Period-56 R-pentomino hasslers

Main article: R-pentomino hasslers

All known period-56 R-pentomino hasslers.

x = 41, y = 33, rule = B3/S23 16b2o14bo$15bo2bo$15bobo2bo9b3obo$16bo12bob2o$17b2obo8b2obo$19bo7bob3o 2$29bo3$6b2o$5bobo$b2o2bo7bo22b2o$bobob2o6b2o22bo$3bo8bo2bo21bob2o$3b 4o6b2o20b3o2bo$b2o3bo27bo3b2o$o2b3o20b2o6b4o$2obo21bo2bo8bo$3bo22b2o6b 2obobo$3b2o22bo7bo2b2o$33bobo$33b2o3$11bo2$9b3obo7bo$8bob2o8bob2o$8b2obo12bo$6bob3o9bo2bobo$22bo2bo$8bo14b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 GPS 28 HEIGHT 500 ]]

found by iNoMed on October 6, 2023 (click above to open LifeViewer) Catagolue: here

x = 41, y = 32, rule = B3/S23 16b3o$16b3o6b2o$2o13bo3bo4bobo$bo10bo3b2o2bo3b2o$bobo7bob2obo3b2o6b2o$ 2b2o6b2o3bob2obo7bobo$6b2o3bo2b2o3bo10bo$5bobo4bo3bo13b2o$5b2o6b3o$13b 3o10bo3b2o5b2o$24b3o3b2o5b2o$23bo$23b2o5bo7bo$29bobo5bobo$28b2ob2o3b2o b2o$16bo12bo2bo3bo2bo$14b2ob2o11bo7bo$15bo2bo11b3o3b3o$16b2o4$30b2o5b 2o$30b2o5b2o3$20b3o$20b3o$21bo$21bo$20b3o$20b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 GPS 28 HEIGHT 500 ]]

p56 phi sparker (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 42, y = 29, rule = B3/S23 3b2o$7bo22b2o$2b2o2bobo25bo$bo2b3obobo18b2o2bobo$2b6o2bo17bo2b3obobo$ 3b2ob2o21b6o2bo$o2b6o21b2ob2o$obob3o2bo17bo2b6o$2bobo2b2o18bobob3o2bo$ 3bo25bobo2b2o$6b2o22bo$17bo15b2o$16b2o$17b2o2$23b2o$24b2o$7b2o15bo$11b o22b2o$6b2o2bobo25bo$5bo2b3obobo18b2o2bobo$6b6o2bo17bo2b3obobo$7b2ob2o 21b6o2bo$4bo2b6o21b2ob2o$4bobob3o2bo17bo2b6o$6bobo2b2o18bobob3o2bo$7bo 25bobo2b2o$10b2o22bo$37b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 GPS 28 HEIGHT 500 ]]

p56, found by Period1GliderGun on December 13, 2024 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 63, y = 60, rule = B3/S23 33bo$32b2o$30b2ob2o$32bo$27b2o3b2o7b2o$16b2o12bob2o6bobo$17bo12b2o8b3o $17bobo8b2o4b2o8b2o$18b2o8b2o4b2o8bobo$21b3o8b2o12bo$21bobo6b2obo12b2o $21b2o7b2o3b2o$31bo10bo3b2o5b2o$29b2ob2o6b3o3b2o5b2o$30b2o7bo$30bo8b2o 2$21bo$20b3o11b3o10b2o3b2o$12b2o4b2o3bob2o9bo9b2o5b2o$12b2o4bo2b2o2b2o 9bo8bo2bo3bo2bo$18bob2o10bob2o9bobo5bobo$31b2o12b3o5b3o3$18bob2o24b2o 5b2o$10bob2o4bo2b2o2b2o19b2o5b2o$8b3ob2o4b2o3bob2o$7bo12b3o34bo$7b2o12b o33b3o$5b3o46bo$4bobo5b2o31b2o7b2o$4bo2bo5bo31bo6b3o$5b2o6bobo6bo20bo bo5bobo$14b2o6bo20b2o6bo2bo$18b3o31b2o$19b4o$21b3o$7b2o16bo$2b2o2b2o2b o6bo3b3obo$o4b2o2b2o5b2o3bo32b2o$o5bo2bo3b2o3bo16bo13b2o2b2o2bo$b2o3b o2bo5bo9bo9b2o10bo4b2o2b2o$5b2o2b2o4bo9bo9b2o10bo5bo2bo3b2o$5bo2b2o2b 2o26b2o6b2o3bo2bo5bo$7b2o31bobo9b2o2b2o4bo$39bo2bo9bo2b2o2b2o$40b2o12b 2o$40bo2$9b2o$8bo2bo$9bobo44b2o$8b3o44bo2bo$7b2o47bobo$8bo46b3o$5b3o46b 2o$5bo49bo$52b3o$52bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 6 GPS 28 HEIGHT 500 ]]

