Difference between revisions of "LifeWiki:Spaceship Search Status Page"
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(Add 2c/5 even census to pop 74) |
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|- | |- | ||
| (1,0)c/2 | | (1,0)c/2 | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq2_g0jimmgoz1o0imkqa323ms8zwq2qamkgggqe4zwiiqq26101zw1|name=21|style=raw}} | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq2_y1c2h17071h2czg8c2v0ng2u0u2gn0v2c8gz220gdm113202311mdg022z8k50u8y58u05k8zx22gf1cs0sc1fg22zx8o2s1scgcs1s2o8z8f74143y334147f8|name=21|style=raw}} | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq2_y1c2h19a073370a91h2czg8c2n0v06ugy2gu60v0n2c8gz2201yg1022|name=28|style=raw}} | |||
| style="background: #80ff80;" | [[70P2H1V0.1|21]] | | style="background: #80ff80;" | [[70P2H1V0.1|21]] | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
|- | |- | ||
| (1,0)c/3 | | (1,0)c/3 | ||
| style="background: #80ff80;" | | | style="background: #80ff80;" | {{LinkCatagolue|xq3_g46jo88y0o420ejz3mu2iit0p45112207czw1221|name=12|style=raw}} | ||
| style="background: #80ff80;" | [[Dart|15]] | | style="background: #80ff80;" | [[Dart|15]] | ||
| style="background: #80ff80;" | [[Turtle|12]] | | style="background: #80ff80;" | [[Turtle|12]] | ||
| Line 42: | Line 42: | ||
| rowspan="2" style="background: #80ff80;" | [[Glider|3]] | | rowspan="2" style="background: #80ff80;" | [[Glider|3]] | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_o8g351z1|name=7|style=raw}}<ref group="n" name="sep" /> | | style="background: #80ff80;" | {{LinkCatagolue|xq4_o8g351z1|name=7|style=raw}}<ref group="n" name="sep" /> | ||
| rowspan=" | | rowspan="3" style="background: #c0c0c0;" | - | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_o8g351z1|name=7|style=raw}}<ref group="n" name="sep" /> | | style="background: #80ff80;" | {{LinkCatagolue|xq4_o8g351z1|name=7|style=raw}}<ref group="n" name="sep" /> | ||
| rowspan=" | | rowspan="3" style="background: #c0c0c0;" | - | ||
| rowspan=" | | rowspan="3" style="background: #80ff80;" | [[Glider|3]] | ||
|- | |||
| strict | |||
| rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq4_y48444552gkozwg808oc72zcgfzw247|name=18|style=raw}}<ref name="post172628" /> | |||
| rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq4_y184ltgz8ok0bd225dmo8ggzy6o9mp39703zy56c2|name=19|style=raw}}<ref name="post172628" /> | |||
|- | |- | ||
| | | pure | ||
| style="background: #80ff80;" | | | style="background: #80ff80;" | [[B29|10]]<ref name="post172047" /> | ||
|- | |- | ||
| (2,0)c/4 | | (2,0)c/4 | ||
| Line 55: | Line 58: | ||
| rowspan="2" style="background: #80ff80;" | [[X66|11]] | | rowspan="2" style="background: #80ff80;" | [[X66|11]] | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_6rucwcur6|name=12|style=raw}}<ref group="n" name="sep" /> | | style="background: #80ff80;" | {{LinkCatagolue|xq4_6rucwcur6|name=12|style=raw}}<ref group="n" name="sep" /> | ||
| rowspan=" | | rowspan="3" style="background: #80ff80;" | [[X66|11]] | ||
| rowspan=" | | rowspan="3" style="background: #80ff80;" | [[Lightweight spaceship|5]] | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_6frcx6frc|name=12|style=raw}}<ref group="n" name="sep" /> | | style="background: #80ff80;" | {{LinkCatagolue|xq4_6frcx6frc|name=12|style=raw}}<ref group="n" name="sep" /> | ||
|- | |- | ||
|strict | | strict | ||
| style="background: #80ff80;" | [[Hammerhead|20]]<ref name="MM2"/> | | rowspan="2" style="background: #80ff80;" | [[Hammerhead|20]]<ref name="MM2"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue| | | rowspan="2" style="background: #80ff80;" | [[Two HWSS dragging boat|15]]<ref name="post172628" /> | ||
|- | |||
| pure | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_79112o6m4so0sb0teoov1h1azei22ke22w1704c1wd99|name=11|style=raw}}<ref name="post126570" /> | |||
| style="background: #80ff80;" | [[Hivenudger|15]]<ref name="MM2"/> | |||
|- | |- | ||
| (1,0)c/5 | | (1,0)c/5 | ||
| Line 72: | Line 79: | ||
|- | |- | ||
| (1,1)c/5 | | (1,1)c/5 | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_cih1h0czhrpw1035z7ui0h1go04k8z012xp6oc2zy39ng|name=13|style=raw}}<ref name="coe1"/> | | style="background: #80ff80;" | {{LinkCatagolue|xq5_cih1h0czhrpw1035z7ui0h1go04k8z012xp6oc2zy39ng|name=13|style=raw}}<ref name="coe1"/><ref name="post222861" /> | ||
| style="background: #ffa0a0;" | 19<!--via rlifesrc; search took 580924s--> < w ≤ [[86P5H1V1|24]] | | style="background: #ffa0a0;" | 19<!--via rlifesrc; search took 580924s--> < w ≤ [[86P5H1V1|24]] | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| Line 80: | Line 87: | ||
|- | |- | ||
| (2,0)c/5 | | (2,0)c/5 | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_rhlmggz3gggoar7zxpdm57zwmk8izw1ghe2zwmdb|name=10|style=raw}}<!--<ref group=n>64 cells; {{LinkCatagolue|xq5_0kq3u2z0g9idi62gz0bih83621z4aq2v6wc56zwrhl871|name=shortest w11a|style=raw}} is 72 (and also shortest w12a), shortest w13a is [[30P5H2V0]]</ref>--> | | rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq5_rhlmggz3gggoar7zxpdm57zwmk8izw1ghe2zwmdb|name=10|style=raw}}<!--<ref group=n>64 cells; {{LinkCatagolue|xq5_0kq3u2z0g9idi62gz0bih83621z4aq2v6wc56zwrhl871|name=shortest w11a|style=raw}} is 72 (and also shortest w12a), shortest w13a is [[30P5H2V0]]</ref>--> | ||
| style="background: #80ff80;" | [[44P5H2V0|15]]<!--shortest until w21o, at which point tied by [[60P5H2V0]], then both beaten at w23o by [[57P5H2V0]], which persists until w25o--> | | style="background: #80ff80;" | [[44P5H2V0|15]]<!--shortest until w21o, at which point tied by [[60P5H2V0]], then both beaten at w23o by [[57P5H2V0]], which persists until w25o--> | ||
| style="background: #80ff80;" | [[70P5H2V0|18]]<!--shortest until w28e, at which point beaten by two of [[30P5H2V0]]--> | | rowspan="2" style="background: #80ff80;" | [[70P5H2V0|18]]<!--shortest until w28e, at which point beaten by two of [[30P5H2V0]]--> | ||
| style="background: #80ff80;" | [[44P5H2V0|15]] | | rowspan="2" style="background: #80ff80;" | [[44P5H2V0|15]] | ||
| style="background: #c0c0c0;" | - | | rowspan="2" style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | rowspan="2" style="background: #c0c0c0;" | - | ||
|- | |||
| pure | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_o82imo0jiiy8goow43h6011zhhh0hhrrrhwee0rrhar0hxarrhz3289d30p99y8133w4ohc0gg|name=17|style=raw}}<ref name="knightt-results" /> | |||
|- | |- | ||
| (1,0)c/6 | | (1,0)c/6 | ||
| Line 121: | Line 131: | ||
| (3,0)c/6 | | (3,0)c/6 | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq6_y161cz8ogg3u1p4goe2z0338fho1fg44zy127cog9114k0u0ou2zaig0g8xp0i30vk32zw1278994302631|name=21|style=raw}}<ref name="amling-3c/6-w20-asym"/> | | style="background: #80ff80;" | {{LinkCatagolue|xq6_y161cz8ogg3u1p4goe2z0338fho1fg44zy127cog9114k0u0ou2zaig0g8xp0i30vk32zw1278994302631|name=21|style=raw}}<ref name="amling-3c/6-w20-asym"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue| | | style="background: #80ff80;" | {{LinkCatagolue|xq6_y1c2h17071h2czg8c2v0ng2u0u2gn0v2c8gz220gdm113202311mdg022z8k50u8y58u05k8zw8e64n3oo0oo3n46e8zy133h9p0p9h33zy2720242027|name=21|style=raw}} | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq6_y2ogm6e3z8suj23aqaa98gzo605y01345024ozgrodwgokmhl821z013626qaa2kzy43336|name=28|style=raw}} | | style="background: #80ff80;" | {{LinkCatagolue|xq6_y2ogm6e3z8suj23aqaa98gzo605y01345024ozgrodwgokmhl821z013626qaa2kzy43336|name=28|style=raw}} | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq6_y18waj0jaw8zw2qg1ng62026gn1gq2z2cagn21y312ngac2zgg03l4w88088w4l30ggz076gv0r6of0fo6r0vg67zy15fogo0ogof5zy41x1|name=21|style=raw}} | | style="background: #80ff80;" | {{LinkCatagolue|xq6_y18waj0jaw8zw2qg1ng62026gn1gq2z2cagn21y312ngac2zgg03l4w88088w4l30ggz076gv0r6of0fo6r0vg67zy15fogo0ogof5zy41x1|name=21|style=raw}} | ||
| Line 128: | Line 138: | ||
|- | |- | ||
| (1,0)c/7 | | (1,0)c/7 | ||
| style="background: #80ff80;" | [[Loafer|10]]<ref name="coe8">{{LinkForumThread|format=ref|p=31878|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=June 11, 2016}}</ref><ref name="MM1"/> | | rowspan="2" style="background: #80ff80;" | [[Loafer|10]]<ref name="coe8">{{LinkForumThread|format=ref|p=31878|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=June 11, 2016}}</ref><ref name="MM1"/> | ||
| style="background: #80ff80;" | [[339P7H1V0|19]]<ref name="MM1"/> | | rowspan="2" style="background: #80ff80;" | [[339P7H1V0|19]]<ref name="MM1"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq7_26871wn3y03nw17862zy12596y06952|name=22|style=raw}}<ref>{{LinkForumThread|format=ref|p=44351|title=Re: Spaceship Discussion Thread|author=Matthias Merzenich|date=June 14, 2017}}</ref><ref group="n" name="sep" /> | | style="background: #80ff80;" | {{LinkCatagolue|xq7_26871wn3y03nw17862zy12596y06952|name=22|style=raw}}<ref>{{LinkForumThread|format=ref|p=44351|title=Re: Spaceship Discussion Thread|author=Matthias Merzenich|date=June 14, 2017}}</ref><ref group="n" name="sep" /> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq7_26871wn3x3nw17862zy12596x6952|name=21|style=raw}}<ref name="coe8"/><ref name="MM1"/><ref group="n" name="sep" /> | | style="background: #80ff80;" | {{LinkCatagolue|xq7_26871wn3x3nw17862zy12596x6952|name=21|style=raw}}<ref name="coe8"/><ref name="MM1"/><ref group="n" name="sep" /> | ||
| style="background: #c0c0c0;" | - | | rowspan="2" style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | rowspan="2" style="background: #c0c0c0;" | - | ||
|- | |||
| strict | |||
| style="background: #ffa0a0;" | 20<ref>{{LinkForumThread|format=ref|p=44351|title=Re: Spaceship Discussion Thread|author=Matthias Merzenich|date=June 14, 2017}}</ref> < w | |||
| style="background: #ffa0a0;" | 19<ref name="coe8"/><ref name="MM1"/> < w | |||
|- | |- | ||
| (1,1)c/7 | | (1,1)c/7 | ||
| Line 379: | Line 393: | ||
| (5,0)c/10 | | (5,0)c/10 | ||
| style="background: #ffa0a0;" | 11<ref name="MM4"/> | | style="background: #ffa0a0;" | 11<ref name="MM4"/> | ||
| style="background: # | | style="background: #80ff80;" | {{LinkCatagolue|xq10_343yb343z02552g8o4o0o4o8g2552zy02cc30v0v03cc2zx2qga9630369agq2z0g444gy5g444gzaig2q0q2gv0vg2q0q2giazw1278j1wow1j8721zy1aig2q0q2giazy1oohin0nihoozw2ec4to33033ot4ce2z25k0f2y52f0k52z8801mdggo808oggdm1088z1268v0t18f0f81t0v8621zy168hgs0sgh86|name=21|style=raw}}<ref name="MM2"/> | ||
| style="background: #ffa0a0;" | 22<ref name="MM4"/> | | style="background: #ffa0a0;" | 22<ref name="MM4"/> | ||
| style="background: # | | style="background: #80ff80;" | {{LinkCatagolue|xq10_025524sm4o0o4ms42552zy08kjfgv0vgfjk8zgg08o0pi8f0f8ip0o80ggz03r1111y31111r3z0aig2c6af101fa6c2giazx12nhn3x3nhn21zxaq1m9qa0aq9m1qazw8813p6of0fo6p3188z8g83u8621x1268u38g8z011emgy5gme11z2uo0u0co1t0t1oc0u0ou2zx23kv0310130vk32zy2136303631|name=21|style=raw}}<ref name="MM2"/> | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| Line 521: | Line 535: | ||
