Difference between revisions of "Oscillator"
m (templatified links) |
|||
Line 17: | Line 17: | ||
! Minimum # of cells | ! Minimum # of cells | ||
|- | |- | ||
! | ! {{period|2|brief}} | ||
| [[blinker]] | | [[blinker]] | ||
| [[John Conway]] | | [[John Conway]] | ||
| | | {{year|1970}} | ||
| | | | ||
| [[blinker]] | | [[blinker]] | ||
| | | {{cells|3}} | ||
|- | |- | ||
! | ! {{period|3|brief}} | ||
| [[pulsar]] | | [[pulsar]] | ||
| John Conway | | John Conway | ||
Line 31: | Line 31: | ||
| | | | ||
| [[caterer]] | | [[caterer]] | ||
| | | {{cells|12}} | ||
|- | |- | ||
! | ! {{period|4|brief}} | ||
| [[pinwheel]] | | [[pinwheel]] | ||
| [[Simon Norton]] | | [[Simon Norton]] | ||
Line 39: | Line 39: | ||
| | | | ||
| [[mazing]], [[mold]] | | [[mazing]], [[mold]] | ||
| | | {{cells|12}} | ||
|- | |- | ||
! | ! {{period|5|brief}} | ||
| [[octagon 2]] | | [[octagon 2]] | ||
| [[Sol Goodman]], [[Arthur Taber]] | | [[Sol Goodman]], [[Arthur Taber]] | ||
| | | {{year|1971}} | ||
| | | | ||
| [[pseudo-barberpole]] | | [[pseudo-barberpole]] | ||
| | | {{cells|15}} | ||
|- | |- | ||
! | ! {{period|6|brief}} | ||
| [[$rats]] | | [[$rats]] | ||
| [[David Buckingham]] | | [[David Buckingham]] | ||
| | | {{year|1972}} | ||
| | | | ||
| [[unix]] | | [[unix]] | ||
| | | {{cells|16}} | ||
|- | |- | ||
! | ! {{period|7|brief}} | ||
| [[burloaferimeter]] | | [[burloaferimeter]] | ||
| David Buckingham | | David Buckingham | ||
Line 63: | Line 63: | ||
| | | | ||
| [[28P7.1]], [[28P7.2]], [[28P7.3]], [[burloaferimeter]] | | [[28P7.1]], [[28P7.2]], [[28P7.3]], [[burloaferimeter]] | ||
| | | {{cells|28}} | ||
|- | |- | ||
! | ! {{period|8|brief}} | ||
| [[figure eight]] | | [[figure eight]] | ||
| Simon Norton | | Simon Norton | ||
Line 71: | Line 71: | ||
| | | | ||
| [[figure eight]] | | [[figure eight]] | ||
| | | {{cells|12}} | ||
|- | |- | ||
! | ! {{period|9|brief}} | ||
| [[worker bee]] | | [[worker bee]] | ||
| David Buckingham | | David Buckingham | ||
Line 79: | Line 79: | ||
| | | | ||
| [[29P9]] | | [[29P9]] | ||
| | | {{cells|29}} | ||
|- | |- | ||
! | ! {{period|10|brief}} | ||
| [[42P10.1]] | | [[42P10.1]] | ||
| David Buckingham | | David Buckingham | ||
| ≤ | | ≤{{year|1976}} | ||
| | | | ||
| [[24P10]] | | [[24P10]] | ||
| | | {{cells|24}} | ||
|- | |- | ||
! | ! {{period|11|brief}} | ||
| [[38P11.1]] | | [[38P11.1]] | ||
| David Buckingham | | David Buckingham | ||
| | | {{year|1977}} | ||
| | | | ||
| [[rattlesnake]] | | [[rattlesnake]] | ||
| | | {{cells|33}} | ||
|- | |- | ||
! | ! {{period|12|brief}} | ||
| [[dinner table]] | | [[dinner table]] | ||
| [[Robert Wainwright]] | | [[Robert Wainwright]] | ||
| | | {{year|1972}} | ||
| | | | ||
| [[dinner table]] | | [[dinner table]] | ||
| | | {{cells|33}} | ||
|- | |- | ||
! | ! {{period|13|brief}} | ||
| [[Buckingham's p13]] | | [[Buckingham's p13]] | ||
| David Buckingham | | David Buckingham | ||
Line 111: | Line 111: | ||
| | | | ||
| [[Beluchenko's p13]] | | [[Beluchenko's p13]] | ||
| | | {{cells|34}} | ||
|- | |- | ||
! | ! {{period|14|brief}} | ||
| [[tumbler]] | | [[tumbler]] | ||
| [[George Collins]] | | [[George Collins]] | ||
Line 119: | Line 119: | ||
| | | | ||
| [[tumbler]] | | [[tumbler]] | ||
| | | {{cells|16}} | ||
|- | |- | ||
! | ! {{period|15|brief}} | ||
| [[pentadecathlon]] | | [[pentadecathlon]] | ||
| John Conway | | John Conway | ||
