OCA:HighLife/Replicator

Main article: OCA:HighLife

Highlife replicator
x = 5, y = 5, rule = B36/S23 2b3o$bo2bo$o3bo$o2bo$3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
View static image
Pattern type	Sawtooth
Expansion factor	2
Discovered by	Unknown
Year of discovery	Unknown
Rules Outer-totalistic rules B36/S23 – B368/S238 # of rules 22 = 4
Pattern files RLE replicator.rle

The HighLife Replicator^{[citation needed]} is by far the most well-known replicator in any Life-like cellular automaton. It repeatedly copies itself along a diagonal line according to Rule 90. It copies itself the first time after 12 generations, then produces another two copies after another 24 generations, followed by another four copies after another 48 generations, and so on. In general there are 2ⁿ copies of the replicator at generation 12(2ⁿ - 1) and their centers are evenly spaced 4 cells apart. The two ends of the replicator line expand at a speed of c/6.

Because of the way the replicator duplicates itself, it can be considered a sawtooth with expansion factor 2 and a minimum repeating population of 22. Because the replicator is so small, it often occurs naturally from soup (the Life equivalent is butterfly). This contrasts with the standard Game of Life, where all known sawtooths are complex, precisely-engineered patterns.

x = 4, y = 4, rule = B36/S23 b3o$o$o$o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]

A 6-cell, 3-generation predecessor of the replicator (click above to open LifeViewer) RLE: here Plaintext: here

A natural period 96 oscillator based on the replicator and a pair of blocks functioning as eaters exists. The oscillator is adjustable; moving the bottom block 16n cells down and 16n cells right yields an oscillator with a period of 96 times the (n+1)th term of the sequence  A086839.

x = 35, y = 19, rule = B36/S23 2o33b$2o10bo22b$11b2o22b$10bobo22b$9b3o23b$35b$15b3o17b$14bobo18b$14b2o19b$ 14bo20b$35b$35b$35b$35b$35b$35b$35b$33b2o$33b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]

The period 96 replicator oscillator (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

Bomber

For other uses of the term 'bomber', see Bomber (disambiguation).

Main article: OCA:HighLife/Bomber

The bomber is a replicator-based spaceship that occurs naturally and was discovered by Nathan Thompson. It can be formed by placing a blinker in the path of the replicator as shown below. The spaceship itself has a period 48 and travels diagonally at speed c/6. The blinker reacts with one of the spawned replicators such that it destroys itself and the spawned replicator while leaving another blinker on the other side of the spaceship. It is thus a glide symmetric spaceship with mod equal to 24. It is the 3rd most common spaceship in HighLife, being slightly more common than the middleweight spaceship.

x = 9, y = 14, rule = B36/S23 bo$bo$bo3$3bo$2b2o$bobo$3o2$6b3o$5bobo$5b2o$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 8 TRACKLOOP 48 1/6 1/6 ]] The bomber (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 10, y = 6, rule = B36/S23 b3o6b$o9b$o9b$o8bo$9bo$9bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] A 9-cell predecessor of the bomber (click above to open LifeViewer) RLE: here Plaintext: here

Trivia

• All linear growth patterns for HighLife on the Catagolue feature the replicator in a major way.