Ocellus: Difference between revisions
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{{Oscillator | {{Oscillator | ||
|name = | |name = Ocellus | ||
|pname = | |pname = ocellus | ||
|f1 | |f1 = Relay | ||
|c = 92 | |c = 92 | ||
|bx = 31 | |bx = 31 | ||
| Line 11: | Line 11: | ||
|v = 0.77 | |v = 0.77 | ||
|sv = 0.65 | |sv = 0.65 | ||
|symmetry = n.c | |||
|discoverer = Michael Simkin | |||
|discoverer2 = Noam Elkies | |||
|discoveryear = 2015 | |||
|rulemin = B3/S23 | |rulemin = B3/S23 | ||
|rulemax = B37/S2378 | |rulemax = B37/S2378 | ||
| Line 16: | Line 20: | ||
|isorulemin = B3-c/S23-y | |isorulemin = B3-c/S23-y | ||
|isorulemax = B34cy6-ik7/S234ceiz5ekn6-ck78 | |isorulemax = B34cy6-ik7/S234ceiz5ekn6-ck78 | ||
|synthesis = 109 | |||
|plaintext = true | |plaintext = true | ||
|rle = true | |rle = true | ||
| Line 21: | Line 26: | ||
|apgcode = xp114_y1jjxo443aq4ozccxpdgx3cd0f811z8k8zyi4a4zy44s0cky6cczy2178nkica4xjjzy71y211 | |apgcode = xp114_y1jjxo443aq4ozccxpdgx3cd0f811z8k8zyi4a4zy44s0cky6cczy2178nkica4xjjzy71y211 | ||
}} | }} | ||
''' | '''Ocellus''' is a {{period|114}} [[oscillator]], being the second-smallest example of a [[relay]] construction using [[p6 thumb]]s 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 {{year|2022}}. It uses [[Michael Simkin]]'s reduction of [[Noam Elkies]]' 180-degree [[reflector]].<ref name="post131000" /> A [[glider synthesis]] for this oscillator was found by [[Jeremy Tan]] on September 5, 2021.<ref name="post135568" /> | ||
== | The underlying reaction can be supported with many oscillators that emit a [[dot]] [[spark]], as shown below: | ||
{{EmbedViewer | |||
|rle = 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! | |||
== | |position = center | ||
{{ | |caption = Gallery of 3-block-1-tub periodic 180-degree reflectors. From top to bottom, left to right: | ||
<br> p4, using a [[middleweight emulator]] variant for higher [[clearance]] to allow [[glider]] input. | |||
<br> p5, using a 37-cell p5 thumb. | |||
<br> p6, using a [[p6 pipsquirter]]. [[P6 thumb]] can be used to reduce the [[population]], and is used in [[Ocellus]] | |||
<br> p7, using a thinner [[p7 pipsquirter]] variant, [[34P7]] can be used to reduce the population. The 34P7 variant is used in [[Gallus]]. | |||
<br> p8, using a [[blocker]]. | |||
<br> p10, using [[55P10]]. | |||
<br> p12, using [[Eye of Sauron]]. | |||
<br> p14, using [[34P14 shuttle]]. It can also be used in [[Gallus]]. | |||
<br> p15, using [[Pentadecathlon]]. | |||
<br> p22, using [[Jason's p22]]. | |||
<br> p30, using [[buckaroo]]. | |||
<br> p46, using [[Tanner's p46]]. | |||
<br> | |||
|viewerconfig = #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" ]] | |||
}} | |||
== See also == | |||
* [[p60 glider shuttle]] | |||
* [[Gallus]] | |||
== References == | |||
<references> | |||
<ref name="post131000">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Thread for your unsure discoveries | |||
|p = 131000 | |||
|author = Matthias Merzenich | |||
|date = May 28, 2021 | |||
}}</ref> | |||
<ref name="post135568">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Synthesising Oscillators | |||
|p = 135568 | |||
|author = Jeremy Tan | |||
|date = September 5, 2021 | |||
}}</ref> | |||
</references> | |||
{{ | == External links == | ||
[ | * {{LinkCatagolue|xp114_y1jjxo443aq4ozccxpdgx3cd0f811z8k8zyi4a4zy44s0cky6cczy2178nkica4xjjzy71y211}} | ||
* [https://mlp.fandom.com/wiki/Ocellus Ocellus name origin] | |||
Latest revision as of 03:13, 30 September 2025
| Ocellus | |||||||||
| View static image | |||||||||
| 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:
| Gallery of 3-block-1-tub periodic 180-degree reflectors. From top to bottom, left to right:
(click above to open LifeViewer) |
See also
References
- ↑ Matthias Merzenich (May 28, 2021). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums
- ↑ Jeremy Tan (September 5, 2021). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
External links
- Patterns
- Oscillators with 92 cells
- Periodic objects with minimum population 92
- Patterns with 92 cells
- Patterns found by Michael Simkin
- Patterns found by Noam Elkies
- Patterns found in 2015
- Patterns that can be constructed with between 100 and 199 gliders
- Oscillators
- Relays
- Oscillators with period 114
- Oscillators with mod 57
- Oscillators with heat 17
- Oscillators with volatility 0.77
- Oscillators with strict volatility 0.65
- Oscillators with n.c symmetry