P59 dependent reflector loop: Difference between revisions

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|v            = 0.84
|v            = 0.84
|symmetry    = rc
|symmetry    = rc
|discoverer  = Nico Brown
|discoverer  = Nora Brown
|discoveryear = 2022
|discoveryear = 2022
|rulemin      = B3/S23
|rulemin      = B3/S23
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|viewerconfig = #C [[ WIDTH 700 HEIGHT 700 THUMBSIZE 3 ZOOM 12 GPS 30 ]]
|viewerconfig = #C [[ WIDTH 700 HEIGHT 700 THUMBSIZE 3 ZOOM 12 GPS 30 ]]
}}{{stub}}
}}{{stub}}
The '''p59 dependent reflector loop''' is a {{period|59}} oscillator discovered by Nico Brown on November 18, {{year|2022}}.<ref name="post153770" /> It consists of four copies of a p59 [[dependent reflector]]. The oscillator can be described as a [[honey farm hassler]], as in some phases the active part consists of four copies of a honey farm sequence.
The '''p59 dependent reflector loop''' is a {{period|59}} oscillator discovered by Nora Brown on November 18, {{year|2022}}.<ref name="post153770" /> It consists of four copies of a p59 [[dependent reflector]]. The oscillator can be described as a [[honey farm hassler]], as in some phases the active part consists of four copies of a honey farm sequence.


== Glider synthesis ==
== Glider synthesis ==
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|p      = 153770
|p      = 153770
|title  = Re: Oscillator Discussion Thread
|title  = Re: Oscillator Discussion Thread
|author = Nico Brown
|author = Nora Brown
|date  = November 18, 2022
|date  = November 18, 2022
}}</ref>
}}</ref>

Latest revision as of 16:48, 23 March 2026

For the other p59 dependent reflector loop, see Dependent reflector#p59.
p59 dependent reflector loop
x = 53, y = 53, rule = B3/S23 26bo$25bobo$25bob3o$22b2obo4bo$22bobobobobo$24bobob2o4b2o$10b2o11bobo 8bo$11bo12bo7bobo$11bobo18b2o$12b2o7b3o12b2o$20bo3bo11b2o8bo$19bo5bo18b 3o$19bo5bo17bo$19bo5bo17b2o$20bo3bo$9b2o10b3o$9b2o$5bo$5b3o$8bo15b2o4b 2o7b3o$7b2o15bo5b2o6bo3bo$19b2o4b3o9bo5bo$3b2o14b2o6bo9bo5bo4b2o$2bo2b o31bo5bo2bo2bo$2bob2o26b2o4bo3bo2bob2o$b2o18b2o8bobo5b3o4bo2b3o$o3b2o 15bo9bo15b2o3bo$b3o2bo4b3o5bobo8b2o18b2o$4b2obo2bo3bo4b2o26b2obo$3bo2b o2bo5bo31bo2bo$3b2o4bo5bo9bo6b2o14b2o$9bo5bo9b3o4b2o$10bo3bo6b2o5bo15b 2o$11b3o7b2o4b2o15bo$45b3o$47bo$42b2o$29b3o10b2o$28bo3bo$8b2o17bo5bo$ 9bo17bo5bo$6b3o18bo5bo$6bo8b2o11bo3bo$15b2o12b3o7b2o$19b2o18bobo$18bo bo7bo12bo$18bo8bobo11b2o$17b2o4b2obobo$22bobobobobo$22bo4bob2o$23b3ob o$25bobo$26bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ WIDTH 700 HEIGHT 700 THUMBSIZE 3 ZOOM 12 GPS 30 ]]
View static image
Pattern type Oscillator
Number of cells 236
Bounding box 53 × 53
Period 59 (mod: 59)
Heat 74.6
Volatility 0.84 | 0.84
Kinetic symmetry rc
Discovered by Nora Brown
Year of discovery 2022
This article is a stub. You can help LifeWiki by expanding it.

The p59 dependent reflector loop is a period-59 oscillator discovered by Nora Brown on November 18, 2022.[1] It consists of four copies of a p59 dependent reflector. The oscillator can be described as a honey farm hassler, as in some phases the active part consists of four copies of a honey farm sequence.

Glider synthesis

Chris857 found a 141-glider synthesis of the oscillator on June 23, 2023,[2][3] which he reduced to 137 gliders on July 12, 2023.[4][5] KtT lowered the cost to 136 gliders on December 4, 2023,[6] to 132 gliders on February 18, 2025,[7][8] and then to 124 gliders on June 30, 2025.[9][10]

