Ocellus

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Ocellus
x = 31, y = 25, rule = B3/S23 7b2o4bo$7b2o3bobo$13bo3$2o2b2o2b2o$2o2b2ob2o16bo$9bo15b3o$22bo5bo$ 22b6obo$3b2o22bobo$2bo2b2o15b2o2bo2b2o$2bo4b2o13bobo2b2o$2o3bob2o 17bobo$bobo23bo$bob6o$2bo5bo$3b3o$5bo19b2o2b2o$25b2o2b2o3$17bo$16b obo3b2o$17bo4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 114 GPS 19 THUMBSIZE 2 ZOOM 10 ]]
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Pattern type Oscillator
Oscillator type Relay
Number of cells 92
Bounding box 31 × 25
Period 114 (mod: 57)
Heat 17.9
Volatility 0.77 | 0.65
Kinetic symmetry n.c
Discovered by Michael Simkin
Noam Elkies
Year of discovery 2015

Ocellus is a period-114 oscillator, being the second-smallest example of a relay construction using p6 thumbs allowing all oscillators of periods 90 + 24n to be constructed with 92 cells. It was formerly the smallest known p114 oscillator, until the discovery of caterer on 44P38 in 2022. It uses Michael Simkin's reduction of Noam Elkies' 180-degree reflector.[1] A glider synthesis for this oscillator was found by Jeremy Tan on September 5, 2021.[2]

The underlying reaction can be supported with many oscillators that emit a dot spark, as shown below:

x = 246, y = 89, rule = B3/S23 10b2o4bo38b2o4bo38b2o4bo38b2o4bo38b2o4bo38b2o4bo$10b2o3bobo37b2o3bobo 37b2o3bobo37b2o3bobo37b2o3bobo37b2o3bobo$16bo44bo44bo44bo44bo44bo3$3b 2o2b2o39b2o2b2o39b2o2b2o39b2o2b2o39b2o2b2o39b2o2b2o$3b2o2b2o39b2o2b2o 39b2o2b2o39b2o2b2o39b2o2b2o39b2o2b2o4$3b2o49bo129b4o$3bo2b5o36b2o2b2o 2bo123b2o7bo34b2obo5bob2o$4b2o5bo35bo2bob3o41b5o40b2ob2o33b2o2b2o3bo33b o3b2o3b2o3bo$b3o15b2o27bobo3bo9b2o28b3obob3o6b2o28b3o3b3o6b2o27b2o2bo 11b2o19b3obo3bobo3bob3o5b2o$bo2bobo4b2o5b2o29bo3bo9b2o28bo4bo4bo4b2o28b o4bo4bo4b2o43b2o19bo4bobobobobobo4bo3b2o$2b2o4bo4bo6bo29b3obo10bo27bo b2o2bob2obo5bo28b4ob2ob2o6bo44bo19b5obobobobob5o6bo$13b2o39b2o38bo2b2o 3bobo37bobobo2b2o74b2obobob2o$13b2o35b6o39b2o2bo2bob2o33b2obo2b4o2bo70b 2o5bo5b2o$12b2o35bo3bob2o40bo4bobo2bo31b2ob2o2bobob2o70bo13bo$9bo2bo2b 2o32b2o4bobo39b4ob2o2b2o40bobo72bo11bo$7b3o4bo41bobo42bo46bo2bo70b2o11b 2o$6bo4b5obo39bo41bobo43b2o2b3o$7b5o5bo81b2o44b4o$9bo2b5o132bo$12bo128b 2obobob2o$14bo126bob2ob2o$13b2o130bo3b3o$145bob2o2bo$146bobo29$10b2o4b o38b2o4bo38b2o4bo38b2o4bo38b2o4bo38b2o4bo$10b2o3bobo37b2o3bobo37b2o3b obo37b2o3bobo37b2o3bobo37b2o3bobo$16bo44bo44bo44bo44bo44bo3$3b2o2b2o39b 2o2b2o39b2o2b2o39b2o2b2o39b2o2b2o39b2o2b2o$3b2o2b2o39b2o2b2o39b2o2b2o 39b2o2b2o39b2o2b2o39b2o2b2o3$180b2o$6bo172bobo$4bo2bo36bo6bo45b3o24b2o 52bo6b2o$4bo2bo35bo7b2o3b2o40bo26bo16bo35bo2bo2bo2bob2o$4bo2bo11b2o22b 2o5bobo3b2o6b2o32bo10b2o14bobo13b3o10b2o22bo6b2o2b2o8b2o43b2o$b3obo3b o8b2o27bob3o11b2o32b3o8b2o16b2o3b2o7bob3o8b2o16b2o6bobo16b2o34bo8b2o$ 4bob4o10bo26b3o15bo44bo19b4o6bo2b3o9bo14bobo7b2o18bo32b3o9bo$o4bo4b2o 85b3o29b3o2bo6b4o25bo61bobobo$b3obob2obo36b3o47b3o30b3obo7b2o3b2o20b2o 61bobobo$5bob2obob3o32bob3o79b3o13bobo80b2ob3ob2o$4b2o4bo4bo27b2o5bob o3b2o39b3o32bo16bo79bob2obob2obo$6b4obo31bo7b2o3b2o40bo50b2o72b2o3b2o bo5bob2o$6bo3bob3o29bo6bo46bo124b2o4b2obo3bob3o$8bo2bo85b3o130b3o3b3o b3o$8bo2bo229bobo$8bo2bo210b2o19bo$9bo213bo19b2o$220b3o16b2o$220bo13b o4bo$233bobobobo$232bob2ob2o$232bo$231b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 1200 HEIGHT 480 ZOOM 4 Y -8 ]] #C [[ LABELALPHA 1 LABELSIZE 40 COLOR LABEL Blue ]] #C [[ LABEL 15 -10 6 "p4" ]] #C [[ LABEL 60 -10 6 "p5" ]] #C [[ LABEL 105 -10 6 "p6" ]] #C [[ LABEL 150 -10 6 "p7" ]] #C [[ LABEL 195 -10 6 "p8" ]] #C [[ LABEL 240 -10 6 "p10" ]] #C [[ LABEL 15 47 6 "p12" ]] #C [[ LABEL 60 47 6 "p14" ]] #C [[ LABEL 105 47 6 "p15" ]] #C [[ LABEL 150 47 6 "p22" ]] #C [[ LABEL 195 47 6 "p30" ]] #C [[ LABEL 240 47 6 "p46" ]]
Gallery of 3-block-1-tub periodic 180-degree reflectors. From top to bottom, left to right:


p4, using a middleweight emulator variant for higher clearance to allow glider input.
p5, using a 37-cell p5 thumb.
p6, using a p6 pipsquirter. P6 thumb can be used to reduce the population, and is used in Ocellus
p7, using a thinner p7 pipsquirter variant, 34P7 can be used to reduce the population. The 34P7 variant is used in Gallus.
p8, using a blocker.
p10, using 55P10.
p12, using Eye of Sauron.
p14, using 34P14 shuttle. It can also be used in Gallus.
p15, using Pentadecathlon.
p22, using Jason's p22.
p30, using buckaroo.
p46, using Tanner's p46.



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See also

References

  1. ↑ Matthias Merzenich (May 28, 2021). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums
  2. ↑ Jeremy Tan (September 5, 2021). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
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