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{{Oscillator | {{Oscillator | ||
|name = | |name = 84P199 | ||
|pname = | |pname = 84p199 | ||
|c = | |c = 84 | ||
|bx = | |bx = 52 | ||
|by = 45 | |by = 45 | ||
|p = 199 | |p = 199 | ||
|m = 199 | |m = 199 | ||
|h = | |h = 90.5 | ||
|v = 0. | |v = 0.98 | ||
|sv = 0. | |sv = 0.98 | ||
|symmetry = +e | |||
|discoverer = Mitchell Riley | |discoverer = Mitchell Riley | ||
|discoverer2 = | |discoverer2 = Luke Kiernan | ||
|discoverer3 = iNoMed | |||
|discoveryear = 2022 | |discoveryear = 2022 | ||
|rulemin = B3/S23 | |rulemin = B3/S23 | ||
|rulemax = B3/S23 | |rulemax = B3/S23 | ||
|isorulemin = B3/S23 | |isorulemin = B3/S23 | ||
|isorulemax = B3/ | |isorulemax = B3/S236i | ||
|synthesis = 30 | |||
|plaintext = true | |plaintext = true | ||
|rle = true | |rle = true | ||
|viewerconfig = #C [[ LOOP 199 GPS | |viewerconfig = #C [[ LOOP 199 GPS 15 THUMBSIZE 3 ZOOM 12 HEIGHT 650 WIDTH 800 ]] | ||
|apgcode = | |apgcode = xp199_yc33y366y333zccyzy5cczye6kkgy4gkk6zy4ggysggzy4hhyshhzy411ys11zyec551y4155cz66yzy566zycooy3ccy3oo | ||
}} | }} | ||
''' | '''84P199''' (or '''p199 R-pentomino hassler''') is a {{period|199}} [[oscillator]] found by [[Mitchell Riley]] and [[Luke Kiernan]] on July 6, [[2022]] using a [[symmetric]] variant of [[CatForce]]. It hassles 4 [[R-pentomino]]es or 4 [[lumps of muck]] with 14 [[block]]s. While its original 248-cell form (using [[eater 4]] as a [[catalyst]])<ref name="post147980" /> does not produce any useful [[spark]]s, its reduced form with 200 cells<ref name="message994433084604825750" /> (shown in reference), in addition to later versions, happens to function as a [[pipsquirter]]. Despite having relatively low [[clearance]], the spark can still be used to form [[LCM oscillator]]s.<ref name="message994434100721090633" /> It has since been reduced to its 104-cell form<ref name="post147992" /> and then to 84 cells.<ref name="message994576174246264832" /><ref name="post147996" /> It is currently the highest known [[prime-period oscillator]] that does not rely on glider or signal loops, surpassing [[74P127]] which was discovered just four days earlier. | ||
==References== | == LCM oscillators == | ||
The [[LCM oscillator]]s below are listed due to being the smallest known ones by population while also satisfying the condition that at least one cell oscillates at the full period.<ref name="skopje" /> | |||
{{gallery top}} | |||
{{gallery item|{{EmbedViewer | |||
|position = center | |||
|rle = x = 59, y = 45, rule = B3/S23 | |||
23b2o16b2o$23b2o7b2o7b2o$32b2o5$7b2o48b2o$7b2o48b2o2$3bo$2bobo20bo14b | |||
o$2bobo20b3o10b3o$2o2b2o$bobo2b2o18b3o8b3o$o2b2obobob2o$b2o3bob2obo$3b | |||
2obo$3bob2o$15b2o32b2o$15b2o32b2o4$15b2o32b2o$15b2o32b2o5$26b3o8b3o2$ | |||
25b3o10b3o$25bo14bo3$7b2o48b2o$7b2o48b2o5$32b2o$23b2o7b2o7b2o$23b2o16b | |||
2o! | |||
|viewerconfig = #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 460 ]] | |||
|caption = 115P398 with the same small [[P5 phase shifter]] also used in [[SKOP]] 18 (tied with [[P18 bi-block hassler]]), 63, and 108. The reaction is a [[phase shift]].<ref name="post192909" /> | |||
|style = width:300px; | |||