Other uses of the dependent reflector

Matthias Merzenich used the p59 dependent reflector to reduce the smallest known true period 59 glider gun from a 14592-cell bounding box[11] to a 11782-cell bounding box, as shown below.[12]

x = 86, y = 137, rule = B3/S23 51b2o$50bobo$44b2o4bo$42bo2bo2b2ob4o$42b2obobo3bo2bo$45bobobobo$45bobo b2o$46bo2$59b2o$50bo8bo$50b2o5bobo$57b2o$44bo$43bo$43b3o4$47b2o$48bo$ 45b3o10bo$45bo11b2o$57bobo5$30bo$28b2o$29b2o3$81b2o$9bo71bo$9b3o59b2o 10bo$12bo50b2o5b3o6b5o$11b2o51bo6bobo4bo$64bobo3b4o5b3o$65b2o3b3ob2o6b o$3b2o64bo2bobo2b6o$3bo65bo2bo2bob3o3b2o$2obo65b2o3bo2bo2b3o2bo$o2b3o 4b2o2bo59b2o6bob2o$b2o3bo3b2o2bobo36bo14bo2b3o8bo$3b4o7b2o28bo8b3o12bo 4bo7b2o$3bo15b2o23b3o9bo$4b3o12bobo2b2o21bo7b2o13bo3bo$7bo13bo2bo21b2o 26bo$2b5o14b2obo36bo11bo$2bo19bob2o2b2o30b3o11b3o$4bo17bo4bobo29b2obo 13bo$3b2o18b3obo30b2o$25bob2o29b2o$69bo$45b2o21bobo$44b2ob2o15bo6bo$ 21bobo5b2o3b2o8b2ob2o15b4o2bo$22b2o6b2o2b2o10b3o12bo6b2o$22bo6bo30b2ob o4bo9b2o$61b4o2bo9bobo$57b2o4b3o12bo$43bo3b2o7bobo$42bobo3bo7bo$41bobo 3bo7b2o$41bo4bo$29b2obo7b2o5b3o$7b2o20b2ob3o14bo$8bo26bo38b2o4b2obo$6b o22b2ob3o37b2o2bo3bob2o$6b5o14b2o3bobo40bob2o$11bo13bo4bobo37b2ob2o$8b 3o6b3o3bobo5bo38b3o$7bo8bo3bo2b2o45bo$7b4o4bo5bo48b2o2bo$5b2o3bo4bo5bo 49b3o$4bo2b3o5bo5bo50bo$4b2obo8bo3bo$7bo9b3o$7b2o2$36bo$15b2o17b3o$16b o16bo29bo$13b3o17b2o28b3o$13bo16bo35bo$29b2o6b2o26bobo$29bobo4bo2bo26b o4b3o9b2o$36b2obo31bo11bo$19b2o18b2o23bo7bo8bobo$20bo15b2o3bo21bobobo 9bo3b2o$20bobo12bo2b3o22bo2b2o7bo2bo$21b2o11bob2o24b2o10bo4bo$26b2o7bo 2bo34bo5bo$24b2o11b2o37b2ob2o$20bo3b2ob3o44bob2o$19bobo3b2ob3o43bo2b2o 5b2o$19bo5bo3bo45b3o6bo$20bo3b4obo35bo10bo5bobo$21bo7bo35b3o14b2o$23bo bob2o39bo$24b2ob2o38b2o$10bo15bo44bo$10b3o19b2o36bobo$13bo4b2o12bo37bo 2bo$12b2o5b2o12b3o35b2o$18bo6b2o8bo$8b2o15b2o$7bo2bo$7bob2o27bo33bo12b o$6b2o18b2o10b3o30bob2o8bobo$5bo3b2o15bo14bo28b2o3bo8b2o$6b3o2bo12bobo 13bo25b2o3bo$9b2obo11b2o14bo2bo2bobo11b2o5b2o2bo3bo$8bo2bo8b2o21bo20b 2obo3bo$8b2o10b2o8bo6b2o2bo2b2o11bo6bo6bo$30b3o4b2o5b4o10bo5bobo$26b2o 5bo11bo7bo3bobo5b2o5b2o$17bo8b2o4b2o6bo3bo8bo$17bo$18bo4bo16b3o26bo$ 16b2o5bo10b2o11b2o19bobo$16bobo15b2o12bo20b2o$60b2o$13b2o3bo6bo14bobob o16bo$14bo23b2obo18bo$11b3o27b2o17b2o$11bo9bo$20b2o22b2o$24b2o18bobo$ 23bobo7bo12bo$23bo8bobo11b2o$22b2o4b2obobo$27bobobobobo$27bo4bobobo$ 28b3obobobo$30b2o3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 6 WIDTH 700 HEIGHT 900 GPS 20 THEME Book AUTOSTART KILLGLIDERS ]]
A period 59 glider gun with bounding box 137 × 86[12]
(click above to open LifeViewer)
Catagolue: here

References

  1. ↑ Nora Brown (November 18, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. ↑ shinjuku (#4527046372) (June 23, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  3. ↑ Chris857 (June 23, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  4. ↑ Chris857 (July 9, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  5. ↑ shinjuku (#4636812987) (July 12, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  6. ↑ KtT (December 4, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  7. ↑ KtT (February 18, 2025). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  8. ↑ shinjuku (#9173746070) (February 18, 2025). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  9. ↑ KtT (June 30, 2025). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  10. ↑ shinjuku (#10521443006) (July 1, 2025). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  11. ↑ "guntrue_59 costs 14592 cells". Catagolue (November 2, 2022).
  12. ↑ 12.0 12.1 Matthias Merzenich (November 18, 2022). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums
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