Difference between revisions of "Charity's p16"

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It also completes at least two previously discovered oscillator partials: a p32 [[traffic light]] and [[honey farm hassler]]<ref name="post147745" /> and a p16 traffic light hassler,<ref name="post147762" /> both of which were originally found by [[David Raucci]] in January 2022.<ref name="post140656" /><ref name="post140013" />
It also completes at least two previously discovered oscillator partials: a p32 [[traffic light]] and [[honey farm hassler]]<ref name="post147745" /> and a p16 traffic light hassler,<ref name="post147762" /> both of which were originally found by [[David Raucci]] in January 2022.<ref name="post140656" /><ref name="post140013" />


The name "Charity's p16" was first proposed by [[Adam P. Goucher]],<ref name="message992165410436808744" /> in analogy to [[Rich's p16|Rich's]] and [[Rob's p16]]s, both of which are named after their discoverer's given names and both of which also pertain to wealth.<ref name="message992168633079971922" /> "Rity's p16", the name first proposed by [[Ignacy Jackl]],<ref name="message992165449817128980" /> features an abbreviation of "charity" in order to maintain alliteration between the three oscillators, and is preferred by some community members.<ref name="message992348834640449637" />
The name "Charity's p16" was first proposed by [[Adam P. Goucher]],<ref name="message992165410436808744" /> in analogy to [[Rich's p16|Rich's]] and [[Rob's p16]]s, both of which are named after their discoverer's given names and both of which also pertain to wealth.<ref name="message992168633079971922" /> "Rity's p16", the name first proposed by [[Iota Jackl]],<ref name="message992165449817128980" /> features an abbreviation of "charity" in order to maintain alliteration between the three oscillators, and is preferred by some community members.<ref name="message992348834640449637" />


== LCM oscillators ==
== LCM oscillators ==
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}}</ref>
}}</ref>
<ref name="message992165449817128980">{{CiteDiscord
<ref name="message992165449817128980">{{CiteDiscord
|author  = Ignacy Jackl
|author  = Iota Jackl
|date    = June 30, 2022
|date    = June 30, 2022
|channel = cgol
|channel = cgol

Latest revision as of 11:21, 23 March 2026

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 ]]
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

Charity's p16 (or Rity's p16) is a small period-16 oscillator discovered by Charity Engine on June 30, 2022,[1] specifically in a dimer form within a symmetric soup.[2]

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,[1] an unnamed period-4 high-clearance sparker,[3] 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.[4] The reaction can even be used to support another copy of itself, allowing it to be stacked indefinitely.[5]

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.[1] It can also filter a period-24 stream to period 48,[5] or, when positioned differently, can eat it entirely.[6]

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)
Catagoluehere

It also completes at least two previously discovered oscillator partials: a p32 traffic light and honey farm hassler[1] and a p16 traffic light hassler,[7] both of which were originally found by David Raucci in January 2022.[8][9]

The name "Charity's p16" was first proposed by Adam P. Goucher,[10] 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.[11] "Rity's p16", the name first proposed by Iota Jackl,[12] features an abbreviation of "charity" in order to maintain alliteration between the three oscillators, and is preferred by some community members.[13]

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[14]
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere


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)
Catagoluehere

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

References

  1. 1.0 1.1 1.2 1.3 EvinZL (June 30, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. cvojan (June 30, 2022). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  3. Dave Greene (June 30, 2022). Message in #cgol on the Conwaylife Lounge Discord server
  4. exhibited in Period1GliderGun (March 20, 2024). Message in #cgol on the Conwaylife Lounge Discord server
  5. 5.0 5.1 Anivec (June 30, 2022). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  6. Dave Greene (June 30, 2022). Message in #cgol on the Conwaylife Lounge Discord server
  7. David Raucci (July 1, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  8. David Raucci (January 23, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  9. David Raucci (January 9, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  10. Adam P. Goucher (June 30, 2022). Message in #cgol on the Conwaylife Lounge Discord server
  11. Dave Greene (June 30, 2022). Message in #cgol on the Conwaylife Lounge Discord server
  12. Iota Jackl (June 30, 2022). Message in #cgol on the Conwaylife Lounge Discord server
  13. Darren Li (July 1, 2022). Message in #cgol on the Conwaylife Lounge Discord server
  14. Matthias Merzenich (June 30, 2022). Re: Smallest Known Oscillators to p106 (and Beyond) (discussion thread) at the ConwayLife.com forums

External links