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active region mentioned in Lifeline Volume 8, page 5
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{{Oscillator
{{Oscillator
|name        = 115P106
|name        = 66P106
|pname        = 115p106
|pname        = 66p106
|c            = 115
|c            = 66
|bx          = 42
|bx          = 36
|by          = 29
|by          = 21
|p            = 106
|p            = 106
|m            = 53
|m            = 53
|h            = 43.9
|h            = 60.7
|v            = 0.81
|v            = 0.89
|sv          = 0.81
|sv          = 0.78
|discoverer  = Nico Brown
|symmetry    = n.e
|discoverer  = Nora Brown
|discoverer2  = Carson Cheng
|discoverer3  = iNoMed
|discoveryear = 2022
|discoveryear = 2022
|rulemin      = B3/S23
|rulemin      = B3/S23
|rulemax      = B3/S23
|rulemax      = B3/S23
|isorulemin  = B3/S23
|isorulemin  = B3-k/S23
|isorulemax  = B3/S235k7c
|isorulemax  = B34q6c7c/S235k6e
|rle          = true
|rle          = true
|plaintext    = true
|plaintext    = true
|apgcode      = xp106_y0133204440gcg8z8oy91z0123y14c4z178cy1252y131e8zydc4ozy0gg8y811zy1211w7wc2gc
|synthesis    = 29
|viewerconfig = #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 2 ZOOM 12 GPS 12 ]]
}}
'''66P106''' is the smallest known {{period|106}} [[oscillator]].
The original form, 115P106, was discovered by [[Nora Brown]] on October 1, {{year|2022}}.<ref name="post151619" /> In the oscillator, an unnamed reaction is [[hassle]]d by two [[traffic stop]]s, two [[traffic light]] [[eater]]s that are present in [[AK94]], and four [[eater 1]]s. With minimum population 115 cells, it became the smallest known period-106 oscillator, beating the record previously held by the 169-cell [[Rectifier|p106 rectifier loop]].
On September 24, 2023, [[Carson Cheng]] found a period-2 traffic light catalyst consisting of a [[toad]], a [[clock]], and a [[Transparent catalyst|transparent]] [[blinker]], which [[iNoMed]] used to reduce the oscillator from 115 cells to 66.
An eight-bit predecessor of the engine is mentioned without a name in [[Lifeline_Volume_8#Page_5|Lifeline Volume 8, page 5]].
{{EmbedViewer
|pname        = 115p106
|viewerconfig = #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 2 ZOOM 12 GPS 12 ]]
|position    = center
|caption      = 115P106, the original 115-cell form
|style        = width:300px;
|apgcode      = xp106_y4696o8b9czy565x33y3szy04s0gy7222x222zy0gg11y12m2y1ggw6a8ozc88g0346y1121y11074zw1hosogy962sgzyeggzy9rb88ci9gzya23w121
|apgcode      = xp106_y4696o8b9czy565x33y3szy04s0gy7222x222zy0gg11y12m2y1ggw6a8ozc88g0346y1121y11074zw1hosogy962sgzyeggzy9rb88ci9gzya23w121
|synthesis    = 58
|viewerconfig = #C [[ ZOOM 8 GPS 12 ]]
}}
}}
'''115P106''' is the smallest known {{period|106}} [[oscillator]], discovered by [[Nico Brown]] on October 1, {{year|2022}}.<ref name="post151619" /> It consists of an unnamed active region being [[hassle]]d by two [[traffic stop]]s, two [[catalyst]]s that are present in [[AK94]], and four [[eater 1]]s.


The active region is mentioned without a name in [[Lifeline Volume 8]], page 5.
== Glider synthesis ==
A {{gliders|60}} [[Glider synthesis|synthesis]] for 115P106 was found by [[Chris857]] on the day after its discovery<ref name="post151634" /> which was then improved to {{gliders|58|text=58 gliders}}.<ref name="post151699"/> Chris857 also synthesized a smaller and cheaper variant that has two [[fumarole]]s at both ends;<ref name="post151706" /> they remove [[blinker]]s with their domino sparks, but increase the overall period to {{eq|{{times|106|5}}|530}}.


A {{gliders|60}} [[Glider synthesis|synthesis]] for 115P106 was found by [[Chris857]] on the next day<ref name="post151634" /> which was then improved to {{gliders|58|text=58 gliders}}.<ref name="post151699"/> Chris857 also synthesized a smaller and cheaper variant that has two [[fumarole]]s at both ends;<ref name="post151706" /> they remove [[blinker]]s with their domino sparks, but increase the overall period to {{eq|{{times|106|5}}|530}}.
On September 25, {{year|2023}}, [[Chris857]] found a {{gliders|33}} synthesis of 66P106, which he quickly improved to {{gliders|32|text=32 gliders}}.<ref name="post167277"/><ref name="j5154514610"/><ref name="j5162438422"/> [[KtT]] lowered the cost of 66P106 to {{gliders|29|text=29 gliders}} on April 29, {{year|2025}}.<ref name="post210858"/><ref name="j9864040332"/>


