P49 bouncer loop: Difference between revisions

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Line 11: Line 11:
|v            = 0.58
|v            = 0.58
|sv          = 0.41
|sv          = 0.41
|symmetry    = .c
|discoverer  = Noam Elkies
|discoverer  = Noam Elkies
|discoveryear = 1999
|discoveryear = 1999
Line 18: Line 19:
|isorulemax  = B34e5a6c7c/S234cz5ek6ae78
|isorulemax  = B34e5a6c7c/S234cz5ek6ae78
|rle          = true
|rle          = true
|animated    = true
|apgcode      = xp49_yh3iajaqjk46zygg2v0er8q6he8zygp9gf8ck3sj2y2ca23y58owo8wgy0ggzyjd55d2ody0256wccwgg0iu0uheq229t5d9lq0v4zym321ya1226414622d55pab430e91zyp361y5634xok8zy62egox66ynccx31e8zyb253x4ocy5gcozgie0o4qajkkm88c4g4c88gyag8oz4v0blimkni88behf0f9011w66wck8y0m38mkkmz11y01w23w32y5o8a6y28p7o562u1ijzyt2ehcb2re0v81zyuc45pbapa9o
|apgcode      = xp49_yh3iajaqjk46zygg2v0er8q6he8zygp9gf8ck3sj2y2ca23y58owo8wgy0ggzyjd55d2ody0256wccwgg0iu0uheq229t5d9lq0v4zym321ya1226414622d55pab430e91zyp361y5634xok8zy62egox66ynccx31e8zyb253x4ocy5gcozgie0o4qajkkm88c4g4c88gyag8oz4v0blimkni88behf0f9011w66wck8y0m38mkkmz11y01w23w32y5o8a6y28p7o562u1ijzyt2ehcb2re0v81zyuc45pbapa9o
|viewerconfig = #C [[ GPS 7 THUMBZOOM 8 HEIGHT 550 ]]
|viewerconfig = #C [[ GPS 7 THUMBZOOM 8 HEIGHT 550 ]]
}}
}}
The '''p49 bouncer loop''' is a {{period|49}} [[oscillator]] discovered in its original form by [[Noam Elkies]] on August 1, {{year|1999}},<ref>{{cite web|url=http://entropymine.com/jason/life/status.html |title=Game of Life Status page |accessdate=April 9, 2009}}</ref> and was the first period 49 oscillator to be found.<ref>{{CiteSummersPattern|name=jslife|accessdate=April 9, 2009}}</ref> It consists of four [[p7 bouncer]]s [[reflect]]ing four gliders around a period-49 track. On January 24, {{year|2003}}, [[Karel Suhajda]] found a slightly smaller [[p7 pipsquirter]], giving a {{cells|400|text=400-cell}} variant of the oscillator. Suhajda's variant was the smallest known period-49 oscillator until the discovery of [[Snark]]-based [[adjustable glider loop]]s in {{year|2013}}.
The '''p49 bouncer loop''' is a {{period|49}} [[oscillator]] discovered in its original form by [[Noam Elkies]] on August 1, {{year|1999}},<ref>{{cite web|url=http://entropymine.com/jason/life/status.html|title=Game of Life Status page |accessdate=April 9, 2009}}</ref> and was the first period 49 oscillator to be found,<ref>{{CiteSummersPattern|name=jslife|accessdate=April 9, 2009}}</ref> though variations allow all periods of the form <tt>{{LinkCatagolue|xp28_xgg0gg09f0s4y9gy1o8bp6o8gozg88ml0b831dhgv1eoy1g06511y560aq6gwgz11074y1rq2u1t6y0123w66wgbb8fhe998r45d11zy08oy1oo01w8oky06a2y0113212311zy112308kcy1gy7gcowca40ggzy4gg0ggw123y1gy566x1074zwc88m555s3s5ll2woke7313gxoe1ugmmy18oz3113onk1p011011y18o33y16t1u22d0g4k0ar453zy06246o6k46y1311y619e1t5123032zy511yk11|name=28|style=raw}}+7*n</tt>.
 
