68P32.1

68P32.1 is an unnamed period-32 oscillator found by Matthias Merzenich on December 31, 2009.[1] It is the second smallest period-32 oscillator known after Gourmet. It appeared in the ash of a D4_+1 soup on March 27, 2016, as part of a haul submitted to Adam P. Goucher's Catagolue.[2] It can filter a glider stream of period 32n+16 to double its period.

68P32.1
<html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>x = 19, y = 19, rule = B3/S23 2b2o11b2o$2b2o11b2o$bo2bo9bo2bo$2bobo9bobo2$b3o11b3o$bo2bo9bo2bo$o2bo 11bo2bo$b2o13b2o2$b2o13b2o$o2bo11bo2bo$bo2bo9bo2bo$b3o11b3o2$2bobo9bob o$bo2bo9bo2bo$2b2o11b2o$2b2o11b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] <nowiki>#C [[ GPS 8 ZOOM 11 LOOP 32 ]]</nowiki> <html></code></div></div><canvas width="200" height="300" style="margin-left:1px;"><noscript></html> <html></noscript></canvas></div></html>
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Pattern type Oscillator
Number of cells 68
Bounding box 23×23
Period 32
Mod 16
Heat 60.5
Volatility 1.00
Strict volatility 0.92
Discovered by Matthias Merzenich
Year of discovery 2009

Synthesis

Jason Summers and Matthias Merzenich found a 37-glider synthesis of 68P32.1 on April 20, 2010.[3] Chris Cain used the oscillator's first occurrence on Catagolue to create a 32-glider synthesis on March 27, 2016,[4] which he improved to 24 gliders on the same day.[5]

<html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>x = 90, y = 73, rule = B3/S23 35b2o3b2o$37bobo2bo$34bo5b2o$35bob3o$36b2o2b2o2b2o$28b2o5bo2bobo2bobo$ 27bo2bo4b4o2bobo7b2obo$26bo2bo2bo6bo4bo5bobob3o11b2o$23bo2b3o8b2o2b3ob o3bo2bo4bo9bobo$15bob2o4b3o3b2obo4bo6bo5b3o3bobo4b2o2bo$2o11b3obobo6b 2o3bo7bob3o11bob5o2b4o$obo9bo4bo2bo2b2obo10b5o6b8o6bobo$2bo8bobo3b3o3b o3bo8bobo9bo7b3o4b2ob2o$2b2ob3o4bobo9b3o8b2obo11bo2b2o4bob2o2b2obo$4b 2o8b8o4b2ob2o7b2o9b2o2bo14bo$2b2o4b6o3bo3bo9bo5b2o8bo3b4obo5b6o$bobob 4o2bo3bo3bo7bo6bobo13b3o3bo6bo$bo6bo3b2o2bo2b2o7bob2o3bo10bo6bo2b3o2bo 4b2o$2b6o9b2o2bo16b2o6b2obo3bo4bo2b2o3b2o$6bo5b2o3b2o2bo9bo4bo3bo5b2ob obo2b4o$2b2o4bo3b3o3bo2bo9bo4bo3bo5b2o2b4o$2b2o3b2o3bo3b2o2b2o3bo5bo4b o3bo5b2obobo2b4o$12b4o4bobo14b3o6b2obo3bo4bo2b2o3b2o$16b3ob2o4b4o3b3o 10bo6bo2b3o2bo4b2o$12b4o4bobo27b3o3bo6bo$2b2o3b2o3bo3b2o2b2o3bo5bo5bo 9bo3b4obo5b6o$2b2o4bo3b3o3bo2bo9bo6b2o9b2o2bo14bo$6bo5b2o3b2o2bo10bo4b 2o11bo2b2o4bob2o2b2obo$2b6o9b2o2bo26bo7b3o4b2ob2ob2o$bo6bo3b2o2bo2b2o 8bo2bo15b8o6bobo4bo$bobob4o2bo3bo3bo7b3o2b3o7bo12bob5o2b4obo$2b2o4b6o 3bo3bo6b2o2b2o9b2o5b3o3bobo4b2o2bob2o$4b2o8b8o7bo2bo9b2o5bo2bo4bo9bo$ 2b2ob3o4bobo12bobo2bobo15bobob3o9b2o$2bo8bobo3b3o7b2o4b2o16b2obo$obo9b o4bo2bo55bo3bo$2o11b3obobo51bo3bobobobo3bo$15bob2o20b2o28bo5bobobobo5b o$35b2obo2bob2o22b2o2b2obobo3bobob2o2b2o$35bo4bo2b2o27bobo7bobo$39bo 12bo19bobo7bobo$36bobo14b2o$52b2o2$39b2ob2o3b2ob2o$38bo5bobo5bo$43b2ob 2o$41bo7bo$38bo2bob2ob2obo2bo19bobo7bobo$39bo3bo3bo3bo20bobo7bobo$40b 2ob2ob2ob2o11bo4b2o2b2obobo3bobob2o2b2o$41bo2bobo2bo13b2o4bo5bobobobo 5bo$42bobobobo13b2o7bo3bobobobo3bo$43bo3bo28bo3bo17$82bo$83b2o$82b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 20 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 6 WIDTH 640 HEIGHT 480 ]]<html></code></div></div><canvas width="200" height="300" style="margin-left:1px;"><noscript></html>
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A period 160 glider gun using 68P32.1 as a filter
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RLE: here Plaintext: here
gollark: Exactly.
gollark: bAd.
gollark: Enforcing strict channel rules BAD.
gollark: Haven't we all?
gollark: Hi populace, be quelled.

References
  1. Jason Summers' jslife pattern collection. Retrieved on October 7, 2019.
  2. Apple Bottom (2016-03-27). "Haul 0e0fa5e639e015e289ad6bda5ca26c33". Catagolue. Retrieved on 2016-03-27.
  3. Jason Summers (April 20, 2010). Re: Glider synthesis discussion (discussion thread) at the ConwayLife.com forums
  4. Chris Cain (March 27, 2016). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  5. Chris Cain (March 27, 2016). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
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