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== Known spaceships by width ==
where entries are bifurcated in twain vertically, the lower one is strict (must not be of a subsymmetry or comprised of disjoint objects)


{|class="wikitable"
diagonal spaceship speeds are measured in half-diagonal
 
==Known spaceships by width==
{|class="wikitable" style="text-align: center"
|-
|-
! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric
!rowspan="2"| Velocity !!rowspan="2"| Asymmetric !!colspan="2"| Symmetric !!colspan="2"| Glide-symmetric
|-
!odd!!even!!odd!!even
|-
|-
| (1,0)c/2
| (1,0)c/2
| style="background: #80ff80;" | 9
| style="background: #80ff80;" | {{LinkCatagolue|xq2_ocm3qe08ka19ki0oz136c570625|b36s23|name=9|style=raw}}<ref group="n">46 cells, only other at w9a is a {{LinkCatagolue|xq2_8s6jlj6s8z0h9l8hdlz3842czx152|b36s23|name=48-cell backend variant|style=raw}}</ref>
| style="background: #80ff80;" | 17
| style="background: #80ff80;" | {{LinkCatagolue|xq2_03emacg0gzmsmkkt111bmsz10pk8q62631z03111|b36s23|name=17|style=raw}}
| style="background: #80ff80;" | 20
| style="background: #80ff80;" | {{LinkCatagolue|xq2_gskblxgssgxlbksgz0h3tbt5ky0k5tbt3hz68hhchh86w68hhchh86zy01y61|b36s23|name=20|style=raw}}
|-
|-
| (1,0)c/3
| (1,0)c/3
| style="background: #80ff80;" | 10
| style="background: #80ff80;" | {{LinkCatagolue|xq3_w4ijiuzwsuiz518g0d8vfzw20502|b36s23|name=10|style=raw}}{{refn|group=n|found in <ref>{{LinkForumThread|f=11|t=2332|p=95736|title=Re: HighLife|author=400spartans|date=April 30, 2020|format=raw}}, in which the smallest c/3 (at w10a) was found</ref>, 43 cells; see also {{LinkCatagolue|xq3_0kemo4oa14h1a4z2f54qpr1w433|b36s23|name=shortest w11a|style=raw}} (40 cells), {{LinkCatagolue|xq3_gb35cm80a28kgz1qok6d24544|b36s23|name=shortest w12a|style=raw}} (40 cells, same frontend as the turtle)}}
| style="background: #80ff80;" | 15
| style="background: #80ff80;" | {{LinkCatagolue|xq3_0e16wm6qoc0c2igu3zhva04ah0hxav40v44r44z0egcwdcb3606891fo|b36s23|name=15|style=raw}}
| style="background: #80ff80;" | 12
| style="background: #80ff80;" | [[Turtle|12]]
|-
|-
| (1,0)c/4
| (1,0)c/4
| style="background: #80ff80;" | 10
| style="background: #80ff80;" | {{LinkCatagolue|xq4_70552ao4es6wuwajjm6w8s2h84owscc88zy4213w303c7u3027p6n8103|b36s23|name=10|style=raw}}{{refn|group=n|84 cells, shortest/smallest w11a is {{LinkCatagolue|xq4_6mjtt042a468qfcgz6a5y18ss06do6|b36s23|name=47 cells|style=raw}}, both were first found in <ref>{{LinkForumThread|f=11|t=2332|p=59428|title=Re: HighLife|author=velcrorex|date=April 23, 2018|format=raw}}, in which the smallest c/4 w10a and w11a were found</ref>}}
| style="background: #80ff80;" | 15
| style="background: #80ff80;" | {{LinkCatagolue|xq4_0gol1l0l1logztg0ccbcbcc0gtz167l46064l761z06022fgf2206z630b6x6b036z8hb0gxg0bh8z906sj303js609zwhkh404hkh|b36s23|name=15|style=raw}}<ref group="n">157 cells<br />shortest/smallest w17o is {{LinkCatagolue|xq4_0ghjpy3pjhgz5d5o0gy1g0o5d5zguf4407ksk7044fugzy233033|b36s23|name=69 cells|style=raw}}, w19o is {{LinkCatagolue|xq4_x5d3e464e3d5z0kkk55sq4qs55kkkz71y0c141cy017zy3111|b36s23|name=60|style=raw}}, w27o is {{LinkCatagolue|xq4_511cg4qmks432a234skmq4gc115|b36s23|name=43|style=raw}}</ref>
| style="background: #80ff80;" | 16
| style="background: #80ff80;" | {{LinkCatagolue|xq4_xdhdy0dhdzwenl0jaaj0lnezwoe8c6ss6c8eoz4n136266662631n4z8998hq4w4qh8998zx4uqkookqu4zy070o22o07zy01lsbbsl1zy2fwfzy21w1|b36s23|name=16|style=raw}}<ref group="n">168 cells<br />shortest/smallest w18e is {{LinkCatagolue|xq4_8o8wgm0rr0mgw8o8z0c8uj29sggs92ju8cz0a4k4oo0dd0oo4k4azw13giqcwcqig31zx504vsqqsv405|b36s23|name=124 cells|style=raw}}, w20e is {{LinkCatagolue|xq4_cq215zx2u24ozgo02321z12245|b36s23|name=32|style=raw}}</ref>
|-
|rowspan=2 | (2,0)c/4
| style="background: #80ff80;" | [[Lightweight spaceship|5]]
| style="background: #80ff80;" | {{LinkCatagolue|xq4_6frcxcrf6|b36s23|name=11|style=raw}}
| style="background: #80ff80;" | {{LinkCatagolue|xq4_6rucwcur6|b36s23|name=12|style=raw}}
|rowspan=2 style="background: #80ff80;" | [[Lightweight spaceship|5]]<ref group="n">unique second-thinnest nontrivial (after xWSS's) is a {{LinkCatagolue|xq4_2ug0ehwghdzxusfh13zy0131|b36s23|name=width 11|style=raw}}</ref>
| style="background: #80ff80;" | {{LinkCatagolue|xq4_6frcx6frc|b36s23|name=12|style=raw}}
|-
| style="background: #80ff80;" | {{LinkCatagolue|xq4_08s6jlj6s8zwh9l8hdlz03842czxs1huzxopj6zw1a61g7z086r68zltg3gtlz0cxc|b36s23|name=10|style=raw}}
| style="background: #80ff80;" | {{LinkCatagolue|xq4_o82ia03vmo0ozha0hewhhhz3289a0ovd303|b36s23|name=15|style=raw}}
| style="background: #80ff80;" | 18<ref group="n">see h<nowiki></nowiki>ttps://catagolue.hatsya.com/census/xq4_wgkr996w699rkgzwonm03y030mnozk44c3b<nowiki></nowiki>uy0ub3c44kz0evgge968869eggvezxdt3fa44af3tdzy0ev5sws5ve/b36s23 (cannot be directly linked inline due to substring)</ref>
| style="background: #80ff80;" | {{LinkCatagolue|xq4_0fh12g0gwfh1izwq6345g90vphz892u6y1bs7zw1114373w6|b36s23|name=14|style=raw}}<ref group="n">74 cells<br />second-shortest w14 is {{LinkCatagolue|xq4_06rucy16rucz0i0e30nn92gmz6fkmix8k05bz43hhhtva080e76zw1nmg0g0clzy25402|b36s23|name=98 cells|style=raw}}</ref>
|-
|-
| (2,0)c/4
|rowspan=2 | (1,1)c/4
| style="background: #80ff80;" | 5
| style="background: #80ff80;" | [[Glider|4]]
| style="background: #80ff80;" | 11
|colspan=2 style="background: #80ff80;" | {{LinkCatagolue|xq4_o8g351z1|b36s23|name=11|style=raw}}
| style="background: #80ff80;" | 12
|rowspan=2 colspan=2 style="background: #80ff80;" | [[Glider|4]]<ref group="n">unique second-thinnest nontrivial is a {{LinkCatagolue|xq4_06344vt1ooz3156kh93|b36s23|name=width 14|style=raw}}</ref>
|-
| style="background: #ffa0a0;" | 10
|colspan=2 style="background: #80ff80;" | {{LinkCatagolue|xq4_ggwjj8g8z110a5d295g17sozy1326cci56018ezy7223|b36s23|name=13|style=raw}}
|-
|-
| (1,0)c/5
| (1,0)c/5
| style="background: #80ff80;" | 10
| style="background: #80ff80;" | {{LinkCatagolue|xq5_wo63hofz0g099pogz8c0mu0ebcz6eo9hgz48og2o31zy01|b36s23|name=10|style=raw}}<ref name="post59445">{{LinkForumThread|f=11|t=2332|p=59445|title=Re: HighLife|author=Sokwe|date=April 24, 2018|format=raw}}, in which the shortest minimal-width c/5's at w10a and w17o were found</ref>
| style="background: #80ff80;" | 17
| style="background: #80ff80;" | {{LinkCatagolue|xq5_6133gos4a4sog3316zy0erag2garezx3a32c0c23a3zy0i3ddgdd3izy1aq070qazy43|b36s23|name=17|style=raw}}<ref name="post59445" />
| style="background: #80ff80;" | 16
| style="background: #80ff80;" | {{LinkCatagolue|xq5_0cthtcwcthtczsstg042240gtsszwd10777701d|b36s23|name=16|style=raw}}
|-
|-
| (2,0)c/5
| (2,0)c/5
| style="background: #80ff80;" | 12
| style="background: #80ff80;" | {{LinkCatagolue|xq5_wggwoc88s290248ybc21vimmocahqwog8ccky3ggzoj46ms8604131243nu2hhlceaaqk6aakfgh0je31w8tl62332exe24k8311zw122|b36s23|name=12|style=raw}}{{refn|group=n|found in {{refn|name=post59427|{{LinkForumThread|f=11|t=2332|p=59427|title=Re: HighLife|author=AforAmpere|date=April 23, 2018|format=raw}}, in which the thinnest 2c/5 at w12a was found, and the thinnest even-symmetric 2c/6 (odd was a rediscovery, initially found in <ref name="post35657" />)}}; 160 cells and {{times|12|62}}, shortest at w13a is {{LinkCatagolue|xq5_x60d822zy18cqgnf8zxp0g8620gscz0g85uqogqg3zw11170h420mkz0sbwlobpa61z0ou82188z026eg9vsczy1nob8sz0ckmfd48f6z2f8ebc6|b36s23|name=156 cells|style=raw}} ({{times|13|55}})}}
| style="background: #80ff80;" | 19
| style="background: #80ff80;" | {{LinkCatagolue|xq5_08044ogy23wn4ogy0ggxg8kk08o8t3rsz110n2vm2bn0sb28222v2v8n0m8u2ksy6ms8z2a0jhf5133w3101lhf530305411048kk08c8s0ctzy93w3yg233|b36s23|name=19|style=raw}}<ref group=n>shortest at w21o (and w23o) is {{LinkCatagolue|xq5_c9hg9fky1kf9gh9czx1305860685031zy0gfna040anfgz0oo81hc6x6ch18oozeafy9fae|b36s23|name=thinner version of the w22e|style=raw}}</ref>
| style="background: #80ff80;" | 22
| style="background: #80ff80;" | {{LinkCatagolue|xq5_0u72jey4ej27uzx111766w667111zy0gbj0kook0jbgzws01h871w178h10sz6c701y6107c6|b36s23|name=22|style=raw}}{{refn|group=n|found in <ref>{{LinkForumThread|f=11|t=2332|p=59382|title=Re: HighLife|author=velcrorex|date=April 23, 2018|format=raw}}, in which the thinnest even-width 2c/5 at w22e was found, as well as a w21o from deduplicating its central column</ref>; is also shortest w24e}}
|-
| (1,1)c/5