Line 127: | Line 127: | ||
| | | | ||
| [[pentadecathlon]] | | [[pentadecathlon]] | ||
| | | {{cells|12}} | ||
|- | |- | ||
! | ! {{period|16|brief}} | ||
| [[two pre-L hasslers]] | | [[two pre-L hasslers]] | ||
| Robert Wainwright | | Robert Wainwright | ||
| | | {{year|1983}} | ||
| | | | ||
| [[Achim's p16]] | | [[Achim's p16]] | ||
| | | {{cells|32}} | ||
|- | |- | ||
! | ! {{period|17|brief}} | ||
| [[54P17.1]] | | [[54P17.1]] | ||
| [[Dean Hickerson]] | | [[Dean Hickerson]] | ||
| | | {{year|1997}} | ||
| | | | ||
| [[honey thieves]] | | [[honey thieves]] | ||
| | | {{cells|36}} | ||
|- | |- | ||
! | ! {{period|18|brief}} | ||
| [[117P18]] | | [[117P18]] | ||
| David Buckingham | | David Buckingham | ||
| ≤ | | ≤{{year|1991}} | ||
| | | | ||
| [[p18 bi-block hassler]] | | [[p18 bi-block hassler]] | ||
| | | {{cells|43}} | ||
|- | |- | ||
! class="red_td" | 19 | ! class="red_td" | 19 | ||
| class="red_td" colspan="6" | ''None found'' | | class="red_td" colspan="6" | ''None found'' | ||
|- | |- | ||
! | ! {{period|20|brief}} | ||
| [[145P20]] | | [[145P20]] | ||
| [[Noam Elkies]] | | [[Noam Elkies]] | ||
| | | {{year|1995}} | ||
| | | | ||
| [[mold on fumarole]] | | [[mold on fumarole]] | ||
| | | {{cells|30}} | ||
|- | |- | ||
! | ! {{period|21|brief}} | ||
| [[124P21]] | | [[124P21]] | ||
| Robert Wainwright | | Robert Wainwright | ||
Line 170: | Line 170: | ||
| | | | ||
| [[caterer on 28P7.3]] | | [[caterer on 28P7.3]] | ||
| | | {{cells|40}} | ||
|- | |- | ||
! | ! {{period|22|brief}} | ||
| [[168P22.1]] | | [[168P22.1]] | ||
| Noam Elkies | | Noam Elkies | ||
Line 178: | Line 178: | ||
| | | | ||
| [[Jason's p22]] | | [[Jason's p22]] | ||
| | | {{cells|36}} | ||
|- | |- | ||
! | ! {{period|23|brief}} | ||
| [[David Hilbert]] | | [[David Hilbert]] | ||
| [[Luka Okanishi]], [[Aidan F. Pierce]] | | [[Luka Okanishi]], [[Aidan F. Pierce]] | ||
Line 186: | Line 186: | ||
| | | | ||
| [[David Hilbert]] | | [[David Hilbert]] | ||
| | | {{cells|122}} | ||
|- | |- | ||
! | ! {{period|24|brief}} | ||
| [[186P24]] | | [[186P24]] | ||
| [[Bill Gosper]] | | [[Bill Gosper]] | ||
| | | {{year|1994}} | ||
| | | | ||
| [[caterer on figure eight]] | | [[caterer on figure eight]] | ||
| | | {{cells|24}} | ||
|- | |- | ||
! | ! {{period|25|brief}} | ||
| [[134P25]] | | [[134P25]] | ||
| Noam Elkies | | Noam Elkies | ||
Line 202: | Line 202: | ||
| | | | ||
| [[98P25|p25 honey farm hassler]] | | [[98P25|p25 honey farm hassler]] | ||
| | | {{cells|88}} | ||
|- | |- | ||
! | ! {{period|26|brief}} | ||
| [[p26 pre-pulsar shuttle]] | | [[p26 pre-pulsar shuttle]] | ||
| David Buckingham | | David Buckingham | ||
Line 210: | Line 210: | ||
| | | | ||
| [[87P26]] | | [[87P26]] | ||
| | | {{cells|87}} | ||
|- | |- | ||
! | ! {{period|27|brief}} | ||
| [[123P27.1]] | | [[123P27.1]] | ||
| Noam Elkies | | Noam Elkies | ||
| | | {{year|2002}} | ||
| | | | ||
| [[56P27]] | | [[56P27]] | ||
| | | {{cells|56}} | ||
|- | |- | ||
! | ! {{period|28|brief}} | ||
| [[newshuttle]] | | [[newshuttle]] | ||
| David Buckingham | | David Buckingham | ||
| | | {{year|1973}} | ||
| | | | ||
| [[mold on 34P14 shuttle]] | | [[mold on 34P14 shuttle]] | ||
| | | {{cells|46}} | ||
|- | |- | ||
! | ! {{period|29|brief}} | ||
| [[p29 pre-pulsar shuttle]] | | [[p29 pre-pulsar shuttle]] | ||
| David Buckingham | | David Buckingham | ||
