Rob's p16

Rob's p16
x = 8, y = 9, rule = B3/S23 5b2o$2bo2b2o$bo4bo$bo4bo$6bo$2obobo$2ob2o2$5b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 24 GPS 4 LOOP 16 ]]
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Pattern type	Oscillator
Number of cells	21
Bounding box	10 × 12
Period	16 (mod: 8)
Heat	21
Volatility	1.00 | 1.00
Kinetic symmetry	n-e
Discovered by	Rob Liston
Year of discovery	2020
Rules Outer-totalistic rules B3/S23 – B378/S2378 # of rules 24 = 16 Isotropic rules B3-ky/S23-c – B34cq5ceky6n78/S234ceky5jy6cik78
Glider synthesis Fewest gliders 8 Catagolue-generated RLE synthesis
Pattern files Plaintext robsp16.cells RLE robsp16.rle
Identifiers apgcode xp16_0c2w3vz33032988

Not to be confused with Rich's p16.

Rob's p16 is a period-16 oscillator that was found by Rob Liston on February 9, 2020 using Adam P. Goucher's apgsearch, and first noticed by a human the next day. It is the smallest known period-16 oscillator in terms of both population and bounding box, the first p16 to appear naturally, the first known strictly volatile p16, and the first new rotor discovered by asymmetric soup search since the 1980s.

It also gives off weak sparks, which in addition to allowing for the construction of non-trivial higher-period oscillators as seen in a later section, can be used to filter an LWSS stream resulting in a reduction to the pseudo-period p16 glider gun. On November 12, James Pascua constructed a p32 lumps of muck hassler using this oscillator. Later James Pascua constructed a period-48 glider gun that is currently the smallest at that period, also using this oscillator.

Glider synthesis

A 17-glider synthesis of this oscillator was found by Tanner Jacobi the day of its discovery. Liston found a second Rob's p16 soup on June 30, leading to a 15-glider synthesis by Goldtiger997 the next day. Yet another soup found by Liston in February 2021 reduced the cost to 13 gliders and then to 11 gliders. A fifth soup by Adam P. Goucher (incidentally the first soup not found by Liston) led to a 10-glider synthesis, which Dave Greene made a slow-salvo seed out of. A C1 soup occurrence in January 2023 led to a 9-glider synthesis, which was reduced to an 8-glider synthesis on April 2, 2023.

Occurrence

See also: List of common oscillators

As of October 2024, it has appeared 10 times in 559 trillion asymmetric soups.

LCM oscillators

The LCM 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 = 17, y = 10, rule = B3/S23 2o$o2b2o4b3o$b2obo$5bo6b2ob2o$5bo5bobob2o$b2obo5bo$o2b2o5bo4bo$2o8bo4b o$10b2o2bo$10b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 20 THUMBSIZE 2 ZOOM 16 ]]

p80 with fumarole (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 16, y = 10, rule = B3/S23 bo6b3o$bo$obo8b2ob2o$bo8bobob2o$bo7bo$bo7bo4bo$bo7bo4bo$obo6b2o2bo$bo7b2o$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 20 THUMBSIZE 2 ZOOM 16 ]]

p240 with pentadecathlon (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 32, y = 23, rule = B3/S23 12bo$12b3o7b2o$5b2o8bo6bo$2b2ob2o7b2o4bobo$bo18b2o$5b2o$6bo$2o3bo2bo$ 5o3bo$8bo$27b2o$28bo$28bob2o$27b2ob2o$19b2o$19bo$19bo2bo$20b2o2$10b2o$ 9bobo$9bo$8b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 14 GPS 24 ]]

p272 with p68 century hassler (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 [[ HEIGHT 450 THUMBSIZE 2 ZOOM 12 GPS 31 ]]

p496 with Merzenich's p31 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

There is also a notable trivial p80 LCM oscillator.

External links

• Rob's p16 at Adam P. Goucher's Catagolue