| style="background: #ffa0a0;" | 11<br />12 <small>(LLSSS)</small><br />15 < w &le; {{LinkCatagolue|xq5_34r44gzx470g0gzx121130h12azx4178c8el14ogzy820co0kgzyetrhgiqgk0hszyf6eokg082nh808zym67033rs8ggy0gzyp445fa42homqm1zyw11651kk0oozyz3f0f316aczyzy1121bqoy384ozyzy8r2ps3i3hg0ogszyzy91y1qs9rzyzyg104770o8gzyzyn11fhio068uzyzyq1144408a0880g0gzyzyy3201kil7luozyzyz33e1j08pfh61l4zyzyzy01209c4oi6ogoogwgzyzyzy61221ce0iiem02ozyzyzyg22104668zyzyzym11scs0f7vc8gzyzyzyru62816epzyzyzysda625731|b36s23|name=17|style=raw}}<br /><small>(rlifesrc)</small><ref group=n><div class="mw-collapsible mw-collapsed">the w17a is probably not at all minimal, since it filled up most of the {{times|128|128}} search region's length; however, note that it took 879 hours running in WASM on my laptop<br />longest w15a partial:<br /><div class="mw-collapsible-content">{{headerlessRLE|........<br />.........<br />..........<br />......ooo..<br />..oo..oo....<br />.o..o........<br />oo.oo...oo....<br />.o.o....ooo....<br /> ooo.......o....<br />  .....oo..o.o...<br />   ...........o...<br />    ..oo...o.oo....<br />     o..o.oooo......<br />      o.o.ooo...o.o..<br />       ooo...o.o..o...<br />        .oo.oo.ooo.o...<br />         .........oooo..<br />          ..o.oooo..oo...<br />           .o.....o.oo..o.<br />            .....oo.ooooo..<br />             ..oo..ooo..o.o.<br />              ....o....oo..o.<br />               ..ooo.oo.....o.<br />                ...o.o...o..oo.<br />                 ..o.oo.o.o..ooo<br />                  ....ooo.....oo.<br />                   ...o....o...o..<br />                    ...o.oo........<br />                     ..o.....oooo...<br />                      .......ooo.oo.o<br />                       ....o....o.o.o.<br />                        ..ooooo...oo.??<br />                         oo.oo.oo..o???<br />                          .ooo.oo.o???<br />                           .....oo.??<br />                            .o.o...?<br />                             o.ooo?<br />                              .???<br />                               ??}}</div></div></ref>
|colspan=2 style="background: #80ff80;" | <!--21 < w &le; -->{{LinkCatagolue|xq5_4fhnc0gggzy2111eezy669rae|b36s23|name=27|style=raw}}<ref group=n>found by Sokwe in 2010<br /><div class="mw-collapsible mw-collapsed">disproof of w25 was via 5561s rlifesrc search; longest partial:<br /><div class="mw-collapsible-content">{{headerlessRLE|.............<br />.......ooo....<br />.....oo.oo.....<br />.....oo.o.......<br />....o.o..........<br />..oo.o..oo...o....<br />..ooo..oo.o.oooo...<br />.o....o.....oo..o...<br />.ooo.oo.o.o....o.....<br />.oo..o......o....o....<br />......o.o...oo..o..o...<br />...........oo...o..o....<br />......oo.ooo.......o.....<br /> ....ooo..o.........oo....<br />  ....o..........o....oooo.<br />   ...o.o........ooo.oo..oo.<br />    ...o..oo.....oo...o......<br />     ....o....ooo.oooo....o...<br />      .........ooo.oooo.o.o....<br />       ...ooo..o.oo..oo..ooo....<br />        .....o...oo....o..oo.....<br />         ....o.o.ooo.....ooo......<br />          ....ooo.oo...............<br />           ...o.....o.......ooo.....<br />            ..o...o.........oooo.....<br />             .oo...o.o....o....oo....o<br />              .o.ooooo...o.oooo.o..oo.o<br />               ....ooo....oooo.ooooo....<br />                .......oo.oo....oooo...o.<br />                 ......oo.oo.......o...oo.<br />                  .....oo.o........o...o..o<br />                   .....oo.o.......oo.....o.<br />                    .....oooo......o.....ooo.<br />                     ......oo.....oo.o.oo.o...<br />                      .....oo....o..oo.oo......<br />                       ...oooooooo....oo........<br />                        ..o....o..o....o.o.......<br />                         o.......oo...o..oo.......<br />                          o........o.ooo.o.o.o.o...<br />                           .ooo..oooo.oo.o...oo.oo..<br />                            .o...oo.......o.oo.......<br />                             ...o...oooo...oooo..o.oo.<br />                              oooo...o..o......o...oo..<br />                               .o.....o..o..o.....oo....<br />                                ........oo.o.....ooo.....<br />                                 .....oooo.........oo.....<br />                                  .....o.o......o..........<br />                                   ...o...o......oo.ooo.....<br />                                    ...o......o...oo.o..o....<br />                                     ..o.o..o..o....ooo.......<br />                                      .....oo..oo..oo.o......oo<br />                                       ..ooooo..o.o.o.oo.o..oo..<br />                                        .oo..o.o.ooo.o...o...o.o.<br />                                         ......ooo..o....oo.......<br />                                          .....o.ooo......o...o.o..<br />                                           ........o.....o.ooo.oo...<br />                                            ....o........o...oo...o..<br />                                             ......ooo.oo..ooo.o.oo.o.<br />                                              .......oo....oo...o....o.<br />                                               ........o.ooo....ooo.o...<br />                                                ...o...o.oo..oo.o........<br />                                                 .ooo..ooo..o....o........<br />                                                  o...o.o...o....o.....o...<br />                                                   .o..o.o........ooo.oo....<br />                                                    ..oo..ooo......ooo....ooo<br />                                                     ....o.o.oo..o..o..oo.o???<br />                                                      ..oo.o...o......o...o??<br />                                                       ........oo..o.o.o????<br />                                                        .o.o...ooo....o.???<br />                                                         .o.....o..o..oo??<br />                                                          .....o..o.oo.o?<br />                                                           ...oo.o.o.ooo<br />                                                            .....o.????<br />                                                             ......???<br />                                                              ..ooo??<br />                                                               .o???<br />                                                                o??<br />                                                                 ?}}</div></div></ref>
|-
|-
| (1,0)c/6
| (1,0)c/6
| style="background: #ffa0a0;" | 9
| style="background: #ffa0a0;" | 10
| style="background: #80ff80;" | 17
| style="background: #80ff80;" | {{LinkCatagolue|xq6_o404e6owg04sy0guk0sc02r19102coy0ggo80go8e9ez0ha04wrhha4weweeahy1eaewrw4ewv0hwhawha4z3404ec3w1047y01f507608rgig0863y011320132eie|b36s23|name=17|style=raw}}<ref>{{LinkForumThread|f=11|t=2332|p=25212|title=Re: Thread for Your Accidental Discoveries that Aren't in CGOL|author=velcrorex|date=November 19, 2015|format=raw}}, in which the first c/6 was found at w17o</ref>
| style="background: #80ff80;" | 18
| style="background: #80ff80;" | {{LinkCatagolue|xq6_wa1jb12w21bj1az084kk5gi22ig5kk48z48ogj12y021jgo84zwj8bsggwggsb8jzx3l45iwi54l3zo402pkkgmmgkkp204ozw1219plttlp9121zy18rgwgr8zwvt964h77h469tvz5w2sqj0oo0jqs2w5zy05ddy0dd5zwokphy2hpkozy0774y0477zwci24a3773a42iczx422y2224|b36s23|name=18|style=raw}}<ref>{{LinkForumThread|f=11|t=376|p=59423|title=Re: HighLife|author=AforAmpere|date=April 23, 2018|format=raw}}, in which the second c/6 was found at w18e</ref>
|-
|-
| (2,0)c/6
| (2,0)c/6
| style="background: #80ff80;" | {{LinkCatagolue|xq6_06hh5iiz04mggzw203tukzwc25h055zx1011uez0g433340ogz01f8gggz370s715ez0lkgz01i8c0sskozw71519azg8o80ml2z128b42l2zx8c545igz067227i4n1zxgcrr|b36s23|name=10|style=raw}}
| style="background: #80ff80;" | {{LinkCatagolue|xq6_061db404bd16z269x4x962z082nt111tn28zwhp8ogo8phzw3e43134e3|b36s23|name=13|style=raw}}<ref name="post35657">{{LinkForumThread|f=11|t=2332|p=35657|title=Re: HighLife|author=praosylen|date=September 12, 2016|format=raw}}, in which the smallest w13o 2c/6 (thinnest odd) was found, also seemingly the first 2c/6 in general</ref>
| style="background: #80ff80;" | {{LinkCatagolue|xq6_37okkcy0ckko73zx11c4224c11zxs382w283szwgl72gaag27lgzx3545225453|b36s23|name=16|style=raw}}<ref name="post59427" /><!--<ref group="n">longest w14e partial (<tt>14*61</tt>)<br />{{headerlessRLE|3bob4obo$2b2ob4ob2o$bo4b2o4bo$5b4o$3b2o4b2o$4bo4bo$3bobo2bobo$4b6o$4b6o$2b2o6b2o2$bo2bo4bo2bo2$b4o4b4o$2o2b2o2b2o2b2o2$2o10b2o$3o8b3o$2b4o2b4o$2bo3b2o3bo$3b2o4<br />b2o$4bo4bo2$4b6o$3bo6bo$6b2o$4bob2obo$3bo6bo$3bo6bo$3b8o$3bobo2bobo$4b6o$6b2o$6b2o$4b2o2b2o$2b3o4b3o$b2o8b2o$o2b8o2bo$5bo2bo$bo10bo$b2o8b2o$b2obo4bob2o$2bobo4b<br />obo$2bob2o2b2obo$4bob2obo$5bo2bo$4bo4bo$3b2ob2ob2o$2b3ob2ob3o$2bo8bo$bo10bo$bo10bo$bo2b6o2bo$5bo2bo$5bo2bo$4obo2bob4o$3bo6bo$o12bo$2bo3b2o3bo$3b2ob2ob2o$4bo4bo!}}</ref>-->