| | | {{year|1980}} | ||
| | | | ||
| [[p29 pre-pulsar shuttle]] | | [[p29 pre-pulsar shuttle]] | ||
| | | {{cells|54}} | ||
|- | |- | ||
! | ! {{period|30|brief}} | ||
| [[queen bee shuttle]] | | [[queen bee shuttle]] | ||
| Bill Gosper | | Bill Gosper | ||
Line 242: | Line 242: | ||
| | | | ||
| [[queen bee shuttle]] | | [[queen bee shuttle]] | ||
| | | {{cells|20}} | ||
|- | |- | ||
! | ! {{period|31|brief}} | ||
| [[Merzenich's p31]] | | [[Merzenich's p31]] | ||
| [[Matthias Merzenich]] | | [[Matthias Merzenich]] | ||
| | | {{year|2010}} | ||
| | | | ||
| [[Merzenich's p31]] | | [[Merzenich's p31]] | ||
| | | {{cells|48}} | ||
|- | |- | ||
! | ! {{period|32|brief}} | ||
| [[gourmet]] | | [[gourmet]] | ||
| David Buckingham | | David Buckingham | ||
| | | {{year|1978}} | ||
| | | | ||
| [[gourmet]] | | [[gourmet]] | ||
| | | {{cells|66}} | ||
|- | |- | ||
! | ! {{period|33|brief}} | ||
| [[258P3 on Achim's p11]] | | [[258P3 on Achim's p11]] | ||
| Noam Elkies, [[Achim Flammenkamp]] | | Noam Elkies, [[Achim Flammenkamp]] | ||
Line 266: | Line 266: | ||
| | | | ||
| [[caterer on rattlesnake]] | | [[caterer on rattlesnake]] | ||
| | | {{cells|46}} | ||
|- | |- | ||
! | ! {{period|34|brief}} | ||
| class="red_td" colspan="6" | ''No non-trivial examples found'' | | class="red_td" colspan="6" | ''No non-trivial examples found'' | ||
|- | |- | ||
! | ! {{period|35|brief}} | ||
| [[p35 beehive hassler]] | | [[p35 beehive hassler]] | ||
| Dean Hickerson | | Dean Hickerson | ||
Line 277: | Line 277: | ||
| | | | ||
| [[p35 honey farm hassler]] | | [[p35 honey farm hassler]] | ||
| | | {{cells|44}} | ||
|- | |- | ||
! | ! {{period|36|brief}} | ||
| [[p36 toad hassler]] | | [[p36 toad hassler]] | ||
| Robert Wainwright | | Robert Wainwright | ||
Line 285: | Line 285: | ||
| | | | ||
| [[22P36]] | | [[22P36]] | ||
| | | {{cells|22}} | ||
|- | |- | ||
! | ! {{period|37|brief}} | ||
| [[Beluchenko's p37]] | | [[Beluchenko's p37]] | ||
| [[Nicolay Beluchenko]] | | [[Nicolay Beluchenko]] | ||
| | | {{year|2009}} | ||
| | | | ||
| [[Beluchenko's p37]] | | [[Beluchenko's p37]] | ||
| | | {{cells|124}} | ||
|- | |- | ||
! class="red_td" | 38 | ! class="red_td" | 38 | ||
| class="red_td" colspan="6" | ''None found'' | | class="red_td" colspan="6" | ''None found'' | ||
|- | |- | ||
! | ! {{period|39|brief}} | ||
| [[134P39.1]] | | [[134P39.1]] | ||
| David Buckingham, Noam Elkies | | David Buckingham, Noam Elkies | ||
| | | {{year|2000}} | ||
| | | | ||
| [[caterer on Beluchenko's p13]] | | [[caterer on Beluchenko's p13]] | ||
| | | {{cells|46}} | ||
|- | |- | ||
! | ! {{period|40|brief}} | ||
| [[p40 B-heptomino shuttle]] | | [[p40 B-heptomino shuttle]] | ||
| David Buckingham | | David Buckingham | ||
Line 312: | Line 312: | ||
| | | | ||
| [[Beluchenko's p40]] | | [[Beluchenko's p40]] | ||
| | | {{cells|26}} | ||
|- | |- | ||
! class="red_td" | 41 | ! class="red_td" | 41 | ||
| class="red_td" colspan="6" | ''None found'' | | class="red_td" colspan="6" | ''None found'' | ||
|- | |- | ||
! | ! {{period|42|brief}} | ||
| [[p42 glider shuttle]] | | [[p42 glider shuttle]] | ||
| Noam Elkies | | Noam Elkies | ||
Line 323: | Line 323: | ||
| | | | ||
| [[unix on 34P14 shuttle]] | | [[unix on 34P14 shuttle]] | ||
| | | {{cells|50}} | ||
|- | |- | ||
! | ! {{period|43|brief}} | ||
| [[p43 glider loop]] | | [[p43 glider loop]] | ||
