Charity's p16

Charity's p16
x = 12, y = 12, rule = B3/S23 4b3o3b2o$bo2b3o3b2o$obo2b2o$bo3$6b2o$4bob2o$3bo$6bo$2b2obo$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 600 THUMBSIZE 3 ZOOM 30 GPS 4 LOOP 16 ]]
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Pattern type	Oscillator
Number of cells	28
Bounding box	12 × 17
Period	16 (mod: 16)
Heat	24.1
Volatility	0.95 | 0.46
Kinetic symmetry	n
Discovered by	Charity Engine
Year of discovery	2022
Rules Outer-totalistic rules B3/S23 – B378/S23 # of rules 22 = 4 Isotropic rules B3-ky/S23-eky – B34iqty5aery6eik78/S234ceitz5knr6ci7e
Glider synthesis Fewest gliders 10 Catagolue-generated RLE synthesis
Pattern files Plaintext charitysp16.cells RLE charitysp16.rle
Identifiers apgcode xp16_33y0ggz77jx1581qoz0121

Charity's p16 (or Rity's p16) is a small period-16 oscillator discovered by Charity Engine on June 30, 2022, specifically in a dimer form within a symmetric soup.

It consists of a Wing being hassled by a block, a tub, and a figure eight. Other domino sparkers can substitute for the figure eight, including Kok's galaxy, Rob's p16, an unnamed period-4 high-clearance sparker, and (in its thinnest form, used for optimising bounding boxes) with a p4 sparker that protrudes only 5 cells back and has the same end stabilisations as turning toads. The reaction can even be used to support another copy of itself, allowing it to be stacked indefinitely.

Charity's p16 itself gives off an obo! spark which can interact with a glider stream in many different ways, such as an unusually slow eating reaction in which the glider is turned into a boat, a blinker, and then a beehive before finally being destroyed. It can also filter a period-24 stream to period 48, or, when positioned differently, can eat it entirely.

x = 20, y = 17, rule = B3/S23 12bobo2$11bo$18b2o$9bo2b3o3b2o$8bobo$3o6bo$2bo11bo$bo12b2o$13b2obo$12b o2b3o$11bobobo$10bobobo$8b3o2bo$9bob2o$10b2o$11bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 AUTOSTART GPS 8 T 0 PAUSE 2 LOOP 96 ]]

(click above to open LifeViewer) Catagolue: here

It also completes at least two previously discovered oscillator partials: a p32 traffic light and honey farm hassler and a p16 traffic light hassler, both of which were originally found by David Raucci in January 2022.

The name "Charity's p16" was first proposed by Adam P. Goucher, in analogy to Rich's and Rob's p16s, both of which are named after their discoverer's given names and both of which also pertain to wealth. "Rity's p16", the name first proposed by Iota Jackl, features an abbreviation of "charity" in order to maintain alliteration between the three oscillators, and is preferred by some community members.

On September 28, 2026, 8than888 found a way to rephase Charity's p16 to period 15 using a pair of p15 glider guns.

x = 63, y = 36, rule = B3/S23 32bo$32b2o$34bo2b2o2b2o$28bo4b2o2b2o2bobo8bo$27bobo12bobo2b2o2bobo$28b o15b3obo3bo$41bo3bo$33b2o6bo8bo$20b2o11b2o6bo3bo3b2o10b2o$10bo8bobo8b o14bob2o12bo$9bobob2o4bo9bobo14bo5bo6bobo$10bob3ob2o11bo2bo6bo10bo2bo 5b2o$12bo3b2o12b2o6b2o13bo$12b4o4b3o15bobo9bo$2o11bob3o8b2o15bo3b2o2b 3o$bo13bobo9b2o13bo5b3o2bobo3b2o$bobo6bo5bo9bo14bo2bo6bo7bobo$2b2o6b3o 29bobo3bo12bo$10b3o9b3o23bo2bo9b2o$7bo2b2o3b2o7bo24bo5bo$6bo2b2o7bo4b o11bo17b2obo$2b2o9b2o4b2o13b3o5bo8b2o3bo3bo$bobo2bobo3b2o4b3o12b2ob2o 3b3o7bo8bo$bo9b3o5b2o11b3ob3o17bo3bo$2o9b3o18b3ob3o2b3o5bo3bob3o$7bo5b o18b3ob3o2b3o4bobo2b2o2bobo$6bobo18bo4b3ob3o10bo8bobo$6b3obo15bobo4b2o b2o3b3o15b2o$b3o4b4o7b3o3bo3bo4b3o5bo$6b2o3bo8bo4bo3bo5bo$6b2ob3obo6b o4bo3bo$4bo4b2obobo5bo4bo3bo$2bobo8bo6bo4bo3bo$2b2o15b3o3bo3bo$26bobo $27bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 6 AUTOSTART GPS 8 T 0 PAUSE 2 LOOP 105 ]]

p15 rephasing, could be called "Charity's p15" but akin to Tanner's p45 it was not discovered by Charity Engine (click above to open LifeViewer) Catagolue: here

LCM oscillators

The LCM oscillators below are the smallest known ones of their period by population while satisfying the condition that at least one cell oscillates at the full period.

x = 24, y = 16, rule = B3/S23 4b2o$2obo$2o2bo2bo$5bobo$6bo5b2o$12b2o$5b2o$5b2o$18b2o$12b3o3b2obo$12b 3o7bo$12b2o5bo$20bob2o$14bo7b2o$13bobo$14bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 16 GPS 20 LOOP 48 ]]

p48 with unix (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

Dependent oscillators

In Mitchell Riley's CatForce census on Catagolue, there is an oscillator comprised of two Charity's p16s and two eater 1s hassling two objects that are R-pentominoes in one phase and traffic light predecessors in another symmetrically.

x = 42, y = 20, rule = B3/S23 10bo14bo$b3o5bobo11b3o$o9bo11bo$o3bo17b2o$o2bobo$2bobo2bo5b2o$3bo3bo3bobo5bob o$7bo3b2o5bo2bo$4b3o12bobo7b2o$29b2o$11b2o$11b2o7bobo12b3o$20bo2bo5b2o3bo$20b obo5bobo3bo3bo$27b2o5bo2bobo$36bobo2bo$18b2o17bo3bo$19bo11bo9bo$16b3o11bobo5b 3o$16bo14bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 GPS 20 LOOP 16 ]]

Dependent oscillator (click above to open LifeViewer) Catagolue: here

It is also used in two of the period-32 pi-heptomino hasslers and 86P256.

External links

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