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 ]]
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:

{{RLE:{{{pname}}}}} #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