|apgcode = xp398_yc33y366y333zccyzy5cczye6kkgy4gkk6ydgg8eh6o8zy4ggysggx31230f85d221zy4hhyshhzy411ys11zyec551y4155cz66yzy566zycooy3ccy3oo | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|pname = catereron84p199 | |||
|position = center | |||
|viewerconfig = #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 460 ]] | |||
|caption = 96P597 with [[caterer]] | |||
|style = width:300px; | |||
|apgcode = xp597_yc33y366y333zccyzy5cczye6kkgy4gkk6ye44mg2637zy4ggysggy71zy4hhyshhzy411ys11zyec551y4155cz66yzy566zycooy3ccy3oo | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|pname = moldon84p199 | |||
|position = center | |||
|viewerconfig = #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 460 ]] | |||
|caption = 96P796 with [[mold]] | |||
|style = width:300px; | |||
|apgcode = xp796_y333yn33zyfooxoozz66y5os8gybg8soy566zy913yb31z033yz33zggy5csa7yb7ascy5ggz11yzw11zyfccxcczzy333xosq596ye33 | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|pname = pseudobarberpoleon84p199 | |||
|position = center | |||
|viewerconfig = #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 460 ]] | |||
|caption = 99P995 with [[pseudo-barberpole]] | |||
|style = width:300px; | |||
|apgcode = xp995_y333yn33zyfooxoozz66y5os8gybg8soy566zy913yb31z033yz33zggy5csa7yb7ascy5ggz11yzw11zyfccxcczzy333xgc26yg33zy3g8a03zy0651 | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|pname = pentadecathlonon84p199 | |||
|position = center | |||
|viewerconfig = #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 460 ]] | |||
|caption = 96P2985 with [[pentadecathlon]] | |||
|style = width:300px; | |||
|apgcode = xp2985_y333yn33zyfooxooyi4r4zyzy54r4z66y5os8gybg8soy566zy913yb31z033yz33zggy5csa7yb7ascy5ggz11yzw11zyfccxcczzy333yn33 | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|pname = 30p25on84p199 | |||
|position = center | |||
|viewerconfig = #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 460 ]] | |||
|caption = 114P4975 with [[30P25]] | |||
|style = width:300px; | |||
|apgcode = xp4975_yc33y366y333zccyzy5ccy588ge2zye6kkgy4gkk6yi3a8c02zy4ggysggy4o88zy4hhyshhxo489x13zy411ys11w11zyec551y4155cz66yzy566zycooy3ccy3oo | |||
}}}} | |||
{{gallery bottom}} | |||
== Gallery == | |||
{{gallery top}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = x = 54, y = 53, rule = B3/S23 | |||
10b2o30b2o$9bobo30bobo$9bo34bo$7b2ob4o26b4ob2o$6bobobo2bo3b2o16b2o3bo | |||
2bobobo$6bobo8b2o4b2o4b2o4b2o8bobo$4b2o2bo13bo2bo2bo2bo13bo2b2o$3bo4b | |||
2o13bobo2bobo13b2o4bo$3b5o16bo4bo16b5o$b2o4bo38bo4b2o$o2b2o44b2o2bo$2o | |||
bo46bob2o$3bo46bo$3b2o44b2o2$19bo14bo$19b3o10b3o2$20b3o8b3o5$9b2o32b2o | |||
$9b2o32b2o4$9b2o32b2o$9b2o32b2o5$20b3o8b3o2$19b3o10b3o$19bo14bo2$3b2o | |||
44b2o$3bo46bo$2obo46bob2o$o2b2o44b2o2bo$b2o4bo38bo4b2o$3b5o16bo4bo16b | |||
5o$3bo4b2o13bobo2bobo13b2o4bo$4b2o2bo13bo2bo2bo2bo13bo2b2o$6bobo8b2o4b | |||
2o4b2o4b2o8bobo$6bobobo2bo3b2o16b2o3bo2bobobo$7b2ob4o26b4ob2o$9bo34bo | |||
$9bobo30bobo$10b2o30b2o! | |||
|position = center | |||
|viewerconfig = #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 460 ]] | |||
|caption = The original form, 248P199 | |||
|style = width:300px; | |||