|viewerconfig = #C [[ WIDTH 800 HEIGHT 600 ]] | |viewerconfig = #C [[ WIDTH 800 HEIGHT 600 ]] | ||
}} | }} | ||
{|class="wikitable" style="text-align: center" | |||
|+ style="text-align: left;" | Single-phase width | |||
|- | |||
! Velocity !! Asymmetric || Odd-symmetric<br /> || Even-symmetric<br /> || Gutter<br /> || Odd glide-symmetric<br /> || Even glide-symmetric<br /> | |||
|- | |||
| (1,0)c/2 | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq2_g0jimmgoz1o0imkqa323ms8zwq2qamkgggqe4zwiiqq26101zw1|name=21|style=raw}}<ref name="post222481" /> | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq2_y1c2h17071h2czg8c2v0ng2u0u2gn0v2c8gz220gdm113202311mdg022z8k50u8y58u05k8zx22gf1cs0sc1fg22zx8o2s1scgcs1s2o8z8f74143y334147f8|name=21|style=raw}} | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq2_y1c2h19a073370a91h2czg8c2n0v06ugy2gu60v0n2c8gz2201yg1022|name=28|style=raw}}<ref name="post222481" /> | |||
| style="background: #80ff80;" | [[70P2H1V0.1|21]] | |||
| style="background: #c0c0c0;" | - | |||
| style="background: #c0c0c0;" | - | |||
|- | |||
| (1,0)c/3 | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq3_5fg2964ccgw3u0228mc53bgzicdy5of0882d6koq1|name=10|style=raw}}<ref name="post222481" /> | |||
| style="background: #80ff80;" | [[Dart|15]]<ref name="post222481" /> | |||
| style="background: #80ff80;" | [[Turtle|10]]<ref name="post222481" /> | |||
| style="background: #80ff80;" | [[Brain|17]]<ref name="post222481" /> | |||
| style="background: #c0c0c0;" | - | |||
| style="background: #c0c0c0;" | - | |||
|- | |||
| (1,0)c/4 | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_xap1zxo276z06n6ihzwjp40a2zw3ikn0aizx11shhczcgi28mkb08zxu995222z2c2|name=9|style=raw}}<ref name="post222481" /> | |||
| style="background: #80ff80;" | [[Non-monotonic spaceship 1|11]]<ref name="post222481" /> | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_w434y0434z0om7e0mm0e7mozh1kf431134fk1hzdg122e11e221gdzxp74mm47pzx166w661|name=14|style=raw}}<ref name="post222481" /> | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_y0671x176zw2359cs0sc9532zw68cvhxhvc86z66br22ge0eg22rb66zy16e606e6|name=17|style=raw}}<ref name="post222481" /> | |||
| style="background: #c0c0c0;" | - | |||
| style="background: #c0c0c0;" | - | |||
|- | |||
| (1,1)c/4 | |||
| rowspan="2" style="background: #80ff80;" | [[Glider|3]]<ref name="post172047" /> | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_o8g351z1|name=6|style=raw}}<ref name="post172047" /> | |||
| rowspan="3" style="background: #c0c0c0;" | - | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_o8g351z1|name=6|style=raw}}<ref name="post172047" /> | |||
| rowspan="3" style="background: #c0c0c0;" | - | |||
| rowspan="3" style="background: #80ff80;" | [[Glider|3]]<ref name="post172047" /> | |||
|- | |||
| strict | |||
| rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq4_y48444552gkozwg808oc72zcgfzw247|name=17|style=raw}}<ref name="post223389" /> | |||
| rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq4_y184ltgz8ok0bd225dmo8ggzy6o9mp39703zy56c2|name=18|style=raw}}<ref name="post223389" /> | |||
|- | |||
| pure | |||
| style="background: #80ff80;" | [[B29|7]] | |||
|- | |||
| (2,0)c/4 | |||
| style="background: #80ff80;" | [[Lightweight spaceship|4]]<ref name="post222481" /> | |||
| style="background: #80ff80;" | [[MWSS on MWSS 1|9]]<ref name="post222481" /> | |||
| rowspan="2" style="background: #80ff80;" | [[Hammerhead|16]]<ref name="post222481" /> | |||
| rowspan="2" style="background: #80ff80;" | [[MWSS on MWSS 1|9]]<ref name="post222481" /> | |||
| rowspan="2" style="background: #80ff80;" | [[Lightweight spaceship|4]] | |||
| rowspan="2" style="background: #80ff80;" | [[Two HWSS dragging boat|13]]<ref name="post222481" /> | |||
|- | |||
| pure | |||
| style="background: #80ff80;" | [[MWSS on MWSS 3|8]]<ref name="post222481" /> | |||
| style="background: #80ff80;" | [[Hivenudger|13]]<ref name="post222481" /> | |||
|- | |||
| (1,0)c/5 | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_o2f0huez5sn93v36z0qsgr0g0eezc8080v9z0121g42a4z47f0110m6zy0oob8dzx6621|name=10|style=raw}}<ref name="post222547" /> | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_69c52t2x2t25c96z0chl5abxba5lhcz08k02im5c5mi20k8z8o328ao505oa823o8z0856sg2u0u2gs658zm7j68g4f0f4g86j7mz1248g0j888j0g8421zy111x11|name=17|style=raw}}<ref name="post222547" /> | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_0gowe019910ewogz0o8g4797ee7974g8oz0uify6fiuzx7uarewerau7z6eghhd0hcch0dhhge6zwc1m4o2442o4m1czy1uhb44bhuz0ca1gly2lg1acz015054m6uu6m45051zy134011043|name=18|style=raw}}<ref name="post222547" /> | |||
| style="background: #80ff80;" | [[Snail|19]]<ref name="post222547" /> | |||
| style="background: #c0c0c0;" | - | |||
| style="background: #c0c0c0;" | - | |||
|- | |||
| (1,1)c/5 | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_cih1h0czhrpw1035z7ui0h1go04k8z012xp6oc2zy39ng|name=12|style=raw}}<ref name="post222837" /> | |||
| style="background: #ffa0a0;" | 11 < w ≤ [[86P5H1V1|22]] | |||
| style="background: #c0c0c0;" | - | |||
| style="background: #ffa0a0;" | 11 < w ≤ [[86P5H1V1|22]] | |||
| style="background: #c0c0c0;" | - | |||
| style="background: #c0c0c0;" | - | |||
|- | |||
| (2,0)c/5 | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_rhlmggz3gggoar7zxpdm57zwmk8izw1ghe2zwmdb|name=8|style=raw}}<ref name="post222481" /> | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_o82imo0jiiy8goow43h6011zhhh0hhrrrhwee0rrhar0hxarrhz3289d30p99y8133w4ohc0gg|name=15|style=raw}}<ref name="post222481" /> | |||
| style="background: #80ff80;" | [[70P5H2V0|18]]<ref name="post222481" /> | |||
| style="background: #80ff80;" | [[44P5H2V0|15]]<ref name="post222481" /> | |||
| style="background: #c0c0c0;" | - | |||
| style="background: #c0c0c0;" | - | |||
|} | |||
== Known spaceships by height == | == Known spaceships by height == | ||
In this table, a ship is "pure" if it possesses the given symmetry type, but no higher symmetry type. For example, a gutter-symmetric ship is also odd-symmetric, but is not "pure" odd-symmetric. | |||
{|class="wikitable" style="text-align: center" | {|class="wikitable" style="text-align: center" | ||
| Line 529: | Line 626: | ||
|- | |- | ||
| (1,0)c/2 | | (1,0)c/2 | ||
| style="background: #80ff80;" | | | style="background: #80ff80;" | {{LinkCatagolue|xq2_1fc0s04g0tje28aga82ese28agga82ejt0g40s0cf1zx112731yk137211|name=8|style=raw}}<ref name="MM-WLS">Checked by Matthias Merzenich using WLS.</ref><ref name="post172210" /> | ||
| style="background: #80ff80;" | [[64P2H1V0|8]] | | style="background: #80ff80;" | [[64P2H1V0|8]] | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq2_1fc0s04g0tje28agga82ejt0g40s0cf1zx112731ya137211|name=8|style=raw}} | | style="background: #80ff80;" | {{LinkCatagolue|xq2_1fc0s04g0tje28agga82ejt0g40s0cf1zx112731ya137211|name=8|style=raw}} | ||
| Line 537: | Line 634: | ||
|- | |- | ||
| (1,0)c/3 | | (1,0)c/3 | ||
| style="background: #80ff80;" | [[25P3H1V0.1|5]]<ref name="MM-WLS" /><ref name="post172210" /> | | rowspan="2" style="background: #80ff80;" | [[25P3H1V0.1|5]]<ref name="MM-WLS" /><ref name="post172210" /> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq3_25c4a8goko06550687099c0264egij2630362jige4620c99078605560okog8a4c52|name=6|style=raw}}<ref name="post172309" /> | | style="background: #80ff80;" | {{LinkCatagolue|xq3_25c4a8goko06550687099c0264egij2630362jige4620c99078605560okog8a4c52|name=6|style=raw}}<ref name="post172309" /> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq3_2554ca0so07bgg0s4me08ewfjkk0gg0kkjfwe80em4s0ggb70os0ac4552zyc13y711y731|name=7|style=raw}}<ref name="post172309" /> | | rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq3_2554ca0so07bgg0s4me08ewfjkk0gg0kkjfwe80em4s0ggb70os0ac4552zyc13y711y731|name=7|style=raw}}<ref name="post172309" /> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq3_25c4a8goko06550687099c0264egij2630362jige4620c99078605560okog8a4c52|name=6|style=raw}}<ref name="post172309" /> | | rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq3_25c4a8goko06550687099c0264egij2630362jige4620c99078605560okog8a4c52|name=6|style=raw}}<ref name="post172309" /> | ||
| style="background: #c0c0c0;" | - | | rowspan="2" style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | rowspan="2" style="background: #c0c0c0;" | - | ||
|- | |||
| pure | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq3_0gu16zclchz1t0ozc6nk8gzw15oozwcqrqzeeazw6brbzwgk33z6ct521zgn03z6l6hz01fgc|name=7|style=raw}}<ref name="post172309" /> | |||
|- | |- | ||
| (1,0)c/4 | | (1,0)c/4 | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_02k4772z31h28oz560ao31z2ud62zhhd0gozy11|name=8|style=raw}}<ref name="MM-WLS" /><ref name="post172210" /><ref name="post172309" /> | | rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq4_02k4772z31h28oz560ao31z2ud62zhhd0gozy11|name=8|style=raw}}<ref name="MM-WLS" /><ref name="post172210" /><ref name="post172309" /> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_7094uz0go83h2zg3n4698z3cf9h1ggzwcth4g8zy0dabzxgr5tzw3bo2ghzs3v988z0su26p1zw11s84ze0927|name=9|style=raw}}<ref name="post172309" /> | | style="background: #80ff80;" | {{LinkCatagolue|xq4_7094uz0go83h2zg3n4698z3cf9h1ggzwcth4g8zy0dabzxgr5tzw3bo2ghzs3v988z0su26p1zw11s84ze0927|name=9|style=raw}}<ref name="post172309" /> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_ksoxso0s950473228c8sw66w8gy3ee88eey3g8w66ws8c822374059s0osxoskz122556yd6431077acee23261w16232eeca7701346yd655221|name=10|style=raw}}<ref name="post178496" /> | | rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq4_ksoxso0s950473228c8sw66w8gy3ee88eey3g8w66ws8c822374059s0osxoskz122556yd6431077acee23261w16232eeca7701346yd655221|name=10|style=raw}}<ref name="post178496" /> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_7094uz0go83h2zg3n4698z3cf9h1ggzwcth4g8zy0dabzxgr5tzw3bo2ghzs3v988z0su26p1zw11s84ze0927|name=9|style=raw}}<ref name="post172309" /> | | rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq4_7094uz0go83h2zg3n4698z3cf9h1ggzwcth4g8zy0dabzxgr5tzw3bo2ghzs3v988z0su26p1zw11s84ze0927|name=9|style=raw}}<ref name="post172309" /> | ||
| style="background: #c0c0c0;" | - | | rowspan="2" style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | rowspan="2" style="background: #c0c0c0;" | - | ||
|- | |||
| pure | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_0367p6oz0emm011zd8ovzxfrmzo03e2qpszp0b9hncz0o0dc2ssz3n0kkkl8z3f0oo0uszc08a4loze03q2fcszw3pdl2zo8cv31z2oknz01hhciez031321|name=10|style=raw}}<ref name="post222440" /> | |||
|- | |- | ||
| (2,0)c/4 | | (2,0)c/4 | ||
| style="background: #80ff80;" | [[Lightweight spaceship|6]]<ref name="MM-WLS" /><ref name="post172210" /> | | style="background: #80ff80;" | [[Lightweight spaceship|6]]<ref name="MM-WLS" /><ref name="post172210" /> | ||
