The long bun is a somewhat common evolutionary sequence. While it had appeared in some tables of common sequences, it wasn't recognized as its own distinct object until 2022.
Commonness
According to Simon Ekström 's list of common evolutionary sequences , the long bun by itself is the 12th most common qualifying sequence, making its frequency similar to the I-heptomino , two-glider octomino , and procrastinator .
Predecessors and naming
The smallest predecessor of the long bun requires 7 cells; two examples are the infobox image and one of the two patterns below. The name "long bun" comes from David Raucci as the other predecessor below. Predecessors typically converge in the generation that is generation 2 of the left object and generation 3 of the right object.
x = 14, y = 3, rule = B3/S23
b3o7b2o$o3bo4b2ob2o$4o7bo!
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Use in conduits
As a new sequence, the long bun has been analysed almost none at all in conduits. As it only lasts for slightly over 50 generations, and it doesn't move forward in a single direction, it isn't as useful as many other sequences.
Use in oscillators
x = 44, y = 27, rule = B3/S23
6b2o6b2o$5bo2bo5b2o$o2bo2bobo25b2o$5obob2o24b2o$6bo3bo7bo4b2o$2b2obo4b
o6b10o5b4o$bo3b2o3bo5b2ob3o10bo3bo3bobo$bobobo4bo6b4o4bob2o5b2obobob2o
$2bo3bo3bo7bo3bob2o2bo4bo3bobo$3b2obob2o18bo3b2o3bobob2o$4bobobo13b2o
3bo4bo4bobob2o$3bo2bobo5b2o10bo7b2o3bo$3b2o2bo6b2o6bo2bo10bobo$22bo11b
3obobo$29bo3bo3b2ob3o$4bob2ob2o5b3obob2o6bo3b2o3bo3bo$4b2obobo8b3o7b3o
5b2obo2b2o$9bo2b2o4bo4bo12bobo$8bo3b4o2bo4b2o$5b2o3bo4b2o2b2o3b2o8bo$
4bo3bob2o3b2o3bo3bo10bo$4bobobo6bo4b2o3b3o5b3o$3b2obob2o3bo2bo3b2o5bo$
2bo2b2obo2bo2bob3o3b2o$3bo5b2obobo4b2obo16bo$4b4obo2bo2b3o2bobo17bo$6b
obo2b2o4b2o2bo16b3o!
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The current smallest period-20 glider gun , by Martin Grant(click above to open LifeViewer ) RLE : here Plaintext : here
x = 28, y = 30, rule = B3/S23
6bo$6b3o$9bo$8b2o2$23bo$21b3o$20bo$20b2o2$9b2o$8bobo$8bo2bo14b2o$8bobo
15bo$2b2o5bo14bobo$bobo14bo5b2o$bo15bobo$2o14bo2bo$17bobo$17b2o2$6b2o$
7bo$4b3o$4bo2$18b2o$18bo$19b3o$21bo!
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p30 long bun hassler, found by Mitchell Riley on July 7, 2022 using symmetric CatForce(click above to open LifeViewer )
x = 30, y = 24, rule = B3/S23
bo4b2o$obo2bobo$bo4bo5$12b2o$8b2obo2bo$7bobo5b5o$7bo3bo5bo2bo$7bo3b2o
8bo$8bo8b2o3bo$9bo2bo5bo3bo$10b5o5bobo$15bo2bob2o$16b2o5$23bo4bo$22bob
o2bobo$22b2o4bo!
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Jason's p33 . Without the boat and tub stabilisation, the long bun sequences would still reform, but with a lot of junk, similarly to the p44 pi-heptomino hassler . There are multiple ways to stabilise it; the one shown is the smallest known non-periodic one by far.(click above to open LifeViewer ) RLE : here Plaintext : here
x = 22, y = 25, rule = B3/S23
o7bo4bo4b2o$3o3b2o5bobo2bo2bo$3bo4b2o2bobo$2b2o3bo6bo3bo2bo$17bo2bo$
17bobo$18bo2$4b3o11b2o$4b3o11b2o$3bo3bo$3bo2bo$3bo2bo$16b2o$16bobo$18b
o$18b2o$13b2o$11b2o2bo$9b2o4bo$9b2obo3b2o$14bobo2bo$8bob5o3b2o$8b2obo
3bo$14b2o!