It consists of four [[p7 bouncer]]s [[reflect]]ing four gliders around a period-49 track. On January 24, {{year|2003}}, [[Karel Suhajda]] found a slightly smaller [[p7 pipsquirter]], giving a {{cells|400|text=400-cell}} variant of the oscillator. Suhajda's variant was the smallest known period-49 oscillator until the discovery of [[Snark]]-based [[adjustable glider loop]]s in {{year|2013}}.


{{gallery item|{{EmbedViewer
{{gallery item|{{EmbedViewer
Line 43: Line 47:
|caption      = 400-cell variant found by Karel Suhajda on January 24, 2003
|caption      = 400-cell variant found by Karel Suhajda on January 24, 2003
|style        = width:300px;
|style        = width:300px;
|apgcode      = xp49_yhg88c88q596zyh1i9dgn0qbzyg3egf8ck3si3y2ca23y6ggo8y0ggzyjd55d2ody0256wccwgg0iu0uheq22p6khm0v4zym321ya1226414622d92606415a96zyp361y5634xok8zy62egox66ynccx31e8zyb253x4ocy5gcozciakg4c0c8im88c4g4c88gyag8ozw4v0dh5cj88behf0f9011w66wck8y0m38mkkmzy011y02311y6o8a6y2o97o562u1eozyvqb0t1mi9gzyucikb226221
}}}}
}}}}
{{gallery item|{{EmbedViewer
{{gallery item|{{EmbedViewer
|viewerconfig = #C [[ THUMBZOOM 10 HEIGHT 550 ]]
|viewerconfig = #C [[ THUMBZOOM 10 HEIGHT 550 ]]
|rle          = x = 53, y = 49, rule = B3/S23
|rle          = x = 53, y = 49, rule = B3/S23
b2o4b2ob2o$2bo4bob2obo$2bob2obo4bo14bo$2o2bobob4ob2o10b3o$bobo2bo4bo3b
5bo$4bobo3b2o$3bo2bo3bo9bo$3bobob2obo9b3o7b2o$4b2obobo13bo6bo3b2o$22b
o8bo$o2b2obo3bo2bobo8b2o11bobo$b2o3bo4bo3b2o17bo2b2obo$3b2o2bo4b2o8bo
2o8bo2bo$4b5o22b2obo$4bo2b2o16bo8b4o8bo$2o3bo18bobob2o2b2o4bo5b3o$o2b
11b3o3bo$3bo5bo4b2o2b2obobo14b2ob2o$5bo4b4o8b2o2b2o8b2obobo2bo$4b2o7bo
obo14b2o2b2o8b2o4bo2bo$2b2obobo2b2ob2o5b2o9b2o3bo4bo2bo$5b4o2bob2o17b
b2o9b2o8bo6b2o$10b2obobo21b4o$10b2obobo18b3o4bo$14bo19bo2bo$35bobo4bo$
obo2bo3bob2o$2b3o2bobobo20bo3bo4bo3b2o$2bo2b2ob2ob4o18b2ob4obob2o2bo$
18bobo13b2obobo3bob2o$4b2o5b2o5b2o14bo2b2obo2bob2o$5bo5b2o6bo15b2o4bob
5bo4bo4bo19bo4b2obo2bo$6b3o3b3o20bob2o5b2o$8b2ob2o6b2o13b2obo$20b2o17b
o$5bobo29bobobob4o$6b2o23bo5bo4bo4bo$10b2o18b2o6b3obob3o$9bobo18bobo7b
o$19bo11bo6b2o$32b2o$31b2o$10bo29b2o5b2o$9bobo28b2o5bo$10b2o33bobo$6b
o3bo$10bo$42bo$10bo31bo$10bo$42bo$8bo3bo7bobo18bobo$6b3obob3o6b2o18b2o
2o37b2o$5bobo33b2o$5bo5b2o28bobo$4b2o5b2o29bo$20b2o$19b2o$13b2o6bo11b
$5bo4bo4bo5bo23b2o$6b4obobobo29bobo$9bobo4b2o15bo6b2o5bo$6b2obo2bob2o
o$13bo17b2o$15bob2o13b2o6b2ob2o$7b2o5b2obo20b3o3b3o$6bo2bob2o4bo19bo4b
2bo14b2o5b2o5b2o$6b2obo3bobob2o13bobo$10bo4bobo$15bo2bo19bo$11bo4b3o
o4bo$5bo2b2obob4ob2o18b4ob2ob2o2bo$6b2o3bo4bo3bo20bobobo2b3o$8b2obo3b
18bobob2o$12b4o21bobob2o$8b2o6bo8b2o9b2obo7b2o$8bo2bobob2o8b2o2b2o8b4o
o2bobo17b2obo2b4o$8bo2bo4bo3b2o9b2o5b2ob2o2bobob2o$9bo2bo4b2o8b2o2b2o
4bo$10b2ob2o14bobob2o2b2o4bo5bo$12bo3b3o11bo8b2o4bo2b2o$12bob2o2bo17b
14bobo2bo$6b3o5bo4b2o2b2obobo18bo3b2o$6bo8b4o8bo16b2o2bo$18bob2o22b5o
2o3bo4bo3b2o$13bobo11b2o8bobo2bo3bob2o2bo$28bo8bo3bo4bo2bobo$25b3o10b
$17bo2bo8b2o$17b2o3bo6bo13bobob2o$21b2o7b3o9bob2obobo$32bo9bo3bo2bo$41b
2ob4obobo2b2o$25bo14bo4bob2obo$40bob2obo4bo$41b2ob2o4b2o!
2o3bobo$47bo!
|position    = center
|position    = center
|caption      = 380-cell {{times|53|49}} variant using a smaller p7 pipsquirter found by [[Dongook Lee]] on November 20, {{year|2019}}
|caption      = 370-cell {{times|53|49}} variant using a stator variant<ref>{{LinkForumThread|f=2|t=1437|p=85644|title=Re: Oscillator Discussion Thread|author=BlinkerSpawn|date=November 22, 2019|format=raw}}, 69 cells in {{times|16|20}}</ref> of a smaller p7 pipsquirter found by [[Dongook Lee]] on November 20, {{year|2019}}<ref>{{LinkForumThread|f=2|t=1437|p=85532|title=Re: Oscillator Discussion Thread|author=Scorbie|date=November 20, 2019|format=raw}}, 77 cells in {{times|14|20}}</ref>
|style        = width:300px;
|style        = width:300px;
|apgcode      = xp49_0g88g0gg39c0s4y9gz122dlc5035pjkv1eoy1g06511y1cip6o8ge2z0311y2rq2u1t7y0123w66wo80g6qa06zya1y5634y1d54r899ehf84czw178cwgj30og8yh1132123146zy3121x1yggcowca40ggzx3h4micimkkowgyh66x1074zy011074344gu1d5gox163y4o4o0oozy4g8jo2qbgy133w6a4y0vl4raauy0g8k46zy323x3421y1c453y4347p6kl68d1dlia4zyv110146
}}}}
}}}}


