Eater 1 reaction

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Revision as of 12:38, 2 May 2024 by HotdogPi (talk | contribs) (Created page with "'''Eater 1''' is a reaction that eats various patterns with a 2-cell or 3-cell leading edge (or occasionally more), most notably gliders. The term was originally used for the fishhook, and the fishhook is often still called "eater 1", but the term "eater 1" is more general and refers to the reaction. {{EmbedViewer |rle = x = 29, y = 8, rule = LifeHistory 2.A8.2A7.A.A$A.C8.AC9.C$.AC8.AC7.2AC$4.2A8.2A8.2A$4.A.A7.A.A7.A.A$6.A 9.A9.A$6.2A8.A.2A6.A.A$15.2A.2A7.2...")
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Eater 1 is a reaction that eats various patterns with a 2-cell or 3-cell leading edge (or occasionally more), most notably gliders. The term was originally used for the fishhook, and the fishhook is often still called "eater 1", but the term "eater 1" is more general and refers to the reaction.

x = 29, y = 8, rule = LifeHistory 2.A8.2A7.A.A$A.C8.AC9.C$.AC8.AC7.2AC$4.2A8.2A8.2A$4.A.A7.A.A7.A.A$6.A 9.A9.A$6.2A8.A.2A6.A.A$15.2A.2A7.2A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 WIDTH 600 HEIGHT 500 ]]
Three eater 1 catalyses using different still lifes, which are all equivalent.
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In most cases, an eater 2 performs the same function as an eater 1, but there are a decent number of catalyses that only work with an eater 2, and a few that only work with an eater 1, such as eating a blinker:

x = 23, y = 10, rule = B3/S23 o13bo$o13bo$o13bo$2b2o12b2obo$2bobo11b2ob3o$4bo17bo$4b2o10b2ob3o$17bob o$17bobo$18bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 WIDTH 600 HEIGHT 500 ]]
Eating a blinker works with an eater 1 but not an eater 2.
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For an eater 1 to work, it is essential that the cells marked in yellow and red below are off.

x = 26, y = 12, rule = LifeHistory 2.2A16.2A$A2.A13.A3.A$3A14.4A2$3A14.4A$E2.A13.AD2.A$2.2A16.2A3$5.3A 15.3A$5.A17.A$6.A17.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 WIDTH 600 HEIGHT 500 ]]
The yellow cell is on, so it fails. The red cell is off, so it succeeds.
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Unusual uses of eater 1

x = 30, y = 30, rule = B3/S23 12b2o9b2o$11bo2bo7bo2bo$11b3o9b3o$14b9o$b2o10bo2b5o2bo$obo10b2o2b3o2b 2o$obob2o$bobobo$3bo$3b2o5b3o$3b3o3bo3bo$3b3o2bo5bo12b2o$3b3o2bo5bo12b obo$3b2o3bo5bo9b2obobo$3bo5bo3bo3b3o4bobobo$bobobo4b3o3bo3bo5bo$obob2o 9bo5bo3b2o$obo12bo5bo2b3o$b2o12bo5bo2b3o$16bo3bo3b3o$17b3o5b2o$26bo$ 24bobobo$24b2obobo$6b2o2b3o2b2o10bobo$6bo2b5o2bo10b2o$7b9o$4b3o9b3o$4b o2bo7bo2bo$5b2o9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 8 WIDTH 500 HEIGHT 400 ]]
The heavyweight emulators act as eater 1s in this p32 honey farm hassler.
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RLE: here Plaintext: here
x = 47, y = 18, rule = B3/S23 4b2o6b2o$3bobo6bobo$3bo10bo$2obo10bob2o$2obo2bob2obo2bob2o20b2o$3bobob o2bobobo21b6o$3bobobo2bobobo20b8o$2obo2bob2obo2bob2o$2obo10bob2o26b2o$ 3bo10bo29bo$3bobo6bobo27bobo$4b2o6b2o28b2o2$8b3o27b3o$10b5o25b5o$8bo3b o2bo22bo3bo2bo$6b3o7bo19b3o7bo$5bo29bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 WIDTH 500 HEIGHT 400 ]]
As shown in the 101 page, it has a contrived catalysis. Replacing the oscillator with a fishhook and placing a domino in generation 3 reveals that it functions identically.
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Frequency

According to Catagolue, as of May 2, 2024, the vast majority of 22P36 eater 1s, about 87%, are fishhooks. There are about 1/10 as many integrals as fishhooks, and 1/100 as many trans-block on docks, cis-block on docks, [[moose antlers], and fourteeners, with others being even rarer.

The ratio is slightly different for asymmetric pentadecathlon oscillators. The fishhook:integral ratio is only 4.6:1. Next is pentadecathlon on cis-boat up on dock, but that is not "natural" frequency as it forms from a forming pentadecathlon hitting a beehive and block rather than the cis-boat up on dock having to form by itself. Other eater 1s have a small sample size, but elevener and block on dock (trans relative to the pentadecathlon) both imply a 70:1 ratio to the fishhook, more common than the 22P36 data.


See also