| style="background: #80ff80;" | {{LinkCatagolue|xq6_ehr48c46b20k8zwhhe72h01z0ghhg7b9vzwdc1560o|b36s23|name=15|style=raw}}<ref group="n">65 cells, {{LinkCatagolue|xq6_m69wkmh0cokccs301gxgggml920oow8seo0os0ky0s2408oy1g8c6m6ogzr4v40llwh0hr4h0e0va4lvhee0ra0hl4a4vvxvhvewealleerl444hth112858ozdciw5dh0635667o0g1x111dli8033w27e303705y0784023y1114714e02|b36s23|name=next|style=raw}} {{LinkCatagolue|xq6_km92we120s04qg2vry1ggkm34g0oogo42kgo060808s20ggc04y5gxgwgzlhr44vh0hhwrh40vh4a4lr0vwrawa4lvwvv4ahvxhlervxlcgmgiqmfjha2pso42z5di8weg80704b18vry1115do4103313485130c020278011604y632|b36s23|name=two|style=raw}} shortest w15's are tagalongs of the w15o c/3, both at 287 cells despite considerable variation</ref>
| style="background: #80ff80;" | {{LinkCatagolue|xq6_0e6oi11io6ezwd121121dz02311p99132zwgqd99dqgz0gok4774kogz57y475|b36s23|name=12|style=raw}}<ref group="n">94 cells, only other at w12 is a {{LinkCatagolue|xq6_4c4kd56mgg6s84o0o03u0228mc53bgz4645mkcd11c7243110of0882d6koq1|b36s23|name=102-cell variant|style=raw}} with a longer and thinner backend</ref>
|-
| (3,0)c/6
| style="background: #ffa0a0;" | 9
| style="background: #ffa0a0;" | 9
| style="background: #80ff80;" | 13
| style="background: #80ff80;" | {{LinkCatagolue|xq6_076g67y176g67zgk054gia0aig450kgz24cp3o6x6o3pc42z8o0oo7d9g9d7oo0o8z12r0u8he5eh8u0r21zk14s2r9c0c9r2s41kz17cimt64946tmic71|b36s23|name=17|style=raw}}
| style="background: #80ff80;" | 16 (Need confirmation)
| style="background: #ffa0a0;" | 18
|-
| (1,1)c/6
| style="background: #ffa0a0;" | 10<ref name="c/6d_lw10_disproof">{{CiteDiscord|channel=naturalistic|id=826943901427826688|author=apgoucher|date=May 31, 2021}}, in which c/6d's were disproven up to logical width 10</ref><br />13 <small>(rlifesrc)</small><!--27429s-->
|colspan=2 style="background: #ffa0a0;" | 19<ref name="c/6d_lw10_disproof" /><br />21 <small>(rlifesrc)</small><ref group=n><div class="mw-collapsible mw-collapsed">longest partial:<br /><div class="mw-collapsible-content">{{headerlessRLE|...........<br />......oo....<br />..oooo..o....<br />..ooo.o.......<br />..oo..o...oo.o.<br />..o..........o..<br />.o.oo..o..ooo....<br />.o....o.o..o.oo...<br />..o....o..o...oo.oo<br />.........oo..ooo.oo.<br />....o.o.oo...ooo.....<br /> ...o.oo....oo.o......<br />  ....o....o.o.oo......<br />   .oo.o.oooo..oo..oo...<br />    ...oooo.....oo.......<br />     ...oooooo.......o.o..<br />      ......ooo...oo.o.o...<br />       .oo....o...o..oo.o...<br />        oo......oo...oooo....<br />         ....o..o.....o.o.....<br />          ...o.................<br />           ....oooo......oo.....<br />            .....ooo....oooo.....<br />             ..oo.o....ooo..o.....<br />              ...ooo..oo...oo......<br />               ......ooo..o.oo......<br />                .....oo..oo.o..o.oo..<br />                 .....o.o..o.o.ooo.oo.<br />                  .....oooo....o.......<br />                   ......o.o....oo.oo...<br />                    ..............oooo...<br />                     .....ooo.......o.....<br />                      .....o.o....oooooo...<br />                       ...oo.o....o...ooo..o<br />                        ..o...o.oo....o.oo.o.<br />                         ..o.oo.o.....o....o?<br />                          .o.oooo...o..o.oo.?<br />                           ...o.o....oo....o?<br />                            ....oooo.o.ooooo?<br />                             ...oo..o.oo.oo??<br />                              ...oo...o.????<br />                               ...o.o.oo???<br />                                ....o.oo??<br />                                 ooo.oo??<br />                                  .?????}}</div></div></ref>
|colspan=2 style="background: #80ff80;" | {{LinkCatagolue|xq6_yzy8go6p8t6zyzy4g0s7860h89qa44t6zyzgscavb071og0c8ib2521zyvgscb7a51y1ggi3zyp8g0n051y3mhk2621zym6c6rd0o1y1g0oi8zyiosx78o0a1356ae6331zycg819701324n15d3w1221zy96064452468cce255zy2cine3hs3b9i22s11z228e13566gg0rwo321zy2130rf2o03zy5111|b36s23|name=22|style=raw}}<ref name="c/6d_lw10_disproof" /><ref>{{LinkForumThread|f=11|t=2332|p=166169|title=Re: HighLife|author=LaundryPizza03|date=September 1, 2023|format=raw}}, in which the first true-period c/6d was found at w22glide (thinnest possible)<br />the program used to find this wasn't stated, if it was ikpx2 it may not be the shortest example</ref>
|-
|-
| (1,0)c/7
| (1,0)c/7
| style="background: #ffa0a0;" | 9
| style="background: #ffa0a0;" | 9
| style="background: #ffa0a0;" | 15
| style="background: #ffa0a0;" | 17
| style="background: #ffa0a0;" | 16
| style="background: #ffa0a0;" | 18
|-
|-
| (2,0)c/7
| (2,0)c/7
| style="background: #ffa0a0;" | 8
| style="background: #ffa0a0;" | 10<ref group="n"><tt>9*40</tt> partial (9-cell-wide phase of 10-cell-wide spaceship)<br />{{headerlessRLE|5bo$4b3o$3b5o$3b5o$4bob2o$5b2o2$7bo$6b2o$5b4o$6bo$8bo$b2ob4o$b2o5bo$o$5bob2o$4b2o$5bob2o$2b2o3b2o$5bo$bobo3bo$2o2b<br />3o2$4bo$5b2o$bo3b2o$4bo$2b3obo$3bobobo$3b2o2bo$2bo2bob2o$2bo5bo$2b3o$3o2b3o$3o$bo3bobo$3o2bo2bo$6bobo$5b3o$2bo2bo!}}</ref>
| style="background: #ffa0a0;" | 15
| style="background: #80ff80;" | {{LinkCatagolue|xq7_0g84ow595wo48gz7943y53497|b36s23|name=19|style=raw}}<ref>{{LinkForumThread|f=11|t=2332|p=64436|title=Re: HighLife|author=wildmyron|date=October 6, 2018|format=raw}}, in which the first and only known 2c/7 was found at w19o (28 cells!)</ref>
| style="background: #ffa0a0;" | 16
| style="background: #ffa0a0;" | 20<ref group="n"><tt>20*79</tt> partial<br />{{headerlessRLE|7b6o$5b2o2b2o2b2o$4bo3bo2bo3bo$2b3o10b3o$2b2obob6obob2o$bob2o10b2obo$2o4bo2b2o2bo4b2o$2bo3b2o4b2o3bo$5bo2bo2bo2bo2$4bo3bo2bo3bo$3b2o10b<br />2o$6bo6bo$7b2o2b2o$3b2o10b2o$4b2o2bo2bo2b2o$6b8o$8bo2bo$4bob3o2b3obo$4bobobo2bobobo$3bo12bo$4b2o8b2o2$3bo2bo6bo2bo2$3bob2o6b2obo$4bo10b<br />o3$3bo2bo6bo2bo$3bo2bo6bo2bo$3bo2bo6bo2bo$3bo2bo6bo2bo$4b5o2b5o$4bo10bo$5b2obo2bob2o$5b3o4b3o2$4bob3o2b3obo$4bo10bo$4bobo6bobo$7b2o2b2o<br />2$6b8o$6b8o$7bo4bo$6b2o4b2o$8bo2bo$4b2o8b2o$3b3o3b2o3b3o$3bobo8bobo$3bo3b2o2b2o3bo$7bob2obo$7bo4bo2$5bo8bo$3bob2o2b2o2b2obo$3bo3bob2obo<br />3bo$4b3o6b3o$7bob2obo$2b4o2bo2bo2b4o$2bobo3bo2bo3bobo$2bobobo6bobobo$2b2o3bo4bo3b2o$3bo3bo4bo3bo$3bo4bo2bo4bo$6b8o$2b5ob4ob5o$2b2o12b2o<br />$4bo10bo$b2o14b2o$obo2b2o2b2o2b2o2bobo$2o4bo6bo4b2o$8bo2bo$3o4b2o2b2o4b3o$b2o4bo4bo4b2o$bobob2o6b2obobo$b2o2b2o6b2o2b2o$2bo3b2o4b2o3bo!}}</ref>
|-
|-
| (3,0)c/7
| (3,0)c/7
Line 59: Line 95:
| style="background: #ffa0a0;" | 21
| style="background: #ffa0a0;" | 21
| style="background: #ffa0a0;" | 22
| style="background: #ffa0a0;" | 22
|-
| (1,1)c/7
| style="background: #ffa0a0;" | 11 <small>(rlifesrc)</small>
|colspan=2 style="background: #ffa0a0;" | 21 <small>(rlifesrc)</small>
|-
|-
| (1,0)c/8
| (1,0)c/8
| style="background: #ffa0a0;" | 7
| style="background: #ffa0a0;" | 7
| style="background: #ffa0a0;" | 13
| style="background: #ffa0a0;" | 13
| style="background: #80ff80;" | 16
| style="background: #80ff80;" | {{LinkCatagolue|xq8_r28w9qc0gggscow640auxocksw66zgy1mf0vpgg9gy19p0f9p9mg90fff9996zd41w953y0331w62057x1323w66|b36s23|name=16|style=raw}}<ref>{{LinkForumThread|f=11|t=2332|p=59363|title=Re: HighLife|author=velcrorex|date=April 22, 2018|format=raw}}, in which the first c/8 was found at w16e with zfind</ref>
|-
| (2,0)c/8
| style="background: #ffa0a0;" | 8
| style="background: #80ff80;" | {{LinkCatagolue|xq8_8g0g0k64ogxggx84owggog8o88w76oigh0d4giakqe8goxrqqowg03ei88808oxaeg0g88gzwrh0hhrhxlhlxvvl0hh0valah0v0raa40hhwv4lavxee4hwaahh0aelrhhhvvhlarhhaaahr0eaa4z210105c431x11x243w11312322wsc391h0m419a5be213xrbb3w10oe9222023xae101221|b36s23|name=15|style=raw}}
| style="background: #ffa0a0;" | 16
| style="background: #ffa0a0;" | 13
| style="background: #ffa0a0;" | 14
|-
|-
| (3,0)c/8
| (3,0)c/8
| style="background: #ffa0a0;" | 9
| style="background: #ffa0a0;" | 10<ref name="p137715" /><!--was formerly 9-->
| style="background: #ffa0a0;" | 17
| style="background: #ffa0a0;" | 19<ref name="p137715" /><!--was formerly 17-->
| style="background: #ffa0a0;" | 20<ref name="p137715" /><!--was formerly 18-->
|-
| (4,0)c/8
| style="background: #ffa0a0;" | 8
| style="background: #80ff80;" | {{LinkCatagolue|xq8_o4446m5tggg4o280acgyb880o0aiqcezhha4w40hrrhhy1er0a4ee0eee0eerh0az3444cdkn11143820a61yb22030a9b6e|b36s23|name=15|style=raw}}
| style="background: #ffa0a0;" | 18
| style="background: #ffa0a0;" | 18
| style="background: #80ff80;" | {{LinkCatagolue|xq8_6rucxcur6zwgoc6sogzw37cc|b36s23|name=13|style=raw}}<ref group="n">32 cells, only other one found by gfind at w13glide is {{LinkCatagolue|xq8_0633w6uvzw137c631zcrf6x6frc|b36s23|name=this 40-cell variation|style=raw}}</ref>
| style="background: #80ff80;" | {{LinkCatagolue|xq8_6rusy2sur6z0337se11esv33zx8m196b84zy2662|b36s23|name=18|style=raw}}
|-
| (1,1)c/8
| style="background: #ffa0a0;" | 6<br />9 <small>(rlifesrc)</small><!--2190s-->
|colspan=2 style="background: #ffa0a0;" | 11<br />15 <small>(rlifesrc)</small><!--1515s-->
|colspan=2 style="background: #ffa0a0;" | 12<br />14 <small>(rlifesrc)</small><!--4813s-->
|-
|-
| (1,0)c/9
| (1,0)c/9
Line 74: Line 133:
| style="background: #ffa0a0;" | 13
| style="background: #ffa0a0;" | 13
| style="background: #ffa0a0;" | 14
| style="background: #ffa0a0;" | 14
|-
| (2,0)c/9
| style="background: #ffa0a0;" | 8<ref group="n"><tt>8*37</tt> partial<br />{{headerlessRLE|3b3o$2b2o$2bo2bo$2b3o$6bo$bo2b2o$bob2o2bo$o3bobo$4bobo$2bo2bo$3b4o$3bo$3b2o$2b2o$2bobo$2b3o2$5b2o$4b3o$6bo<br />$5bo$2bo2bo$3b5o$3bo2b2o$3bob2o$2bob2o$2bob2o$b2ob2o$b2o$b2o$2bobo$3bob2o$5bo$2b2o3bo$bo5bo$2o3bo$3bobobo!}}</ref>
| style="background: #ffa0a0;" | 15<ref group="n"><tt>15*50</tt> partial<br />{{headerlessRLE|4b2o3b2o$3bo2bobo2bo$3bobo3bobo$3bo7bo$3bob5obo$4b7o$5b5o$3bo7bo$2bobo5bobo3$2b3o5b3o$3b3o3b3o2$3bobo3bobo$3b2o<br />5b2o$2bo2bo3bo2bo$2bo9bo$b5o3b5o$ob2o7b2obo$obo9bobo$2bo9bo$2bo9bo$2bobo5bobo$2bo3b3o3bo$4b2o3b2o2$4bo5bo$4bo2b<br />o2bo$3bo2bobo2bo$3b4ob4o$4bo2bo2bo$2b2o7b2o$b2o9b2o$bobobobobobobo$2bo2b5o2bo$5bobobo$4b3ob3o$5b5o$2o4b3o4b2o$<br />bo11bo$2bob2o3b2obo$bobo2bobo2bobo$4b3ob3o$b3o2b3o2b3o$obo3b3o3bobo$2b2o2bobo2b2o$3b2o5b2o$2obo7bob2o$2ob9ob2o!}}</ref>
| style="background: #ffa0a0;" | 16<ref group="n"><tt>16*45</tt> partial<br />{{headerlessRLE|5bo4bo$4bob4obo$5bo4bo$3b4o2b4o$3b2o6b2o$4bobo2bobo$bo12bo$b2o10b2o$5bo4bo$5bo4bo$5bo4bo$5b2o2b2o$5bob2obo$4bo6bo$2b2o8b2o$3bob2o2b2obo$2b2ob2<br />o2b2ob2o$3bo2bo2bo2bo$4b3o2b3o$4b3o2b3o2$3b3o4b3o$5bo4bo$3b2obo2bob2o$3bo8bo$7b2o$3bo8bo$3bo8bo$3bo3b2o3bo$b2o2bob2obo2b2o$b2ob3o2b3ob2o$3b10o<br />$bo2bo6bo2bo$bo12bo$6b4o$2bo2b2o2b2o2bo$2bob2o4b2obo$3bo8bo$2b3obo2bob3o$6b4o$obo2b6o2bobo$5b2o2b2o$2bobobo2bobobo$obob2o4b2obobo$o4bob2obo4bo!}}</ref>
|-
| (3,0)c/9
| style="background: #ffa0a0;" | 8
| style="background: #ffa0a0;" | 13
| style="background: #ffa0a0;" | 14
|-
| (4,0)c/9
| style="background: #ffa0a0;" | 10
| style="background: #ffa0a0;" | 19
| style="background: #ffa0a0;" | 20
|-
| (4,0)c/10
| style="background: #ffa0a0;" | 9
| style="background: #ffa0a0;" | 15
| style="background: #ffa0a0;" | 16
| style="background: #ffa0a0;" | 15
| style="background: #ffa0a0;" | 16
|-
| (5,0)c/10
| style="background: #ffa0a0;" | 8
| style="background: #ffa0a0;" | 15
| style="background: #ffa0a0;" | 14
|-
| (2,0)c/12
| style="background: #ffa0a0;" | 6
| style="background: #ffa0a0;" | 9
| style="background: #ffa0a0;" | 10
| style="background: #ffa0a0;" | 9
| style="background: #ffa0a0;" | 8
|-
| (4,0)c/12
| style="background: #ffa0a0;" | 7
| style="background: #ffa0a0;" | 13
| style="background: #ffa0a0;" | 14
| style="background: #ffa0a0;" | 9
| style="background: #ffa0a0;" | 8
|-
| (6,0)c/12
| style="background: #ffa0a0;" | 8
| style="background: #ffa0a0;" | 15
| style="background: #ffa0a0;" | 14
| style="background: #ffa0a0;" | 13
| style="background: #ffa0a0;" | 12
|-
| (1,0)c/98
| style="background: #ffa0a0;" | w &le; {{LinkCatagolue|xq98_mgw4b6z31zsoz6x2d6|b36s23|name=25|style=raw}}
|}
|}
{{EmbedViewer
|rle          = x = 577, y = 96, rule = B36/S23
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|viewerconfig = #C [[ WIDTH 2920 HEIGHT 530 ZOOM 5 ]]
|position    = center
}}
Credits to Matthias Merzenich, Josh Ball and Arie Paap for some of these searches.
==Known spaceships by height==
using Matthias Merzenich's definition,
{{Cquote|a period-<tt>p</tt> spaceship's height is the minimum height of an envelope from simulating it for all <tt>p</tt> phases, with choice of initial phase}}
note that the 'strict' criterion from the lower subcells above pertains to all entries
{|class="wikitable" style="text-align: center"
|-
!rowspan="2"| Velocity !!rowspan="2"| Asymmetric !!colspan="2"| Symmetric !!colspan="2"| Glide-symmetric
|-
!odd!!even!!odd!!even
|-
| (1,0)c/2
| style="background: #80ff80;" | {{LinkCatagolue|xq2_1d88wgy9g0ggoe2zy015f28agh9a0sos0a8e2|b36s23|name=10|style=raw}}
| style="background: #80ff80;" | {{LinkCatagolue|xq2_1d88wgy3gw88d1zy015f28aga82f51|b36s23|name=10|style=raw}}
| style="background: #80ff80;" | {{LinkCatagolue|xq2_1d88wgy4gw88d1zy015f28agga82f51|b36s23|name=10|style=raw}}
|-
| (1,0)c/3
| style="background: #80ff80;" | {{LinkCatagolue|xq3_om8j1lzee602zcih33z0e0ab12z0br5gzx1|b36s23|name=7|style=raw}}<ref group="n">is 7 cells high in all phases, whereas {{LinkCatagolue|xq3_0m69zo34fszpa1hz11tk48zamkooz5eh8|b36s23|name=this one|style=raw}} is 6 cells high in two</ref>
| style="background: #80ff80;" | {{LinkCatagolue|xq3_4sjvz0gh2ea4z0gok752z23cf|b36s23|name=7|style=raw}}
| style="background: #80ff80;" | {{LinkCatagolue|xq3_25c4a8gkic689b4o49e1cmi33imc1e94o4b986cikg8a4c52zyf111y0111|b36s23|name=7|style=raw}}
|-
| (1,0)c/4
| style="background: #ffa0a0;" | 6<ref group="n">if h=7, w>42; if h=8, w>14</ref>
| style="background: #80ff80;" | {{LinkCatagolue|xq4_511cg4qmks432a234skmq4gc115|b36s23|name=7|style=raw}}<ref>{{LinkForumThread|f=11|t=2332|p=104902|title=Re: HighLife|author=JP21|date=September 26, 2020|format=raw}}, in which the shortest possible c/4 was found at h7 (also only 43 cells, a record at the time)</ref>
| style="background: #ffa0a0;" | 6<ref group="n">if h=7, w>74; if h=8, w>20</ref> < w &le; {{LinkCatagolue|xq4_cq215zx2u24ozgo02321z12245|b36s23|name=9|style=raw}}
|-
| (1,0)c/5
| style="background: #ffa0a0;" | 8<ref group="n">specified part of widest rlifesrc partial at height 7<br />{{headerlessRLE|..o..oo.o........o........<br />.oooo.....o......ooo...o.o<br />o...o..o......oo...ooo.o..<br />.o..o.oooo.oo.oooo...o....<br />.....o.oo..oooo..o.oooooo.<br />........o.ooo.....oo..oooo<br />........o...o......o.....o}}<br />and 8 (took 5 hours to disprove)<br />{{headerlessRLE|..........o...........o......o.......oo.<br />.........oo.......o...o.o...o.oo.oo.ooo<br />.oo......o.oo.....oo..o.o..oo..o.oo.oo<br />.ooo.....oo.oo..oo..ooo..o.oo.o.oo....<br />.oo.....ooo..o..o.oo.o.ooo..o......oo.<br />....oo..oo....oo.o.oo.....o.o....o..o.<br />.....oooo...oo.oo.......o.o.oo..o...ooo<br />.........................o...........oo.}}</ref>
| style="background: #ffa0a0;" | 8
| style="background: #ffa0a0;" | 8
|-
| (2,0)c/5
| style="background: #ffa0a0;" | 9<ref group="n">widest rlifesrc partial at height 9 (took 5 hours)<br />{{headerlessRLE|...........................<br />......o.....o.....ooo....o<br />.....ooo...ooo...oo.o...oo.<br />...oo.o.o.o..o....o..ooooo.<br />..o.oooo.ooo..oooooo.oo....<br />..o..ooo..o..oooo.o....o..o.<br />.o.oo.....o.oo.o....oooo.oo.<br />............o..o....oo.ooo..<br />............o.o...........o.}}</ref>
| style="background: #ffa0a0;" | 9
| style="background: #ffa0a0;" | 9
|-
| (2,0)c/6
| style="background: #ffa0a0;" | 6
| style="background: #ffa0a0;" | 6
| style="background: #ffa0a0;" | 6
| style="background: #ffa0a0;" | 6
| style="background: #ffa0a0;" | 6
|-
| (3,0)c/6
| style="background: #ffa0a0;" | 7
| style="background: #ffa0a0;" | 7
| style="background: #ffa0a0;" | 7
|-
| (2,0)c/7
| style="background: #ffa0a0;" | 7<ref group="n">widest rlifesrc partial  at h7 (took 52 hours)<br />{{headerlessRLE|..ooooo.....o<br />.....ooooooo.<br />..oooo.o..o.o<br />.o.oo.ooooooo<br />o..o....oooo.<br />....o.....ooooo<br />o...........oo.}}</ref>
| style="background: #ffa0a0;" | 7 < h &le; {{LinkCatagolue|xq7_0g84ow595wo48gz7943y53497|b36s23|name=10|style=raw}}
| style="background: #ffa0a0;" | 7
|-
| (3,0)c/7
| style="background: #ffa0a0;" | 8<ref group="n">widest rlifesrc partial at h8 (took 30 hours)<br />{{headerlessRLE|...........o....<br />..o.......ooo.oo<br />.ooo....oo..o...<br />.o.oo.ooooo.ooo<br />.ooooo...o.o.o.<br />....o...o..ooo.<br />.....o.....oooo<br />..............o}}</ref>
| style="background: #ffa0a0;" | 8
| style="background: #ffa0a0;" | 8
|}
{{EmbedViewer
|rle          = x = 98, y = 25, rule = B36/S23
9b3o3b2o20b3o32b4o$5b3ob3ob2o2b2obo12b3ob3ob3o24b3ob4ob3o$5bo3bobo8b2o11bo3bobo3bo24bo3bo2bo3bo$4b2obo5bo3bob2o11b2obo5bob2o22b2obo6bob2o$14b2o4b3o$2b3obo13bo9b3obo7bob3o18b3obo8bob3o$b2o20b3o3b2o15b2o16b2o16b2o$bo23bo3bo17bo16bo18bo$2o26b2o17b2o14b2o18b2o$25b2o2$4b2ob3o3b2o20b3ob3o27b3o4b3o$2b2obob3o2bo2bob3ob2obo6bo3bobobobo3bo10b3o6bo5b2o2b2o5bo6b3o$4bo2b2o2bo3bo5b2ob2o4bo2bobo5bobo2bo5bob2o3bob3obob2obo6bob2obob3obo3b2obo$b2o2bo5b2o4bobobobo2bo2b2o2b2o2bobo2b2o2b2o3b3o3bob2o3bobobob2o4b2obobobo3b2obo3b3o$bo5bo3b2o3b2obo5bo5b2o5bo5b2o4bo3bo3bobo2bo4bo2b6o2bo4bo2bobo3bo3bo$bobobo10bo14bo13bo5bo10b2o3bobo3b2o3bobo3b2o10bo$17bo14bo11bo2$25b3o7b2obob2o7b3o$26bo3b2ob3o2bo2b3ob2o3bo$28b3obobobobobobobob3o$32bo11bo$34bo7bo$34bo7bo!
|viewerconfig = #C [[ WIDTH 840 HEIGHT 240 ZOOM 8 ]]
|position    = center
}}


x = 397, y = 73, rule = B36/S23
==Notes==
4bo15bo15bo10bo12bo12bo3bo13b2o9bo15b3ob3o11bo6bo9bo7bo5bo7bo6bo9b3o8b
<references group="n" responsive="0"><!--prevents multiple columns-->
o11bo8b3o4b3o14bo18bo14bo16bo10bob3obo12b2o6b2o10bo5bo11bo4bo15b2o$2b
</references>
2ob2o11b2ob2o11b2ob2o6b2ob2o8b4o7b3ob5ob3o5b2obo2bob2o5bo16bo3bo12bo6b
==other such tables alike this==
o8b3o5b3o3b3o5b3o4b3o8bobo7bobo9bobo29b4o16bobo12b3o14b3o9bo5bo11bo2bo
*[[LifeWiki:Spaceship Search Status Page]]
4bo2bo8bobo3bobo9b8o13bo2bo$bo2bo2bo9bo2bo2bo9bo2bo2bo4bo2bo2bo7bo3bo
*[[User:DroneBetter/userspace rule pages#Spaceship Search Status Page-style pages|list of userspace pages]]
5bo5bobo5bo4b2o6b2o4bobo31bobo4bobo7bob2o4bob2ob2obo5bob2o2b2obo7b2o2b
==References==
3o3bo2bo3b3o3bo2bo5b2ob2o2b2ob2o10b2obo13bo2bo3bo2bo8bobo14bobo7b2o7b
<references>
2o8b2o2b2o2b2o2b2o7bo2bobo2bo8bo3b2o3bo12bo2bo$o3bo3bo7bo3bo3bo7bo3bo
<ref name="p137715">{{LinkForumThread
3bo2bo3bo3bo6bo10b2o9b2o5bobo4bobo19bobo5bobo26b3o5b3ob3o7b3o2b3o8bobo
|f=11|t=2332|p=137715
  8bo3b2o3b2o3bo6b2ob2o2b2ob2o9b2obo2b2o8bob2o2bobo2b2obo8bobo10bobo8bob
|title = Re: HighLife
2o5b2obo8bo2bo4bo2bo8bo2bobo2bo9b3o2b3o14b2o$o7bo7bo7bo7bo7bo2bo7bo6b
|author = LaundryPizza03
4o13bo13b2o2b2o6bobo11bo2b7o2bo7bobo4bobo8b2o6b2o3b2o7b2o4b2o10b2o10bo
|date  = November 16, 2021
3bo3bo10b3o4b3o11bobob3o7b2o13b2o7bo2bo8bo2bo9bob2o3b2obo9bo3bo2bo3bo
|format = raw}}, in which 3c/8 spaceships of logical width &le;10 were disproven</ref>
10bo3bo9b5o2b5o12b2o$2b2ob2o11bo3bo11b2ob2o6b2ob2o24bobo11b2ob2ob2o5b
</references>
2o13bo3bobo3bo63b2o2bobo8bo2bobo2bo10bo8bo11b2o2bo8bo3b2o7b2o3bo6bo3bo
6bo3bo14bo17bo4bo11bo7bo7bobo2b2o2bobo7b2obo4bob2o$bobobobo7bobo2bo2bo
bo7bobobobo4bobobobo9b2o7b2ob2o3b2ob2o8bo2bo10b2o11bo2bobo2bo8bobobo2b
obobo62bobo17b2o13bob2o15bo9bo10bo4bo4bo4bo31b2o4b2o9b3o5b3o7b4o2b4o8b
o3bo2bo3bo$3b3o8b2obobobobob2o8b3o8b3o12b2o6b2o9b2o6bo6bo8b2o11b2obobo
b2o12b4o51bo3bo7bobo3bobo8b3o2bo2bo2b3o7b3ob2o2bo7bo3bo7bo3bo12bo4bo
17bobobo13bob6obo28bo4bo15b2o$3bob3o5b2o4bobo4b2o7bob3o4b3obo12b2o6bob
3o3b3obo6bo6bo6bo2bo8b5o5b5o4bo2bobo2bobo2bo46bo2b2o6bo3bobo3bo7b3o8b
3o7bob2o3bo12bo7bo13b2ob2o2b2ob2o14b5o10b2obob6obob2o4bo11bo6bobo4bobo
8bo3b4o3bo$2bobo7bo3bo2b3o2bo3bo5bobo10bobo10b3o8b2o5b2o22bo3bo11b7o9b
2obob2obob2o48b3o8bobo3bobo8b4o6b4o10bo14bo11bo11bobob4obobo15bobo12bo
12bo7bob5obo7b2o8b2o12b2o$b6o8bo2bo3bo2bo7b6o6b6o5b2obo3b2o5b2o7b2o7b
8o20b2o2bobo2b2o8bo3b2o3bo50b2o27b2ob4ob2o9b3obo13bobo7bobo12bo3b2o3bo
15b2ob2o12bob2o4b2obo10b5o9b2o8b2o8b3o4b3o$3obo7b2o13b2o3b3obo3b4o3bob
3o4b2o29b2o6b2o5b2o2b2o7bo2b3ob3o2bo7b3o4b3o45bo5bo7b2o7b2o12b4o10b2o
2bo16b2o7b2o16bo2bo18bo3bo11bo2b2o4b2o2bo9b5o10bobo4bobo9bob2o2b2obo$b
obo14b2ob2o10bobo5b2o5bobo5b2obo4bo5b2o2bobo2b2o36b2obobob2o10b3o2b3o
44b2obobobo8bob2o3b2obo9bo2b4o2bo7b2o19bo9bo13b2o6b2o13b2o5b2o8b2ob2o
6b2ob2o5b2o3bo3b2o7b3o4b3o11bo4bo$b2obo28b2obo4b2o4bob2o5b4o2bo6bo3b5o
3bo21b4o12bo3bo12bo6bo46b2o5bo6bo3bobo3bo9bo8bo7b2o2b3o16bo2bo2bo15b2o
6b2o13b2o5b2o10b2o8b2o8b9o10bo4bo$3bo31bo12bo8bo3bo7bo2bo2bo2bo2bo21b
4o27bo2b2o2b2o2bo44b2o3b2o45b2o18bo3b3o3bo37bo5bo9bobo10bobo6bo2bobo2b
o26bo2bob2obo2bo$3b2o30b2o10b2o11bo11bo5bo24b2o12b4ob4o9bo2b4o2bo47b2o
bo10bobobobo30b3o2bo18bo59b3o8b3o26b2o2b2o11bo3b2o3bo$58bo3bo6b13o25b
2o7b2o7b2o6bo3bo4bo3bo42bo15b3o3b3o30b2obo17b2ob2o17b3o2b3o13b2o7b2o
29b2o5b2o10b6o10b5o2b5o$60bo7b2o5bo5b2o18b3o3bobo9bo3bo10bo10bo48bo10b
obo3bobo34b2o14bo5bo16b3o2b3o15bo5bo13bo6bo28b8o13bo2bo$75bo28b2o3b2o
9b3o9b5o6b5o46bo13bobo36bo2bo12b3obob3o12b4o6b4o12bo5bo12bo8bo12bobo
10bobo6bobo7bo10bo$73b2ob2o31bo9b5o8b2o5b2o5b2o58b2o3b2o33b3o15bo2bo2b
o11bo2bo10bo2bo7bo11bo7b2ob2o4b2ob2o8b3ob3o8bo2bo4bo2bo8bo8bo$75bo29bo
bobo5b2ob3ob3ob2o5b2o10b2o43bo2b2o14bo35b4o15b2o3b2o11bo3bo8bo3bo6bobo
9bobo9b2o4b2o9b2o2bobo2b2o5bob3o4b3obo6b2o8b2o$75bo26b3o2bo6bo2bo2bobo
2bo2bo4b2o10b2o43bob4o10bo2bo2bo33bobo16bo3bo12b2o2bo8bo2b2o8bobo5bobo
7bo14bo8bo3bo7b2ob3o4b3ob2o$106b3o6bobobo3bobobo9bo4bo48bo17bo37bobo
14bob3obo11b5o8b5o8b2o7b2o7bo3bobo2bobo3bo5bobo5bobo8bo6bo$105b2ob2o7b
2o5b2o7b2ob3o2b3ob2o116bo3bo3bo11bobo10bobo7b2o11b2o7b3o2b2o2b3o10bo3b
o7b2o12b2o7b2o4b2o$103b2o2bobo6b2o7b2o6b3ob2o2b2ob3o43bob2o12b3ob3o33b
2o14bo3bobo3bo32bo2bo9bo2bo7b2obo2bob2o45bobo4bobo$103b2o5bo7bo5bo8b5o
4b5o43b3o13b3ob3o33b3o12bo2b2o3b2o2bo32bo4bo3bo4bo8bo2bo2bo2bo45b2obo
2bob2o$102b2o11bo11bo64b2o14bobo38bo10bo13bo31bo4b5o4bo8b3o4b3o$105bo
2b2o5b2o9b2o7b3o4b3o102b3o9b2o2b2o5b2o2b2o35bobobo12bobo2b2o2bobo47bo
2bo$104b2o10bo2bo3bo2bo8bob6obo102bo11b7obob7o31bo4bobo4bo6b2o12b2o44b
2o2b2o$103bo3bo7b2o2bo3bo2b2o10bo2bo105bo12bo2b2ob3ob2o2bo31bobobo5bob
obo4bobo12bobo44bo2bo$104b3o11bobobobo10bo8bo100bo3bo15b2ob2o36bo3bo2b
o2bo3bo4bobob2ob4ob2obobo42bob4obo$105b2o8bo11bo7b2o6b2o100bo3bo17bo
42bobobobo11b2o2b4o2b2o44b2o6b2o$104bo11b2o7b2o8b3o4b3o98b6o61b2o3b2o
13bob4obo45b2o8b2o$103bobo10b3o5b3o10bob2obo99b2o20b2o3b2o38bobo3bobo
64b2o10b2o$102bo15bo5bo12bo4bo98b2o2bo2b2o15bobobo39bo7bo64b3o8b3o$
105bo13b2ob2o14bo2bo98b2o2b6o16b3o39b3o5b3o11b3o2b3o45bobo6bobo$104b2o
12b2o3b2o12bo4bo101bo2b2o17b3o39b2o7b2o12b2o2b2o46b3o6b3o$118bo5bo11bo
6bo98bobob2o14b3o5b3o39b3o16bob2obo48b2o4b2o$137bob2obo98b2ob2o15bo3bo
3bo3bo38b3o16b6o44b2o12b2o$117b2o5b2o135b2ob2o3b2ob2o34b3o5b3o13b4o$
137bo4bo101bo17b2o2bobo2b2o55bo10bo$138b4o99b3o18b3o5b3o54bobo3b2o3bob
o$137b6o98b2o83bo3bobo2bobo3bo$137b6o98bob2o2b3o12b2o7b2o39b3o14b2o2b
2o2b2o$245b3o2bo62bo14bob2o4b2obo$245bo64bo5bo9b2o2b2o4b2o2b2o$244b3o
61b2ob2ob2ob2o7bobob3o2b3obobo$242bobobo2bo62bobo11bobo10bobo$242bo2bo
62b2ob2ob2ob2o7bo14bo$246bo63bo5bo11bob8obo$242b2o3bo83bob2obo$242bo4b
2o59b4obob4o9b3o6b3o$243bobob2o58bob2o5b2obo9b2o6b2o$247bo59b2o9b2o9bo
8bo$247b2o60b9o11b3o4b3o$245bo2bo$247b3o60b3ob3o$248b2o61b2ob2o$309bo
7bo10bo10bo$245bobo62b2obob2o9b2ob2o6b2ob2o$244b2o66bobo13bo10bo$246bo
62b2ob3ob2o10b3o6b3o$312b3o14bobo4bobo$328bo2bo4bo2bo2$312bobo17bo2bo$
313bo14bo3bo2bo3bo$328b2o2bo2bo2b2o$330bo6bo$329b2o6b2o$327bobo8bobo$
327bo12bo$328b2o8b2o!
 
Credits to Matthias Merzenich and Josh Ball for some of these searches.

Latest revision as of 01:41, 19 August 2026

where entries are bifurcated in twain vertically, the lower one is strict (must not be of a subsymmetry or comprised of disjoint objects)

diagonal spaceship speeds are measured in half-diagonal

Known spaceships by width

Velocity Asymmetric Symmetric Glide-symmetric
odd even odd even
(1,0)c/2 9[n 1] 17 20
(1,0)c/3 10[n 2] 15 12
(1,0)c/4 10[n 3] 15[n 4] 16[n 5]
(2,0)c/4 5 11 12 5[n 6] 12
10 15 18[n 7] 14[n 8]
(1,1)c/4 4 11 4[n 9]
10 13
(1,0)c/5 10[3] 17[3] 16
(2,0)c/5 12[n 10] 19[n 11] 22[n 12]
(1,1)c/5 11
12 (LLSSS)
15 < w ≤ 17
(rlifesrc)[n 13] 		27[n 14]
(1,0)c/6 10 17[7] 18[8]
(2,0)c/6 10 13[4] 16[5] 15[n 15] 12[n 16]
(3,0)c/6 9 17 18
(1,1)c/6 10[9]
13 (rlifesrc) 		19[9]
21 (rlifesrc)[n 17] 		22[9][10]
(1,0)c/7 9 17 18
(2,0)c/7 10[n 18] 19[11] 20[n 19]
(3,0)c/7 11 21 22
(1,1)c/7 11 (rlifesrc) 21 (rlifesrc)
(1,0)c/8 7 13 16[12]
(2,0)c/8 8 15 16 13 14
(3,0)c/8 10[13] 19[13] 20[13]
(4,0)c/8 8 15 18 13[n 20] 18
(1,1)c/8 6
9 (rlifesrc) 		11
15 (rlifesrc) 		12
14 (rlifesrc)
(1,0)c/9 7 13 14
(2,0)c/9 8[n 21] 15[n 22] 16[n 23]
(3,0)c/9 8 13 14
(4,0)c/9 10 19 20
(4,0)c/10 9 15 16 15 16
(5,0)c/10 8 15 14
(2,0)c/12 6 9 10 9 8
(4,0)c/12 7 13 14 9 8
(6,0)c/12 8 15 14 13 12
(1,0)c/98 w ≤ 25
x = 577, y = 96, rule = B36/S23 3b3o7b3o12b3o12b3o3b3o8b3o5b3o6b3o3b3o5b3o6b3o8b3o9b3o4b3o6b3o6b3o4b3o8b3o5b5o13b3o10b3o14b3o5b3o6b3o7b2ob3ob3ob2o5b3o3b3o6b3o4b2o6bob4obo5bob4obo7b3o2b3o14b3o14b3o5b3ob3o8b3o4b3o8b3o4b3o9b3o4b3o4b3o10b3o10b4o4b4o11b4o11b3o13b3o2b2o$2b2ob2o5b2ob2o10b2ob2o11bo2bobo2bo7bo2bo2bo2bo2bo4bo2bo2bo2bo5bo2bo4b2ob2o6b2ob2o8bo2bo2bo2bo5bo2bo5bo2bo3bo2bo8bo2bo4bobob2o8bo2bo3bo2bo5bo2bo14bo2bo3bo3b2o3bo3b2o5b2o4bo4b2o4bo2bo3bo2bo5bo5b2obo4b2ob4ob2o3b2ob4ob2o5bo3b2o3bo13bobo15bo7bo3bo10bo6bo9bobo3bob2o4bo4b2obo2bo3bo2bo3bo4b2o3bobo3b2o4bob2obo2bob2obo10b4o11bo2bo11bo2bo3b2o$b2obob2o3b2obob2o8b2obob2o8bo11bo4b2ob4ob4ob2o6bo5bo5bo6b2obob2o4b2obob2o6bo3bo2bo3bo7bo8bo6bo8bo6b2ob2obo6b2ob4ob4ob2o7b2o10b2o7bo2bo5bo2bo6bo2bob5obo2bo3bobobobobobo5bo3bob2ob2o2bo4b2o4bobo4b2o4bo4b2obo2bob2o9bo3b3o3bo48b3o2b2o2bo5b2ob2o5bo2bo3bo2bo3bo5b2o2b3o2b2o45b2o13b2o3bo$2o5b2ob2o5b2o6b2o5b2o7bo2b2o3b2o2bo4bob2obo3bob2obo6bo5bo5bo5b2o5b2o2b2o5b2o6b3o4b3o8bo8bo2bo3bo8bo3bo3bo2bo7bo3b2o5b2o3bo6b2o10b2o33bo12b2o3b2o4b2o3bob2obobo7b4o9b4o7b2o2bo2bo2b2o6b2obo7bob2o10bo3bobo5bobo25bobo7b2obob2o8b3o4b3o4b2o3b2ob2o3b2o3bo2bo6bo2bo$bob3obo3bob3obo8bo5bo8bobo2b3o2bobo3b2o3bo2bo2bo3b2o2bobo3bobo7bobo3bob3obo4bob3obo5b3o8b3o3bobo3bobo2bo3bo3bo8bo3bo4b2o7bo17bo5bobo8bobo8b2ob2o4b2ob2o39bob2o10b2o4b2o5b2o4b2o10b2o10bo3b2o5b2o3bo6b4o2bo2b7o2bo5b3o4b3o8b2o8b3o3b3o9bob2obo10b2o3b2o9bo8bo9bob2o2b2obo$b3ob3o3b3ob3o7b2o5b2o23bo2bobo5bobo2bo14bo9b3ob3o4b3ob3o6bo2bo4bo2bo5b3obobobo9bo2b4o2bo7bo2b2ob2o3bob3o7b3obo3bo2b4o6b4o2bo25bob2obob2obo6bo7bo10bob3o7bo4bo7bo4bo7b2o6b2o9b2o7b2o8b3o5bo3bobo3bo8b2o2b2o8bobo2b2o6bo5bo8b4o2b4o7b2o5b2o9bo6bo9bobo6bobo10b2obo5bob2o7b2o$23b2obob3obob2o4b2o11b2o5bob3ob3obo16bobo32b2obo4bob2o7bo5b3o4bobo2bob2obo2bobo4b6ob2o24bob4o4b4obo7bo8bo9b2ob2obob2ob2o3b2o9b2o19bobo2bobo5bobo2bobo7b2ob2ob2o6bo3b2o7b2o3bo3bo2bo6bo2bobo2bo7bo2bo2bo2bo18b3obob3o7b3o4b3o27b4o16b2o15b2obo5bob2o8bo2b2o$b2o2bo5b2o2bo6bobo3bobo3bobo3b6o3b6o2bob2o3bobo3b2obo12bo3bo9bo2b2o4b2o2bo8b2o8b2o7bo3b2obo10bob2obo11b2o3b2o4b3o7b3o9bo3bo2bo3bo8b2o7b2o8bo3bo5bo3bo3bo4bo4bo8bo2bo9b6o7b6o7b2o6b2o5b2obo11bob2o3b4o6b2obobob2o6b3o2b2o2b3o4bo3bo8bo7bo6bo3bo2bo3bo8bo3bo8b4o6b4o6bo10bo12bo7bo8bobo3b2o$2bobobo5bobobo5b2obo2bobo2bob2o4b2ob2o3b2ob2o7b2o5b2o16bo3bo8bobobo6bobobo6bo12bo5b2obo5bo9b2ob2o13b2o2bo6b2o7b2o10bob3o2b3obo46bo7bo10b2o10b6o7b6o7bo8bo7bo13bo12b5o5b5o3b2obo4bob2o4b2o2bo8b3o3b3o5b2o2bob2obo2b2o4bo2bo3bo2bo4bo14bo46b2o3bo$bobobobo3bobobobo4b3o2b2ob2o2b3o6b3o3b3o6bo3b2o3b2o3bo13bo4bo6bobobobo4bobobobo5b3o8b3o4b3o2bo4bo9bobobo14b2o2bo5bo9bo11b2obo2bob2o8bo2b2obo4b3o8b2obo3bob2o22b2obo2bo6b2o6b2o3b2o6b2o5bobo4bobo26b2o2b2o6b7o9b2ob2ob2o7b3o10bobobobo6b4o6b4o5b2o5b2o7b2ob2o2b2ob2o7b2obo4bob2o27bobo4bo$8bo9bo2b2o5b3o5b2o21bobobo3bobobo19bo5bo8b2o8bo6b2o6b2o6bobo8bo7b2ob2o16b4o29b2o2b2o9b6ob2o5b2o8b2o5b2o8b7o8bo2bob2o34bo8bo36b2o2bobo2b2o6bo3b2o3bo6b2o9bobo5bobo6bo8bo24b2o6b2o13b2o32bo3b6o$5bo2bo6bo2bo8b2ob2o11b2o5b2o7bob2obobob2obo15bo2bo6bo2bo4bo2bo4bo2bo6b3o4b3o6bobo5b3o8b2obob2o13bo3bo4bobo7bobo7bo2b2o6b2o2bo4b2ob2o4bo2bobobo6bob2o3b2obo6b2o5b2o6b3o11bo8bo3bo8bo6bobo2bobo27bo4bo3bo2b3ob3o2bo8bo2bo9bo5bo4b4o3b4o6b4o2b4o9b5o10bobo4bobo10b2o4b2o30bo2b4obo$4bobo7bobo44bo2b3o2bo18b2o9bobo10bobo4b4o2bo4bo2b4o2b2o6b2o11bo2b2o13bobo7b2o3bo3b2o12bo6bo12b3o8b3o5b2ob2ob2ob2o7b2o3b2o7b3obo13b2o10b2o11bo6bo28bo2bo6b2obobob2o7b3o4b3o7bobobob2o6bobo14b2o12b7o5bo16bo4b2o8b2o30b2o4bo3b2o$4bo2bo6bo2bo40b2obo2bobo2bob2o25bo2bo4b2o4bo2bo6bob2o4b2obo6b2o6bob2o12bo13bobo11bobo13bo12bo8bo3b2o6b2o6b2o3bo3b2o5bo2bo3bo2bo5b2ob5o23b2o46bo3bo7bo3bo9b4o2b4o5bo5b2o5bo2bobo2bo11b2o12b2obob2o6b2o12b2o8b2o2b2o35b2o7b2o$57bobo3bobobo3bobo45bo5bo4bo5bo3bo7bo11bo2bo13bob2o10b2ob2o13bo10bo9bob2o8b3o5b4o3b4o7b2o3b2o8bobobob2o21bo2bo10bo4bo28b2o2bo21bobo2b2o2bobo5b2o3b2o40bo3bo8b3o8b3o8b2o4b2o34b2o5bobo$4b2o8b2o42bob2o3bo3b2obo27b2o10b2o7bo3bo4bo3bo8b3ob3o11bo14bob4o9bo3bo16b2o2b2o11b5o7b2ob2o2b2o11b2o4b2o5b2o10b2ob2o21b4o10b2o2b2o27b2o2bo7b4ob4o6bo3b4o3bo6bob2o8b3ob3o25bob2ob2obo6bobo8bobo6bob2ob2ob2obo38bob2o2bo$13bo43b2ob2ob2ob2ob2ob2o46b2o2bobo2bobo2b2o4bo2b3o14bo2bo11b2o2b3o8b2obob2o14b2o4b2o12bo8bo13b3o28bo3bo22b4o12b2o27b2ob2ob3o4b2o7b2o3bo3bo6bo3bo10bo4b2o5b2o26b2ob2o8bobo8bobo6bo10bo37b2obob4o$13bo2bo45b2o3b2o51b2o2bobo2bobo2b2o4bo3bobo15bo11b3o2bo12bobo44bobo2b2o2bo13bo21b6o34b2o6b2o23b2o4b3o7bo3bo6bo2bo8bo2bo5bo11b2ob2o26b3o3b3o9bo6bo9b4o4b4o35bobo3b2o2bo$13bo2bo45bo5bo51b2o2b2ob2ob2o2b2o42b2o10bob3obo10b4o8b4o16bo12b7o9b3ob3o9bo2b3o20b2o4b2o5b3o6b3o23bo2b3o10b3o9bo10bo7bo11b2ob2o25b2o7b2o6b3o6b3o9b2o4b2o36b5o4bo$13b2obo45b3ob3o52b3o8b3o39b2o30b3o12b3o18bo11bobo10b2ob3ob2o34b2o4b2o5bo2bo4bo2bo26bob2o8b5o37bo3bo3bo22b3o3bo3b3o4bo2b3o2b3o2bo8bo6bo34bo2b3obob2o5bo$14b2o44bobo5bobo51b4o4b4o40b3o2b2o10b5o10bo4bo6bo4bo16bob2o11bo11bo2b3o2bo35b6o5bob3o4b3obo26b3o4b2ob3ob3ob2o3b2o10b2o6b2o2bo9bo26b2o4bo4b2o5b2obo4bob2o8bo8bo33bobo3b4o5bobo$13b2o44b2obo5bob2o52b3o2b3o43bo15b2ob2o11b4o8b4o21b2o21b2obobob2o35bo4bo4b2o12b2o21bo4b2o3bo2bo2bobo2bo2bo4b4o2b4o7b4obo6b2obob2o23b3o2bobo2b3o5bo3bo2bo3bo8bo8bo34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#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 2920 HEIGHT 530 ZOOM 5 ]]
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Credits to Matthias Merzenich, Josh Ball and Arie Paap for some of these searches.

Known spaceships by height

using Matthias Merzenich's definition,

note that the 'strict' criterion from the lower subcells above pertains to all entries

Velocity Asymmetric Symmetric Glide-symmetric
odd even odd even
(1,0)c/2 10 10 10
(1,0)c/3 7[n 24] 7 7
(1,0)c/4 6[n 25] 7[14] 6[n 26] < w ≤ 9
(1,0)c/5 8[n 27] 8 8
(2,0)c/5 9[n 28] 9 9
(2,0)c/6 6 6 6 6 6
(3,0)c/6 7 7 7
(2,0)c/7 7[n 29] 7 < h ≤ 10 7
(3,0)c/7 8[n 30] 8 8
x = 98, y = 25, rule = B36/S23 9b3o3b2o20b3o32b4o$5b3ob3ob2o2b2obo12b3ob3ob3o24b3ob4ob3o$5bo3bobo8b2o11bo3bobo3bo24bo3bo2bo3bo$4b2obo5bo3bob2o11b2obo5bob2o22b2obo6bob2o$14b2o4b3o$2b3obo13bo9b3obo7bob3o18b3obo8bob3o$b2o20b3o3b2o15b2o16b2o16b2o$bo23bo3bo17bo16bo18bo$2o26b2o17b2o14b2o18b2o$25b2o2$4b2ob3o3b2o20b3ob3o27b3o4b3o$2b2obob3o2bo2bob3ob2obo6bo3bobobobo3bo10b3o6bo5b2o2b2o5bo6b3o$4bo2b2o2bo3bo5b2ob2o4bo2bobo5bobo2bo5bob2o3bob3obob2obo6bob2obob3obo3b2obo$b2o2bo5b2o4bobobobo2bo2b2o2b2o2bobo2b2o2b2o3b3o3bob2o3bobobob2o4b2obobobo3b2obo3b3o$bo5bo3b2o3b2obo5bo5b2o5bo5b2o4bo3bo3bobo2bo4bo2b6o2bo4bo2bobo3bo3bo$bobobo10bo14bo13bo5bo10b2o3bobo3b2o3bobo3b2o10bo$17bo14bo11bo2$25b3o7b2obob2o7b3o$26bo3b2ob3o2bo2b3ob2o3bo$28b3obobobobobobobob3o$32bo11bo$34bo7bo$34bo7bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 840 HEIGHT 240 ZOOM 8 ]]
(click above to open LifeViewer)

Notes

  1. ↑ 46 cells, only other at w9a is a 48-cell backend variant
  2. ↑ found in [1], 43 cells; see also shortest w11a (40 cells), shortest w12a (40 cells, same frontend as the turtle)
  3. ↑ 84 cells, shortest/smallest w11a is 47 cells, both were first found in [2]
  4. ↑ 157 cells
    shortest/smallest w17o is 69 cells, w19o is 60, w27o is 43
  5. ↑ 168 cells
    shortest/smallest w18e is 124 cells, w20e is 32
  6. ↑ unique second-thinnest nontrivial (after xWSS's) is a width 11
  7. ↑ see https://catagolue.hatsya.com/census/xq4_wgkr996w699rkgzwonm03y030mnozk44c3buy0ub3c44kz0evgge968869eggvezxdt3fa44af3tdzy0ev5sws5ve/b36s23 (cannot be directly linked inline due to substring)
  8. ↑ 74 cells
    second-shortest w14 is 98 cells
  9. ↑ unique second-thinnest nontrivial is a width 14
  10. ↑ found in [5]; 160 cells and 12 × 62, shortest at w13a is 156 cells (13 × 55)
  11. ↑ shortest at w21o (and w23o) is thinner version of the w22e
  12. ↑ found in [6]; is also shortest w24e
  13. ↑
    the w17a is probably not at all minimal, since it filled up most of the 128 × 128 search region's length; however, note that it took 879 hours running in WASM on my laptop
    longest w15a partial:
    ........
    .........
    ..........
    ......ooo..
    ..oo..oo....
    .o..o........
    oo.oo...oo....
    .o.o....ooo....
     ooo.......o....
      .....oo..o.o...
       ...........o...
        ..oo...o.oo....
         o..o.oooo......
          o.o.ooo...o.o..
           ooo...o.o..o...
            .oo.oo.ooo.o...
             .........oooo..
              ..o.oooo..oo...
               .o.....o.oo..o.
                .....oo.ooooo..
                 ..oo..ooo..o.o.
                  ....o....oo..o.
                   ..ooo.oo.....o.
                    ...o.o...o..oo.
                     ..o.oo.o.o..ooo
                      ....ooo.....oo.
                       ...o....o...o..
                        ...o.oo........
                         ..o.....oooo...
                          .......ooo.oo.o
                           ....o....o.o.o.
                            ..ooooo...oo.??
                             oo.oo.oo..o???
                              .ooo.oo.o???
                               .....oo.??
                                .o.o...?
                                 o.ooo?
                                  .???
                                   ??
  14. ↑ found by Sokwe in 2010
    disproof of w25 was via 5561s rlifesrc search; longest partial:
    .............
    .......ooo....
    .....oo.oo.....
    .....oo.o.......
    ....o.o..........
    ..oo.o..oo...o....
    ..ooo..oo.o.oooo...
    .o....o.....oo..o...
    .ooo.oo.o.o....o.....
    .oo..o......o....o....
    ......o.o...oo..o..o...
    ...........oo...o..o....
    ......oo.ooo.......o.....
     ....ooo..o.........oo....
      ....o..........o....oooo.
       ...o.o........ooo.oo..oo.
        ...o..oo.....oo...o......
         ....o....ooo.oooo....o...
          .........ooo.oooo.o.o....
           ...ooo..o.oo..oo..ooo....
            .....o...oo....o..oo.....
             ....o.o.ooo.....ooo......
              ....ooo.oo...............
               ...o.....o.......ooo.....
                ..o...o.........oooo.....
                 .oo...o.o....o....oo....o
                  .o.ooooo...o.oooo.o..oo.o
                   ....ooo....oooo.ooooo....
                    .......oo.oo....oooo...o.
                     ......oo.oo.......o...oo.
                      .....oo.o........o...o..o
                       .....oo.o.......oo.....o.
                        .....oooo......o.....ooo.
                         ......oo.....oo.o.oo.o...
                          .....oo....o..oo.oo......
                           ...oooooooo....oo........
                            ..o....o..o....o.o.......
                             o.......oo...o..oo.......
                              o........o.ooo.o.o.o.o...
                               .ooo..oooo.oo.o...oo.oo..
                                .o...oo.......o.oo.......
                                 ...o...oooo...oooo..o.oo.
                                  oooo...o..o......o...oo..
                                   .o.....o..o..o.....oo....
                                    ........oo.o.....ooo.....
                                     .....oooo.........oo.....
                                      .....o.o......o..........
                                       ...o...o......oo.ooo.....
                                        ...o......o...oo.o..o....
                                         ..o.o..o..o....ooo.......
                                          .....oo..oo..oo.o......oo
                                           ..ooooo..o.o.o.oo.o..oo..
                                            .oo..o.o.ooo.o...o...o.o.
                                             ......ooo..o....oo.......
                                              .....o.ooo......o...o.o..
                                               ........o.....o.ooo.oo...
                                                ....o........o...oo...o..
                                                 ......ooo.oo..ooo.o.oo.o.
                                                  .......oo....oo...o....o.
                                                   ........o.ooo....ooo.o...
                                                    ...o...o.oo..oo.o........
                                                     .ooo..ooo..o....o........
                                                      o...o.o...o....o.....o...
                                                       .o..o.o........ooo.oo....
                                                        ..oo..ooo......ooo....ooo
                                                         ....o.o.oo..o..o..oo.o???
                                                          ..oo.o...o......o...o??
                                                           ........oo..o.o.o????
                                                            .o.o...ooo....o.???
                                                             .o.....o..o..oo??
                                                              .....o..o.oo.o?
                                                               ...oo.o.o.ooo
                                                                .....o.????
                                                                 ......???
                                                                  ..ooo??
                                                                   .o???
                                                                    o??
                                                                     ?
  15. ↑ 65 cells, next two shortest w15's are tagalongs of the w15o c/3, both at 287 cells despite considerable variation
  16. ↑ 94 cells, only other at w12 is a 102-cell variant with a longer and thinner backend
  17. ↑
    longest partial:
    ...........
    ......oo....
    ..oooo..o....
    ..ooo.o.......
    ..oo..o...oo.o.
    ..o..........o..
    .o.oo..o..ooo....
    .o....o.o..o.oo...
    ..o....o..o...oo.oo
    .........oo..ooo.oo.
    ....o.o.oo...ooo.....
     ...o.oo....oo.o......
      ....o....o.o.oo......
       .oo.o.oooo..oo..oo...
        ...oooo.....oo.......
         ...oooooo.......o.o..
          ......ooo...oo.o.o...
           .oo....o...o..oo.o...
            oo......oo...oooo....
             ....o..o.....o.o.....
              ...o.................
               ....oooo......oo.....
                .....ooo....oooo.....
                 ..oo.o....ooo..o.....
                  ...ooo..oo...oo......
                   ......ooo..o.oo......
                    .....oo..oo.o..o.oo..
                     .....o.o..o.o.ooo.oo.
                      .....oooo....o.......
                       ......o.o....oo.oo...
                        ..............oooo...
                         .....ooo.......o.....
                          .....o.o....oooooo...
                           ...oo.o....o...ooo..o
                            ..o...o.oo....o.oo.o.
                             ..o.oo.o.....o....o?
                              .o.oooo...o..o.oo.?
                               ...o.o....oo....o?
                                ....oooo.o.ooooo?
                                 ...oo..o.oo.oo??
                                  ...oo...o.????
                                   ...o.o.oo???
                                    ....o.oo??
                                     ooo.oo??
                                      .?????
  18. ↑ 9*40 partial (9-cell-wide phase of 10-cell-wide spaceship)
    5bo$4b3o$3b5o$3b5o$4bob2o$5b2o2$7bo$6b2o$5b4o$6bo$8bo$b2ob4o$b2o5bo$o$5bob2o$4b2o$5bob2o$2b2o3b2o$5bo$bobo3bo$2o2b
    3o2$4bo$5b2o$bo3b2o$4bo$2b3obo$3bobobo$3b2o2bo$2bo2bob2o$2bo5bo$2b3o$3o2b3o$3o$bo3bobo$3o2bo2bo$6bobo$5b3o$2bo2bo!
  19. ↑ 20*79 partial
    7b6o$5b2o2b2o2b2o$4bo3bo2bo3bo$2b3o10b3o$2b2obob6obob2o$bob2o10b2obo$2o4bo2b2o2bo4b2o$2bo3b2o4b2o3bo$5bo2bo2bo2bo2$4bo3bo2bo3bo$3b2o10b
    2o$6bo6bo$7b2o2b2o$3b2o10b2o$4b2o2bo2bo2b2o$6b8o$8bo2bo$4bob3o2b3obo$4bobobo2bobobo$3bo12bo$4b2o8b2o2$3bo2bo6bo2bo2$3bob2o6b2obo$4bo10b
    o3$3bo2bo6bo2bo$3bo2bo6bo2bo$3bo2bo6bo2bo$3bo2bo6bo2bo$4b5o2b5o$4bo10bo$5b2obo2bob2o$5b3o4b3o2$4bob3o2b3obo$4bo10bo$4bobo6bobo$7b2o2b2o
    2$6b8o$6b8o$7bo4bo$6b2o4b2o$8bo2bo$4b2o8b2o$3b3o3b2o3b3o$3bobo8bobo$3bo3b2o2b2o3bo$7bob2obo$7bo4bo2$5bo8bo$3bob2o2b2o2b2obo$3bo3bob2obo
    3bo$4b3o6b3o$7bob2obo$2b4o2bo2bo2b4o$2bobo3bo2bo3bobo$2bobobo6bobobo$2b2o3bo4bo3b2o$3bo3bo4bo3bo$3bo4bo2bo4bo$6b8o$2b5ob4ob5o$2b2o12b2o
    $4bo10bo$b2o14b2o$obo2b2o2b2o2b2o2bobo$2o4bo6bo4b2o$8bo2bo$3o4b2o2b2o4b3o$b2o4bo4bo4b2o$bobob2o6b2obobo$b2o2b2o6b2o2b2o$2bo3b2o4b2o3bo!
  20. ↑ 32 cells, only other one found by gfind at w13glide is this 40-cell variation
  21. ↑ 8*37 partial
    3b3o$2b2o$2bo2bo$2b3o$6bo$bo2b2o$bob2o2bo$o3bobo$4bobo$2bo2bo$3b4o$3bo$3b2o$2b2o$2bobo$2b3o2$5b2o$4b3o$6bo
    $5bo$2bo2bo$3b5o$3bo2b2o$3bob2o$2bob2o$2bob2o$b2ob2o$b2o$b2o$2bobo$3bob2o$5bo$2b2o3bo$bo5bo$2o3bo$3bobobo!
  22. ↑ 15*50 partial
    4b2o3b2o$3bo2bobo2bo$3bobo3bobo$3bo7bo$3bob5obo$4b7o$5b5o$3bo7bo$2bobo5bobo3$2b3o5b3o$3b3o3b3o2$3bobo3bobo$3b2o
    5b2o$2bo2bo3bo2bo$2bo9bo$b5o3b5o$ob2o7b2obo$obo9bobo$2bo9bo$2bo9bo$2bobo5bobo$2bo3b3o3bo$4b2o3b2o2$4bo5bo$4bo2b
    o2bo$3bo2bobo2bo$3b4ob4o$4bo2bo2bo$2b2o7b2o$b2o9b2o$bobobobobobobo$2bo2b5o2bo$5bobobo$4b3ob3o$5b5o$2o4b3o4b2o$
    bo11bo$2bob2o3b2obo$bobo2bobo2bobo$4b3ob3o$b3o2b3o2b3o$obo3b3o3bobo$2b2o2bobo2b2o$3b2o5b2o$2obo7bob2o$2ob9ob2o!
  23. ↑ 16*45 partial
    5bo4bo$4bob4obo$5bo4bo$3b4o2b4o$3b2o6b2o$4bobo2bobo$bo12bo$b2o10b2o$5bo4bo$5bo4bo$5bo4bo$5b2o2b2o$5bob2obo$4bo6bo$2b2o8b2o$3bob2o2b2obo$2b2ob2
    o2b2ob2o$3bo2bo2bo2bo$4b3o2b3o$4b3o2b3o2$3b3o4b3o$5bo4bo$3b2obo2bob2o$3bo8bo$7b2o$3bo8bo$3bo8bo$3bo3b2o3bo$b2o2bob2obo2b2o$b2ob3o2b3ob2o$3b10o
    $bo2bo6bo2bo$bo12bo$6b4o$2bo2b2o2b2o2bo$2bob2o4b2obo$3bo8bo$2b3obo2bob3o$6b4o$obo2b6o2bobo$5b2o2b2o$2bobobo2bobobo$obob2o4b2obobo$o4bob2obo4bo!
  24. ↑ is 7 cells high in all phases, whereas this one is 6 cells high in two
  25. ↑ if h=7, w>42; if h=8, w>14
  26. ↑ if h=7, w>74; if h=8, w>20
  27. ↑ specified part of widest rlifesrc partial at height 7
    ..o..oo.o........o........
    .oooo.....o......ooo...o.o
    o...o..o......oo...ooo.o..
    .o..o.oooo.oo.oooo...o....
    .....o.oo..oooo..o.oooooo.
    ........o.ooo.....oo..oooo
    ........o...o......o.....o
    and 8 (took 5 hours to disprove)
    ..........o...........o......o.......oo.
    .........oo.......o...o.o...o.oo.oo.ooo
    .oo......o.oo.....oo..o.o..oo..o.oo.oo
    .ooo.....oo.oo..oo..ooo..o.oo.o.oo....
    .oo.....ooo..o..o.oo.o.ooo..o......oo.
    ....oo..oo....oo.o.oo.....o.o....o..o.
    .....oooo...oo.oo.......o.o.oo..o...ooo
    .........................o...........oo.
  28. ↑ widest rlifesrc partial at height 9 (took 5 hours)
    ...........................
    ......o.....o.....ooo....o
    .....ooo...ooo...oo.o...oo.
    ...oo.o.o.o..o....o..ooooo.
    ..o.oooo.ooo..oooooo.oo....
    ..o..ooo..o..oooo.o....o..o.
    .o.oo.....o.oo.o....oooo.oo.
    ............o..o....oo.ooo..
    ............o.o...........o.
  29. ↑ widest rlifesrc partial at h7 (took 52 hours)
    ..ooooo.....o
    .....ooooooo.
    ..oooo.o..o.o
    .o.oo.ooooooo
    o..o....oooo.
    ....o.....ooooo
    o...........oo.
  30. ↑ widest rlifesrc partial at h8 (took 30 hours)
    ...........o....
    ..o.......ooo.oo
    .ooo....oo..o...
    .o.oo.ooooo.ooo
    .ooooo...o.o.o.
    ....o...o..ooo.
    .....o.....oooo
    ..............o

other such tables alike this

References

  1. ↑ 400spartans (April 30, 2020). Re: HighLife , in which the smallest c/3 (at w10a) was found
  2. ↑ velcrorex (April 23, 2018). Re: HighLife , in which the smallest c/4 w10a and w11a were found
  3. ↑ 3.0 3.1 Sokwe (April 24, 2018). Re: HighLife , in which the shortest minimal-width c/5's at w10a and w17o were found
  4. ↑ 4.0 4.1 praosylen (September 12, 2016). Re: HighLife , in which the smallest w13o 2c/6 (thinnest odd) was found, also seemingly the first 2c/6 in general
  5. ↑ 5.0 5.1 AforAmpere (April 23, 2018). Re: HighLife , in which the thinnest 2c/5 at w12a was found, and the thinnest even-symmetric 2c/6 (odd was a rediscovery, initially found in [4])
  6. ↑ velcrorex (April 23, 2018). Re: HighLife , in which the thinnest even-width 2c/5 at w22e was found, as well as a w21o from deduplicating its central column
  7. ↑ velcrorex (November 19, 2015). Re: Thread for Your Accidental Discoveries that Aren't in CGOL , in which the first c/6 was found at w17o
  8. ↑ AforAmpere (April 23, 2018). Re: HighLife , in which the second c/6 was found at w18e
  9. ↑ 9.0 9.1 9.2 apgoucher (May 31, 2021). Message in #naturalistic on the Conwaylife Lounge Discord server , in which c/6d's were disproven up to logical width 10
  10. ↑ LaundryPizza03 (September 1, 2023). Re: HighLife , in which the first true-period c/6d was found at w22glide (thinnest possible)
    the program used to find this wasn't stated, if it was ikpx2 it may not be the shortest example
  11. ↑ wildmyron (October 6, 2018). Re: HighLife , in which the first and only known 2c/7 was found at w19o (28 cells!)
  12. ↑ velcrorex (April 22, 2018). Re: HighLife , in which the first c/8 was found at w16e with zfind
  13. ↑ 13.0 13.1 13.2 LaundryPizza03 (November 16, 2021). Re: HighLife , in which 3c/8 spaceships of logical width ≤10 were disproven
  14. ↑ JP21 (September 26, 2020). Re: HighLife , in which the shortest possible c/4 was found at h7 (also only 43 cells, a record at the time)
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