| style="background: #80ff80;" | [[MWSS on MWSS 1|7]]<ref name="post172309" /> | | style="background: #80ff80;" | [[MWSS on MWSS 1|7]]<ref name="post172309" /> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_6eeed72z05m04ogz0pvij1zqq8447z2v824sz0p699gzkv1423z5lhiiez09v4cogz0a6021z6777be4|name=8|style=raw}}<ref name="post172309" /> | | rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq4_6eeed72z05m04ogz0pvij1zqq8447z2v824sz0p699gzkv1423z5lhiiez09v4cogz0a6021z6777be4|name=8|style=raw}}<ref name="post172309" /> | ||
| style="background: #80ff80;" | [[MWSS on MWSS 1|7]]<ref name="post172309" /> | | rowspan="2" style="background: #80ff80;" | [[MWSS on MWSS 1|7]]<ref name="post172309" /> | ||
| style="background: #80ff80;" | [[Lightweight spaceship|6]] | | rowspan="2" style="background: #80ff80;" | [[Lightweight spaceship|6]] | ||
| rowspan="2" style="background: #ffa0a0;" | 7<ref name="post172309" /> | |||
|- | |||
| pure | |||
| style="background: #80ff80;" | [[LWSS on MWSS 3|7]]<ref name="post172210" /> | |||
| style="background: #ffa0a0;" | 7<ref name="post172309" /> | | style="background: #ffa0a0;" | 7<ref name="post172309" /> | ||
|- | |- | ||
| (1,0)c/5 | | (1,0)c/5 | ||
| style="background: #80ff80;" | | | style="background: #80ff80;" | {{LinkCatagolue|xq5_cm6iuge0653kg0gk3560egui6mcw4q91easii90mssz033266yb66233y61w121|name=8|style=raw}}<ref name="MM-WLS" /><ref name="post172215" /> | ||
| style="background: #80ff80;" | | | style="background: #80ff80;" | {{LinkCatagolue|xq5_cm6iuge0653kg0gk3560egui6mcxo08ckkokkc80oxcm6iuge0653kg0gk3560egui6mcz033266yb66233x1y91x33266yb66233|name=8|style=raw}} | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_ug1hmgc865da808ad568cgmh1guwug1hmgc865da808ad568cgmh1guz124w6yb6w421w124w6yb6w421|name=8|style=raw}} | | style="background: #80ff80;" | {{LinkCatagolue|xq5_ug1hmgc865da808ad568cgmh1guwug1hmgc865da808ad568cgmh1guz124w6yb6w421w124w6yb6w421|name=8|style=raw}} | ||
| style="background: #80ff80;" | [[Spider|8]] | | style="background: #80ff80;" | [[Spider|8]] | ||
| Line 570: | Line 677: | ||
| (2,0)c/5 | | (2,0)c/5 | ||
| style="background: #80ff80;" | [[34P5H2V0|11]]<ref name="post178547" /><ref name="post220743" /> | | style="background: #80ff80;" | [[34P5H2V0|11]]<ref name="post178547" /><ref name="post220743" /> | ||
| style="background: #80ff80;" | {{LinkCatagolue| | | style="background: #80ff80;" | {{LinkCatagolue|xq5_obguck8y4qgkmkmgog0774gm4a8aaa732c82coxoc28c237aaa8a4mg4770gogmkmkgqy48kcugboz1231x1778460c62w126873x35d53y7333y735d53x378621w26c0648771x1321|name=11|style=raw}} | ||
| style="background: # | | style="background: #80ff80;" | {{LinkCatagolue|xq5_gggy2o4qa6xoooy7okmkoy1cuh6sggs6hucy1okmkoy7ooox6aq4oy2gggz78d6cs4k51244w67x368268osaaa2a4d14ssw7w21w12w7wss41d4a2aaaso862863x76w44215k4sc6d87|name=11|style=raw}} | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_2aordd6zwp21so8ogzxhhwhhzwj8g73231z8a3rmmc|name=11|style=raw}} | | style="background: #80ff80;" | {{LinkCatagolue|xq5_2aordd6zwp21so8ogzxhhwhhzwj8g73231z8a3rmmc|name=11|style=raw}} | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| Line 631: | Line 738: | ||
|caption = Spaceships by height | |caption = Spaceships by height | ||
}} | }} | ||
{|class="wikitable" style="text-align: center" | |||
|+ style="text-align: left;" | Single-phase height | |||
|- | |||
! Velocity !! Asymmetric || Odd-symmetric<br />(strict) || Even-symmetric<br />(strict) || Gutter<br />(strict) || Odd glide-symmetric<br />(strict) || Even glide-symmetric<br />(strict) | |||
|- | |||
| (1,0)c/2 | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq2_1fc0s04g0tje28aga82ese28agga82ejt0g40s0cf1zx112731yk137211|name=8|style=raw}}<ref name="post222435" /> | |||
| style="background: #80ff80;" | [[64P2H1V0|8]] | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq2_1fc0s04g0tje28agga82ejt0g40s0cf1zx112731ya137211|name=8|style=raw}} | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq2_32mmgozg0igke72z1n2q1z0qgm1z0hjrgz0a889be4z0lhhpd72z0ostz0l0m8zoeklozwkgine4zc46601|name=8|style=raw}} | |||
| style="background: #c0c0c0;" | - | |||
| style="background: #c0c0c0;" | - | |||
|- | |||
| (1,0)c/3 | |||
| rowspan="2" style="background: #80ff80;" | [[25P3H1V0.1|5]]<ref name="post222435" /> | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq3_25c4a8goko06550687099c0264egij2630362jige4620c99078605560okog8a4c52|name=5|style=raw}} | |||
| rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq3_0gu16zcdc1z0g8br1z111qjjzwo4kccz0cd01zw78bcczxmiiz135kn1zccc111z03u1ozx1|name=7|style=raw}}<ref name="post222435" /> | |||
| rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq3_25c4a8goko06550687099c0264egij2630362jige4620c99078605560okog8a4c52|name=5|style=raw}} | |||
| rowspan="2" style="background: #c0c0c0;" | - | |||
| rowspan="2" style="background: #c0c0c0;" | - | |||
|- | |||
| pure | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq3_0gu16zclchz1t0ozc6nk8gzw15oozwcqrqzeeazw6brbzwgk33z6ct521zgn03z6l6hz01fgc|name=6|style=raw}}<ref name="post222435" /> | |||
|- | |||
| (1,0)c/4 | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_02k4772z31h28oz560ao31z2ud62zhhd0gozy11|name=7|style=raw}}<ref name="post222435" /> | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_0367p6oz0emm011zd8ovzxfrmzo03e2qpszp0b9hncz0o0dc2ssz3n0kkkl8z3f0oo0uszc08a4loze03q2fcszw3pdl2zo8cv31z2oknz01hhciez031321|name=8|style=raw}}<ref name="post222444" /> | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_w84m731gvec8o8cgwgc8o8cevg137m48z8b1011y5ee22eey51101b8|name=9|style=raw}}<ref name="post222442" /> | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_7094uz0go83h2zg3n4698z3cf9h1ggzwcth4g8zy0dabzxgr5tzw3bo2ghzs3v988z0su26p1zw11s84ze0927|name=8|style=raw}}<ref name="post222481" /> | |||
| style="background: #c0c0c0;" | - | |||
| style="background: #c0c0c0;" | - | |||
|- | |||
| (2,0)c/4 | |||
| style="background: #80ff80;" | [[Lightweight spaceship|5]]<ref name="post222435" /> | |||
| style="background: #80ff80;" | [[MWSS on MWSS 1|6]]<ref name="post222435" /> | |||
| rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq4_6eeed72z05m04ogz0pvij1zqq8447z2v824sz0p699gzkv1423z5lhiiez09v4cogz0a6021z6777be4|name=7|style=raw}}<ref name="post222547" /> | |||
| rowspan="2" style="background: #80ff80;" | [[MWSS on MWSS 1|6]]<ref name="post222435" /> | |||
| rowspan="2" style="background: #80ff80;" | [[Lightweight spaceship|5]] | |||
| rowspan="2" style="background: #ffa0a0;" | 6<ref name="post222547" /> < h ≤ [[Two HWSS dragging boat|8]] | |||
|- | |||
| pure | |||
| style="background: #80ff80;" | [[LWSS on MWSS 3|6]]<ref name="post222435" /> | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_ah1197z286286s8zxt21z08g29is8z94118hz122223|name=7|style=raw}}<ref name="post222547" /> | |||
|- | |||
| (1,0)c/5 | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_g47j7a4z0rks72z34864zcihm2zgd2je4z02ece52z0kag95ze55996z8ln2z0gh4ecz0jew42z6aa666zw77e84z08e6ek8z1m8pe4z69hd8zo42c4z0r57s8z14spsa4|name=7|style=raw}}<ref name="post222435" /> | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_cm6iuge0653kg0gk3560egui6mcxo08ckkokkc80oxcm6iuge0653kg0gk3560egui6mcz033266yb66233x1y91x33266yb66233|name=7|style=raw}} | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_ug1hmgc865da808ad568cgmh1guwug1hmgc865da808ad568cgmh1guz124w6yb6w421w124w6yb6w421|name=7|style=raw}} | |||
| style="background: #80ff80;" | [[Spider|7]] | |||
| style="background: #c0c0c0;" | - | |||
| style="background: #c0c0c0;" | - | |||
|- | |||
| (2,0)c/5 | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_32k0gc0cgz0grld433z03us1nsz06701ltz104c2za42iee|name=9|style=raw}}<ref name="post222435" /> | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_obguck8y4qgkmkmgog0774gm4a8aaa732c82coxoc28c237aaa8a4mg4770gogmkmkgqy48kcugboz1231x1778460c62w126873x35d53y7333y735d53x378621w26c0648771x1321|name=9|style=raw}} | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_gggy2o4qa6xoooy7okmkoy1cuh6sggs6hucy1okmkoy7ooox6aq4oy2gggz78d6cs4k51244w67x368268osaaa2a4d14ssw7w21w12w7wss41d4a2aaaso862863x76w44215k4sc6d87|name=10|style=raw}}<ref name="post222909" /> | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_2aordd6zwp21so8ogzxhhwhhzwj8g73231z8a3rmmc|name=9|style=raw}} | |||
| style="background: #c0c0c0;" | - | |||
| style="background: #c0c0c0;" | - | |||
|} | |||
==Known diagonal spaceships by diagonal width and height== | ==Known diagonal spaceships by diagonal width and height== | ||
| Line 643: | Line 811: | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_o8g351z1|name=11|style=raw}} | | style="background: #80ff80;" | {{LinkCatagolue|xq4_o8g351z1|name=11|style=raw}} | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_o8g351z1|name=11|style=raw}} | | style="background: #80ff80;" | {{LinkCatagolue|xq4_o8g351z1|name=11|style=raw}} | ||
| rowspan=" | | rowspan="3" style="background: #80ff80;" | [[Glider|4]] | ||
|- | |- | ||
|strict | |strict | ||
| style="background: #80ff80;" | [[big glider|15]]<ref name="post172047" /> | | style="background: #80ff80;" | [[big glider|15]]<ref name="post172047" /> | ||
| style="background: #80ff80;" | [[big glider|15]]<ref name="post172047" /> | | rowspan="2" style="background: #80ff80;" | [[big glider|15]]<ref name="post172047" /> | ||
|- | |||
| pure | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_yig08wcc4kk8153zyf251pu2u1zycg61u602zy7oog08fge3zw84sx82b901z6923w8d01zx221|name=12|style=raw}}<ref name="post172047" /> | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_g0g056021m6gz8lh0gy1e776h2gsz01102mff1gca97w4cwgzy21446w6408g0123zya111|name=21|style=raw}}<ref name="post223806" /> | |||
|- | |- | ||
| (1,1)c/5 | | (1,1)c/5 | ||
| Line 699: | Line 871: | ||
| (1,1)c/4 | | (1,1)c/4 | ||
| style="background: #80ff80;" | [[Glider|5]]<ref name="post178496" /> | | style="background: #80ff80;" | [[Glider|5]]<ref name="post178496" /> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_y48444552gkozwg808oc72zcgfzw247|name=13|style=raw}}<ref name="post178496" /> | | rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq4_y48444552gkozwg808oc72zcgfzw247|name=13|style=raw}}<ref name="post178496" /> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_g8i17z10fg0gogy1gzy33364o21jzy5110131t4xgcozya33wee40gwkc8zyh33jgggo0gzyj11x2n98g532zyp1w176s8zyv2444kk8153|name=14|style=raw}}<ref name="post178496" /> | | rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq4_g8i17z10fg0gogy1gzy33364o21jzy5110131t4xgcozya33wee40gwkc8zyh33jgggo0gzyj11x2n98g532zyp1w176s8zyv2444kk8153|name=14|style=raw}}<ref name="post178496" /> | ||
| style="background: #80ff80;" | [[Glider|5]]<ref name="post178496" /> | | rowspan="2" style="background: #80ff80;" | [[Glider|5]]<ref name="post178496" /> | ||
|- | |||
| pure | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_yvoic6332gkozypgs04s811gzyl4s68f11x123zyg8kg1731zyeg2289czy7oq8akis263zy2iac52z48k27138gszx247|name=13|style=raw}}<ref name="post178496" /> | |||
|- | |- | ||
| (1,1)c/5 | | (1,1)c/5 | ||