| [[Mike Playle]] | | [[Mike Playle]] | ||
| | | {{year|2013}} | ||
| | | | ||
| [[p43 glider loop]] | | [[p43 glider loop]] | ||
| | | {{cells|228}} | ||
|- | |- | ||
! | ! {{period|44|brief}} | ||
| [[p44 pi-heptomino hassler]] | | [[p44 pi-heptomino hassler]] | ||
| David Buckingham | | David Buckingham | ||
Line 339: | Line 339: | ||
| | | | ||
| [[mold on rattlesnake]] | | [[mold on rattlesnake]] | ||
| | | {{cells|45}} | ||
|- | |- | ||
! | ! {{period|45|brief}} | ||
| [[pentadecathlon on snacker]] | | [[pentadecathlon on snacker]] | ||
| ? | | ? | ||
Line 347: | Line 347: | ||
| | | | ||
| [[pentadecathlon on thumb 1]] | | [[pentadecathlon on thumb 1]] | ||
| | | {{cells|48}} | ||
|- | |- | ||
! | ! {{period|46|brief}} | ||
| [[twin bees shuttle]] | | [[twin bees shuttle]] | ||
| Bill Gosper | | Bill Gosper | ||
Line 355: | Line 355: | ||
| | | | ||
| [[twin bees shuttle]] | | [[twin bees shuttle]] | ||
| | | {{cells|28}} | ||
|- | |- | ||
! | ! {{period|47|brief}} | ||
| [[p47 pre-pulsar shuttle]] | | [[p47 pre-pulsar shuttle]] | ||
| David Buckingham | | David Buckingham | ||
| | | {{year|1982}} | ||
| | | | ||
| [[p47 pre-pulsar shuttle]] | | [[p47 pre-pulsar shuttle]] | ||
| | | {{cells|84}} | ||
|- | |- | ||
! | ! {{period|48|brief}} | ||
| [[p48 toad hassler]] | | [[p48 toad hassler]] | ||
| Bill Gosper | | Bill Gosper | ||
Line 371: | Line 371: | ||
| | | | ||
| [[unix on Rich's p16]] | | [[unix on Rich's p16]] | ||
| | | {{cells|52}} | ||
|- | |- | ||
! | ! {{period|49|brief}} | ||
| [[p49 glider shuttle]] | | [[p49 glider shuttle]] | ||
| Noam Elkies | | Noam Elkies | ||
| | | {{year|1999}} | ||
| | | | ||
| [[p49 bumper loop]] | | [[p49 bumper loop]] | ||
| | | {{cells|206}} | ||
|- | |- | ||
! | ! {{period|50|brief}} | ||
| [[p50 glider shuttle]] | | [[p50 glider shuttle]] | ||
| Dean Hickerson | | Dean Hickerson | ||
Line 387: | Line 387: | ||
| | | | ||
| [[p50 traffic jam]] | | [[p50 traffic jam]] | ||
| | | {{cells|92}} | ||
|- | |- | ||
! | ! {{period|51|brief}} | ||
| [[Beluchenko's p51]] | | [[Beluchenko's p51]] | ||
| Nicolay Beluchenko | | Nicolay Beluchenko | ||
Line 395: | Line 395: | ||
| | | | ||
| [[92P51]] | | [[92P51]] | ||
| | | {{cells|92}} | ||
|- | |- | ||
! | ! {{period|52|brief}} | ||
| [[Four eaters hassling lumps of muck]] | | [[Four eaters hassling lumps of muck]] | ||
| David Buckingham | | David Buckingham | ||
Line 403: | Line 403: | ||
| | | | ||
| [[Four eaters hassling lumps of muck]] | | [[Four eaters hassling lumps of muck]] | ||
| | | {{cells|35}} | ||
|- | |- | ||
! | ! {{period|53|brief}} | ||
| [[p53 glider loop]] | | [[p53 glider loop]] | ||
| Mike Playle | | Mike Playle | ||
| | | {{year|2013}} | ||
| | | | ||
| [[p53 glider loop]] | | [[p53 glider loop]] | ||
| | | {{cells|228}} | ||
|- | |- | ||
! | ! {{period|54|brief}} | ||
| [[p54 shuttle]] | | [[p54 shuttle]] | ||
| David Buckingham | | David Buckingham | ||
| | | {{year|1973}} | ||
| | | | ||
| [[p54 shuttle]] | | [[p54 shuttle]] | ||
| | | {{cells|48}} | ||
|- | |- | ||
! | ! {{period|55|brief}} | ||
| [[p55 pre-pulsar hassler]] | | [[p55 pre-pulsar hassler]] | ||
| David Buckingham | | David Buckingham | ||
| | | {{year|1986}} | ||
| | | | ||
| [[pseudo-barberpole on rattlesnake]] | | [[pseudo-barberpole on rattlesnake]] | ||
| | | {{cells|49}} | ||
|- | |- | ||