==References==
== References ==
<references/>
<references/>


==External links==
== External links ==
* {{LinkCatagolue|xp49_yhg88c88q596zyh1i9dgn0qbzyg3egf8ck3si3y2ca23y6ggo8y0ggzyjd55d2ody0256wccwgg0iu0uheq22p6khm0v4zym321ya1226414622d92606415a96zyp361y5634xok8zy62egox66ynccx31e8zyb253x4ocy5gcozciakg4c0c8im88c4g4c88gyag8ozw4v0dh5cj88behf0f9011w66wck8y0m38mkkmzy011y02311y6o8a6y2o97o562u1eozyvqb0t1mi9gzyucikb226221|format=extended|patternname=p49 bouncer loop}}
* {{LinkCatagolue|xp49_yhg88c88q596zyh1i9dgn0qbzyg3egf8ck3si3y2ca23y6ggo8y0ggzyjd55d2ody0256wccwgg0iu0uheq22p6khm0v4zym321ya1226414622d92606415a96zyp361y5634xok8zy62egox66ynccx31e8zyb253x4ocy5gcozciakg4c0c8im88c4g4c88gyag8ozw4v0dh5cj88behf0f9011w66wck8y0m38mkkmzy011y02311y6o8a6y2o97o562u1eozyvqb0t1mi9gzyucikb226221|format=extended|patternname=p49 bouncer loop}}