| style="background: #80ff80;" | [[58P5H1V1|12]]<ref name="post172628" /> | | style="background: #80ff80;" | [[58P5H1V1|12]]<ref name="post172628" /> | ||
| style="background: #80ff80;" | [[58P5H1V1|12]]<ref name="post172628" /> | | style="background: #80ff80;" | [[58P5H1V1|12]]<ref name="post172628" /> | ||
| style="background: #80ff80;" | [[58P5H1V1|12]]<ref name="post172628" /> | | rowspan="2" style="background: #80ff80;" | [[58P5H1V1|12]]<ref name="post172628" /> | ||
| style="background: #c0c0c0;" | - | | rowspan="2" style="background: #c0c0c0;" | - | ||
|- | |- | ||
| pure | |||
| style="background: #ffa0a0;" | 12<ref name="post172628" /> | |||
| style="background: #ffa0a0;" | 12<ref name="post172628" /> | |||
|- | |- | ||
| (1,1)c/6 | | (1,1)c/6 | ||
| style="background: #80ff80;" | [[77P6H1V1|12]]<ref name="post4365" /> | | style="background: #80ff80;" | [[77P6H1V1|12]]<ref name="post4365" /> | ||
| style="background: #80ff80;" | [[77P6H1V1|12]]<ref name="post4365" /> | | rowspan="2" style="background: #80ff80;" | [[77P6H1V1|12]]<ref name="post4365" /> | ||
| style="background: #ffa0a0;" | | | rowspan="2" style="background: #ffa0a0;" | 12<ref name="post224014" /> | ||
| style="background: #ffa0a0;" | | | rowspan="2" style="background: #ffa0a0;" | 12<ref name="post224014" /> | ||
|- | |||
| pure | |||
| style="background: #ffa0a0;" | 12<ref name="post224014" /> | |||
|- | |- | ||
|} | |} | ||
| Line 728: | Line 909: | ||
| (1,0)c/2 | | (1,0)c/2 | ||
| style="background: #80ff80;" | [[64P2H1V0|64]]<ref name="amling-c/2-pop-le-98" /> | | style="background: #80ff80;" | [[64P2H1V0|64]]<ref name="amling-c/2-pop-le-98" /> | ||
| style="background: #80ff80;" | [[64P2H1V0|64]]<ref name="amling-c/2-pop-le-98" /> | | rowspan="2" style="background: #80ff80;" | [[64P2H1V0|64]]<ref name="amling-c/2-pop-le-98" /> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq2_1fc0s04g0tje28agga82ejt0g40s0cf1zx112731ya137211|name=66|style=raw}}<ref name="amling-c/2-pop-le-98" /> | | rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq2_1fc0s04g0tje28agga82ejt0g40s0cf1zx112731ya137211|name=66|style=raw}}<ref name="amling-c/2-pop-le-98" /> | ||
| style="background: #80ff80;" | [[70P2H1V0.1|70]]<ref name="amling-c/2-pop-le-98" /> | | rowspan="2" style="background: #80ff80;" | [[70P2H1V0.1|70]]<ref name="amling-c/2-pop-le-98" /> | ||
| style="background: #c0c0c0;" | - | | rowspan="2" style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | rowspan="2" style="background: #c0c0c0;" | - | ||
|- | |||
| pure | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq2_38h6kogzwiiqq241hiszw1y122q2imogzy88gmghezy6c08621|name=65|style=raw}}<ref name="amling-c/2-pop-le-98" /> | |||
|- | |- | ||
| (1,0)c/3 | | (1,0)c/3 | ||
|rowspan="2" style="background: #80ff80;" | [[25P3H1V0.1| | |rowspan="2" style="background: #80ff80;" | [[25P3H1V0.1|25]]<ref name="amling-c/3-pop-le-49" /> | ||
|rowspan="2" style="background: #80ff80;" | [[Dart|34]]<ref name="amling-c/3-pop-le-49" /> | |rowspan="2" style="background: #80ff80;" | [[Dart|34]]<ref name="amling-c/3-pop-le-49" /> | ||
|rowspan="2" style="background: #80ff80;" | [[Turtle|44]]<ref name="amling-c/3-pop-le-49" /> | |rowspan="2" style="background: #80ff80;" | [[Turtle|44]]<ref name="amling-c/3-pop-le-49" /> | ||
| Line 742: | Line 926: | ||
|rowspan="2" style="background: #c0c0c0;" | - | |rowspan="2" style="background: #c0c0c0;" | - | ||
|- | |- | ||
|strict | | strict | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq3_xr3v488zcori2gzxnkzocc704zw3d1sg88zx333|name=52|style=raw}}<ref name="amling-c/3-odd-pop-le-52" /> | | style="background: #80ff80;" | {{LinkCatagolue|xq3_xr3v488zcori2gzxnkzocc704zw3d1sg88zx333|name=52|style=raw}}<ref name="amling-c/3-odd-pop-le-52" /> | ||
|- | |- | ||
| (1,0)c/4 | | (1,0)c/4 | ||
| style="background: #80ff80;" | [[37P4H1V0|37]]<ref name="amling-c/4-pop-le-37" /> | | rowspan="2" style="background: #80ff80;" | [[37P4H1V0|37]]<ref name="amling-c/4-pop-le-37" /> | ||
| style="background: #80ff80;" | [[46P4H1V0|46]]<ref name="post172207" /> | | style="background: #80ff80;" | [[46P4H1V0|46]]<ref name="post172207" /> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_13ho8gyeg8oh31zw134dh1i0s0s8w8s0s0i1hd431zy74b8228b4|name=58|style=raw}}<ref name="post172249" /> | | rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq4_13ho8gyeg8oh31zw134dh1i0s0s8w8s0s0i1hd431zy74b8228b4|name=58|style=raw}}<ref name="post172249" /> | ||
| style="background: #80ff80;" | [[46P4H1V0|46]]<ref name="post172207" /> | | rowspan="2" style="background: #80ff80;" | [[46P4H1V0|46]]<ref name="post172207" /> | ||
| style="background: #c0c0c0;" | - | | rowspan="2" style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | rowspan="2" style="background: #c0c0c0;" | - | ||
|- | |||
| pure | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_7094uz4ee2dd0kg0gzxs0kk08mk1zgoo0oo0k4142zg19hu2z30201|name=59|style=raw}}<ref name="post179535" /> | |||
|- | |- | ||
| (1,1)c/4 | | (1,1)c/4 | ||
|rowspan="2" style="background: #80ff80;" | [[Glider|5]] | | rowspan="2" style="background: #80ff80;" | [[Glider|5]] | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_o8g351z1|name=10|style=raw}}<ref name="amling-(1,1)c/4-pop-le-9" /><ref name="post219270" /> | | style="background: #80ff80;" | {{LinkCatagolue|xq4_o8g351z1|name=10|style=raw}}<ref name="amling-(1,1)c/4-pop-le-9" /><ref name="post219270" /> | ||
|rowspan=" | | rowspan="3" style="background: #c0c0c0;" | - | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_o8g351z1|name=10|style=raw}}<ref name="amling-(1,1)c/4-pop-le-9" /><ref name="post219270" /> | | style="background: #80ff80;" | {{LinkCatagolue|xq4_o8g351z1|name=10|style=raw}}<ref name="amling-(1,1)c/4-pop-le-9" /><ref name="post219270" /> | ||
|rowspan=" | | rowspan="3" style="background: #c0c0c0;" | - | ||
|rowspan=" | | rowspan="3" style="background: #80ff80;" | [[Glider|5]] | ||
|- | |||
| strict | |||
| rowspan="2" style="background: #ffa0a0;" | 29<ref name="post219270" /> < p ≤ {{LinkCatagolue|xq4_y48444552gkozwg808oc72zcgfzw247|name=37|style=raw}} | |||
| rowspan="2" style="background: #ffa0a0;" | 29<ref name="post219270" /> < p ≤ {{LinkCatagolue|xq4_y184ltgz8ok0bd225dmo8ggzy6o9mp39703zy56c2|name=50|style=raw}} | |||
|- | |- | ||
| | | pure | ||
| style="background: #ffa0a0;" | | | style="background: #ffa0a0;" | 27<ref name="post219697" /> < p ≤ [[B29|29]] | ||
|- | |- | ||
|(2,0)c/4 | | (2,0)c/4 | ||
|rowspan="2" style="background: #80ff80;" | [[Lightweight spaceship|9]] | | rowspan="2" style="background: #80ff80;" | [[Lightweight spaceship|9]] | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_6frcxcrf6|name=18|style=raw}} | | style="background: #80ff80;" | {{LinkCatagolue|xq4_6frcxcrf6|name=18|style=raw}} | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_6rucwcur6|name=18|style=raw}} | | style="background: #80ff80;" | {{LinkCatagolue|xq4_6rucwcur6|name=18|style=raw}} | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_6frcxcrf6|name=18|style=raw}} | | style="background: #80ff80;" | {{LinkCatagolue|xq4_6frcxcrf6|name=18|style=raw}} | ||
|rowspan=" | | rowspan="3" style="background: #80ff80;" | [[Lightweight spaceship|9]] | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_6frcx6frc|name=18|style=raw}} | | style="background: #80ff80;" | {{LinkCatagolue|xq4_6frcx6frc|name=18|style=raw}} | ||
|- | |- | ||
|strict | | strict | ||
| style="background: #80ff80;" | [[MWSS on MWSS 1|20]]<ref name="amling-c/3-odd-pop-le-52" /><ref name="NiemiecCounts" /> | | style="background: #80ff80;" | [[MWSS on MWSS 1|20]]<ref name="amling-c/3-odd-pop-le-52" /><ref name="NiemiecCounts" /> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_e9885zxe994o10czy3g9fzx79921803z7911a|name=48|style=raw}}<ref name="post203118" /> | | rowspan="2" style="background: #80ff80;" | {{LinkCatagolue|xq4_e9885zxe994o10czy3g9fzx79921803z7911a|name=48|style=raw}}<ref name="post203118" /> | ||
| style="background: #80ff80;" | [[MWSS on MWSS 1|20]]<ref name="amling-c/3-odd-pop-le-52" /><ref name="NiemiecCounts" /> | | rowspan="2" style="background: #80ff80;" | [[MWSS on MWSS 1|20]]<ref name="amling-c/3-odd-pop-le-52" /><ref name="NiemiecCounts" /> | ||
| style="background: #80ff80;" | [[Two HWSS dragging boat|32]]<ref name="post203142" /> | | rowspan="2" style="background: #80ff80;" | [[Two HWSS dragging boat|32]]<ref name="post203142" /> | ||
|- | |||
| pure | |||
| style="background: #80ff80;" | [[LWSS on MWSS 1|20]]<ref name="NiemiecCounts" /><ref name="post203054" /> | |||
| style="background: #80ff80;" | [[Big A|32]]<ref name="amling-c/3-odd-pop-le-52" /> | |||
|- | |- | ||
| (1,0)c/5 | | (1,0)c/5 | ||
| Line 796: | Line 990: | ||
|- | |- | ||
| (2,0)c/5 | | (2,0)c/5 | ||
|rowspan=" | |rowspan="3" style="background: #80ff80;" | [[30P5H2V0|30]]<ref name="amling-2c/5-pop-le-31" /> | ||
|rowspan="2" style="background: #80ff80;" | [[44P5H2V0|44]]<ref name="post177064" /> | |rowspan="2" style="background: #80ff80;" | [[44P5H2V0|44]]<ref name="post177064" /> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_0gggwmdhdmggwggmdhdmwgggz2h9nx1x22w22x1xn9h2|name=60|style=raw}}<ref name="post181787" /> | | style="background: #80ff80;" | {{LinkCatagolue|xq5_0gggwmdhdmggwggmdhdmwgggz2h9nx1x22w22x1xn9h2|name=60|style=raw}}<ref name="post181787" /> | ||
|rowspan=" | |rowspan="3" style="background: #80ff80;" | [[44P5H2V0|44]]<ref name="post177064" /> | ||
|rowspan=" | |rowspan="3" style="background: #c0c0c0;" | - | ||
|rowspan=" | |rowspan="3" style="background: #c0c0c0;" | - | ||
|- | |- | ||
|strict | |strict | ||
| style="background: #80ff80;" | [[70P5H2V0|70]]<ref name="post220821" /> | | rowspan="2" style="background: #80ff80;" | [[70P5H2V0|70]]<ref name="post220821" /> | ||
|- | |||
| pure | |||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_ggg035d2sg0gs2d530gggz3sfcwc8r2o2r8cwcfs3|name=57|style=raw}}<ref name="post181755" /> | |||
|- | |- | ||
| (1,0)c/6 | | (1,0)c/6 | ||
| Line 927: | Line 1,124: | ||
* All (2,0)c/4 even-glide-symmetric ships up to a population of 35 cells ([[Two HWSS dragging boat|1 strict ship]])<ref name="post203142" /> | * All (2,0)c/4 even-glide-symmetric ships up to a population of 35 cells ([[Two HWSS dragging boat|1 strict ship]])<ref name="post203142" /> | ||
* All (2,0)c/4 ships up to width 11 (7 ships)<ref name="post126570" /> | * All (2,0)c/4 ships up to width 11 (7 ships)<ref name="post126570" /> | ||
* All (2,0)c/4 ships up to single-phase width 9 (3 width-4 ships: [[LWSS]], [[MWSS]], and [[HWSS]]; [[MWSS on MWSS 3|1 width-8 ship]]; 18 width-9 ships)<ref name="post222481" /> | |||
* All (2,0)c/4 ships up to height 7 (strings of interacting [[lightweight spaceship|lightweight]] and [[middleweight spaceship|middleweight]] spaceships only)<ref name="post172309" /> | * All (2,0)c/4 ships up to height 7 (strings of interacting [[lightweight spaceship|lightweight]] and [[middleweight spaceship|middleweight]] spaceships only)<ref name="post172309" /> | ||