! | ! {{period|56|brief}} | ||
| [[p56 B-heptomino shuttle]] | | [[p56 B-heptomino shuttle]] | ||
| David Buckingham | | David Buckingham | ||
Line 435: | Line 435: | ||
| | | | ||
| [[p56 B-heptomino shuttle]] | | [[p56 B-heptomino shuttle]] | ||
| | | {{cells|45}} | ||
|- | |- | ||
! | ! {{period|57|brief}} | ||
| [[p57 Herschel loop 1]] | | [[p57 Herschel loop 1]] | ||
| [[Dietrich Leithner]] | | [[Dietrich Leithner]] | ||
Line 443: | Line 443: | ||
| | | | ||
| [[p57 bumper loop]] | | [[p57 bumper loop]] | ||
| | | {{cells|152}} | ||
|- | |- | ||
! | ! {{period|58|brief}} | ||
| [[p58 toadsucker]] | | [[p58 toadsucker]] | ||
| Bill Gosper | | Bill Gosper | ||
Line 451: | Line 451: | ||
| | | | ||
| [[p58 pre-pulsar shuttle]] | | [[p58 pre-pulsar shuttle]] | ||
| | | {{cells|104}} | ||
|- | |- | ||
! | ! {{period|59|brief}} | ||
| [[p59 Herschel loop 1]] | | [[p59 Herschel loop 1]] | ||
| David Buckingham | | David Buckingham | ||
Line 459: | Line 459: | ||
| | | | ||
| [[p59 glider loop]] | | [[p59 glider loop]] | ||
| | | {{cells|228}} | ||
|- | |- | ||
! | ! {{period|60|brief}} | ||
| [[p60 glider shuttle]] | | [[p60 glider shuttle]] | ||
| David Buckingham | | David Buckingham | ||
Line 467: | Line 467: | ||
| | | | ||
| [[mold on pentadecathlon]] | | [[mold on pentadecathlon]] | ||
| | | {{cells|24}} | ||
|- | |- | ||
! | ! {{period|61|brief}} | ||
| [[p61 Herschel loop 1]] | | [[p61 Herschel loop 1]] | ||
| David Buckingham | | David Buckingham | ||
| | | {{year|1996}} | ||
| | | | ||
| [[p61 glider loop]] | | [[p61 glider loop]] | ||
| | | {{cells|228}} | ||
|- | |- | ||
! | ! {{period|62|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 483: | Line 483: | ||
| | | | ||
| [[110P62]] | | [[110P62]] | ||
| | | {{cells|110}} | ||
|- | |- | ||
! | ! {{period|63|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 491: | Line 491: | ||
| | | | ||
| [[snacker on 38P7.2]] | | [[snacker on 38P7.2]] | ||
| | | {{cells|78}} | ||
|- | |- | ||
! | ! {{period|64|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 499: | Line 499: | ||
| | | | ||
| [[Merzenich's p64]] | | [[Merzenich's p64]] | ||
| | | {{cells|34}} | ||
|- | |- | ||
! | ! {{period|65|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 507: | Line 507: | ||
| | | | ||
| [[fumarole on Beluchenko's p13]] | | [[fumarole on Beluchenko's p13]] | ||
| | | {{cells|52}} | ||
|- | |- | ||
! | ! {{period|66|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 515: | Line 515: | ||
| | | | ||
| [[caterer on 36P22]] | | [[caterer on 36P22]] | ||
| | | {{cells|48}} | ||
|- | |- | ||
! | ! {{period|67|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 525: | Line 525: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|68|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 533: | Line 533: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|69|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 541: | Line 541: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|70|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 547: | Line 547: | ||
| | | | ||
| [[fumarole on 34P14 shuttle]] | | [[fumarole on 34P14 shuttle]] | ||
| | | {{cells|52}} | ||
|- | |- | ||
! | ! {{period|71|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 557: | Line 557: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|72|brief}} | ||
