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 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! #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. 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 only known non-periodic one.
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RLE: here Plaintext: here

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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See also