* All (2,0)c/4 ships up to single-phase height 6 ({{LinkCatagolue|xq4_6ud72zuf92iszogl58oz3vk221z33572|name=this ship|style=raw}} and strings of interacting [[lightweight spaceship|lightweight]] and [[middleweight spaceship|middleweight]] spaceships)<ref name="post222547" /> | |||
* All (2,0)c/4 odd-symmetric ships up to width 15 (6 strict ships: [[MWSS on MWSS 1]], [[HWSS on HWSS 1]], [[X66]], and three [[hivenudger]] variants)<ref name="MM2"/> | * All (2,0)c/4 odd-symmetric ships up to width 15 (6 strict ships: [[MWSS on MWSS 1]], [[HWSS on HWSS 1]], [[X66]], and three [[hivenudger]] variants)<ref name="MM2"/> | ||
* All (2,0)c/4 odd-symmetric ships up to single-phase width 13 (2 width-9 ships: [[MWSS on MWSS 1]] and [[HWSS on HWSS 1]]; [[X66|1 width-11 ship]]; [[hivenudger|9 width-13 ships]])<ref name="post222481" /> | |||
* All (2,0)c/4 gutter-symmetric ships up to width 17 (3 strict ships: [[MWSS on MWSS 1]], [[HWSS on HWSS 1]], and [[X66]])<ref name="MM2"/> | * All (2,0)c/4 gutter-symmetric ships up to width 17 (3 strict ships: [[MWSS on MWSS 1]], [[HWSS on HWSS 1]], and [[X66]])<ref name="MM2"/> | ||
* All (2,0)c/4 odd-glide-symmetric ships up to single-phase width 14 (3 width-4 ships: [[LWSS]], [[MWSS]], and [[HWSS]]; {{LinkCatagolue|xq4_i1hfw21hfz01170lhu6z0gq235d488zeeidam62ggvczwqv0r8753zxh0dn6zwce0cl6|name=1 width-12 ship|style=raw}}; 15 width-14 ships)<ref name="post222481" /> | |||
* All (2,0)c/4 even-glide-symmetric ships up to single-phase width 13 (2 ships: [[two HWSS dragging boat]] and [[comma-pusher]])<ref name="post222481" /> | |||
* All (2,0)c/4 ships up to width 13 with a population of 50 or fewer cells<ref name="post59813" /> | * All (2,0)c/4 ships up to width 13 with a population of 50 or fewer cells<ref name="post59813" /> | ||
* All (4,0)c/8 ships up to width 11 ({{LinkCatagolue|xq8_e9885e88wgs046gy34eb766cg22aazsigg83cd47307q0ne3qsma4e68mmuw177w33244zym11|name=1 period-8 ship|style=raw}})<ref name="post126570" /> | * All (4,0)c/8 ships up to width 11 ({{LinkCatagolue|xq8_e9885e88wgs046gy34eb766cg22aazsigg83cd47307q0ne3qsma4e68mmuw177w33244zym11|name=1 period-8 ship|style=raw}})<ref name="post126570" /> | ||
| Line 939: | Line 1,141: | ||
* All (1,0)c/3 even-symmetric ships up to a population of 86 cells (29 strict ships)<ref name="post172640" /> | * All (1,0)c/3 even-symmetric ships up to a population of 86 cells (29 strict ships)<ref name="post172640" /> | ||
* All (1,0)c/3 ships up to width 13<ref name="knightt-results" /> | * All (1,0)c/3 ships up to width 13<ref name="knightt-results" /> | ||
* All (1,0)c/3 ships up to height 6 (5 ships)<ref name="post172309" /> | * All (1,0)c/3 ships up to height 6 ([[25P3H1V0.1|1 height-5 ship]]; 4 height-6 ships)<ref name="post172309" /> | ||
* All (1,0)c/3 ships up to single-phase height 5 (infinitely many ships)<ref name="post222435" /> | |||
* All (1,0)c/3 odd-symmetric ships up to width 19 ([[dart|1 width-15 ship]]; infinitely many width-17+ ships)<ref name="knightt-results" /> | * All (1,0)c/3 odd-symmetric ships up to width 19 ([[dart|1 width-15 ship]]; infinitely many width-17+ ships)<ref name="knightt-results" /> | ||
* All (1,0)c/3 odd-symmetric ships up to single-phase width 15 ([[dart|1 ship]])<ref name="post222481" /> | |||
* All (1,0)c/3 even-symmetric ships up to width 20 ([[turtle|1 width-12 ship]]; infinitely many width-14+ ships)<ref name="knightt-results" /> | * All (1,0)c/3 even-symmetric ships up to width 20 ([[turtle|1 width-12 ship]]; infinitely many width-14+ ships)<ref name="knightt-results" /> | ||
* All (1,0)c/3 even-symmetric ships up to single phase width 12 ([[turtle|1 width-10 ship]]; 0 width-12 ships)<ref name="post222481" /> | |||
* All (1,0)c/3 gutter-symmetric ships up to width 21 ([[brain|1 width-17 ship]]; infinitely many width-19+ ships)<ref name="knightt-results" /> | * All (1,0)c/3 gutter-symmetric ships up to width 21 ([[brain|1 width-17 ship]]; infinitely many width-19+ ships)<ref name="knightt-results" /> | ||
* All (1,0)c/3 gutter-symmetric ships up to single-phase width 17 ([[brain|1 ship]])<ref name="knightt-results" /> | |||
* All (2,0)c/6 even-symmetric ships up to width 18<ref name="coe5" /> | * All (2,0)c/6 even-symmetric ships up to width 18<ref name="coe5" /> | ||
* All (2,0)c/6 even-glide-symmetric ships up to width 18<ref name="coe5" /> | * All (2,0)c/6 even-glide-symmetric ships up to width 18<ref name="coe5" /> | ||
| Line 953: | Line 1,159: | ||
* All (1,0)c/4 ships up to width 11<ref name="knightt-results" /> | * All (1,0)c/4 ships up to width 11<ref name="knightt-results" /> | ||
* All (1,0)c/4 ships up to height 8 ({{LinkCatagolue|xq4_02k4772z31h28oz560ao31z2ud62zhhd0gozy11|name=1 ship|style=raw}})<ref name="post172309" /> | * All (1,0)c/4 ships up to height 8 ({{LinkCatagolue|xq4_02k4772z31h28oz560ao31z2ud62zhhd0gozy11|name=1 ship|style=raw}})<ref name="post172309" /> | ||
* All (1,0)c/4 ships up to single-phase height 7 ({{LinkCatagolue|xq4_02k4772z31h28oz560ao31z2ud62zhhd0gozy11|name=1 ship|style=raw}})<ref name="post222481" /> | |||
* All (1,0)c/4 odd-symmetric ships up to width 17<ref name="knightt-results" /> | * All (1,0)c/4 odd-symmetric ships up to width 17<ref name="knightt-results" /> | ||
* All (1,0)c/4 odd-symmetric ships up to single-phase width 11 (9 ships)<ref name="post222481" /> | |||
* All (1,0)c/4 even-symmetric ships up to width 18 (2 width-16 ships: {{LinkCatagolue|xq4_w434y0434z0om7e0mm0e7mozh1kf431134fk1hzdg122e11e221gdzxp74mm47pzx166w661|name=this ship|style=raw}} and {{LinkCatagolue|xq4_wb1o4w4o1bzw7ssowoss7zy1cccczw821dccd128zxddugguddz1tb201dd102bt1zefhsiswsishfezw2e033330e2zw373y0373|name=the same ship with a tagalong|style=raw}}; infinitely many width-18 ships)<ref name="knightt-results" /> | * All (1,0)c/4 even-symmetric ships up to width 18 (2 width-16 ships: {{LinkCatagolue|xq4_w434y0434z0om7e0mm0e7mozh1kf431134fk1hzdg122e11e221gdzxp74mm47pzx166w661|name=this ship|style=raw}} and {{LinkCatagolue|xq4_wb1o4w4o1bzw7ssowoss7zy1cccczw821dccd128zxddugguddz1tb201dd102bt1zefhsiswsishfezw2e033330e2zw373y0373|name=the same ship with a tagalong|style=raw}}; infinitely many width-18 ships)<ref name="knightt-results" /> | ||
* All (1,0)c/4 even-symmetric ships up to single-phase width 14 (2 ships: {{LinkCatagolue|xq4_w434y0434z0om7e0mm0e7mozh1kf431134fk1hzdg122e11e221gdzxp74mm47pzx166w661|name=this ship|style=raw}} and {{LinkCatagolue|xq4_wb1o4w4o1bzw7ssowoss7zy1cccczw821dccd128zxddugguddz1tb201dd102bt1zefhsiswsishfezw2e033330e2zw373y0373|name=the same ship with a tagalong|style=raw}})<ref name="post222481" /> | |||
* All (1,0)c/4 gutter-symmetric ships up to width 19<ref name="knightt-results" /> | * All (1,0)c/4 gutter-symmetric ships up to width 19<ref name="knightt-results" /> | ||
| Line 962: | Line 1,171: | ||
* All (1,1)c/4 symmetric ships in an {{times|18|18}} bounding box ({{LinkCatagolue|xq4_y48444552gkozwg808oc72zcgfzw247|name=1 strict ship|style=raw}})<ref name="post172628" /> | * All (1,1)c/4 symmetric ships in an {{times|18|18}} bounding box ({{LinkCatagolue|xq4_y48444552gkozwg808oc72zcgfzw247|name=1 strict ship|style=raw}})<ref name="post172628" /> | ||
* All (1,1)c/4 gutter-symmetric ships in a {{times|19|19}} bounding box ({{LinkCatagolue|xq4_y184ltgz8ok0bd225dmo8ggzy6o9mp39703zy56c2|name=1 strict ship|style=raw}})<ref name="post172628" /> | * All (1,1)c/4 gutter-symmetric ships in a {{times|19|19}} bounding box ({{LinkCatagolue|xq4_y184ltgz8ok0bd225dmo8ggzy6o9mp39703zy56c2|name=1 strict ship|style=raw}})<ref name="post172628" /> | ||
* All (1,1)c/4 ships up to diagonal height | * All (1,1)c/4 ships up to diagonal height 13 ([[glider|1 height-5 ship]], 5 height-13 ships)<ref name="post223806" /> | ||
* All (1,1)c/4 ships up to diagonal width 13 (4 ships)<ref name="post172047" /> | * All (1,1)c/4 ships up to diagonal width 13 ([[glider|1 width-4 ship]], {{LinkCatagolue|xq4_yig08wcc4kk8153zyf251pu2u1zycg61u602zy7oog08fge3zw84sx82b901z6923w8d01zx221|name=1 width-12 ship|style=raw}}, 2 width-13 ships: {{LinkCatagolue|xq4_8k05eu08gzxa20e2q5szy068d3x2a0248zy8oo323148ezya2c6|name=this ship|style=raw}} and {{LinkCatagolue|xq4_yecc2a851zy5gk064c60121zxokga21zwsq2z42kcz361|name=this ship|style=raw}})<ref name="post172047" /> | ||
* All (1,1)c/4 ships up to orthogonal width 10 ( | * All (1,1)c/4 symmetric ships up to diagonal width 19 ([[big glider|1 wdith-15 ship]])<ref name="post223806" /> | ||
* All (1,1)c/4 ships up to single-phase orthogonal width 9 ( | * All (1,1)c/4 gutter-symmetric ships up to diagonal width 23 ([[big glider|1 width-15 ship]], {{LinkCatagolue|xq4_y2cnrmxozcsmasy1m0qi6gzx880th4d080203148ezy513hko|name=1 width-21 ship|style=raw}}, 6 width-23 ships)<ref name="post223806" /> | ||
* All (1,1)c/4 ships up to orthogonal width 10 ([[glider|1 width-3 ship]], 4 width-10 ships)<ref name="post172047" /> | |||
* All (1,1)c/4 ships up to single-phase orthogonal width 9 ([[glider|1 width-3 ship]], [[B29|1 width-7 ship]], [[swan|1 width-8 ship]], 12 width-9 ships)<ref name="post172047" /> | |||
===c/5 orthogonal=== | ===c/5 orthogonal=== | ||
| Line 982: | Line 1,193: | ||
===2c/5 orthogonal=== | ===2c/5 orthogonal=== | ||
* All (2,0)c/5 ships up to a population of | * All (2,0)c/5 ships up to a population of 37 cells (2 ships: [[30P5H2V0]] and [[34P5H2V0]])<ref name="post221244" /> | ||
* All (2,0)c/5 odd-symmetric ships up to a population of 57 cells (2 ships: [[44P5H2V0]] and {{LinkCatagolue|xq5_ggg035d2sg0gs2d530gggz3sfcwc8r2o2r8cwcfs3|name=this ship|style=raw}})<ref name="post181755" /> | * All (2,0)c/5 odd-symmetric ships up to a population of 57 cells (2 ships: [[44P5H2V0]] and {{LinkCatagolue|xq5_ggg035d2sg0gs2d530gggz3sfcwc8r2o2r8cwcfs3|name=this ship|style=raw}})<ref name="post181755" /> | ||
* All (2,0)c/5 even-symmetric ships up to a population of 74 cells (3 strict ships: [[70P5H2V0]], {{LinkCatagolue|xq5_y4j55ewe55jzy1gqf46ay0a64fqgz7pvow4x11w11x4wovp7z01yi1|name=this ship|style=raw}}, and {{LinkCatagolue|xq5_y243hf33fh34z27fs0s3ooy0oo3s0sf72zx12d9fy2f9d21|name=this ship|style=raw}})<ref name="post221244" /> | * All (2,0)c/5 even-symmetric ships up to a population of 74 cells (3 strict ships: [[70P5H2V0]], {{LinkCatagolue|xq5_y4j55ewe55jzy1gqf46ay0a64fqgz7pvow4x11w11x4wovp7z01yi1|name=this ship|style=raw}}, and {{LinkCatagolue|xq5_y243hf33fh34z27fs0s3ooy0oo3s0sf72zx12d9fy2f9d21|name=this ship|style=raw}})<ref name="post221244" /> | ||
* All (2,0)c/5 ships up to width 12 ({{LinkCatagolue|xq5_rhlmggz3gggoar7zxpdm57zwmk8izw1ghe2zwmdb|name=1 width-10 ship|style=raw}}; infinitely many width-11 ships; infinitely many width-12 ships)<ref name="knightt-results" /> | * All (2,0)c/5 ships up to width 12 ({{LinkCatagolue|xq5_rhlmggz3gggoar7zxpdm57zwmk8izw1ghe2zwmdb|name=1 width-10 ship|style=raw}}; infinitely many width-11 ships; infinitely many width-12 ships)<ref name="knightt-results" /> | ||
