Merzenich's p31 (or 48P31 ) is a period -31 oscillator found by Matthias Merzenich on November 5, 2010 , being the first oscillator of this period to be discovered.[1] In terms of its 48 cells , it is currentily the smallest known period-31 oscillator. It first appeared semi-naturally on May 11, 2015 .[2]
It gives duoplet and domino sparks, the first of which can reflect gliders by 90 degrees, while the second allows for the construction of non-trivial higher-period oscillators as seen in a later section .
A 72-glider synthesis was found by Mark Niemiec on August 11, 2013 ,[3] which was reduced to 24 gliders by Chris Cain in March 2016 .[4]
Gallery
x = 35, y = 32, rule = B3/S23
33bo$32bo$32b3o6$26bo$24b2o$25b2o9$7b2obo2bob2o$2o4bo2bo4bo2bo4b2o$2o
5bobo4bobo5b2o$8bo6bo6$8bo6bo$2o5bobo4bobo5b2o$2o4bo2bo4bo2bo4b2o$7b2o
bo2bob2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ GPS 15 THUMBSIZE 2 ZOOM 8 ]]
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48P31 reflecting gliders 90° (click above to open LifeViewer )RLE : here Plaintext : here
x = 55, y = 26, rule = B3/S23
2b2o7b2o$2b2o7b2o$42b2o7b2o$42b2o7b2o3$2bo9bo$2obo7bob2o$2ob2o5b2ob2o
27bo9bo$3b2o5b2o28b2obo7bob2o$bobo7bobo26b2ob2o5b2ob2o$2bo9bo12bo17b2o
5b2o$2bo9bo10b3o4bo10bobo7bobo$bobo7bobo10bo4b3o10bo9bo$3b2o5b2o17bo
12bo9bo$2ob2o5b2ob2o26bobo7bobo$2obo7bob2o28b2o5b2o$2bo9bo27b2ob2o5b2o
b2o$40b2obo7bob2o$42bo9bo3$2b2o7b2o$2b2o7b2o$42b2o7b2o$42b2o7b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ GPS 15 THUMBSIZE 2 ZOOM 8 ]]
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Two 48P31s hassling two R-pentominoes, found by David Raucci on April 3, 2021[5] (click above to open LifeViewer )RLE : here Plaintext : here Catagolue : here
x = 24, y = 30, rule = B3/S23
7b2obo2bob2o$2o4bo2bo4bo2bo4b2o$2o5bobo4bobo5b2o$8bo6bo6$8bo6bo$2o5bob
o4bobo5b2o$2o4bo2bo4bo2bo4b2o$7b2obo2bob2o8$11b3o$12bo2$11b3o$10bo3bo$
9bo5bo$9bobobobo$8b2obobob2o$7bo2b2ob2o2bo$7b2o7b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ GPS 15 THUMBSIZE 2 ZOOM 8 ]]
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p124 with T-nosed p4 (click above to open LifeViewer )RLE : here Plaintext : here Catagolue : here
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.
7b2obo2bob2o$2o4bo2bo4bo2bo4b2o$2o5bobo4bobo5b2o$8bo6bo6$8bo6bo$2o5bob
o4bobo5b2o$2o4bo2bo4bo2bo4b2o$7b2obo2bob2o7$12b3o$10bo$10bo4bo$11bo$
13b2o$14bo$14bo$14bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ GPS 31 LOOP 93 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]
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p93 with caterer (click above to open LifeViewer )RLE : here Plaintext : here Catagolue : here
10b2o$9bo2bo$8bobobo$8bo2bo$7bo$8bobo6$7b2obo2bob2o$2o4bo2bo4bo2bo4b2o
$2o5bobo4bobo5b2o$8bo6bo6$8bo6bo$2o5bobo4bobo5b2o$2o4bo2bo4bo2bo4b2o$
7b2obo2bob2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ GPS 31 LOOP 124 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]
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p124 with mold (click above to open LifeViewer )RLE : here Plaintext : here Catagolue : here
x = 24, y = 28, rule = B3/S23
8bo6bo$7b4o2b4o$2o4bo3bo2bo3bo4b2o$2o5bob2o2b2obo5b2o$8bo6bo6$8bo6bo$2o5bob2o
2b2obo5b2o$2o4bo3bo2bo3bo4b2o$7b4o2b4o$8bo6bo6$6b2o$6b2o2b2o$4b2obo2b2o$4b3o
3$5b2o$5b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ GPS 31 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]
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p186 with unix (click above to open LifeViewer )RLE : here Plaintext : here Catagolue : here
x = 24, y = 30, rule = B3/S23
8bo6bo$7b4o2b4o$2o4bo3bo2bo3bo4b2o$2o5bob2o2b2obo5b2o$8bo6bo6$8bo6bo$2o5bob2o
2b2obo5b2o$2o4bo3bo2bo3bo4b2o$7b4o2b4o$8bo6bo7$11b3o2$6b2ob2o$6b2obobo$12bo$
7bo4bo$7bo4bo$8bo2b2o$11b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ GPS 31 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]
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p496 with Rob's p16 (click above to open LifeViewer )RLE : here Plaintext : here Catagolue : here
See also
References
External links