==References==
== References ==
<references>
<references>
<ref name="j5154514610">{{CiteCatagolueJob|job=5154514610|date=September 25, 2023}}</ref>
<ref name="j5162438422">{{CiteCatagolueJob|job=5162438422|date=September 26, 2023}}</ref>
<ref name="j9864040332">{{CiteCatagolueJob|job=9864040332|date=April 29, 2025}}</ref>
<ref name="post151619">{{LinkForumThread
<ref name="post151619">{{LinkForumThread
|format    = ref
|format    = ref
Line 57: Line 79:
|author    = Chris857
|author    = Chris857
|date      = October 3, 2022
|date      = October 3, 2022
}}</ref>
<ref name="post167277">{{LinkForumThread
|format = ref
|p      = 167277
|title  = Re: Synthesising Oscillators
|author = Chris857
|date  = September 17, 2023<!--date of post-->
}}</ref>
<ref name="post210858">{{LinkForumThread
|format = ref
|p      = 210858
|title  = Re: Synthesising Oscillators
|author = KtT
|date  = April 29, 2025
}}</ref>
}}</ref>
</references>
</references>


==External links==
== External links ==
* {{LinkCatagolue|xp106_y4696o8b9czy565x33y3szy04s0gy7222x222zy0gg11y12m2y1ggw6a8ozc88g0346y1121y11074zw1hosogy962sgzyeggzy9rb88ci9gzya23w121}}
* {{LinkCatagolue|xp106_y0133204440gcg8z8oy91z0123y14c4z178cy1252y131e8zydc4ozy0gg8y811zy1211w7wc2gc|patternname=66P106}}
* {{LinkCatagolue|xp530_y13pmwmp3zy411z8ox33y333z0123y14c4z178cy1252y131e8zydc4ozy1ccy3ccx11zy2gg88ggzy1c96w69c|patternname=88P530}} (fumarole-supported version)
* {{LinkCatagolue|xp106_y4696o8b9czy565x33y3szy04s0gy7222x222zy0gg11y12m2y1ggw6a8ozc88g0346y1121y11074zw1hosogy962sgzyeggzy9rb88ci9gzya23w121|patternname=115P106}}
* {{LinkCatagolue|xp530_y13pmwmp3zy411z8ox33y333z0123y14c4z178cy1252y131e8zydc4ozy1ccy3ccx11zy2gg88ggzy1c96w69c|patternname=88P530}} (fumarole-supported version of 115P106)


[[Category:Unnamed periodic objects]]
[[Category:Unnamed periodic objects]]
{{Symmetry|osc=turn180}}

Latest revision as of 16:05, 23 March 2026

66P106
x = 35, y = 21, rule = B3/S23 18bo6bo$16b3o4b3o$15bo6bo$15b2o5b2o$3bo28b2o$4b2o28bo$2b2o27bo$4bo27b 2o2$2bo9bo3bo$2bo9bobobobo11b3o$2bo9bo3bo2$bo28bo$2o26bobo$2o27bobo$o 28bo$10b2o5b2o$11bo6bo$8b3o4b3o$8bo6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 2 ZOOM 12 GPS 12 ]]
View static image
Pattern type Oscillator
Number of cells 66
Bounding box 36 × 21
Period 106 (mod: 53)
Heat 60.7
Volatility 0.89 | 0.78
Kinetic symmetry n.e
Discovered by Nora Brown
Carson Cheng
iNoMed
Year of discovery 2022

66P106 is the smallest known period-106 oscillator.

The original form, 115P106, was discovered by Nora Brown on October 1, 2022.[1] In the oscillator, an unnamed reaction is hassled by two traffic stops, two traffic light eaters that are present in AK94, and four eater 1s. With minimum population 115 cells, it became the smallest known period-106 oscillator, beating the record previously held by the 169-cell p106 rectifier loop.

On September 24, 2023, Carson Cheng found a period-2 traffic light catalyst consisting of a toad, a clock, and a transparent blinker, which iNoMed used to reduce the oscillator from 115 cells to 66.

An eight-bit predecessor of the engine is mentioned without a name in Lifeline Volume 8, page 5.

x = 42, y = 29, rule = B3/S23 18b2o$18bo$16bobo$11b2o3b2o$13bo8bo6bo$14bo5b3o4b3o$11bobo5bo6bo$12bo 6b2o5b2o$39b2o$34b2o2bo2bo$34bobo2b2o$37b2o$38bo$2b2ob2o13bobobo13bob 2o$o2bob2o14bo3b2o8b2obo2bo$2obo16bobobo10b2ob2o$3bo$3b2o$b2o2bobo$o2b o2b2o$b2o26b3o$14b2o5b2o$15bo6bo10bo$12b3o4b3o11bo$12bo6bo13bo$24b2o$ 23bobo3b3o$23bo$22b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 2 ZOOM 12 GPS 12 ]]
115P106, the original 115-cell form
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here

Glider synthesis

A 60-glider synthesis for 115P106 was found by Chris857 on the day after its discovery[2] which was then improved to 58 gliders.[3] Chris857 also synthesized a smaller and cheaper variant that has two fumaroles at both ends;[4] they remove blinkers with their domino sparks, but increase the overall period to 106 × 5 = 530.

On September 25, 2023, Chris857 found a 33-glider synthesis of 66P106, which he quickly improved to 32 gliders.[5][6][7] KtT lowered the cost of 66P106 to 29 gliders on April 29, 2025.[8][9]

References

  1. ↑ Carson Cheng (October 1, 2022). Re: Oscillator Discoveries Thread (discussion thread) at the ConwayLife.com forums
  2. ↑ Chris857 (October 2, 2022). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  3. ↑ Chris857 (October 3, 2022). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  4. ↑ Chris857 (October 3, 2022). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  5. ↑ Chris857 (September 17, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  6. ↑ shinjuku (#5154514610) (September 25, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  7. ↑ shinjuku (#5162438422) (September 26, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  8. ↑ KtT (April 29, 2025). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  9. ↑ shinjuku (#9864040332) (April 29, 2025). Job triggered by Adam P. Goucher at GitLab Catagolue project.
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