{{Symmetry|180degree}}
{{dtlc1}}
{{dtlc1}}

Latest revision as of 18:44, 6 August 2024

p49 bouncer loop
x = 65, y = 65, rule = B3/S23 14bo2bo2bo$14b7o2bo$21b3o$16b4o$15bobo2b2o$15bo6bo$14b2ob5obo$15bo5bob o$15bobo2bo2b2o$13bobo2bobobo$13b2ob2o2bobo10bo$16bo3bob2o7b3o$16bob2o bo8bo$13b2obo4bo8b2o$13bobo3bob2o$16b4o2bo5bo$20b2o5bobo$16b4o2bo5b2o 2b2o$16bo2bob2o9b2o$21bo$19bobo28b2o2b2o$19b2o5bo24bo2bo3bo4b2o$25bo 24bo4b6o2bo$25b3o18b2obob4o6bobo$10b2o5b2o28bobo4bobobob2ob2o$11bo5b2o 28bobo2bo2bo2bo2bobo$11bobo29b2ob2ob2obo5bo2bobo$12b2o29bo4bo4b4obobo 2b2o$16b2o26b3obob3o4b2obobo$15bobo19b3o6b2ob2o2b3o3bo2bo$16bo20bo15bo 2b3o3b2o$38bo17bo2$8bo17bo$b2o3b3o2bo15bo20bo$2bo2bo3b3o2b2ob2o6b3o19b obo$2bobob2o4b3obob3o26b2o$2o2bobob4o4bo4bo29b2o$bobo2bo5bob2ob2ob2o 29bobo$bobo2bo2bo2bo2bobo28b2o5bo$2ob2obobobo4bobo28b2o5b2o$bobo6b4obo b2o18b3o$bo2b6o4bo24bo$2o4bo3bo2bo24bo5b2o$9b2o2b2o28bobo$43bo$31b2o9b 2obo2bo$31b2o2b2o5bo2b4o$35bobo5b2o$36bo5bo2b4o$42b2obo3bobo$33b2o8bo 4bob2o$34bo8bob2obo$31b3o7b2obo3bo$31bo10bobo2b2ob2o$42bobobo2bobo$40b 2o2bo2bobo$41bobo5bo$41bob5ob2o$42bo6bo$43b2o2bobo$45b4o$41b3o$41bo2b 7o$44bo2bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 7 THUMBZOOM 8 HEIGHT 550 ]]
View animated image
View static image
Pattern type Oscillator
Oscillator type Relay
Number of cells 440
Bounding box 65 × 65
Period 49 (mod: 49)
Heat 84.6
Volatility 0.58 | 0.41
Kinetic symmetry .c
Discovered by Noam Elkies
Year of discovery 1999

The p49 bouncer loop is a period-49 oscillator discovered in its original form by Noam Elkies on August 1, 1999,[1] and was the first period 49 oscillator to be found,[2] though variations allow all periods of the form 28+7*n.

It consists of four p7 bouncers reflecting four gliders around a period-49 track. On January 24, 2003, Karel Suhajda found a slightly smaller p7 pipsquirter, giving a 400-cell variant of the oscillator. Suhajda's variant was the smallest known period-49 oscillator until the discovery of Snark-based adjustable glider loops in 2013.