* All (2,0)c/5 ships up to single-phase width 9 ({{LinkCatagolue|xq5_rhlmggz3gggoar7zxpdm57zwmk8izw1ghe2zwmdb|name=1 width-8 ship|style=raw}}; 0 width-9 ships)<ref name="post222481" /> | |||
* All (2,0)c/5 odd-symmetric ships up to width 17 ([[44P5H2V0|1 width-15 ship]]; infinitely many width-17 ships)<ref name="knightt-results" /> | * All (2,0)c/5 odd-symmetric ships up to width 17 ([[44P5H2V0|1 width-15 ship]]; infinitely many width-17 ships)<ref name="knightt-results" /> | ||
* All (2,0)c/5 even-symmetric ships up to width 20 ([[70P5H2V0|1 ship]])<ref name="knightt-results" /> | * All (2,0)c/5 even-symmetric ships up to width 20 ([[70P5H2V0|1 ship]])<ref name="knightt-results" /> | ||
* All (2,0)c/5 even-symmetric ships up to single-phase width 18 ([[70P5H2V0|1 ship]])<ref name="post222481" /> | |||
* All (2,0)c/5 gutter-symmetric ships up to width 21 ([[44P5H2V0|1 width-15 ship]]; {{LinkCatagolue|xq5_gv9r4oy3o4r9vgz11cv011gxg110vc11zw2m5j9rg0gr9j5m2zwecl52pxp25lcez066kpc9gxg9cpk66zxhd8l11011l8dhz06v1f0eic0cie0f1v6zx152y3251|name=1 width-19 ship|style=raw}}; infinitely many width-21 ships)<ref name="knightt-results" /> | * All (2,0)c/5 gutter-symmetric ships up to width 21 ([[44P5H2V0|1 width-15 ship]]; {{LinkCatagolue|xq5_gv9r4oy3o4r9vgz11cv011gxg110vc11zw2m5j9rg0gr9j5m2zwecl52pxp25lcez066kpc9gxg9cpk66zxhd8l11011l8dhz06v1f0eic0cie0f1v6zx152y3251|name=1 width-19 ship|style=raw}}; infinitely many width-21 ships)<ref name="knightt-results" /> | ||
* All (2,0)c/5 gutter-symmetric ships up to single-phase width 17 ([[44P5H2V0|1 width-15 ship]]; 0 width-17 ships)<ref name="post222481" /> | |||
* All (4,0)c/10 odd-symmetric ships up to width 15 (3 period-10 ships)<ref name="MM2"/> | * All (4,0)c/10 odd-symmetric ships up to width 15 (3 period-10 ships)<ref name="MM2"/> | ||
| Line 994: | Line 1,208: | ||
* All (1,0)c/6 even-symmetric ships up to width 18 ([[dragon|1 ship]])<ref name="knightt-results" /> | * All (1,0)c/6 even-symmetric ships up to width 18 ([[dragon|1 ship]])<ref name="knightt-results" /> | ||
===c/6 diagonal=== | |||
* All (1,1)c/6 ships up to diagonal height 12 ([[77P6H1V1|1 ship]])<ref name="post224014" /> | |||
===2c/7 orthogonal=== | ===2c/7 orthogonal=== | ||
| Line 1,396: | Line 1,614: | ||
|author = Keith Amling | |author = Keith Amling | ||
|date = November 10, 2025 | |date = November 10, 2025 | ||
}}</ref> | |||
<ref name="post222435">{{LinkForumThread | |||
|format = ref | |||
|p = 222435 | |||
|title = Re: Spaceship Discussion Thread | |||
|author = Matthias Merzenich | |||
|date = December 8, 2025 | |||
}}</ref> | |||
<ref name="post222440">{{LinkForumThread | |||
|format = ref | |||
|p = 222440 | |||
|title = Re: LLSSS min pop search results spam | |||
|author = Keith Amling | |||
|date = December 8, 2025 | |||
}}</ref> | |||
<ref name="post222442">{{LinkForumThread | |||
|format = ref | |||
|p = 222442 | |||
|title = Re: LLSSS min pop search results spam | |||
|author = Keith Amling | |||
|date = December 8, 2025 | |||
}}</ref> | |||
<ref name="post222444">{{LinkForumThread | |||
|format = ref | |||
|p = 222444 | |||
|title = Re: LLSSS min pop search results spam | |||
|author = Keith Amling | |||
|date = December 8, 2025 | |||
}}</ref> | |||
<ref name="post222481">{{LinkForumThread | |||
|format = ref | |||
|p = 222481 | |||
|title = Re: Spaceship Discussion Thread | |||
|author = Matthias Merzenich | |||
|date = December 9, 2025 | |||
}}</ref> | |||
<ref name="post222547">{{LinkForumThread | |||
|format = ref | |||
|p = 222547 | |||
|title = Re: Spaceship Discussion Thread | |||
|author = Matthias Merzenich | |||
|date = December 9, 2025 | |||
}}</ref> | |||
<ref name="post222861">{{LinkForumThread | |||
|format = ref | |||
|p = 222861 | |||
|title = Re: LLSSS min height search results | |||
|author = Matthias Merzenich | |||
|date = December 17, 2025 | |||
}}</ref> | |||
<ref name="post222837">{{LinkForumThread | |||
|format = ref | |||
|p = 222837 | |||
|title = Re: LLSSS min height search results | |||
|author = Keith Amling | |||
|date = December 17, 2025 | |||
}}</ref> | |||
<ref name="post222909">{{LinkForumThread | |||
|format = ref | |||
|p = 222909 | |||
|title = Re: LLSSS min height search results | |||
|author = Keith Amling | |||
|date = December 19, 2025 | |||
}}</ref> | |||
<ref name="post223389">{{LinkForumThread | |||
|format = ref | |||
|p = 223389 | |||
|title = Re: Spaceship Discussion Thread | |||
|author = Matthias Merzenich | |||
|date = December 31, 2025 | |||
}}</ref> | |||
<ref name="post223806">{{LinkForumThread | |||
|format = ref | |||
|p = 223806 | |||
|title = Re: Spaceship Discussion Thread | |||
|author = Matthias Merzenich | |||
|date = January 10, 2026 | |||
}}</ref> | |||
<ref name="post224014">{{LinkForumThread | |||
|format = ref | |||
|p = 224014 | |||
|title = Re: Spaceship Discussion Thread | |||
|author = Matthias Merzenich | |||
|date = January 14, 2026 | |||
}}</ref> | }}</ref> | ||
</references> | </references> | ||
Latest revision as of 03:22, 19 January 2026
Conventions
The tables below give the minimum orthogonal width and height of the envelope of a spaceship of the specified type. This is found by simulating a period-p spaceship for p iterations, with the initial phase chosen to minimise the width or height.
For types where the minimum is known, references point to the proof of minimality rather than the discovery of the ship possessing it. A stamp collection of minimum-width ships is given below the table.
Symmetry considered is in the line parallel to a spaceship's direction of motion.
Known spaceships by width
The width in the following table is the width of the envelope of the pattern after it has been run through every phase in its period and minimized over all starting phases. Further, the width is the direction perpendicular to the orthogonal direction of greatest displacement. For example, for a (2,1)c/6 ship the width is the dimension perpendicular to the direction in which the ship is displaced by 2 cells.
Note that symmetric diagonal spaceships always have an odd diagonal width (measured by half-diagonals), but since this table records the orthogonal width of the ship, the minimum width for such a ship might not be odd. The same applies to glide symmetric diagonal ships, although these ships can have odd or even width depending on whether their diagonal placement is even or odd respectively.
| Velocity | Asymmetric | Odd-symmetric | Even-symmetric | Gutter | Odd glide-symmetric | Even glide-symmetric |
|---|---|---|---|---|---|---|
| (1,0)c/2 | 21 | 21 | 28 | 21 | - | - |
| (1,0)c/3 | 12 | 15 | 12 | 17 | - | - |
| (1,0)c/4 | 10 | 13 | 16 | 17 | - | - |
| (1,1)c/4 | 3 | 7[n 1] | - | 7[n 1] | - | 3 |
| strict | 18[1] | 19[1] | ||||
| pure | 10[2] | |||||
| (2,0)c/4 | 5 | 11 | 12[n 1] | 11 | 5 | 12[n 1] |
| strict | 20[3] | 15[1] | ||||
| pure | 11[4] | 15[3] | ||||
| (1,0)c/5 | 11 | 19 | 18 | 19 | - | - |
| (1,1)c/5 | 13[5][6] | 19 < w ≤ 24 | - | 19 < w ≤ 24 | - | - |
| (2,0)c/5 | 10 | 15 | 18 | 15 | - | - |
| pure | 17[7] | |||||
| (1,0)c/6 | 12[8] | 19 | 18 | 21 | - | - |
| (1,1)c/6 | 10 < w ≤ 35 | 13 < w ≤ 36 | - | 13 < w | - | 11 < w ≤ 35 |
| (2,0)c/6 | 12[9] | 17[3] | 18[3][10] | 19[3] | 17 | 18[10] |
| (2,1)c/6 | 15[5] < w ≤ 31 | - | - | - | - | - |
| (3,0)c/6 | 21[11] | 21 | 28 | 21 | - | - |
| (1,0)c/7 | 10[12][13] | 19[13] | 22[14][n 1] | 21[12][13][n 1] | - | - |
| strict | 20[15] < w | 19[12][13] < w | ||||
| (1,1)c/7 | 9 < w ≤ 27 | 11 < w ≤ 27 | - | 11 < w | - | - |
| (2,0)c/7 | 11[16][17] | 23[3] | 18 | 25[17][18] | - | - |
| (2,1)c/7 | 11[19] | - | - | - | - | - |
| (3,0)c/7 | 14[20] | 29[21] | 28[20] | 31[20][22] | - | - |
| (1,0)c/8 | 10[23] | 19[24] | 20[25] | 21[23] | - | - |
| (1,1)c/8 | 7 < w ≤ 21 | 10 < w | - | 10 < w | - | 7 < w ≤ 21 |
| (2,0)c/8 | 9[3] | 15[3][26] | 18[3][26] | 17[3][26] | 13 | 14 |
| (2,1)c/8 | 8 | - | - | - | - | - |
| (2,2)c/8 | 8 < w ≤ 24 | 8 | - | 8 | 8 | - |
| (3,0)c/8 | 11[19] | 21[19] | 22[27] | 23[19] | - | - |
| (3,1)c/8 | 12[19] | - | - | - | - | - |
| (4,0)c/8 | 11[3] | 17[3] | 20[3] | 19[3] | 17 | 20[3] |
| (1,0)c/9 | 8[28] | 15[28] | 16[28] | 17[29] | - | - |
| (1,1)c/9 | 6 | 8 | - | 8 | - | - |
| (2,0)c/9 | 9[29] | 17[29] | 18[29] | 19[29] | - | - |
| (2,1)c/9 | 7 | - | - | - | - | - |
| (2,2)c/9 | 8 | 11 | - | 11 | - | - |
| (3,0)c/9 | 11[30] | 17[3] | 16[9] | 17[3] | - | - |
| (3,1)c/9 | 8 | - | - | - | - | - |
| (4,0)c/9 | 11[20] | 23[31] | 24[32] | 23[20] | - | - |
| (1,0)c/10 | 6[33] | 11[33] | 10 | 13[33] | - | - |
| (1,1)c/10 | 7 | 7 | - | 7 | - | 7 |
| (2,0)c/10 | 7 < w ≤ 11 | 13 < w ≤ 19 | 14 < w ≤ 20 | 15 < w ≤ 19 | 13[34] < w ≤ 19 | 14[34] < w ≤ 20 |
| (2,1)c/10 | 6 | - | - | - | - | - |
| (2,2)c/10 | 6 | 6 | - | 6 | 6 | - |
| (3,0)c/10 | 9[35] | 17[36] | 18[35] | 19 | - | - |
| (3,1)c/10 | 7 | - | - | - | - | - |
| (3,2)c/10 | 8 | - | - | - | - | - |
| (4,0)c/10 | 10[9] | 15[3] | 22[37] | 21[3] | 15[38] | 16[38] |
| (4,1)c/10 | 8 | - | - | - | - | - |
| (5,0)c/10 | 11[9] | 21[3] | 22[9] | 21[3] | - | - |
| (1,0)c/11 | 6[39] | 11[40] | 12[40] | 11[39] | - | - |
| (1,1)c/11 | ? | ? | - | ? | - | - |
| (2,0)c/11 | 7 | 11[33] | 12[33] | 13[33] | - | - |
| (2,1)c/11 | ? | - | - | - | - | - |
| (2,2)c/11 | ? | ? | - | ? | - | - |
| (3,0)c/11 | 8 | 15[29] | 16 | 17 | - | - |
| (3,1)c/11 | ? | - | - | - | - | - |
| (3,2)c/11 | ? | - | - | - | - | - |
| (4,0)c/11 | 9[41] | 17[41] | 18[41] | 19[41] | - | - |
| (4,1)c/11 | ? | - | - | - | - | - |
| (5,0)c/11 | 10[41] | 19[41] | 20[41] | 21[41] | - | - |
| (1,0)c/12 | 6[29] | 11[29] | 12[29] | 13[29] | - | - |
| (2,0)c/12[42] | 5 < w ≤ 63 | 9 | 10 | 11 | 9[43] | 8 |
| (3,0)c/12[42] | 7 | 11 | 12 | 13 | - | - |
| (4,0)c/12[42] | 7 | 13 < w ≤ 17 | 14 | 15 | ? | ? |
| (6,0)c/12[42] | 8 | 11 | 16 | 15 | ? | ? |
| Spaceships by width (click above to open LifeViewer) RLE: here Plaintext: here |
| Velocity | Asymmetric | Odd-symmetric |
Even-symmetric |
Gutter |
Odd glide-symmetric |
Even glide-symmetric |
|---|---|---|---|---|---|---|
| (1,0)c/2 | 21[44] | 21 | 28[44] | 21 | - | - |
| (1,0)c/3 | 10[44] | 15[44] | 10[44] | 17[44] | - | - |
| (1,0)c/4 | 9[44] | 11[44] | 14[44] | 17[44] | - | - |
| (1,1)c/4 | 3[2] | 6[2] | - | 6[2] | - | 3[2] |
| strict | 17[45] | 18[45] | ||||
| pure | 7 | |||||
| (2,0)c/4 | 4[44] | 9[44] | 16[44] | 9[44] | 4 | 13[44] |
| pure | 8[44] | 13[44] | ||||
| (1,0)c/5 | 10[46] | 17[46] | 18[46] | 19[46] | - | - |
| (1,1)c/5 | 12[47] | 11 < w ≤ 22 | - | 11 < w ≤ 22 | - | - |
| (2,0)c/5 | 8[44] | 15[44] | 18[44] | 15[44] | - | - |
Known spaceships by height
In this table, a ship is "pure" if it possesses the given symmetry type, but no higher symmetry type. For example, a gutter-symmetric ship is also odd-symmetric, but is not "pure" odd-symmetric.