|apgcode = xp199_y2g8o6pb8oxggycggxo8bp6o8gz0ggcaa9o74y311x2596w6952x11y347o9aacggz320f9yzy19f023zyf72o4y44o27zy5ooysoozy5ooysoozyhoy6ozxggya7201y41027yaggz6a8nkggoycgy0gycoggkn8a6zx122cgv1oggoxccx2543w3452xccxoggo1vgc221zy5346yq643 | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = x = 52, y = 45, rule = B3/S23 | |||
16b2o16b2o$16b2o4b2o4b2o4b2o$21bo2bo2bo2bo$16bo5bobo2bobo5bo$15bobo5b | |||
o4bo5bobo$14b2ob2o14b2ob2o$15bobo16bobo$2o12bo3bo14bo3bo12b2o$2o12b6o | |||
12b6o12b2o$15bo3bo12bo3bo$16bobo14bobo$15b2ob2o12b2ob2o$16bobo14bobo$ | |||
17bo16bo6$8b2o32b2o$8b2o32b2o4$8b2o32b2o$8b2o32b2o6$17bo16bo$16bobo14b | |||
obo$15b2ob2o12b2ob2o$16bobo14bobo$15bo3bo12bo3bo$2o12b6o12b6o12b2o$2o | |||
12bo3bo14bo3bo12b2o$15bobo16bobo$14b2ob2o14b2ob2o$15bobo5bo4bo5bobo$16b | |||
o5bobo2bobo5bo$21bo2bo2bo2bo$16b2o4b2o4b2o4b2o$16b2o16b2o! | |||
|position = center | |||
|viewerconfig = #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 460 ]] | |||
|caption = A reduction, 104P199. | |||
|style = width:300px; | |||
|apgcode = xp199_yc33x4aicwcia4x33zccyzy5cczye6kkgy4gkk6zy4ggysggzy4hhyshhzy411ys11zyec551y4155cz66yzy566zycoox4a96w69a4xoo | |||
}}}} | |||
== References == | |||
<references> | <references> | ||
<ref name="post147980">{{LinkForumThread | <ref name="post147980">{{LinkForumThread | ||
| Line 45: | Line 140: | ||
|channel = cgol | |channel = cgol | ||
|id = 994434100721090633 | |id = 994434100721090633 | ||
}}</ref> | |||
<ref name="post147992">{{LinkForumThread | |||
|format = ref | |||
|date = July 7, 2022 | |||
|p = 147992 | |||
|title = Re: Oscillator Discussion Thread | |||
|author = iNoMed | |||
}}</ref> | |||
<ref name="post147996">{{LinkForumThread | |||
|format = ref | |||
|date = July 7, 2022 | |||
|p = 147996 | |||
|title = Re: Oscillator Discussion Thread | |||
|author = Anivec | |||
}}</ref> | |||
<ref name="message994576174246264832>{{CiteDiscord | |||
|author = iNoMed | |||
|date = July 7, 2022 | |||
|channel = cgol | |||
|id = 994576174246264832 | |||
}}</ref> | |||
<ref name="skopje">[https://github.com/Parcly-Taxel/Skopje/blob/193038b663a129febb020f8578914e2d274fbe14/skopje/life.py Skopje repository (July 22, 2023)]</ref> | |||
<ref name="post192909">{{LinkForumThread | |||
|format = ref | |||
|date = August 25, 2024 | |||
|p = 192909 | |||
|title = Re: Smallest Known Oscillators to p106 (and Beyond) | |||
|author = Period1GliderGun | |||
}}</ref> | }}</ref> | ||
</references> | </references> | ||
==External links== | == External links == | ||
{{LinkCatagolue| | * {{LinkCatagolue|xp199_yc33y366y333zccyzy5cczye6kkgy4gkk6zy4ggysggzy4hhyshhzy411ys11zyec551y4155cz66yzy566zycooy3ccy3oo}} | ||
{{Sparker|p=199|type=domino|strength=strong|type2=dot|strength2=weak}} | |||
{{Sparker|p=199|type=domino|strength=strong}} | |||
[[Category:Pipsquirters]] | [[Category:Pipsquirters]] | ||
[[Category:R-pentomino hasslers|199]] | |||
[[Category:Lumps of muck hasslers]] | |||
[[Category:Unnamed periodic objects]] | [[Category:Unnamed periodic objects]] | ||
[[Category:Patterns discovered by pseudonymous users]] | |||
__NOTOC__ | |||
Latest revision as of 18:13, 16 January 2026
| 84P199 | |||||||||
| View static image | |||||||||
| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 84 | ||||||||
| Bounding box | 52 × 45 | ||||||||
| Period | 199 (mod: 199) | ||||||||
| Heat | 90.5 | ||||||||