x = 65, y = 65, rule = B3/S23 21b2o$20bo2bo$17bo3bobo$15b6obo$14bo5bo$14bob2obo2bo$15bo3bob2o$17bob o$16b2o3b2o$15bo2b2obo$13bo2bo3bo2bo9bo$13b2obo3bob2o7b3o$14bobob2obo 8bo$14bob3o2bo8b2o$15bo3bob2o$16b4o2bo5bo$20bo6bobo$16b4o2bo5b2o2b2o$ 16bo2bob2o9b2o$21bo$19bobo31b2o$19b2o6bo23b3o5b2o$25b2o23bo4bo2bo2bo$ 26b2o18b2obob4obo2bobo$10b2o5b2o28bobobo4b2obob2o$11bo5b2o28bobob2o2b o5bo$11bobo29b2ob2ob2obo2bob3obo$12b2o29bo4bo4b2o5b2obo$16b2o26b3o3b3o 2b2obo3bobo$15bobo20b2o6b2ob2o2bo2bob2obo2bo$16bo20b2o14b2o7b2o$39bo2$ 25bo$b2o7b2o14b2o20bo$o2bob2obo2bo2b2ob2o6b2o20bobo$obo3bob2o2b3o3b3o 26b2o$bob2o5b2o4bo4bo29b2o$3bob3obo2bob2ob2ob2o29bobo$3bo5bo2b2obobo28b 2o5bo$2b2obob2o4bobobo28b2o5b2o$3bobo2bob4obob2o18b2o$3bo2bo2bo4bo23b 2o$4b2o5b3o23bo6b2o$10b2o31bobo$43bo$31b2o9b2obo2bo$31b2o2b2o5bo2b4o$ 35bobo6bo$36bo5bo2b4o$42b2obo3bo$33b2o8bo2b3obo$34bo8bob2obobo$31b3o7b 2obo3bob2o$31bo9bo2bo3bo2bo$43bob2o2bo$42b2o3b2o$45bobo$42b2obo3bo$42b o2bob2obo$44bo5bo$42bob6o$41bobo3bo$41bo2bo$42b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBZOOM 8 HEIGHT 550 ]]
400-cell variant found by Karel Suhajda on January 24, 2003
(click above to open LifeViewer)
Catagolue: here
x = 53, y = 49, rule = B3/S23 5bo$4bobo3b2o$3bo2bo3bo9bo$3bobob2obo9b3o7b2o$4b2obobo13bo6bo3b2o$22b 2o8bo2bo$4b5o22b2obo$4bo2b2o16bo8b4o8bo$2o3bo18bobob2o2b2o4bo5b3o$o2b obo14b2o2b2o8b2o4bo2bo$2b2obobo2b2ob2o5b2o9b2o3bo4bo2bo$5b4o2bob2o17b obo2bo3bob2o$2b3o2bobobo20bo3bo4bo3b2o$2bo2b2ob2ob4o18b2ob4obob2o2bo$ 5bo4bo4bo19bo4b2obo2bo$6b3o3b3o20bob2o5b2o$8b2ob2o6b2o13b2obo$20b2o17b o$19bo11bo6b2o$32b2o$31b2o$10bo29b2o5b2o$9bobo28b2o5bo$10b2o33bobo$6b 2o37b2o$5bobo33b2o$5bo5b2o28bobo$4b2o5b2o29bo$20b2o$19b2o$13b2o6bo11b o$13bo17b2o$15bob2o13b2o6b2ob2o$7b2o5b2obo20b3o3b3o$6bo2bob2o4bo19bo4b o4bo$5bo2b2obob4ob2o18b4ob2ob2o2bo$6b2o3bo4bo3bo20bobobo2b3o$8b2obo3b o2bobo17b2obo2b4o$8bo2bo4bo3b2o9b2o5b2ob2o2bobob2o$9bo2bo4b2o8b2o2b2o 14bobo2bo$6b3o5bo4b2o2b2obobo18bo3b2o$6bo8b4o8bo16b2o2bo$18bob2o22b5o $17bo2bo8b2o$17b2o3bo6bo13bobob2o$21b2o7b3o9bob2obobo$32bo9bo3bo2bo$41b 2o3bobo$47bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBZOOM 10 HEIGHT 550 ]]
370-cell 53 × 49 variant using a stator variant[3] of a smaller p7 pipsquirter found by Dongook Lee on November 20, 2019[4]
(click above to open LifeViewer)
Catagolue: here

References

  1. ↑ "Game of Life Status page". Retrieved on April 9, 2009.
  2. ↑ Jason Summers' jslife pattern collection. Retrieved on April 9, 2009.
  3. ↑ BlinkerSpawn (November 22, 2019). Re: Oscillator Discussion Thread , 69 cells in 16 × 20
  4. ↑ Scorbie (November 20, 2019). Re: Oscillator Discussion Thread , 77 cells in 14 × 20


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