Merzenich's p31

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Merzenich's p31
x = 24, y = 13, rule = B3/S23 7b2obo2bob2o$2o4bo2bo4bo2bo4b2o$2o5bobo4bobo5b2o$8bo6bo6$8bo6bo$2o5bob o4bobo5b2o$2o4bo2bo4bo2bo4b2o$7b2obo2bob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 6 ZOOM 13 LOOP 31 ]]
Pattern type Oscillator
Number of cells 48
Bounding box 24 × 21
Period 31
Mod 31
Heat 59.6
Volatility 0.98
Strict volatility 0.98
Discovered by Matthias Merzenich
Year of discovery 2010

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.

Approximately 1 in 4.2 billion D4_+2 soups form a Merzenich's p31.

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 ]]
48P31 reflecting gliders 90°
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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 ]]
Two 48P31s hassling two R-pentominoes,
found by David Raucci on April 3, 2021[5]
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere

LCM oscillators

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 ]]
p93 with caterer
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RLE: here Plaintext: here
Catagoluehere
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 ]]
p124 with mold
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RLE: here Plaintext: here
Catagoluehere
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 ]]
p186 with unix
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RLE: here Plaintext: here
Catagoluehere
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 ]]
p496 with Rob's p16
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere

See also

References

  1. Matthias Merzenich (November 5, 2010). Re: Pattern of the Year 2010 competition (discussion thread) at the ConwayLife.com forums
  2. gameoflifeboy (May 11, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  3. Mark Niemiec (August 13, 2013). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  4. Chris Cain (March 27, 2016). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  5. David Raucci (April 3, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums

External links