| Volatility | 0.98 | 0.98 | ||||||||
| Kinetic symmetry | +e | ||||||||
| Discovered by | Mitchell Riley Luke Kiernan iNoMed | ||||||||
| Year of discovery | 2022 | ||||||||
| |||||||||
| |||||||||
| |||||||||
| |||||||||
84P199 (or p199 R-pentomino hassler) is a period-199 oscillator found by Mitchell Riley and Luke Kiernan on July 6, 2022 using a symmetric variant of CatForce. It hassles 4 R-pentominoes or 4 lumps of muck with 14 blocks. While its original 248-cell form (using eater 4 as a catalyst)[1] does not produce any useful sparks, its reduced form with 200 cells[2] (shown in reference), in addition to later versions, happens to function as a pipsquirter. Despite having relatively low clearance, the spark can still be used to form LCM oscillators.[3] It has since been reduced to its 104-cell form[4] and then to 84 cells.[5][6] It is currently the highest known prime-period oscillator that does not rely on glider or signal loops, surpassing 74P127 which was discovered just four days earlier.
LCM oscillators
The LCM oscillators below are listed due to being the smallest known ones by population while also satisfying the condition that at least one cell oscillates at the full period.[7]
| 115P398 with the same small P5 phase shifter also used in SKOP 18 (tied with P18 bi-block hassler), 63, and 108. The reaction is a phase shift.[8] (click above to open LifeViewer) Catagolue: here |
| 99P995 with pseudo-barberpole (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
| 96P2985 with pentadecathlon (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
Gallery
| The original form, 248P199 (click above to open LifeViewer) Catagolue: here |
| A reduction, 104P199. (click above to open LifeViewer) Catagolue: here |
References
- ↑ Mitchell Riley (July 6, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Mitchell Riley (July 6, 2022). Message in #cgol on the Conwaylife Lounge Discord server
- ↑ 83bismuth38 (July 6, 2022). Message in #cgol on the Conwaylife Lounge Discord server
- ↑ iNoMed (July 7, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ iNoMed (July 7, 2022). Message in #cgol on the Conwaylife Lounge Discord server
- ↑ Anivec (July 7, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Skopje repository (July 22, 2023)
- ↑ Period1GliderGun (August 25, 2024). Re: Smallest Known Oscillators to p106 (and Beyond) (discussion thread) at the ConwayLife.com forums
External links
- Patterns
- Oscillators with 84 cells
- Periodic objects with minimum population 84
- Patterns with 84 cells
- Patterns found by Mitchell Riley
- Patterns found by Luke Kiernan
- Patterns found by iNoMed
- Patterns found in 2022
- Patterns that can be constructed with 30 gliders
- Outer-totalistically endemic patterns
- Oscillators
- Oscillators with period 199
- Prime-period oscillators
- Oscillators with mod 199
- Oscillators with heat 90
- Oscillators with volatility 0.98
- Oscillators with strict volatility 0.98
- Oscillators with +e symmetry
- Sparkers
- Sparkers with period 199
- Domino sparkers
- Strong sparkers
- Dot sparkers
- Weak sparkers
- Pipsquirters
- R-pentomino hasslers
- Lumps of muck hasslers
- Unnamed periodic objects
- Patterns discovered by pseudonymous users