| [[two blockers hassling R-pentomino]] | | [[two blockers hassling R-pentomino]] | ||
| Robert Wainwright | | Robert Wainwright | ||
Line 563: | Line 563: | ||
| | | | ||
| [[figure eight on 22P36]] | | [[figure eight on 22P36]] | ||
| | | {{cells|36}} | ||
|- | |- | ||
! | ! {{period|73|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 573: | Line 573: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|74|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 581: | Line 581: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|75|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 587: | Line 587: | ||
| | | | ||
| [[6 bits]] | | [[6 bits]] | ||
| | | {{cells|49}} | ||
|- | |- | ||
! | ! {{period|76|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 597: | Line 597: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|77|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 603: | Line 603: | ||
| | | | ||
| [[77P77]] | | [[77P77]] | ||
| | | {{cells|77}} | ||
|- | |- | ||
! | ! {{period|78|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 611: | Line 611: | ||
| | | | ||
| [[p6 thumb on Beluchenko's p13]] | | [[p6 thumb on Beluchenko's p13]] | ||
| | | {{cells|61}} | ||
|- | |- | ||
! | ! {{period|79|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 621: | Line 621: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|80|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 627: | Line 627: | ||
| | | | ||
| [[fumarole on Rich's p16]] | | [[fumarole on Rich's p16]] | ||
| | | {{cells|52}} | ||
|- | |- | ||
! | ! {{period|81|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 637: | Line 637: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|82|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 645: | Line 645: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|83|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 653: | Line 653: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|84|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 659: | Line 659: | ||
| | | | ||
| [[52P84]] | | [[52P84]] | ||
| | | {{cells|52}} | ||
|- | |- | ||
! | ! {{period|85|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 669: | Line 669: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|86|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 677: | Line 677: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|87|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 683: | Line 683: | ||
| | | | ||
| [[84P87]] | | [[84P87]] | ||
| | | {{cells|84}} | ||
|- | |- | ||
! | ! {{period|88|brief}} | ||
| [[P44 pi-heptomino hassler#Image gallery|p88 pi-heptomino hassler]] | | [[P44 pi-heptomino hassler#Image gallery|p88 pi-heptomino hassler]] | ||
| Dean Hickerson | | Dean Hickerson | ||
Line 691: | Line 691: | ||
| | | | ||
| [[figure eight on rattlesnake]] | | [[figure eight on rattlesnake]] | ||
| | | {{cells|45}} | ||
|- | |- | ||
! | ! {{period|89|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 701: | Line 701: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|90|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 707: | Line 707: | ||
| | | | ||
| [[fumarole on 43P18]] | | [[fumarole on 43P18]] | ||
| | | {{cells|61}} | ||
|- | |- | ||
! | ! {{period|91|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 717: | Line 717: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|92|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 723: | Line 723: | ||
