A small period-68 century hassler was found by Nico Brown on April 21, 2023 .^{[1]} With only 38 cells, it is the smallest known period-68 oscillator by population; the former record was 71P68 .
It emits V sparks and domino sparks . One example of its use as a V sparker, functionally a dot, is for a completion of this p68 B-heptomino hassler, where the partial was found by Noam Elkies in 1996 and appears in jslife . This oscillator was previously completed with a larger p68 long bun hassler as a sparker.
x = 64, y = 32, rule = B3/S23
22bo18bo$20b3o18b3o$19bo24bo$19b2o22b2o$2o42b2o16b2o$bo43b2o15bo$bobo
7bo32b2ob2o11bobo$2b2o5bob2o31b3obobo9b2o$9bobo31b2obo5bo$10bobo31bob
4o3bo$11b3o12b2o8b2o7b2obo4bo$26b2o8b2o12bo2bo$3b2o7b2o37b2o6b2o$4bo5b
3o30b2o2b2o10bo$b3o6bo5b2o18b2o5bo4bo11b3o$bo14b2o17bo2bo5bo17bo$35bo
2bo5bo2bo$34b2ob2o$35b2o$10bo2bo36bo2bo$10b4o36b4o2$12b2o36b2o$12b2o4b
2o8b2ob2ob2o2b4o2b2o4b2o$18bo10bob2obo2b6o2bo$19b10o6b10o$16b3o2b6o2b
6o10b3o$16bo2bo2b4o2bo6bo8bo2bo$17b2o10b6o10b2o2$31b2o$31b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBSIZE 2 ZOOM 8 HEIGHT 400 GPS 20 THEME Book AUTOSTART ]]
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The B-heptomino hassler mentioned above(click above to open LifeViewer )
A 16-glider synthesis of the p68 century hassler was found on April 27, 2023.^{[2]} On July 2, 2023, a 15-glider synthesis was found along with a 14-glider synthesis for the "block in other location" form of the oscillator,^{[3]} ^{[4]} ^{[5]} ^{[6]} followed quickly by a 14-glider synthesis for the original form.^{[7]} ^{[8]}
LCM oscillators
The LCM oscillators below are listed due to being the smallest known ones by population, while also satisfying the condition that at least one cell oscillates at the full period.
x = 31, y = 24, rule = B3/S23
10b2o$10b2o2$10b4o$10bo2bo3$25b2o$bo23b2obo$b3o12bo12bo$4bo12bo8bo$3b
2o9bo2bo9bob2o$14b3o12b2o4$2b2o$bobo$bo$2o$19b2o$19bo$20b3o$22bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 14 GPS 24 ]]
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p136 with figure eight (click above to open LifeViewer ) RLE : here Plaintext : here Catagolue : here
x = 32, y = 24, rule = B3/S23
10b2o$10b2o2$10b4o$10bo2bo4$bo$b3o12bo$4bo12bo$3b2o9bo2bo7b2o$14b3o10b
o$24bo$24bo3bo$24bo3b4o$2b2o22bo$bobo$bo$2o$19b2o$19bo$20b3o$22bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 14 GPS 24 ]]
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p204 with caterer (click above to open LifeViewer ) RLE : here Plaintext : here Catagolue : here
x = 32, y = 24, rule = B3/S23
10b2o$10b2o2$10b4o$10bo2bo4$bo22b3o$b3o11bo$4bo8bo2b2o9b2ob2o$3b2o9b3o
9bobob2o$15bo9bo$25bo4bo$25bo4bo$25b2o2bo$2b2o21b2o$bobo$bo$2o$19b2o$
19bo$20b3o$22bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 14 GPS 24 ]]
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p272 with Rob's p16 (click above to open LifeViewer ) RLE : here Plaintext : here Catagolue : here
x = 31, y = 24, rule = B3/S23
10b2o$10b2o2$10b4o$10bo2bo4$bo$b3o12bo$4bo12bo$3b2o9bo2bo$14b3o9b2o$
25bo2bo$24bo4bo$23bo6bo$2b2o19bo6bo$bobo20bo4bo$bo23bo2bo$2o24b2o$19b
2o$19bo$20b3o$22bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 14 GPS 24 ]]
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p340 with octagon II (click above to open LifeViewer ) RLE : here Plaintext : here Catagolue : here
x = 23, y = 36, rule = B3/S23
10b2o$10b2o2$10b4o$10bo2bo4$bo$b3o12bo$4bo12bo$3b2o9bo2bo$14b3o4$2b2o$bobo$bo$2o$19b2o$19bo$13b2o5b3o$8b2o2bo9bo$8b2o2bo$12b2o$15bo$11bobobo$10b2o3bo$9bo3b2o$9bobobo$9bo$11b2o$12bo2b2o$12bo2b2o$10b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBSIZE 2 HEIGHT 500 ZOOM 14 GPS 24 ]]
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p476 with 34P7 (click above to open LifeViewer ) Catagolue : here
References
External links