p56, found by Caleb R. Hilton and reduced by Period1GliderGun on December 23, 2024. Also a century hassler. (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 46, y = 39, rule = B3/S23 28b2o$28b2obo$bo2bo2bo24bo$b7o2bo6b2o10bo$8b3o7bo11bob2obo2b2o$3b4o11b obo11b2obo2bo2bo$2bobob3o10b2o$2bobo4bo28bo2bo$b2obob3obo26bo2bo$2bo5b obo18b2o6bobo$2bob4o2b2o19bo6bo$obo2bobobo$2ob2o2bobo19bo8b2o$3bobobob 2o19bobo5b2o$3bob2obo10bo10bobo$2ob2obobo9b2o13bo4b2o$obo3bob2o7bo2bo 12bo3bobo$3b3o5bo5bobo17bo$7b3obo6b2o16b2obo2bo$3b4o4bo22bo4b4o$3bo2bo b2o16b2o6bob3o$8bo17bobo5bo5b3o$6bobo3bo12bo2bo7b2obo3bobo$6b2o4bo13b 2o9bobob2ob2o$13bobo10bo10bob2obo$6b2o5bobo19b2obobobo$6b2o8bo19bobo2b 2ob2o$36bobobo2bobo$7bo6bo19b2o2b4obo$6bobo6b2o18bobo5bo$5bo2bo26bob3o bob2o$4bo2bo28bo4bobo$25b2o10b3obobo$4bo2bo2bob2o11bobo11b4o$6b2o2bob 2obo11bo7b3o$16bo10b2o6bo2b7o$13bo24bo2bo2bo$14bob2o$16b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 GPS 28 HEIGHT 500 ]]

p56, found by Period1GliderGun on April 2, 2025 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 55, y = 41, rule = B3/S23 27b2o$26bobo$25bo2bob2obo$23b3obobobob3o$22bo4bo3bo4bo$22b5obobob5o$ 23bo2bobobobo2bo$14bo8bobo7bobo$14b3o10b2ob2o$17bo5b2o4bo4b2o$16b2o7b 2o5b2o2$2b2o5bo9bo9bo$o2bo4bo9b2o$9bo2b2o3b2o$6b2obobo2bo4bo$o4b2o2b2o 4bo3bo5b2o$bo2bobob2o16b2o$2b2o2bo18b2o$7bo4bo2bo7b3o5bo$6bo5b2o9bo7bo 9b2o5bo$23bo5b3o7bo2bo4bo$28b2o18bo2b2o$27b2o16b2obobo2bo$28b2o5bo3bo 4b2o2b2o4bo$35bo4bo2bobob2o$36b2o3b2o2bo$35b2o9bo4bo2bo$25bo9bo9bo5b2o 2$21b2o5b2o7b2o$19b2o4bo4b2o5bo$23b2ob2o10b3o$19bobo7bobo8bo$19bo2bobo bobo2bo$18b5obobob5o$18bo4bo3bo4bo$19b3obobobob3o$21bob2obo2bo$26bobo$ 26b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 GPS 28 HEIGHT 500 ]]

p56, found by Period1GliderGun on April 2, 2025. The R-pentomino forms later than most sequences. (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here