Long bun

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Long bun
Long bun image
Pattern type Miscellaneous
Number of cells 7
Bounding box 5 × 3
Static symmetry Unspecified
Discovered by Unknown
Year of discovery Unknown

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! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 ]]
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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! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 10 THUMBSIZE 2 ]]
The current smallest period-20 glider gun, by Martin Grant
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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$21bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 15 THUMBSIZE 2 ]]
p30 long bun hassler, found by Mitchell Riley on July 7, 2022 using symmetric CatForce
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x = 30, y = 24, rule = B3/S23 bo4b2o$obo2bobo$bo4bo5$12b2o$8b2obo2bo$7bobo5b5o$7bo3bo5bo2bo$7bo3b2o 8bo$8bo8b2o3bo$9bo2bo5bo3bo$10b5o5bobo$15bo2bob2o$16b2o5$23bo4bo$22bob o2bobo$22b2o4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 15 THUMBSIZE 2 ]]
Jason's p33. There are multiple ways to stabilize it; the one shown is the smallest known non-periodic one by far.
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RLE: here Plaintext: here
x = 29, y = 28, rule = B3/S23 2b2o$3bo20bo$3bobo11b2o3b3o$4b2o11b2o2bo$2o19b2o$bo$bobo$2b2o5b3o$9b3o 7b2o$8bo3bo5bo2bo2b2o$9bo2bo6b2o3b2o$9bo2bo5$16bo2bo$3b2o3b2o6bo2bo$3b 2o2bo2bo5bo3bo$8b2o7b3o$17b3o5b2o$25bobo$27bo$6b2o19b2o$7bo2b2o11b2o$ 4b3o3b2o11bobo$4bo20bo$25b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 15 THUMBSIZE 2 ]]
p46, Mitchell Riley 4/12/23
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x = 21, y = 29, rule = B3/S23 o7bo4bo4b2o$3o3b2o5bobo2b2o$3bo4b2o2bobo$2b2o3bo6bo$19b2o$17bob2o$17bo$17bo$10b3o4bo2bo$9bo3bo4b2o$8bo5bo$8bo5bo$8bo5bo$9bo3bo2b2o$b3o6b3o 3bobo$2b2o14bo$bo11bo4b2o$13bo$12b3o3$13b2o$10b2ob3o$9bobo$9bo4b4o$10bo$11bo$8b3o$8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 24 THUMBSIZE 2 ]]
p48
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RLE: here Plaintext: here
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! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 34 THUMBSIZE 2 ]]
p68, Luke Kiernan 9/27/22, reduced by Mitchell Riley 11/3/22
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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! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 36 THUMBSIZE 2 ]]
p72, Luke Kiernan 8/8/22
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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! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 60 THUMBSIZE 2 ]]
p148, Mitchell Riley 3/5/23
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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! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 34 THUMBSIZE 2 ]]
p324, Nico Brown 9/30/22
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Image gallery, non-oscillators

x = 11, y = 5, rule = B3/S23 9b2o$9b2o$2b2o$2ob2o$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 12 THUMBSIZE 2 ]]
When a long bun hits a block in a specific position, it forms a MWSS. However, this destroys the block.
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x = 5, y = 5, rule = B3/S23 3b2o$4bo$4bo$3bo$3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 12 THUMBSIZE 2 ]]
The region shown here that creates an anvil when it hits a boat-bit object (e.g. beacon, snake), by itself, becomes a long bun plus a loaf.
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See also