| | | | ||
| [[twin bees shuttle on 22P4.3]] | | [[twin bees shuttle on 22P4.3]] | ||
| | | {{cells|50}} | ||
|- | |- | ||
! | ! {{period|93|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 731: | Line 731: | ||
| | | | ||
| [[caterer on Merzenich's p31]] | | [[caterer on Merzenich's p31]] | ||
| | | {{cells|60}} | ||
|- | |- | ||
! | ! {{period|94|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 739: | Line 739: | ||
| | | | ||
| {{LinkCatagolue|xp94_x696o8b9czy065x33xc871xggzooyd643zwgg04ahhha4y5c871z4701yfoozw8e13xggzy34701xmmggo5jzya146w343|patternname=capped|style=raw}} [[AK-94]] | | {{LinkCatagolue|xp94_x696o8b9czy065x33xc871xggzooyd643zwgg04ahhha4y5c871z4701yfoozw8e13xggzy34701xmmggo5jzya146w343|patternname=capped|style=raw}} [[AK-94]] | ||
| | | {{cells|110}} | ||
|- | |- | ||
! | ! {{period|95|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 749: | Line 749: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|96|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 755: | Line 755: | ||
| | | | ||
| [[caterer on 68P32]] | | [[caterer on 68P32]] | ||
| | | {{cells|80}} | ||
|- | |- | ||
! | ! {{period|97|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 765: | Line 765: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|98|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 773: | Line 773: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|99|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 781: | Line 781: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|100|brief}} | ||
| [[centinal]] | | [[centinal]] | ||
| Bill Gosper | | Bill Gosper | ||
| ≤ | | ≤{{year|1987}} | ||
| | | | ||
| [[centinal]] | | [[centinal]] | ||
| | | {{cells|70}} | ||
|- | |- | ||
! | ! {{period|104|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 795: | Line 795: | ||
| | | | ||
| [[figure eight on Beluchenko's p13]] | | [[figure eight on Beluchenko's p13]] | ||
| | | {{cells|46}} | ||
|- | |- | ||
! | ! {{period|105|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 803: | Line 803: | ||
| | | | ||
| [[pentadecathlon on 37P7.1]] | | [[pentadecathlon on 37P7.1]] | ||
| | | {{cells|49}} | ||
|- | |- | ||
! | ! {{period|108|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 811: | Line 811: | ||
| | | | ||
| [[22P4.3 on 56P27]] | | [[22P4.3 on 56P27]] | ||
| | | {{cells|78}} | ||
|- | |- | ||
! | ! {{period|110|brief}} | ||
| [[p110 traffic jam]] | | [[p110 traffic jam]] | ||
| Bill Gosper | | Bill Gosper | ||
Line 819: | Line 819: | ||
| | | | ||
| [[pseudo-barberpole on 36P22]] | | [[pseudo-barberpole on 36P22]] | ||
| | | {{cells|51}} | ||
|- | |- | ||
! | ! {{period|120|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 827: | Line 827: | ||
| | | | ||
| [[figure eight on pentadecathlon]] | | [[figure eight on pentadecathlon]] | ||
| | | {{cells|24}} | ||
|- | |- | ||
! | ! {{period|124|brief}} | ||
| [[p124 lumps of muck hassler]] | | [[p124 lumps of muck hassler]] | ||
| Dean Hickerson | | Dean Hickerson | ||
Line 835: | Line 835: | ||
| | | | ||
| [[mold on Merzenich's p31]] | | [[mold on Merzenich's p31]] | ||
| | | {{cells|60}} | ||
|- | |- | ||
! | ! {{period|132|brief}} | ||
| [[p132 pi-heptomino hassler]] | | [[p132 pi-heptomino hassler]] | ||
| David Buckingham | | David Buckingham | ||
Line 845: | Line 845: | ||
| ? | | ? | ||
|- | |- | ||
! | ! {{period|135|brief}} | ||
| [[106P135]] | | [[106P135]] | ||
| Bill Gosper | | Bill Gosper | ||
| | | {{year|1989}} | ||
| | | | ||
| [[pentadecathlon on 56P27]] | | [[pentadecathlon on 56P27]] | ||
| | | {{cells|68}} | ||
|- | |- | ||
! | ! {{period|138|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 859: | Line 859: | ||
| | | | ||
| [[Gabriel's p138]] | | [[Gabriel's p138]] | ||
| | | {{cells|36}} | ||
|- | |- | ||
! | ! {{period|144|brief}} | ||
| [[Achim's p144]] | | [[Achim's p144]] | ||
| Achim Flammenkamp | | Achim Flammenkamp | ||
Line 867: | Line 867: | ||
| | | | ||
| [[Achim's p144]] | | [[Achim's p144]] | ||
| | | {{cells|42}} | ||
|- | |- | ||
! | ! {{period|156|brief}} | ||
| [[p156 Hans Leo hassler]] | | [[p156 Hans Leo hassler]] | ||
| Noam Elkies | | Noam Elkies | ||
Line 875: | Line 875: | ||
| | | | ||
| [[Jason's p156]] | | [[Jason's p156]] | ||
| | | {{cells|92}} | ||
|- | |- | ||
! | ! {{period|177|brief}} | ||
| ? | | ? | ||
| ? | | ? | ||
Line 883: | Line 883: | ||
| | | | ||
| [[Karel's p177]] | | [[Karel's p177]] | ||
| | | {{cells|104}} | ||
|- | |- | ||
! | ! {{period|200|brief}} | ||
| [[p200 traffic jam]] | | [[p200 traffic jam]] | ||
| Bill Gosper | | Bill Gosper | ||
Line 891: | Line 891: | ||
| | | | ||
| [[figure eight on centinal]] | | [[figure eight on centinal]] | ||
| | | {{cells|82}} | ||
|- | |- | ||
! | ! {{period|312|brief}} | ||
| period-tripled [[p104 gun]] | | period-tripled [[p104 gun]] | ||
| [[Dave Greene]] | | [[Dave Greene]] | ||
Line 899: | Line 899: | ||
| | | | ||
| [[60P312]] | | [[60P312]] | ||
| | | {{cells|60}} | ||
|} | |} | ||
Revision as of 18:42, 28 December 2019
An oscillator is a pattern that is a predecessor of itself. That is, it is a pattern that repeats itself after a fixed number of generations (known as its period). The term is usually restricted to finite patterns that are not still lifes, though still lifes may be thought of as oscillators with period 1. An oscillator is divided into a rotor (the individual cells that actually oscillate) and a stator (the cells which remain alive throughout its whole period).
Cellular automaton theory recognizes shift periodicity, which refers to a configuration reappearing in shifted form after a lapse of one or more generations. Without the shift, it is an oscillator, but if it moves it would be called a spaceship.
Important oscillators by period
A list of the first-discovered oscillator of each period, as well the current smallest-known oscillator of that period, is provided here. Note that only non-trivial oscillators are considered here, in the sense that there must be at least one cell that oscillates at the full period. In some cases, it is not known for certain what the first-discovered oscillator of a given period is, and in such situations all possible candidates are listed. For any period 61 or greater an oscillator can be constructed using the Herschel track method. In April, 2013 Mike Playle found a small 90-degree stable reflector known as the Snark that allows oscillators of all periods 43 or greater to be constructed.
See also
- List of common oscillators
- List of oscillators
- Omniperiodic
- Table of oscillators by period
- Oscillator periods status table
External links
- Oscillator at Wikipedia
- Oscillator at the Life Lexicon