| Velocity | Asymmetric | Odd-symmetric (strict) |
Even-symmetric (strict) |
Gutter (strict) |
Odd glide-symmetric (strict) |
Even glide-symmetric (strict) |
|---|---|---|---|---|---|---|
| (1,0)c/2 | 8[48][49] | 8 | 8 | 8 | - | - |
| (1,0)c/3 | 5[48][49] | 6[50] | 7[50] | 6[50] | - | - |
| pure | 7[50] | |||||
| (1,0)c/4 | 8[48][49][50] | 9[50] | 10[51] | 9[50] | - | - |
| pure | 10[52] | |||||
| (2,0)c/4 | 6[48][49] | 7[50] | 8[50] | 7[50] | 6 | 7[50] |
| pure | 7[49] | 7[50] | ||||
| (1,0)c/5 | 8[48][53] | 8 | 8 | 8 | - | - |
| (2,0)c/5 | 11[54][55] | 11 | 11 | 11 | - | - |
| (1,0)c/6 | 9[54] < h ≤ 12 | 9 | 9 | 9 | - | - |
| (2,0)c/6 | 7[56] < h ≤ 9 | 7 | 7 | 7 | 7 | 7 |
| (3,0)c/6 | 9[48] < h ≤ 13 | 9 | 9 | 9 | - | - |
| (1,0)c/7 | 8[54] < h ≤ 10 | 8 | 8 | 8 | - | - |
| (2,0)c/7 | 8[48] < h ≤ 12 | 8 | 8 | 8 | - | - |
| (3,0)c/7 | 8[57] < h ≤ 42 | 8 | 8 | 8 | - | - |
| Spaceships by height (click above to open LifeViewer) RLE: here Plaintext: here |
| Velocity | Asymmetric | Odd-symmetric (strict) |
Even-symmetric (strict) |
Gutter (strict) |
Odd glide-symmetric (strict) |
Even glide-symmetric (strict) |
|---|---|---|---|---|---|---|
| (1,0)c/2 | 8[58] | 8 | 8 | 8 | - | - |
| (1,0)c/3 | 5[58] | 5 | 7[58] | 5 | - | - |
| pure | 6[58] | |||||
| (1,0)c/4 | 7[58] | 8[59] | 9[60] | 8[44] | - | - |
| (2,0)c/4 | 5[58] | 6[58] | 7[46] | 6[58] | 5 | 6[46] < h ≤ 8 |
| pure | 6[58] | 7[46] | ||||
| (1,0)c/5 | 7[58] | 7 | 7 | 7 | - | - |
| (2,0)c/5 | 9[58] | 9 | 10[61] | 9 | - | - |
Known diagonal spaceships by diagonal width and height
These are measured in half-diagonals, as the width of the intersection of a 1-cell-wide orthogonal ray with the cells that turn on during the spaceship's motion.
| Velocity | Asymmetric | Symmetric | Gutter | Glide-symmetric |
|---|---|---|---|---|
| (1,1)c/4 | 4 | 11 | 11 | 4 |
| strict | 15[2] | 15[2] | ||
| pure | 12[2] | 21[62] | ||
| (1,1)c/5 | 15 | 27 | 27 | - |
| (1,1)c/6 | 13 < w ≤ 26 | 25 < w ≤ 33 | 25 < w ≤ 55 | 26[2] |
| (1,1)c/7 | 11 < w ≤ 31 | 21 < w ≤ 31 | 21 < w ≤ 65 | - |
| (1,1)c/8 | 11 < w ≤ 24 | 19 < w ≤ 51 | 19 < w ≤ 51 | 16 < w ≤ 24 |
| (2,2)c/8 | w ≤ 24 | w ≤ 51 | w ≤ 51 | w ≤ 35 |
| (1,1)c/9 | 9 | 15 | 15 | - |
| (2,2)c/9 | 11 | 21 | 21 | - |
| Velocity | Asymmetric | Symmetric (strict) | Gutter (strict) | Glide-symmetric (strict) |
|---|---|---|---|---|
| (1,1)c/4 | 5[51] | 13[51] | 14[51] | 5[51] |
| pure | 13[51] | |||
| (1,1)c/5 | 12[1] | 12[1] | 12[1] | - |
| pure | 12[1] | 12[1] | ||
| (1,1)c/6 | 12[63] | 12[63] | 12[64] | 12[64] |
| pure | 12[64] |
Known spaceships by population
Herein, "strict" is used to refer to spaceships that cannot be decomposed into multiple smaller spaceships which still behave equivalently. (For instance, MWSS on MWSS 1's MWSSs would emit their side sparks in both phases if separated, so it is strict, where a LWSS pair is not.)
The evolution sequences of all patterns with up to 8 cells have been classified, so all stable objects of ≤ 8 cells (or with predecessors thereof) are known. As such, all negative results here have 8 as an additional lower bound.[65]
| Velocity | Asymmetric | Odd-symmetric | Even-symmetric | Gutter | Odd glide-symmetric | Even glide-symmetric |
|---|---|---|---|---|---|---|
| (1,0)c/2 | 64[66] | 64[66] | 66[66] | 70[66] | - | - |
| pure | 65[66] | |||||
| (1,0)c/3 | 25[67] | 34[67] | 44[67] | 50[67] | - | - |
| strict | 52[68] | |||||
| (1,0)c/4 | 37[69] | 46[70] | 58[71] | 46[70] | - | - |
| pure | 59[72] | |||||
| (1,1)c/4 | 5 | 10[73][74] | - | 10[73][74] | - | 5 |
| strict | 29[74] < p ≤ 37 | 29[74] < p ≤ 50 | ||||
| pure | 27[75] < p ≤ 29 | |||||
| (2,0)c/4 | 9 | 18 | 18 | 18 | 9 | 18 |
| strict | 20[68][76] | 48[77] | 20[68][76] | 32[78] | ||
| pure | 20[76][79] | 32[68] | ||||
| (1,0)c/5 | p ≤ 58 | p ≤ 58 | p ≤ 116 | p ≤ 58 | - | - |
| (1,1)c/5 | p ≤ 58 | p ≤ 58 | - | p ≤ 58 | - | - |
| (2,0)c/5 | 30[80] | 44[81] | 60[82] | 44[81] | - | - |
| strict | 70[83] | |||||
| pure | 57[84] | |||||
| (1,0)c/6 | p ≤ 56 | p ≤ 112 | p ≤ 56 | p ≤ 112 | - | - |
| (1,1)c/6 | p ≤ 77 | p ≤ 77 | - | p ≤ 154 | - | p ≤ 170 |
| (2,0)c/6 | p ≤ 72 | p ≤ 72 | p ≤ 128 | p ≤ 72 | p ≤ 110 | p ≤ 129 |
| (2,1)c/6 | p ≤ 282 | - | - | - | - | - |
| (3,0)c/6 | p ≤ 86 | p ≤ 86 | p ≤ 104 | p ≤ 108 | - | - |
| (1,0)c/7 | p ≤ 20 | p ≤ 40 | p ≤ 40 | p ≤ 40 | - | - |
| strict | p ≤ 90 | p ≤ 684 | p ≤ 90 | |||
| (1,1)c/7 | p ≤ 83 | p ≤ 83 | - | p ≤ 166 | - | - |
| (2,0)c/7 | p ≤ 36 | p ≤ 72 | p ≤ 36 | p ≤ 72 | - | - |
| (3,0)c/7 | p ≤ 232 | p ≤ 232 | ? | p ≤ 232 | - | - |
| (1,1)c/8 | p ≤ 68 | ? | - | ? | - | p ≤ 68 |
| (2,0)c/8 | p ≤ 74 | p ≤ 121 | p ≤ 148 | p ≤ 148 | p ≤ 74 | p ≤ 148 |
| (2,2)c/8 | p ≤ 89 | ? | - | ? | ? | - |
| (4,0)c/8 | p ≤ 31 | p ≤ 58 | p ≤ 62 | p ≤ 58 | p ≤ 62 | p ≤ 62 |
Full Censuses
This section contains details on searches that completely cover all ships in a particular search space. For example, all c/4 orthogonal ships of width 10. There are infinitely many such ships, but a finite collection can be made that includes all possible rows present in a width-10 c/4 orthogonal ship. This section only includes census containing at least one ship.