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p48(click above to open LifeViewer )
x = 31, y = 30, rule = B3/S23
21b2o$21bo3b2o$19bobo3bo$19b2o5bo$23b4o$23bo$15b3o8b3o$15b3o8bo2bo$14b
o3bo9b2o$15bo2bo$15bo2bo$3b2o24bo$3b2o22bobo$28bobo$28bo$2bo$obo$bobo
22b2o$bo24b2o$12bo2bo$12bo2bo$b2o9bo3bo$bo2bo8b3o$2b3o8b3o$7bo$4b4o$4b
o5b2o$5bo3bobo$4b2o3bo$8b2o!
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#C [[ GPS 34 THUMBSIZE 2 ]]
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p68, Luke Kiernan 9/27/22, reduced by Mitchell Riley 11/3/22(click above to open LifeViewer )
x = 51, y = 51, rule = B3/S23
29bo2bo$24b2o3b6o$25bo9bo$25bob7obo$22b2obobo2bo2bobob2o$23b2obo7bob2o
$21bo3bo9bo3bo$21b4ob3o3b3ob4o$27b2obob2o$23b2o2b7o2b2o$23b2o4b3o4b2o$
6b2o$4bo2bo$4b2obob2o$5bobob2o$2b3obo$bo3bobo$bob2o2b3o$2obo3b3o18bo$b
obo5b2o16bobo$bob2o3b3o9bo6bo2bo$2obo5b2o8bob2o4bobo13b2o$3bo3b3o8bo3b
o5b2o13bo2bo$3b2o2b3o9b3o18b2obob2o$5bobo32b2obobo3bo$b4obo37bob4o$bo
3bobob2o32bobo$4b2obob2o18b3o9b3o2b2o$4bo2bo13b2o5bo3bo8b3o3bo$6b2o13b
obo4b2obo8b2o5bob2o$20bo2bo6bo9b3o3b2obo$21bobo16b2o5bobo$22bo18b3o3bo
b2o$41b3o2b2obo$43bobo3bo$44bob3o$40b2obobo$40b2obob2o$43bo2bo$43b2o$
13b2o4b3o4b2o$13b2o2b7o2b2o$17b2obob2o$11b4ob3o3b3ob4o$11bo3bo9bo3bo$
13b2obo7bob2o$12b2obobo2bo2bobob2o$15bob7obo$15bo9bo$16b6o3b2o$18bo2bo!
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p72, Luke Kiernan 8/8/22(click above to open LifeViewer )
x = 50, y = 41, rule = B3/S23
21bo$19b3o$18bo$18b2o16bo$35bobo$35bobo$27bo6b2ob3o$27b3o10bo$30bo3b2o
b3o$29b2o3b2obo2$14bo$3bo8bobo$b3o8bo$o$2o2$31bo$18b3o8b3o$18bo2bo6bo
2bo$22bo4bo$18bo2bo6bo2bo$18b3o8b3o$18bo2$48b2o$49bo$37bo8b3o$35bobo8b
o$35bo2$12bob2o3b2o$10b3ob2o3bo$9bo10b3o$10b3ob2o6bo$12bobo$12bobo$13b
o16b2o$31bo$28b3o$28bo!
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#C [[ GPS 60 THUMBSIZE 2 ]]
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p148, Mitchell Riley 3/5/23(click above to open LifeViewer )
x = 49, y = 49, rule = B3/S23
20bo$20b3o$23bo$22b2o4$27b2o$16b2o$17bo11bo3b2o$17bobo13b2o$18b2o3$9b
2o18b2o$9b2o18b2o$27bobo10bo$28bo9b3o$37bo$37b2o$30b2o15b2o$30b2o15bo$
45bobo$45b2o2$2b2o$bobo$bo40b2o$2o40b2o$10b2o$11bo$8b3o$8bo$21b3o14b2o
$24b2o12b2o$24b2o$21b2ob2o$23bo5b2o$14b2o13bobo$14b2o15bo$31b2o5$25b2o
$25bo$26b3o$28bo!
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#C [[ GPS 34 THUMBSIZE 2 ]]
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p324, Nico Brown 9/30/22(click above to open LifeViewer )
Image gallery, non-oscillators
x = 11, y = 5, rule = B3/S23
9b2o$9b2o$2b2o$2ob2o$2bo!
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#C [[ GPS 12 THUMBSIZE 2 ]]
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When a long bun hits a block in a specific position, it forms a MWSS . However, this destroys the block.(click above to open LifeViewer )
See also