3bobobo$8b2ob2o28b2ob2o2$ bo$obo$2o2$7bo6bo$6b2o6b2o$5b3o6b3o$6b2o6b2o$7bo6bo25bo$41bo$39b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 8 THUMBSIZE 2 ZOOM 8 AUTOSTART ]]
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Robert Wainwright found that when hassled by molds instead, the traffic light produces a blinker, acting as a factory, two copies of which may perturb a beehive to act as a p24 heavyweight emulator.[2]

x = 34, y = 25, rule = B3/S23 6bo20bo$4b2obo18bob2o$3bo26bo$2bobo2bo18bo2bobo$2bo2bo22bo2bo$3b2o4b3o10b3o4b2o$16b2o$10bo4bo2bo4bo$16b2o3$8b3o12b3o$3b2ob7ob2o2b2ob7ob2o$3bo3bobobo3bo2bo3bobobo3bo$4b4o3b4o4b4o3b4o$6bo5bo8bo5bo$6bo5bo8bo5bo$2o3b2o5b2o6b2o5b2o3b2o$o2b5obob5o2b5obob5o2bo$b3o4b3o4b4o4b3o4b3o2$3b2o9b2o2b2o9b2o$3bo11bo2bo11bo$4bo9bo4bo9bo$3b2o9b2o2b2o9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 8 HEIGHT 410 THUMBSIZE 2 ZOOM 12 AUTOSTART ]]
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See also

References

  1. Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  2. hotdogPi (November 4, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums

External links