c/2 orthogonal
- All (1,0)c/2 ships up to a population of 127 cells[85] (total number of ships only; complete stamp collection up to 80 cells[86])
- All (2,0)c/4 ships up to a population of 25 cells (28 ships)[76][79]
- All (2,0)c/4 odd-symmetric ships up to a population of 35 cells (4 strict ships: MWSS on MWSS 1, HWSS on HWSS 1, Big A, and X66)[87]
- All (2,0)c/4 even-symmetric ships up to a population of 48 cells (1 strict ship)[77]
- All (2,0)c/4 even-glide-symmetric ships up to a population of 35 cells (1 strict ship)[78]
- All (2,0)c/4 ships up to width 11 (7 ships)[4]
- All (2,0)c/4 ships up to single-phase width 9 (3 width-4 ships: LWSS, MWSS, and HWSS; 1 width-8 ship; 18 width-9 ships)[44]
- All (2,0)c/4 ships up to height 7 (strings of interacting lightweight and middleweight spaceships only)[50]
- All (2,0)c/4 ships up to single-phase height 6 (this ship and strings of interacting lightweight and middleweight spaceships)[46]
- All (2,0)c/4 odd-symmetric ships up to width 15 (6 strict ships: MWSS on MWSS 1, HWSS on HWSS 1, X66, and three hivenudger variants)[3]
- All (2,0)c/4 odd-symmetric ships up to single-phase width 13 (2 width-9 ships: MWSS on MWSS 1 and HWSS on HWSS 1; 1 width-11 ship; 9 width-13 ships)[44]
- All (2,0)c/4 gutter-symmetric ships up to width 17 (3 strict ships: MWSS on MWSS 1, HWSS on HWSS 1, and X66)[3]
- All (2,0)c/4 odd-glide-symmetric ships up to single-phase width 14 (3 width-4 ships: LWSS, MWSS, and HWSS; 1 width-12 ship; 15 width-14 ships)[44]
- All (2,0)c/4 even-glide-symmetric ships up to single-phase width 13 (2 ships: two HWSS dragging boat and comma-pusher)[44]
- All (2,0)c/4 ships up to width 13 with a population of 50 or fewer cells[88]
- All (4,0)c/8 ships up to width 11 (1 period-8 ship)[4]
c/3 orthogonal
- All (1,0)c/3 ships up to a population of 50 cells[67][89]
- All (1,0)c/3 odd-symmetric ships up to a population of 67 cells (26 strict ships)[90]
- All (1,0)c/3 even-symmetric ships up to a population of 86 cells (29 strict ships)[91]
- All (1,0)c/3 ships up to width 13[7]
- All (1,0)c/3 ships up to height 6 (1 height-5 ship; 4 height-6 ships)[50]
- All (1,0)c/3 ships up to single-phase height 5 (infinitely many ships)[58]
- All (1,0)c/3 odd-symmetric ships up to width 19 (1 width-15 ship; infinitely many width-17+ ships)[7]
- All (1,0)c/3 odd-symmetric ships up to single-phase width 15 (1 ship)[44]
- All (1,0)c/3 even-symmetric ships up to width 20 (1 width-12 ship; infinitely many width-14+ ships)[7]
- All (1,0)c/3 even-symmetric ships up to single phase width 12 (1 width-10 ship; 0 width-12 ships)[44]
- All (1,0)c/3 gutter-symmetric ships up to width 21 (1 width-17 ship; infinitely many width-19+ ships)[7]
- All (1,0)c/3 gutter-symmetric ships up to single-phase width 17 (1 ship)[7]
- All (2,0)c/6 even-symmetric ships up to width 18[10]
- All (2,0)c/6 even-glide-symmetric ships up to width 18[10]
c/4 orthogonal
- All (1,0)c/4 ships up to a population of 37 cells (1 ship)[69]
- All (1,0)c/4 odd-symmetric ships up to a population of 61 cells (4 ships: 46P4H1V0, this 59-cell ship, this 61-cell ship, and this 61-cell ship)[72]
- All (1,0)c/4 even-symmetric ships up to a population of 58 cells (1 ship)[71]
- All (1,0)c/4 ships up to width 11[7]
- All (1,0)c/4 ships up to height 8 (1 ship)[50]
- All (1,0)c/4 ships up to single-phase height 7 (1 ship)[44]
- All (1,0)c/4 odd-symmetric ships up to width 17[7]
- All (1,0)c/4 odd-symmetric ships up to single-phase width 11 (9 ships)[44]
- All (1,0)c/4 even-symmetric ships up to width 18 (2 width-16 ships: this ship and the same ship with a tagalong; infinitely many width-18 ships)[7]
- All (1,0)c/4 even-symmetric ships up to single-phase width 14 (2 ships: this ship and the same ship with a tagalong)[44]
- All (1,0)c/4 gutter-symmetric ships up to width 19[7]
c/4 diagonal
- All (1,1)c/4 ships up to a population of 27 cells (3 ships: glider, crab, and wings)[75]
- All (1,1)c/4 symmetric ships in an 18 × 18 bounding box (1 strict ship)[1]
- All (1,1)c/4 gutter-symmetric ships in a 19 × 19 bounding box (1 strict ship)[1]
- All (1,1)c/4 ships up to diagonal height 13 (1 height-5 ship, 5 height-13 ships)[62]
- All (1,1)c/4 ships up to diagonal width 13 (1 width-4 ship, 1 width-12 ship, 2 width-13 ships: this ship and this ship)[2]
- All (1,1)c/4 symmetric ships up to diagonal width 19 (1 wdith-15 ship)[62]
- All (1,1)c/4 gutter-symmetric ships up to diagonal width 23 (1 width-15 ship, 1 width-21 ship, 6 width-23 ships)[62]
- All (1,1)c/4 ships up to orthogonal width 10 (1 width-3 ship, 4 width-10 ships)[2]
- All (1,1)c/4 ships up to single-phase orthogonal width 9 (1 width-3 ship, 1 width-7 ship, 1 width-8 ship, 12 width-9 ships)[2]
c/5 orthogonal
- All (1,0)c/5 ships up to height 8[92]
- All (1,0)c/5 even-symmetric ships up to width 18[7]
- All (1,0)c/5 gutter-symmetric ships up to width 19[7]
c/5 diagonal
- All (1,1)c/5 ships up to diagonal height 12 (1 ship)[1]
- All (1,1)c/5 ships up to diagonal width 16 (1 ship)[50]
- All (1,1)c/5 symmetric ships up to diagonal width 27 (2 ships: 86P5H1V1 and this ship)[93]
- All (1,1)c/5 gutter-symmetric ships up to diagonal width 29 (1 ship)[50]
2c/5 orthogonal
- All (2,0)c/5 ships up to a population of 37 cells (2 ships: 30P5H2V0 and 34P5H2V0)[94]
- All (2,0)c/5 odd-symmetric ships up to a population of 57 cells (2 ships: 44P5H2V0 and this ship)[84]
- All (2,0)c/5 even-symmetric ships up to a population of 74 cells (3 strict ships: 70P5H2V0, this ship, and this ship)[94]
- All (2,0)c/5 ships up to width 12 (1 width-10 ship; infinitely many width-11 ships; infinitely many width-12 ships)[7]
- All (2,0)c/5 ships up to single-phase width 9 (1 width-8 ship; 0 width-9 ships)[44]
- All (2,0)c/5 odd-symmetric ships up to width 17 (1 width-15 ship; infinitely many width-17 ships)[7]
- All (2,0)c/5 even-symmetric ships up to width 20 (1 ship)[7]
- All (2,0)c/5 even-symmetric ships up to single-phase width 18 (1 ship)[44]
- All (2,0)c/5 gutter-symmetric ships up to width 21 (1 width-15 ship; 1 width-19 ship; infinitely many width-21 ships)[7]
- All (2,0)c/5 gutter-symmetric ships up to single-phase width 17 (1 width-15 ship; 0 width-17 ships)[44]
- All (4,0)c/10 odd-symmetric ships up to width 15 (3 period-10 ships)[3]
c/6 orthogonal
c/6 diagonal
2c/7 orthogonal
- All (2,0)c/7 even-symmetric ships up to width 22 (2 ships: weekender and weekender + tagalong)[95]
c/10 orthogonal
- All (1,0)c/10 even-symmetric ships up to width 12 (1 width-10 ship; infinitely many width-12 ships)[3]
See also
Notes
References
- ↑ 1.00 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.10 Matthias Merzenich (December 6, 2023). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 2.00 2.01 2.02 2.03 2.04 2.05 2.06 2.07 2.08 2.09 2.10 2.11 Matthias Merzenich (November 27, 2023). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 3.00 3.01 3.02 3.03 3.04 3.05 3.06 3.07 3.08 3.09 3.10 3.11 3.12 3.13 3.14 3.15 3.16 3.17 3.18 3.19 3.20 3.21 3.22 3.23 3.24 Matthias Merzenich (March 17, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 4.0 4.1 4.2 Matthias Merzenich (March 22, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 5.0 5.1 Tim Coe (December 18, 2015). Re: 3c/7 othogonal and 2c/9 diagonal spaceships (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (December 17, 2025). Re: LLSSS min height search results (discussion thread) at the ConwayLife.com forums
- ↑ 7.00 7.01 7.02 7.03 7.04 7.05 7.06 7.07 7.08 7.09 7.10 7.11 7.12 7.13 7.14 7.15 7.16 "knightt results". Matthias Merzenich. Retrieved on February 17, 2024.
- ↑ praosylen (May 13, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 9.0 9.1 9.2 9.3 9.4 Matthias Merzenich (April 14, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 10.0 10.1 10.2 10.3 Tim Coe (April 13, 2016). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (January 18, 2023). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 12.0 12.1 12.2 Tim Coe (June 11, 2016). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 13.0 13.1 13.2 13.3 Matthias Merzenich (December 24, 2016). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (June 14, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (June 14, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Tomas Rokicki (March 1, 2018). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 17.0 17.1 Matthias Merzenich (April 26, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ shuich01 (May 28, 2025). Re: Spaceship Discussion Thread, in which the first w25gutter 2c/7 was discovered with LSSS (may not be shortest possible)
- ↑ 19.0 19.1 19.2 19.3 19.4 Checked with knight2.c
- ↑ 20.0 20.1 20.2 20.3 20.4 Tim Coe (April 17, 2016). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Checked by Paul Tooke with gfind
- ↑ Dylan Chen (January 10, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 23.0 23.1 Matthias Merzenich (November 29, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (February 25, 2020). Re: Help me finish this c/8 search (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (December 22, 2022). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 26.0 26.1 26.2 Tim Coe (April 21, 2016). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Tanner Jacobi (December 3, 2015). Re: 3c/7 othogonal and 2c/9 diagonal spaceships (discussion thread) at the ConwayLife.com forums
- ↑ 28.0 28.1 28.2 AforAmpere (November 5, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 29.0 29.1 29.2 29.3 29.4 29.5 29.6 29.7 29.8 29.9 Alex Greason (September 7, 2025). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (March 26, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Exa (December 7, 2024). Message in #cgol on the Conwaylife Lounge Discord server, in which 4c/9 w24e was disproven with qfind
- ↑ Exa (December 6, 2024). Message in #cgol on the Conwaylife Lounge Discord server, in which 4c/9 w24e was disproven with qfind
- ↑ 33.0 33.1 33.2 33.3 33.4 33.5 praosylen (January 5, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 34.0 34.1 Tim Coe (March 1, 2016). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 35.0 35.1 AforAmpere (November 13, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ AforAmpere (December 10, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (April 19, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 38.0 38.1 Tim Coe (February 1, 2016). Re: 3c/7 othogonal and 2c/9 diagonal spaceships (discussion thread) at the ConwayLife.com forums
- ↑ 39.0 39.1 praosylen (December 25, 2016). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 40.0 40.1 lordlouckster (July 13, 2022). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 41.0 41.1 41.2 41.3 41.4 41.5 41.6 41.7 Matthias Merzenich (May 5, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 42.0 42.1 42.2 42.3 asymmetric, odd, even and gutter lower bounds by DroneBetter using qfind
- ↑ Ivan Fomichev using gfind under OS X 10.9.5, verified by DroneBetter using rlifesrc in 8.36 hours
- ↑ 44.00 44.01 44.02 44.03 44.04 44.05 44.06 44.07 44.08 44.09 44.10 44.11 44.12 44.13 44.14 44.15 44.16 44.17 44.18 44.19 44.20 44.21 44.22 44.23 44.24 44.25 44.26 44.27 44.28 44.29 44.30 44.31 44.32 44.33 Matthias Merzenich (December 9, 2025). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 45.0 45.1 Matthias Merzenich (December 31, 2025). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 46.0 46.1 46.2 46.3 46.4 46.5 46.6 46.7 Matthias Merzenich (December 9, 2025). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (December 17, 2025). Re: LLSSS min height search results (discussion thread) at the ConwayLife.com forums
- ↑ 48.0 48.1 48.2 48.3 48.4 48.5 48.6 Checked by Matthias Merzenich using WLS.
- ↑ 49.0 49.1 49.2 49.3 49.4 Keith Amling (November 29, 2023). Re: LLSSS min height search results (discussion thread) at the ConwayLife.com forums
- ↑ 50.00 50.01 50.02 50.03 50.04 50.05 50.06 50.07 50.08 50.09 50.10 50.11 50.12 50.13 50.14 50.15 50.16 Matthias Merzenich (December 1, 2023). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 51.0 51.1 51.2 51.3 51.4 51.5 Matthias Merzenich (February 19, 2024). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (December 8, 2025). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (November 29, 2023). Re: LLSSS min height search results (discussion thread) at the ConwayLife.com forums
- ↑ 54.0 54.1 54.2 Matthias Merzenich (February 20, 2024). Re: LLSSS min height search results (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (October 31, 2025). Re: LLSSS min height search results (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (February 22, 2024). Re: LLSSS min height search results (discussion thread) at the ConwayLife.com forums
- ↑ verified by DroneBetter in 5.7 hours with rlifesrc
- ↑ 58.00 58.01 58.02 58.03 58.04 58.05 58.06 58.07 58.08 58.09 58.10 58.11 Matthias Merzenich (December 8, 2025). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (December 8, 2025). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (December 8, 2025). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (December 19, 2025). Re: LLSSS min height search results (discussion thread) at the ConwayLife.com forums
- ↑ 62.0 62.1 62.2 62.3 Matthias Merzenich (January 10, 2026). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 63.0 63.1 Matthias Merzenich (March 28, 2011). Re: New small c/6 diagonal ship. (discussion thread) at the ConwayLife.com forums
- ↑ 64.0 64.1 64.2 64.3 Matthias Merzenich (January 14, 2026). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Nick Gotts (November 28, 2018). Systematic survey of small patterns (discussion thread) at the ConwayLife.com forums
- ↑ 66.0 66.1 66.2 66.3 66.4 Keith Amling (November 14, 2023). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ 67.0 67.1 67.2 67.3 67.4 Keith Amling (November 12, 2023). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 68.0 68.1 68.2 68.3 Keith Amling (December 1, 2023). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ 69.0 69.1 Keith Amling (November 22, 2023). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ 70.0 70.1 Keith Amling (November 29, 2023). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ 71.0 71.1 Keith Amling (November 30, 2023). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ 72.0 72.1 Keith Amling (March 2, 2024). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ 73.0 73.1 Keith Amling (November 13, 2023). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ 74.0 74.1 74.2 74.3 Matthias Merzenich (October 5, 2025). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 75.0 75.1 Matthias Merzenich (October 13, 2025). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 76.0 76.1 76.2 76.3 "Life Object Counts". Mark Niemiec. Retrieved on December 9, 2023.
- ↑ 77.0 77.1 Keith Amling (February 4, 2025). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ 78.0 78.1 Keith Amling (February 5, 2025). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ 79.0 79.1 Keith Amling (February 4, 2025). Re: amling search program principles discussion / brain dump (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (November 15, 2023). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ 81.0 81.1 Keith Amling (February 1, 2024). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (April 4, 2024). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (November 1, 2025). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ 84.0 84.1 Keith Amling (April 3, 2024). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (January 15, 2024). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (November 13, 2023). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (December 6, 2023). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (May 7, 2018). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (February 6, 2025). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (December 6, 2023). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (December 6, 2023). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (December 6, 2023). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (November 28, 2023). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 94.0 94.1 Keith Amling (November 10, 2025). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (March 21, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums