56P27 is an unnamed period -27 oscillator discovered by Nicolay Beluchenko on May 11, 2010 .[1] In terms of its 56 cells , it is currently the smallest known period 27 oscillator. It gives dot sparks, allowing for the construction of non-trivial higher-period oscillators as seen in the following section .
It first appeared semi-naturally in October 2017 , in a symmetric soup submitted to Catagolue by Apple Bottom .[2]
A 52-glider synthesis for this oscillator was found by Martin Grant in 2013,[3] which was reduced to 20 gliders by 2718281828 in November 2017 .[4]
On January 29, 2022, David Raucci used 56P27 with a block removed to create the period-27 glider gun .
The 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 = 34, y = 30, rule = B3/S23
19b2o$19b2o$2b2o$2bobo$6b2o9bo$3bo2bo8bob2o$6b2o6bo2bo$bobobo2bo8bo$3b
2o2b2o5b3o$ob2o$bo23bobo$25bo2bo$25bo$4b2o20b4o$4b2o22bo$9bo22b2o$8b4o
20b2o$12bo$9bo2bo$10bobo2$21b3o$20bo$20bo2bo$19b2obo$20bo3$17b2o$17b2o
!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ GPS 54 THUMBSIZE 2 LOOP 108 ZOOM 12 HEIGHT 450 ]]
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p108 with 22P4.3 (click above to open LifeViewer )RLE : here Plaintext : here Catagolue : here
x = 35, y = 30, rule = B3/S23
15b2o$15b2o5$13b3o$13bobo$15bo$9b2o9bo$10b2o7b2o$19bo2$2o20b2o$2o4b3o
14bo$6bo14b3o4b2o$6b2o20b2o2$10bo$9b2o7b2o$9bo9b2o$14bo$14bobo$14b3o
10bo4bo$25b2ob4ob2o$27bo4bo3$13b2o$13b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ GPS 54 THUMBSIZE 2 LOOP 135 ZOOM 12 HEIGHT 450 ]]
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p135 with pentadecathlon (click above to open LifeViewer )RLE : here Plaintext : here Catagolue : here
x = 42, y = 36, rule = B3/S23
15b2o$15bobo$16b3o$17b2o$13bo2b2o$13b4o$14bo$10bo$9b2o8bo$12bo4bobobo$
8b2ob2o4bo3b2o$2b2o8bo4bobo$b4o4b3o6b3o$obob2o18b2o$2o3bo17b2o$5b2o17b
o3b2o$4b2o18b2obobo$9b3o6b3o4b4o$10bobo4bo8b2o3b2o$7b2o3bo4b2ob2o8bo2b
o$8bobobo4bo10bo$10bo8b2o6bo$19bo6bo5bo$15bo11b2o5b2o$13b4o15b3obo$12b
2o2bo16b2obo$11b2o22bo$11b3o18bo$12bobo16bob2o$13b2o16bob3o$32b2o5b2o$
35bo5bo$40bo$39bo$34bo2bo$35b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ GPS 54 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]
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p189 with 32P21 (click above to open LifeViewer )RLE : here Plaintext : here Catagolue : here
x = 30, y = 37, rule = B3/S23
26b2o2$25bo3bo$24bo4bo$23bobobo$22bobobo$20bo4bo$15b2o3bo3bo$15bo2bo$
22b2o2$13bo4bo$13bo2b2o$13b2o$9b2o$9b3o6bobo$8bo3bo8b2o$11b3o2b2o3b2o$
bo2bo3bo3bo4bobobo$5bo4b2o6b3o$o4bo4bo8bo3b3o$2o21bo$6bo21b2o$4b3o3bo
8bo4bo4bo$9b3o6b2o4bo$8bobobo4bo3bo3bo2bo$7b2o3b2o2b3o$7b2o8bo3bo$9bob
o6b3o$19b2o$15b2o$12b2o2bo$11bo4bo3$11bo2bo$13b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ GPS 54 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]
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p216 with figure eight (click above to open LifeViewer )RLE : here Plaintext : here Catagolue : here
x = 30, y = 40, rule = B3/S23
16b2o4b2o$16bo5b2o$17bo$16b2o2b4o$14bo2bobo4bo$14b2o3bob4o$18bo2bo3b2o
$18bo2bob2o2bo$22bobob2o$20bobobo$15b2o3bo3bo$15bo2bo3b2o3$13bo4bo$13b
o2b2o$13b2o$9b2o$9b3o6bobo$8bo3bo8b2o$11b3o2b2o3b2o$bo2bo3bo3bo4bobobo
$5bo4b2o6b3o$o4bo4bo8bo3b3o$2o21bo$6bo21b2o$4b3o3bo8bo4bo4bo$9b3o6b2o
4bo$8bobobo4bo3bo3bo2bo$7b2o3b2o2b3o$7b2o8bo3bo$9bobo6b3o$19b2o$15b2o$
12b2o2bo$11bo4bo3$11bo2bo$13b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ GPS 54 THUMBSIZE 2 ZOOM 11 HEIGHT 450 ]]
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p297 with p11 domino sparker (click above to open LifeViewer )RLE : here Plaintext : here Catagolue : here
See also
References
External links