P3 dot fountain

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P3 dot fountain
x = 67, y = 38, rule = B3/S23 34bo2$14bo4bobo3bob2ob3o3b3o11b2o2b2ob2o3bob2o$b2o11bo2b3obo3bo4bo2b3o 2bobo9bobo2bobobobob2obo$o2bob2o3bo2bob3o2b2o2bo4bo3b3o2bobo11b2o3bobo bo4bo$2ob4o2bobo5b3o7bo5bo7b4o3bo2bo2b3o2bo2bob2o$bo8bo4bo6b3obobo8b3o 7bobo4b2o4bo3bo$bobobo5b3o3bob4o3b2o2b5ob3o4b2o2bo3bob2o4b2o3bo$2o4bo 3b3o4bo9bob3o12b3o2bo5b2o2bo2bob2o$2bobobo13bo3bob2o4bo2b2o7b2o2b5o2b 3obobo4bo$2bobob2o3bo4b4o3bo4bo3b2ob4o9bo2b2obo2bobobob2obo$3b2obob2o 12bo2bo2bobob2o3bobo9b2obobobobo3bob2o$7b2o2bo3bo2b2o2b4ob3o2b2o6bo9bo bobob2o$10b2o3bobobo7bo11b3ob2obo2bo2b2o$16bo5b3obob2o6b2obob2o2b2o2b 2o$22bo4bo3bo4b2obobobo$24b2o2bobo2bo3b3o4b3o$18b2o3b2obobobo2bo4bo2bo bo2bo$18bo4b4obobob2o5bo3bobo$19bobo5bo4bo5b4o3b2o$21b3o3bobobo6bo3b2o 3bo$18bo3b4obo11b2o4b2o$14b2obobo3bob2obo2bo9b4o$15bobobobo6bobo10bo2b o$14bo2b4ob2ob2obobob2o$15b2o2bo3b2obobobo$17bo4bo3bobo3bo$17bo3bob3o 3b2o$18b2obo$21bob3o$20b2obo2bo$18b3o2bob2o$17bobo3bo$17bo3bobo$18b2ob 2o2$16b7o$16bo2bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 2 ZOOM 8 GPS 1 HEIGHT 360 ]]
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Pattern type Oscillator
Number of cells 443
Bounding box 67 × 38
Period 3 (mod: 3)
Heat 250.7
Volatility 0.59 | 0.59
Kinetic symmetry -e
Discovered by James Pascua
Year of discovery 2021

P3 dot fountain is a period-3 oscillator discovered by James Pascua on August 20, 2021.[1] It was the first known period 3 strong dot sparker (i.e. the dot is isolated enough that it could be removed without destroying the oscillator), similar to the 258P3 discovered over 20 years earlier, but with an isolated dot instead of a domino. Before this discovery, it had seemed likely that no strong dot sparkers were possible at period 3.[2]

The form in the infobox was the first discovered P3 dot fountain. Since then, several more P3 strong dot sparkers have been discovered, which are smaller or have better clearance. See below for these sparkers.

x = 65, y = 23, rule = B3/S23 27bo2$14bob2o5b3o3b2obo5bo3b2ob2o12bo2bo$4b2o8b2o2bo2bobo2b3o3bobo2bo bo3bobobo4b2o3b6o$2obo2bo5b2o3bo3bo3b3o2bo6bob4o2bobo3bo2bobo$bobobo2b 2obo3b2ob4o4b2obob4o3bo6bobob3o2bobob3o$bo2bob2obob4obo9bo3b2obobob2o 2bo3bo4bobobob3o2bob2o$2bobo2bo7bobo2bob4o8bo4b2o2bo3b2obo4bo2b4obo$b 2ob2o3b3obo2bo3bo3b2ob4o2bobo3b2o5bo7b2obo6bo$o2bo4bo4bob2ob2o6bobob2o 2bobo6b2ob5o4bo2b2ob3o$2o2b2o3bo6bobo2b2o4bo3b2obobobo2b3obo2bo2bob5o bo$bobo2b3o2b4obobobob5o4b2o2b3obo5bobob2o2bob2o2bo2b2o$bo2bo4b2o3bob ob2obo13bo4bob2o4bobobo6bobo2bo$2b2o4bo2bo4bo2bob4o5bobo2bob2obobo4bo bo2b6o4b2o$9b2o5b5o3bo5b2o4b2obo3b3o4bo7b4o$21b3o9bo5bob2o2b4ob2ob2ob 2obobo$18b2obo8b2obob4obo2bo4bobo3bobo3bo$18bobo10bobo2bobobo2bobobo2b o3bobo4b3o$31bo2bobobob2obob2o3b2o3bo7bo$32bobob4o2bo$33bobo5bo$35bob 4o$35b2obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 THUMBSIZE 2 GPS 2 AUTOSTART LOOP 3 WIDTH 640 ]]
A smaller form of the P3 dot fountain,
discovered by James Pascua on August 22, 2021
(click above to open LifeViewer)
Catagolue: here
x = 50, y = 23, rule = B3/S23 16bo2$12b3o3b2obo$10bobo2b3o3bobo$10bo3b3o2bo6bo3b2o$8b3o4b2obob4o3bo 2bobobo6bo$2ob2o2bo7bo3b2obobo3bobobobo2b2obobo$2obo2bo2bob4o8b2ob2o2b obo3bobobo2bobo2bo$3bob2ob2o3b2ob4o2bobo3bobo4bo2bob2obob4o$2o4bo2bo5b obob2o2bo4bo6bo2bo4bo$o2bo2b2o2b2o4bo3b2obob2o4bo6bobobob5o$b3ob2obo2b 5o4b2o2bo4bobo5b2obo3bobo2bo$2bo3b2ob2o16bo5bo2b2o2bob2o2bob2o$2b3o5b 4o8bobo2bo5bo2b2obo3b4obo$3bo3b2obo2bo6b2o2bobob2o3b2obo5b2o4bo$bo3b2o 5bo12b2o9bo2bo3bo2b2o$ob2ob2obob2o9bobo2bo3bo2bo5bobobobo$o5bob2o12bo 3bo5bo7bobo2bo$b5o5b3o9b2obob2ob4ob2o2bo3b2ob2o$5bobob2o2bo12bob2obo4b o3bobo2bob2o$3bobobo2bo16bo2bo2bob2obo3bo2bo$3b2o2bobo13b4o3bo4bobo5b obo$7b2o15b2o6b2o2b2o6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 GPS 2 AUTOSTART LOOP 3 WIDTH 640 ]]
An even smaller form with higher clearance,
discovered by James Pascua on August 24, 2021
(click above to open LifeViewer)
Catagolue: here
x = 22, y = 20, rule = B3/S23 10bo3bo$13b2o$6b3o3bo$4bobo2b3ob2obo$4b2o3b3o5bo$2b3o4bo3bobobo$bo4bo 6bo4b2o$2b2o4b3ob6o2bo$3b3obobob2obo2bobobo$3b2o4bo6bo2bobo$b2obob4obo 4bobobo$2bobo8b3o2bo$o2bo3bob2o7bo$3o5bobobob4o$3b5o4bo$2bo5bobobo2bo$ 3b4o2b2ob4o$5bo$7bo6b2o$6b2o6b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 THUMBSIZE 2 GPS 2 AUTOSTART LOOP 3 WIDTH 640 ]]
A much smaller form with less clearance on one side,
discovered by Aleph on April 27, 2022
(click above to open LifeViewer)
Catagolue: here
x = 21, y = 18, rule = B3/S23 16b2o$11bo3bo2bo$14bobobo$7b3o3bob2ob2o$5bobo2b3o4bo$5b2o3b3ob2obo$3b 3o4bo3bobo$2bo4bo$3b2o4b3o$4b3obobobob2o$4b2o4bobo5b2o$ob2obob4obobo4b o$2obobo6bob5o$4bo3bo3b2obo$5b4o7b5o$17bo2bo$7b2o6bo$7b2o6b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 THUMBSIZE 2 GPS 2 AUTOSTART LOOP 3 WIDTH 640 ]]
Current smallest known P3 strong dot sparker,
discovered by Aleph on April 27, 2022
(click above to open LifeViewer)
Catagolue: here
x = 50, y = 41, rule = B3/S23 35bo$33b3o$32bo$32b2o2$29b2o$29b2o6bo$37b2o4b2o$40bob4ob2o$38bo10bo$ 15b2o21b2o2bo2bo2bo$15bo3b2o18bo7bo$12b2obobo3bo17bob4o$12b2obo4bo19b 2ob2o$16b2obo2$36b2o$31bo3bo2bo$34bobobo$27b3o3bob2ob2o$25bobo2b3o4bo$ 25b2o3b3ob2obo$23b3o4bo3bobo$22bo4bo$23b2o4b3o$24b3obobobob2o$24b2o4bo bo5b2o$20bob2obob4obobo4bo$20b2obobo6bob5o$24bo3bo3b2obo$25b4o7b5o$37b o2bo$27b2o6bo$27b2o6b2o5$2o$b2o$o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 THUMBSIZE 2 GPS 48 AUTOSTART LOOP 235 WIDTH 640 X 5 Y -3 ]]
An example use of the P3 dot fountain
in a p3 hotcrystal0 reflector
(click above to open LifeViewer)

References

  1. ↑ James Pascua (August 20, 2021). Re: JP21's Isolated Sandbox Thread (discussion thread) at the ConwayLife.com forums
  2. ↑ Entity Valkyrie (September 30, 2023). Re: Unproven conjectures (discussion thread) at the ConwayLife.com forums
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