User:AforAmpere/HighLife: Difference between revisions
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added spaces in front of rle pattern |
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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 !! | !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> | ||
|- | |- | ||
| (2,0)c/4 | |rowspan=2 | (2,0)c/4 | ||
| style="background: #80ff80;" | 5 | | style="background: #80ff80;" | [[Lightweight spaceship|5]] | ||
| style="background: #80ff80;" | 11 | | style="background: #80ff80;" | {{LinkCatagolue|xq4_6frcxcrf6|b36s23|name=11|style=raw}} | ||
| style="background: #80ff80;" | 12 | | 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> | |||
|- | |||
|rowspan=2 | (1,1)c/4 | |||
| style="background: #80ff80;" | [[Glider|4]] | |||
|colspan=2 style="background: #80ff80;" | {{LinkCatagolue|xq4_o8g351z1|b36s23|name=11|style=raw}} | |||
|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: # | | 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: # | | 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 ≤ {{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 ≤ -->{{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;" | 10 | |||
| 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;" | {{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 | |||
| 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;" | {{LinkCatagolue|xq6_076g67y176g67zgk054gia0aig450kgz24cp3o6x6o3pc42z8o0oo7d9g9d7oo0o8z12r0u8he5eh8u0r21zk14s2r9c0c9r2s41kz17cimt64946tmic71|b36s23|name=17|style=raw}} | |||
| 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 | |||
| style="background: #ffa0a0;" | 9 | |||
| style="background: #ffa0a0;" | 17 | |||
| style="background: #ffa0a0;" | 18 | |||
|- | |||
| (2,0)c/7 | |||
| 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: #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;" | 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 | |||
| style="background: #ffa0a0;" | 11 | |||
| style="background: #ffa0a0;" | 21 | |||
| 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 | |||
| style="background: #ffa0a0;" | 7 | |||
| style="background: #ffa0a0;" | 13 | |||
| 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 | |||
| style="background: #ffa0a0;" | 10<ref name="p137715" /><!--was formerly 9--> | |||
| 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: #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 | |||
| style="background: #ffa0a0;" | 7 | |||
| style="background: #ffa0a0;" | 13 | |||
| 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;" | 15 | ||
| style="background: # | | style="background: #ffa0a0;" | 16 | ||
|- | |- | ||
| (2,0)c/6 | | (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;" | 9 | ||
| style="background: # | | style="background: #ffa0a0;" | 8 | ||
|- | |- | ||
| ( | | (4,0)c/12 | ||
| style="background: #ffa0a0;" | 7 | | 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;" | 15 | ||
| style="background: #ffa0a0;" | 14 | | style="background: #ffa0a0;" | 14 | ||
| style="background: #ffa0a0;" | 13 | |||
| style="background: #ffa0a0;" | 12 | |||
|- | |||
| (1,0)c/98 | |||
| style="background: #ffa0a0;" | w ≤ {{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 ≤ {{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 ≤ {{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 | |||
}} | |||
==Notes== | |||
<references group="n" responsive="0"><!--prevents multiple columns--> | |||
</references> | |||
==other such tables alike this== | |||
*[[LifeWiki:Spaceship Search Status Page]] | |||
*[[User:DroneBetter/userspace rule pages#Spaceship Search Status Page-style pages|list of userspace pages]] | |||
==References== | |||
<references> | |||
<ref name="p137715">{{LinkForumThread | |||
|f=11|t=2332|p=137715 | |||
|title = Re: HighLife | |||
|author = LaundryPizza03 | |||
|date = November 16, 2021 | |||
|format = raw}}, in which 3c/8 spaceships of logical width ≤10 were disproven</ref> | |||
</references> | |||
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 | ||||
| (click above to open LifeViewer) |
Credits to Matthias Merzenich, Josh Ball and Arie Paap for some of these searches.
Known spaceships by height
using Matthias Merzenich's definition,
| “ | a period-p spaceship's height is the minimum height of an envelope from simulating it for all p phases, with choice of initial phase | ” |
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 | ||
| (click above to open LifeViewer) |
Notes
- ↑ 46 cells, only other at w9a is a 48-cell backend variant
- ↑ found in [1], 43 cells; see also shortest w11a (40 cells), shortest w12a (40 cells, same frontend as the turtle)
- ↑ 84 cells, shortest/smallest w11a is 47 cells, both were first found in [2]
- ↑ 157 cells
shortest/smallest w17o is 69 cells, w19o is 60, w27o is 43 - ↑ 168 cells
shortest/smallest w18e is 124 cells, w20e is 32 - ↑ unique second-thinnest nontrivial (after xWSS's) is a width 11
- ↑ see https://catagolue.hatsya.com/census/xq4_wgkr996w699rkgzwonm03y030mnozk44c3buy0ub3c44kz0evgge968869eggvezxdt3fa44af3tdzy0ev5sws5ve/b36s23 (cannot be directly linked inline due to substring)
- ↑ 74 cells
second-shortest w14 is 98 cells - ↑ unique second-thinnest nontrivial is a width 14
- ↑ found in [5]; 160 cells and 12 × 62, shortest at w13a is 156 cells (13 × 55)
- ↑ shortest at w21o (and w23o) is thinner version of the w22e
- ↑ found in [6]; is also shortest w24e
- ↑ 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?
.???
?? - ↑ found by Sokwe in 2010disproof 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??
? - ↑ 65 cells, next two shortest w15's are tagalongs of the w15o c/3, both at 287 cells despite considerable variation
- ↑ 94 cells, only other at w12 is a 102-cell variant with a longer and thinner backend
- ↑ 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??
.????? - ↑ 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! - ↑ 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! - ↑ 32 cells, only other one found by gfind at w13glide is this 40-cell variation
- ↑ 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! - ↑ 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! - ↑ 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! - ↑ is 7 cells high in all phases, whereas this one is 6 cells high in two
- ↑ if h=7, w>42; if h=8, w>14
- ↑ if h=7, w>74; if h=8, w>20
- ↑ 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. - ↑ 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. - ↑ 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. - ↑ 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
- ↑ 400spartans (April 30, 2020). Re: HighLife , in which the smallest c/3 (at w10a) was found
- ↑ velcrorex (April 23, 2018). Re: HighLife , in which the smallest c/4 w10a and w11a were found
- ↑ 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
- ↑ 4.0 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
- ↑ 5.0 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])
- ↑ 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
- ↑ 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
- ↑ AforAmpere (April 23, 2018). Re: HighLife , in which the second c/6 was found at w18e
- ↑ 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
- ↑ 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 - ↑ wildmyron (October 6, 2018). Re: HighLife , in which the first and only known 2c/7 was found at w19o (28 cells!)
- ↑ velcrorex (April 22, 2018). Re: HighLife , in which the first c/8 was found at w16e with zfind
- ↑ 13.0 13.1 13.2 LaundryPizza03 (November 16, 2021). Re: HighLife , in which 3c/8 spaceships of logical width ≤10 were disproven
- ↑ 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)