Difference between revisions of "P126 R-pentomino hassler"

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m (U-turner hassler)
m ("using" rather than "based on". The U-turner hassler is based on a p126 U-turner partial, which is supported by p126 R-pentomino hasslers.)
Line 94: Line 94:
|viewerconfig = #C [[ THUMBNAIL THUMBSIZE 2 THEME Book AUTOSTART GPS 30 HEIGHT 500 ZOOM 2 ]]
|viewerconfig = #C [[ THUMBNAIL THUMBSIZE 2 THEME Book AUTOSTART GPS 30 HEIGHT 500 ZOOM 2 ]]
|position    = center
|position    = center
|caption      = p126 [[U-turner hasslers#p126|U-turner hassler]], based on this oscillator
|caption      = p126 [[U-turner hasslers#p126|U-turner hassler]] using two copies of the p126 R hassler
|style        = width:300px;
|style        = width:300px;
}}
}}

Revision as of 15:26, 30 December 2023

p126 R-pentomino hassler
x = 42, y = 20, rule = B3/S23 26bo$24b3o6b2o3bo$23bo9bobobobo$23b2o10bob2o$2o32bobo$bo32bobob3o$bobo 31b2obo2bo$2b2o36b2o$20bo$18b2ob2o$18bo2bo$19b2o5$32bo$33b2o$31b2o$33b o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 400 WIDTH 600 THUMBSIZE 2 ZOOM 12 GPS 21 ]]
Pattern type Oscillator
Number of cells 52
Bounding box 42 × 20
Period 126 (mod: 126)
Heat 26.3
Volatility 0.91 | 0.89
Kinetic symmetry Unspecified
Discovered by Mitchell Riley
iNoMed
Matthias Merzenich
Year of discovery 2023

The p126 R-pentomino hassler is an oscillator found by Mitchell Riley on August 27, 2023, and then monomerised by iNoMed and reduced by Matthias Merzenich on the same day.[1]

It is the smallest known period-126 oscillator by population. Its discovery led to a new smallest known true period 126 glider gun[2], as well as a U-turner hassler.

x = 41, y = 34, rule = B3/S23 27b2o$27bo2b2o$28b2ob3o$34bo$28b2ob3o$9bo18b2obo$7bobo$8bobo$8bo$17bo 16b2o$16b2o16b2o$15bo$16bo$21bo$21b2o$20b2o2$2o$o2bob2o32bo$b3obobo30b obo$5bobo31b2o$3b2obo10b2o$2bobobobo9bo15b2o$3bo3b2o6b3o15bobo$15bo18b o$37b2o$36bo2bo$34bo2bobo$33bo4bo$33bo$24bo10b3o$22b2o6bo$24b2o5bo$23b o5b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 2 THEME Book AUTOSTART GPS 30 ]]
Smallest known p126 gun.
(click above to open LifeViewer)
x = 86, y = 242, rule = B3/S23 33b2o12b2o$33bobo4b2o4bobo$35bo3bo2bo3bo$35b2o3b2o3b2o$37bo6bo$35b3o6b 3o$34bo12bo$32bo2b2ob6ob2o2bo$32b2obobo6bobob2o$33bobo10bobo$33bo6b2o 6bo$34b2o10b2o4$34b2o4b4o4b2o$34bobo2bob2obo2bobo$36b4o4b4o$35bo4bo2b o4bo$35bob3o4b3obo$36bo3bo2bo3bo$39b6o$40b4o$39b2o2b2o$38bo6bo$39bo4b o$38b2o4b2o$38b2ob2ob2o$37b2o6b2o$37b3o4b3o3$34b2ob2o6b2ob2o$34bo4bo4b o4bo$35b5ob2ob5o$40bo2bo$37bo2bo2bo2bo$36bobo6bobo$33bo2b2ob6ob2o2bo$ 33b3o2bo6bo2b3o$36b3o6b3o$35bo3bo4bo3bo$35b2ob2o4b2ob2o$33b2o14b2o$32b o2b4o6b4o2bo$32b3o5b4o5b3o$35bo2b8o2bo$34bo4b6o4bo$34bo14bo$31b2obobo 10bobob2o$31b2obob2o2b4o2b2obob2o$34bo3b3o2b3o3bo$34bo4bo4bo4bo$31b2o bobo4b2o4bobob2o$31bo2bob4ob2ob4obo2bo$32b3o4b2o2b2o4b3o$35b4o6b4o$34b o2bo2bo2bo2bo2bo$34b2o2b2o4b2o2b2o$38b2o4b2o$39bob2obo$31b2o5bo6bo5b2o $31bobo3b2o6b2o3bobo$33bo4b2o4b2o4bo$33b2o2b3o4b3o2b2o$36bo10bo$33b2o bobobo2bobobob2o$33bo6bo2bo6bo$34b2obo3b2o3bob2o$35bobobob2obobobo$35b o2b3o2b3o2bo$33bobo12bobo$32bobob4o4b4obobo$32bobo3b2o4b2o3bobo$31b2o bo2bobob2obobo2bob2o$34bob2ob2o2b2ob2obo$34bobo10bobo$33b2o5bo2bo5b2o $35bo12bo$35bobob2o2b2obobo$32b2obobobob2obobobob2o$32bo2bobob2o2b2ob obo2bo$33b2obo10bob2o$36bob2ob2ob2obo$33b2o2bobo4bobo2b2o$32bob2obo8b ob2obo$31bo5bo8bo5bo$32b3obo2bo4bo2bob3o$34bob4ob2ob4obo$34bo6b2o6bo$ 36b2ob2o2b2ob2o$30bo5b2o3b2o3b2o5bo$30b3o5bo6bo5b3o$33bo4bo2b2o2bo4bo $32bo2bo3b2o2b2o3bo2bo$30bo2b3o3b6o3b3o2bo$30b3o6bo4bo6b3o$33bo5b2o2b 2o5bo$32bo4bob2o2b2obo4bo$32b6o8b6o$36bo10bo$34b2o5b2o5b2o$34bo2bo3b2o 3bo2bo$9bo25b4o6b4o$7bobo27b2ob4ob2o$8bobo29b4o$8bo$39b6o$22b3o14b6o$ 20bobo17b4o11bo$19bob2o3b2o26bob4o$18bo3bo3b2o25bobob3o$19bo3bo28bobo $21bo31bo$41bo11b2o$2o19bobo17bo11b2o$o2bob2o14b2o17bo12b2o$b3obobo$5b obo$3b2obo10b2o23b3o25bo$2bobobobo9bo23b3o23b3o6b2o3bo$3bo3b2o6b3o23b obo23bo9bobobobo$15bo25b2o24b2o10bob2o$78bobo$78bobob3o$31b2o38bo7b2o bo2bo$31bo2bo35bobo11b2o$70bobo$65b2o4bo$31bob2o29bobob2o$26b2o2bobo31b o4bo$26bo4bo33b3o2bo$30bo11b4o21bob2o$27bo2bo10b6o20bo2bo$41b6o21b2o$ 76bo$42b4o31b2o$39b2ob4ob2o26b2o$37b4o6b4o26bo$36bo2bo3b2o3bo2bo$36b2o 5b2o5b2o$38bo10bo$34b6o8b6o$34bo4bob2o2b2obo4bo$35bo5b2o2b2o5bo$32b3o 6bo4bo6b3o$32bo2b3o3b6o3b3o2bo$34bo2bo3b2o2b2o3bo2bo$35bo4bo2b2o2bo4b o$32b3o5bo6bo5b3o$32bo5b2o3b2o3b2o5bo$38b2ob2o2b2ob2o$36bo6b2o6bo$36b ob4ob2ob4obo$34b3obo2bo4bo2bob3o$33bo5bo8bo5bo$34bob2obo8bob2obo$35b2o 2bobo4bobo2b2o$38bob2ob2ob2obo$35b2obo10bob2o$34bo2bobob2o2b2obobo2bo $34b2obobobob2obobobob2o$37bobob2o2b2obobo$37bo12bo$35b2o5bo2bo5b2o$36b obo10bobo$36bob2ob2o2b2ob2obo$33b2obo2bobob2obobo2bob2o$34bobo3b2o4b2o 3bobo$34bobob4o4b4obobo$35bobo12bobo$37bo2b3o2b3o2bo$37bobobob2obobob o$36b2obo3b2o3bob2o$35bo6bo2bo6bo$35b2obobobo2bobobob2o$38bo10bo$35b2o 2b3o4b3o2b2o$35bo4b2o4b2o4bo$33bobo3b2o6b2o3bobo$33b2o5bo6bo5b2o$41bo b2obo$40b2o4b2o$36b2o2b2o4b2o2b2o$36bo2bo2bo2bo2bo2bo$37b4o6b4o$34b3o 4b2o2b2o4b3o$33bo2bob4ob2ob4obo2bo$33b2obobo4b2o4bobob2o$36bo4bo4bo4b o$36bo3b3o2b3o3bo$33b2obob2o2b4o2b2obob2o$33b2obobo10bobob2o$36bo14bo $36bo4b6o4bo$37bo2b8o2bo$34b3o5b4o5b3o$34bo2b4o6b4o2bo$35b2o14b2o$37b 2ob2o4b2ob2o$37bo3bo4bo3bo$38b3o6b3o$35b3o2bo6bo2b3o$35bo2b2ob6ob2o2b o$38bobo6bobo$39bo2bo2bo2bo$42bo2bo$37b5ob2ob5o$36bo4bo4bo4bo$36b2ob2o 6b2ob2o3$39b3o4b3o$39b2o6b2o$40b2ob2ob2o$40b2o4b2o$41bo4bo$40bo6bo$41b 2o2b2o$42b4o$41b6o$38bo3bo2bo3bo$37bob3o4b3obo$37bo4bo2bo4bo$38b4o4b4o $36bobo2bob2obo2bobo$36b2o4b4o4b2o4$38b2o10b2o$37bo6b2o6bo$37bobo10bo bo$36b2obobo6bobob2o$36bo2b2ob6ob2o2bo$38bo12bo$39b3o6b3o$41bo6bo$39b 2o3b2o3b2o$39bo3bo2bo3bo$37bobo4b2o4bobo$37b2o12b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 2 THEME Book AUTOSTART GPS 30 HEIGHT 500 ZOOM 2 ]]
p126 U-turner hassler using two copies of the p126 R hassler
(click above to open LifeViewer)

See also

References

  1. iNoMed (August 27, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. Matthias Merzenich (August 27, 2023). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums