Period-54 pi-heptomino hasslers

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Main article: Pi-heptomino hasslers

All known period-54 pi-heptomino hasslers.

x = 40, y = 54, rule = B3/S23 26bo9bo$26b3o5b3o$29bo3bo$28b2o3b2o$8bo$8b3o$2b2o7bo$bo2bob3o2bo18b3o$ o2b2obo2bobob2o14bo3bo$b2o2bo3bobo2bo8b2o3bo5bo3b2o$3b2o3bo3bo10bobo2b o5bo2bobo$3bo2bob4o13b2ob2o3b2ob2o$4bobo2bo14b5o5b5o$b4obo4b3o11b3o7b 3o$o4bob5o2bo12bo7bo$b3o2bo6bo$3bobob2ob3o$4b7o3$37b2o$37bo$35bobo$35b 2o2$12b2ob2o$12bo3bo7b3o$13b3o7bo3bo$23b2ob2o2$3b2o$2bobo$2bo$b2o3$29b 7o$27b3ob2obobo$26bo6bo2b3o$4bo7bo12bo2b5obo4bo$2b3o7b3o11b3o4bob4o$b 5o5b5o14bo2bobo$2b2ob2o3b2ob2o13b4obo2bo$obo2bo5bo2bobo10bo3bo3b2o$2o 3bo5bo3b2o8bo2bobo3bo2b2o$6bo3bo14b2obobo2bob2o2bo$7b3o18bo2b3obo2bo$ 28bo7b2o$29b3o$31bo$5b2o3b2o$6bo3bo$3b3o5b3o$3bo9bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 GPS 27 HEIGHT 500 THEME Book STARTFROM 54 ]]
270P54, found by Luke Kiernan and reduced by David Raucci
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RLE: here Plaintext: here
Catagoluehere
x = 51, y = 50, rule = B3/S23 14b2o$13bobo$12b3o$12b2o$13bobo$2o4bo7bobo2b2o$obo2bobo7bo2bobo$2b4ob o8b4o$obo2bobo2bo6b2o$2o4bo3bo$7bo3bo$11b2o$9bob2o$7b3o2b2o$9bob3o8b2o $9bob3o7bobo$7b3o2b2o7bo$9bob2o8bobo$11b2o9b2o$7bo3bo$2o4bo3bo$obo2bo bo2bo$2b4obo$obo2bobo$2o4bo$44bo4b2o$43bobo2bobo$43bob4o$40bo2bobo2bo bo$40bo3bo4b2o$39bo3bo$27b2o9b2o$27bobo8b2obo$29bo7b2o2b3o$27bobo7b3o bo$27b2o8b3obo$37b2o2b3o$38b2obo$38b2o$39bo3bo$40bo3bo4b2o$32b2o6bo2b obo2bobo$31b4o8bob4o$30bobo2bo7bobo2bobo$30b2o2bobo7bo4b2o$35bobo$37b 2o$36b3o$35bobo$35b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 GPS 27 HEIGHT 500 THEME Book STARTFROM 54 ]]
162P54, found by Mitchell Riley[1]
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RLE: here Plaintext: here
Catagoluehere
x = 60, y = 36, rule = B3/S23 12bo$12b3o$15bo$14b2o$6b2o$7bo$7bobo$8b3ob2o$10b2obo$5b2o3b2o28b2o$5b 2o4bobo26bobo$12b2o6b2ob2o17bo$6bo13bo3bo16b2ob2obo3b2o$5bobo13b3o20b ob2o3bobo$2o2bo2bo36bo7b3o$2obo6b2o31b2o8b2o$4b2o3b4o38bobo$8bo2bobo32b 2o2bobo$7bobo2b2o32bobo2bo$6bobo38b4o3b2o$5b2o8b2o31b2o6bob2o$5b3o7bo 36bo2bo2b2o$6bobo3b2obo20b3o13bobo$7b2o3bob2ob2o16bo3bo13bo$17bo17b2o b2o6b2o$17bobo26bobo4b2o$18b2o28b2o3b2o$46bob2o$46b2ob3o$50bobo$52bo$ 52b2o$44b2o$44bo$45b3o$47bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 GPS 27 HEIGHT 500 THEME Book STARTFROM 54 ]]
162P54, found by Matthias Merzenich based on a partial result by Mitchell Riley[2] and reduced by James Pascua[3]
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RLE: here Plaintext: here
Catagoluehere
x = 38, y = 35, rule = B3/S23 21bo$21b3o$24bo$23b2o2$17bo8b2o$17b3o5bobo5b4o$20bo4b2o5bo4bo$19b2o10b obo3bo$30bobo3bo$12b2o16bo$12b2o16bo$30bo2bo$21b3o7b2o$21bo$21b2obo$ 23b2o2$13b2o$13bob2o$16bo$5b2o7b3o$4bo2bo$7bo16b2o$7bo16b2o$bo3bobo$o 3bobo10b2o$o4bo5b2o4bo$b4o5bobo5b3o$10b2o8bo2$13b2o$13bo$14b3o$16bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 GPS 27 HEIGHT 500 THEME Book STARTFROM 72 ]]
p54, found by iNoMed based on a partial result by Carson Cheng. Also a century hassler
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RLE: here Plaintext: here
Catagoluehere
x = 34, y = 29, rule = B3/S23 17b2o$17bo$11b2ob2obo$9bo2bobobo$9b2o4bo13bo2bo$29bo$6b2o20bo4bo$7bo 19bobo2b2o$7bobo15b2obo$8b2o4bobo$14bobo$14b3o8bo2bo$27b2o4$5b2o$5bo2b o8b3o$17bobo$17bobo4b2o$5bob2o15bobo$2o2bobo19bo$o4bo20b2o$4bo$bo2bo 13bo4b2o$17bobobo2bo$16bob2ob2o$16bo$15b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 14 GPS 27 HEIGHT 500 THEME Book STARTFROM 54 ]]
p54, found by Carson Cheng on August 1, 2023, reduced by Entity Valkyrie the next day[4]
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RLE: here Plaintext: here
Catagoluehere
x = 36, y = 27, rule = B3/S23 10bo$5bo4b3o$5b3o5bo$8bo3b2o$7b2o2$15b2o7bo$13b2obo5b2o$13bo10b2o$13b 3o7bo$34b2o$34bo$32bobo$2b2o28b2o$bobo$bo$2o$12bo7b3o$10b2o10bo$12b2o 5bob2o$11bo7b2o2$27b2o$22b2o3bo$22bo5b3o$23b3o4bo$25bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 GPS 27 HEIGHT 500 THEME Book STARTFROM 66 ]]
p54 found by Mitchell Riley on August 4, 2023. Also a century hassler.
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RLE: here Plaintext: here
Catagoluehere
x = 41, y = 40, rule = B3/S23 5bo$4bobo4b2o$4bobo4b2o8b2o$2b3ob2o13bo$bo16b2obo$2b3ob2o9bo2bo$4bob2o 9bo$14b2o2bo$16bo2$o$3o$3bo34b2o$2b2o7b3o24bo$10bo3bo11bo12bo$9bo5bo9b obo10b2o$9bo5bo10bo10bo$9b3ob3o21b3o$40bo$39b2o$2o$o$b3o21b3ob3o$3bo10b o10bo5bo$b2o10bobo9bo5bo$bo12bo11bo3bo$2bo24b3o7b2o$b2o34bo$38b3o$40b o2$24bo$22bo2b2o$23bo9b2obo$20bo2bo9b2ob3o$19bob2o16bo$19bo13b2ob3o$18b 2o8b2o4bobo$28b2o4bobo$35bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 GPS 27 HEIGHT 500 THEME Book STARTFROM 54 ]]
p54 found by iNoMed on May 5, 2023 based on a partial by Mitchell Riley[5]
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RLE: here Plaintext: here
Catagoluehere

References

  1. Mitchell Riley (January 24, 2023). Message in #cgol on the Conwaylife Lounge Discord server
  2. Matthias Merzenich (March 9, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  3. James Pascua (March 9, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  4. Entity Valkyrie (August 2, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  5. iNoMed (March 6, 2024). Message in #cgol on the Conwaylife Lounge Discord server