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DroneBetter (talk | contribs) Add some upper bounds upon unknown widths and heights (many suboptimal and most likely outperformed by others, but searching the forums for speeds is ineffective and annoying). (Note that with nonexistence of height-7 (2,0)c/6 proven by Matthias Merzenich, the explicit example of a height-8 one provides another green entry :-) |
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== Known spaceships by width == | == Known spaceships by width == | ||
The table below gives the minimum width of the [[envelope]] for spaceships of the specified type. For types where the minimum width is known, references point to the proof of minimality rather than the discovery of the minimum-width ship. A stamp collection of minimum-width ships is given below the table. | The table below gives the minimum orthogonal width of the [[envelope]] for spaceships of the specified type. For types where the minimum width is known, references point to the proof of minimality rather than the discovery of the minimum-width ship. A stamp collection of minimum-width ships is given below the table. | ||
This table assumes horizontal symmetry and does not account for diagonal symmetry for diagonal spaceships. | This table assumes horizontal symmetry and does not account for diagonal symmetry for diagonal spaceships. | ||
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| style="background: #80ff80;" | [[70P2H1V0.1|21]] | | style="background: #80ff80;" | [[70P2H1V0.1|21]] | ||
| style="background: #80ff80;" | [[70P2H1V0.1|21]] | | style="background: #80ff80;" | [[70P2H1V0.1|21]] | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq2_y1c2h19a073370a91h2czg8c2n0v06ugy2gu60v0n2c8gz2201yg1022| | | 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;" | - | ||
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|- | |- | ||
| (1,0)c/4 | | (1,0)c/4 | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_xap1zxo276z06n6ihzwjp40a2zw3ikn0aizx11shhczcgi28mkb08zxu995222z2c2| | | style="background: #80ff80;" | {{LinkCatagolue|xq4_xap1zxo276z06n6ihzwjp40a2zw3ikn0aizx11shhczcgi28mkb08zxu995222z2c2|name=10|style=raw}} | ||
| style="background: #80ff80;" | [[Non-monotonic spaceship 1|13]] | | style="background: #80ff80;" | [[Non-monotonic spaceship 1|13]] | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_w434y0434z0om7e0mm0e7mozh1kf431134fk1hzdg122e11e221gdzxp74mm47pzx166w661| | | style="background: #80ff80;" | {{LinkCatagolue|xq4_w434y0434z0om7e0mm0e7mozh1kf431134fk1hzdg122e11e221gdzxp74mm47pzx166w661|name=16|style=raw}} | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_y0671x176zw2359cs0sc9532zw68cvhxhvc86z66br22ge0eg22rb66zy16e606e6| | | style="background: #80ff80;" | {{LinkCatagolue|xq4_y0671x176zw2359cs0sc9532zw68cvhxhvc86z66br22ge0eg22rb66zy16e606e6|name=17|style=raw}} | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
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| (2,0)c/4 | | (2,0)c/4 | ||
| style="background: #80ff80;" | [[Lightweight spaceship|5]] | | style="background: #80ff80;" | [[Lightweight spaceship|5]] | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_6frcxcrf6| | | style="background: #80ff80;" | {{LinkCatagolue|xq4_6frcxcrf6|name=11|style=raw}} | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_6rucwcur6| | | style="background: #80ff80;" | {{LinkCatagolue|xq4_6rucwcur6|name=12|style=raw}}<ref group="n" name="sep" /> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_6frcxcrf6| | | style="background: #80ff80;" | {{LinkCatagolue|xq4_6frcxcrf6|name=11|style=raw}} | ||
| style="background: #80ff80;" | [[Lightweight spaceship|5]] | | style="background: #80ff80;" | [[Lightweight spaceship|5]] | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq4_6frcx6frc| | | style="background: #80ff80;" | {{LinkCatagolue|xq4_6frcx6frc|name=12|style=raw}}<ref group="n" name="sep" /> | ||
|- | |- | ||
| (1,0)c/5 | | (1,0)c/5 | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_w4bn0n96zwo4k4sq0ozy010b29k1zwg4m0hdd5z02ac2c85896zw8pihmdzpkti8p9gzwh90v8z01121i664ozy01siszw25ci2zxgg1fuczw7uqf010n3zwghiik22zhp0d0d0phzwa8gs2zg8g66mh04m2z066w13w2| | | style="background: #80ff80;" | {{LinkCatagolue|xq5_w4bn0n96zwo4k4sq0ozy010b29k1zwg4m0hdd5z02ac2c85896zw8pihmdzpkti8p9gzwh90v8z01121i664ozy01siszw25ci2zxgg1fuczw7uqf010n3zwghiik22zhp0d0d0phzwa8gs2zg8g66mh04m2z066w13w2|name=11|style=raw}} | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_wm2kci1u0u1ick2mzw33274i101i47233zw2dc1v0v0v0v1cd2zxg8a3gv0vg3a8gz6978fgr3x3rgf8796zy21137311| | | style="background: #80ff80;" | {{LinkCatagolue|xq5_wm2kci1u0u1ick2mzw33274i101i47233zw2dc1v0v0v0v1cd2zxg8a3gv0vg3a8gz6978fgr3x3rgf8796zy21137311|name=19|style=raw}} | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_0gowe019910ewogz0o8g4797ee7974g8oz0uify6fiuzx7uarewerau7z6eghhd0hcch0dhhge6zwc1m4o2442o4m1czy1uhb44bhuz0ca1gly2lg1acz015054m6uu6m45051zy134011043| | | style="background: #80ff80;" | {{LinkCatagolue|xq5_0gowe019910ewogz0o8g4797ee7974g8oz0uify6fiuzx7uarewerau7z6eghhd0hcch0dhhge6zwc1m4o2442o4m1czy1uhb44bhuz0ca1gly2lg1acz015054m6uu6m45051zy134011043|name=18|style=raw}} | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_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| | | style="background: #80ff80;" | {{LinkCatagolue|xq5_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|name=19|style=raw}} | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
|- | |- | ||
| (1,1)c/5 | | (1,1)c/5 | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_cih1h0czhrpw1035z7ui0h1go04k8z012xp6oc2zy39ng| | | style="background: #80ff80;" | {{LinkCatagolue|xq5_cih1h0czhrpw1035z7ui0h1go04k8z012xp6oc2zy39ng|name=13|style=raw}}<ref name="coe1"/> | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| Line 66: | Line 66: | ||
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| (2,0)c/5 | | (2,0)c/5 | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq5_rhlmggz3gggoar7zxpdm57zwmk8izw1ghe2zwmdb| | | style="background: #80ff80;" | {{LinkCatagolue|xq5_rhlmggz3gggoar7zxpdm57zwmk8izw1ghe2zwmdb|name=10|style=raw}} | ||
| style="background: #80ff80;" | [[44P5H2V0|15]] | | style="background: #80ff80;" | [[44P5H2V0|15]] | ||
| style="background: #80ff80;" | [[70P5H2V0|18]] | | style="background: #80ff80;" | [[70P5H2V0|18]] | ||
| Line 82: | Line 82: | ||
|- | |- | ||
| (1,1)c/6 | | (1,1)c/6 | ||
| style="background: #ffa0a0;" | 10 | | style="background: #ffa0a0;" | 10 < w ≤ [[Seal|35]] | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| Line 90: | Line 90: | ||
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| (2,0)c/6 | | (2,0)c/6 | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq6_0keh2y088y08c04kc0o88bb84ny1s40g0mi0cc8zehkggk691wdca331w66701ddaw378f2w121zx13| | | style="background: #80ff80;" | {{LinkCatagolue|xq6_0keh2y088y08c04kc0o88bb84ny1s40g0mi0cc8zehkggk691wdca331w66701ddaw378f2w121zx13|name=12|style=raw}}<ref name="MM4"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq6_y0g81v0v18gzwso4k7ece7k4oszy1l3i4i3lzx2q9fxf9q2zg738c04o0o40c837gz22cc1hgf0fgh1cc22zy24aia4| | | style="background: #80ff80;" | {{LinkCatagolue|xq6_y0g81v0v18gzwso4k7ece7k4oszy1l3i4i3lzx2q9fxf9q2zg738c04o0o40c837gz22cc1hgf0fgh1cc22zy24aia4|name=17|style=raw}}<ref name="MM2"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq6_x42jgbffbgj24zy0gideccedigzy02w4oo4w2zxe6oi1111io6ezy0djoppppojdz4a22ckf0880fkc22a4zy03y43| | | style="background: #80ff80;" | {{LinkCatagolue|xq6_x42jgbffbgj24zy0gideccedigzy02w4oo4w2zxe6oi1111io6ezy0djoppppojdz4a22ckf0880fkc22a4zy03y43|name=18|style=raw}}<ref name="MM2"/><ref name="coe5">{{LinkForumThread|format=ref|p=29960|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=April 13, 2016}}</ref> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq6_8ci02j3ac604a02a83g4350go0ook222o0gwggz7b99aa8cab88cab888bc8b894cy21226d8406ac8b5zedp95l135d1135d111t31d1pi3gggxo4k6bhi06531daz13404cc5360250451c02caw101124441| | | style="background: #80ff80;" | {{LinkCatagolue|xq6_8ci02j3ac604a02a83g4350go0ook222o0gwggz7b99aa8cab88cab888bc8b894cy21226d8406ac8b5zedp95l135d1135d111t31d1pi3gggxo4k6bhi06531daz13404cc5360250451c02caw101124441|name=19|style=raw}}<ref name="MM2"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq6_wgoihe4wgwkccy2o0gg66io1g3ccza58sc2a2klk2mvs13m90l3223x2kklkkk30s2k8zx395ph02411noq312023d174gg5c060oo3w1zy0121yf1110203| | | style="background: #80ff80;" | {{LinkCatagolue|xq6_wgoihe4wgwkccy2o0gg66io1g3ccza58sc2a2klk2mvs13m90l3223x2kklkkk30s2k8zx395ph02411noq312023d174gg5c060oo3w1zy0121yf1110203|name=17|style=raw}} | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq6_w4a2a8jj8a2a4zy0j4ijji4jzx3313rr3133z08460mussum0648zxdj8gggg8jdzee8c0k666mk0sgeezw301y2221| | | style="background: #80ff80;" | {{LinkCatagolue|xq6_w4a2a8jj8a2a4zy0j4ijji4jzx3313rr3133z08460mussum0648zxdj8gggg8jdzee8c0k666mk0sgeezw301y2221|name=18|style=raw}}<ref name="coe5" /> | ||
|- | |- | ||
| (2,1)c/6 | | (2,1)c/6 | ||
| style="background: #ffa0a0;" | 15<ref name="coe1">{{LinkForumThread|format=ref|p=25972|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Tim Coe|date=December 18, 2015}}</ref> | | style="background: #ffa0a0;" | 15 < w ≤ [[Sir Robin|31]]<ref name="coe1">{{LinkForumThread|format=ref|p=25972|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Tim Coe|date=December 18, 2015}}</ref> | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
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| Line 106: | Line 106: | ||
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| (3,0)c/6 | | (3,0)c/6 | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq6_y161cz8ogg3u1p4goe2z0338fho1fg44zy127cog9114k0u0ou2zaig0g8xp0i30vk32zw1278994302631| | | style="background: #80ff80;" | {{LinkCatagolue|xq6_y161cz8ogg3u1p4goe2z0338fho1fg44zy127cog9114k0u0ou2zaig0g8xp0i30vk32zw1278994302631|name=21|style=raw}}<ref name="amling-3c/6-w20-asym"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq6_y18waj0jaw8zw2qg1ng62026gn1gq2z2cagn21y312ngac2zgg03l4w88088w4l30ggz076gv0r6of0fo6r0vg67zy15fogo0ogof5zy41x1| | | style="background: #80ff80;" | {{LinkCatagolue|xq6_y18waj0jaw8zw2qg1ng62026gn1gq2z2cagn21y312ngac2zgg03l4w88088w4l30ggz076gv0r6of0fo6r0vg67zy15fogo0ogof5zy41x1|name=21|style=raw}} | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq6_y2ogm6e3z8suj23aqaa98gzo605y01345024ozgrodwgokmhl821z013626qaa2kzy43336| | | style="background: #80ff80;" | {{LinkCatagolue|xq6_y2ogm6e3z8suj23aqaa98gzo605y01345024ozgrodwgokmhl821z013626qaa2kzy43336|name=28|style=raw}} | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq6_y18waj0jaw8zw2qg1ng62026gn1gq2z2cagn21y312ngac2zgg03l4w88088w4l30ggz076gv0r6of0fo6r0vg67zy15fogo0ogof5zy41x1| | | style="background: #80ff80;" | {{LinkCatagolue|xq6_y18waj0jaw8zw2qg1ng62026gn1gq2z2cagn21y312ngac2zgg03l4w88088w4l30ggz076gv0r6of0fo6r0vg67zy15fogo0ogof5zy41x1|name=21|style=raw}} | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| Line 116: | Line 116: | ||
| 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;" | [[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"/> | | style="background: #80ff80;" | [[339P7H1V0|19]]<ref name="MM1"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq7_26871wn3y03nw17862zy12596y06952| | | 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| | | style="background: #80ff80;" | {{LinkCatagolue|xq7_26871wn3x3nw17862zy12596x6952|name=21|style=raw}}<ref name="coe8"/><ref name="MM1"/><ref group="n" name="sep" /> | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
|- | |- | ||
| (1,1)c/7 | | (1,1)c/7 | ||
| style="background: #ffa0a0;" | 9 | | style="background: #ffa0a0;" | 9 < w ≤ [[Lobster|27]] | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| Line 133: | Line 133: | ||
| style="background: #80ff80;" | [[Scholar|23]]<ref name="MM2"/> | | style="background: #80ff80;" | [[Scholar|23]]<ref name="MM2"/> | ||
| style="background: #80ff80;" | [[Weekender|18]] | | style="background: #80ff80;" | [[Weekender|18]] | ||
| style="background: #ffa0a0;" | 23<ref name="MM6"/> | | style="background: #ffa0a0;" | 23 < w ≤ {{LinkCatagolue|xq7_y1o0ab6gggxggg6ba0ozxstk15l4lhdxdhl4l51ktszy2o860oioxoio068ozoke0738a42j0430340j24a8370ekoz0108oox37dexed73xoo801z0jb995sogy7gos599bjz122212a0gl2y32lg0a212221zy3tv2c8gxg8c2vtzy3k0cv3y13vc0kzy3380102s0s201083zy3h1210670760121hzy2hd5y75dh|name=31|style=raw}}<ref name="MM6"/> | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
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| style="background: #80ff80;" | [[Spaghetti monster|29]]<ref name="pt1">Checked by Paul Tooke with gfind</ref> | | style="background: #80ff80;" | [[Spaghetti monster|29]]<ref name="pt1">Checked by Paul Tooke with gfind</ref> | ||
| style="background: #ffa0a0;" | 28<ref name="coe6"/> | | style="background: #ffa0a0;" | 28<ref name="coe6"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq7_y1o0ab6gggxggg6ba0ozxstk15l4lhdxdhl4l51ktszy2o860oioxoio068ozoke0738a42j0430340j24a8370ekoz0108oox37dexed73xoo801z0jb995sogy7gos599bjz122212a0gl2y32lg0a212221zy3tv2c8gxg8c2vtzy3k0cv3y13vc0kzy3380102s0s201083zy3h1210670760121hzy2hd5y75dh| | | style="background: #80ff80;" | {{LinkCatagolue|xq7_y1o0ab6gggxggg6ba0ozxstk15l4lhdxdhl4l51ktszy2o860oioxoio068ozoke0738a42j0430340j24a8370ekoz0108oox37dexed73xoo801z0jb995sogy7gos599bjz122212a0gl2y32lg0a212221zy3tv2c8gxg8c2vtzy3k0cv3y13vc0kzy3380102s0s201083zy3h1210670760121hzy2hd5y75dh|name=31|style=raw}}<ref name="coe6"/><ref name="chen-3c/7-w31gutter"/> | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
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|- | |- | ||
| (1,1)c/8 | | (1,1)c/8 | ||
| style="background: #ffa0a0;" | 7 | | style="background: #ffa0a0;" | 7 < w ≤ [[Walrus|21]] | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| Line 171: | Line 171: | ||
| (2,0)c/8 | | (2,0)c/8 | ||
| style="background: #ffa0a0;" | 9<ref name="MM2"/> | | style="background: #ffa0a0;" | 9<ref name="MM2"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq8_1263hoc6coh3621zxo60l2l06ozwvw2o0o2wvz0o0rjpxpjr0ozcfhi3108013ihfczxduik9kiud| | | style="background: #80ff80;" | {{LinkCatagolue|xq8_1263hoc6coh3621zxo60l2l06ozwvw2o0o2wvz0o0rjpxpjr0ozcfhi3108013ihfczxduik9kiud|name=15|style=raw}}<ref name="MM2"/><ref name="coe7">{{LinkForumThread|format=ref|p=30299|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=April 21, 2016}}</ref> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq8_671y8176z111uu0o4w4o0uu111z8g8334mi66im4338g8z01xshraarhsx1zy22ahha2zy2cqbbqczy2ip88piz0djk7w1221w7kjdzwd11464w46411dz5dod5y45dod5zops108k8w8k801spoz01084173oo3714801zy0hphy0hph| | | style="background: #80ff80;" | {{LinkCatagolue|xq8_671y8176z111uu0o4w4o0uu111z8g8334mi66im4338g8z01xshraarhsx1zy22ahha2zy2cqbbqczy2ip88piz0djk7w1221w7kjdzwd11464w46411dz5dod5y45dod5zops108k8w8k801spoz01084173oo3714801zy0hphy0hph|name=18|style=raw}}<ref name="MM2"/><ref name="coe7"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq8_o0r54kc606ck45r0ozx8d5gg0gg5d8zwg0gm11011mg0gz0gre539e0e935ergz3o539k4x4k935o3zw249c1v0v1c942zy1so707oszy0gq2x2qgzw4o22oxo22o4zwoog57x75goozgo888h5o0o5h888ogzx33hph0hph33| | | style="background: #80ff80;" | {{LinkCatagolue|xq8_o0r54kc606ck45r0ozx8d5gg0gg5d8zwg0gm11011mg0gz0gre539e0e935ergz3o539k4x4k935o3zw249c1v0v1c942zy1so707oszy0gq2x2qgzw4o22oxo22o4zwoog57x75goozgo888h5o0o5h888ogzx33hph0hph33|name=17|style=raw}}<ref name="MM2"/><ref name="coe7"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq8_xk3k0k3kzwe0698960ez0bt08o8o80tbzxhs505shzw855o0o558z06746bsb6476zxoo464soz0258bn1061zwgwfc010gzor1304cgg6d43z01w302| | | style="background: #80ff80;" | {{LinkCatagolue|xq8_xk3k0k3kzwe0698960ez0bt08o8o80tbzxhs505shzw855o0o558z06746bsb6476zxoo464soz0258bn1061zwgwfc010gzor1304cgg6d43z01w302|name=13|style=raw}} | ||
| style="background: #ffa0a0;" | 14 | | style="background: #ffa0a0;" | 14 | ||
|- | |- | ||
| Line 186: | Line 186: | ||
|- | |- | ||
| (2,2)c/8 | | (2,2)c/8 | ||
| style="background: #ffa0a0;" | 8 | | style="background: #ffa0a0;" | 8 < w ≤ {{LinkCatagolue|xq8_y07189i4gy0rht0gwoo0c4zbh1cgy12646766433w11zw1020msy2o88gze28aehnfy190igl408gzxopp1y8241zw62|name=28|style=raw}} | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| style="background: #c0c0c0;" | - | | style="background: #c0c0c0;" | - | ||
| Line 210: | Line 210: | ||
|- | |- | ||
| (4,0)c/8 | | (4,0)c/8 | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq8_e9885e88wgs046gy34eb766cg22aazsigg83cd47307q0ne3qsma4e68mmuw177w33244zym11| | | style="background: #80ff80;" | {{LinkCatagolue|xq8_e9885e88wgs046gy34eb766cg22aazsigg83cd47307q0ne3qsma4e68mmuw177w33244zym11|name=12|style=raw}}<ref name="MM2"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq8_go8ggc2ghhioc4s1116agooz0hrawr4weeaxhhaaxhz13211681hh93647gggca133| | | style="background: #80ff80;" | {{LinkCatagolue|xq8_go8ggc2ghhioc4s1116agooz0hrawr4weeaxhhaaxhz13211681hh93647gggca133|name=17|style=raw}}<ref name="MM2"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq8_v112oy2o211vz01wo1a44a1ow1zwo6k5t44t5k6oz0d1c32i33i23c1dzy0g895598gzx258owo852| | | style="background: #80ff80;" | {{LinkCatagolue|xq8_v112oy2o211vz01wo1a44a1ow1zwo6k5t44t5k6oz0d1c32i33i23c1dzy0g895598gzx258owo852|name=20|style=raw}}<ref name="MM2"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq8_x6996y16996zy0337pe0ep733zmgg118bio0oib811ggmz2fgmhihu202uhihmgf2zx36m1gxg1m63zxsv046101640vszwighc2y12chgizw78jnmio0oimnj87z0o40ho6ec0ce6oh04ozw12a421x124a21zks4g9k1fd0df1k9g4skz112cg22ue0eu22gc211zy06f1mc0cm1f6zy0988po0op889zxg8c2qf0fq2c8gz258pdd1y11ddp852zwe8950oxo0598ezy08um6x6mu8zy034461016443| | | style="background: #80ff80;" | {{LinkCatagolue|xq8_x6996y16996zy0337pe0ep733zmgg118bio0oib811ggmz2fgmhihu202uhihmgf2zx36m1gxg1m63zxsv046101640vszwighc2y12chgizw78jnmio0oimnj87z0o40ho6ec0ce6oh04ozw12a421x124a21zks4g9k1fd0df1k9g4skz112cg22ue0eu22gc211zy06f1mc0cm1f6zy0988po0op889zxg8c2qf0fq2c8gz258pdd1y11ddp852zwe8950oxo0598ezy08um6x6mu8zy034461016443|name=19|style=raw}}<ref name="MM2"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq8_wgu113484311ugz0cdp1x2x1pdcz344240o444o042443zx3nqi212iqn3z0su944im3mi449uszy1ehh9d18azwg442mkg02hhqzwbg8531y032cz0oo0go8636cwq7z0132x420111| | | style="background: #80ff80;" | {{LinkCatagolue|xq8_wgu113484311ugz0cdp1x2x1pdcz344240o444o042443zx3nqi212iqn3z0su944im3mi449uszy1ehh9d18azwg442mkg02hhqzwbg8531y032cz0oo0go8636cwq7z0132x420111|name=17|style=raw}} | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq8_0sur6y66ruszw11w1rcsscr1w11zxo421i5w5i124oz0u1uur2y22ruu1uz24852y625842z251888g0oooo0g888152z8f7k4m641w146m4k7f8zy058heowoeh85z0oo2703sox474ba8zw22| | | style="background: #80ff80;" | {{LinkCatagolue|xq8_0sur6y66ruszw11w1rcsscr1w11zxo421i5w5i124oz0u1uur2y22ruu1uz24852y625842z251888g0oooo0g888152z8f7k4m641w146m4k7f8zy058heowoeh85z0oo2703sox474ba8zw22|name=20|style=raw}}<ref name="MM2"/> | ||
|- | |- | ||
| (1,0)c/9 | | (1,0)c/9 | ||
| Line 299: | Line 299: | ||
| (2,0)c/10 | | (2,0)c/10 | ||
| style="background: #ffa0a0;" | 6 | | style="background: #ffa0a0;" | 6 | ||
| style="background: #ffa0a0;" | 11 | | style="background: #ffa0a0;" | 11 < w ≤ [[160P10H2V0|19]] | ||
| style="background: #ffa0a0;" | 12 | | style="background: #ffa0a0;" | 12 | ||
| style="background: #ffa0a0;" | 13 | | style="background: #ffa0a0;" | 13 | ||
| Line 347: | Line 347: | ||
| (4,0)c/10 | | (4,0)c/10 | ||
| style="background: #ffa0a0;" | 10<ref name="MM4"/> | | style="background: #ffa0a0;" | 10<ref name="MM4"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq10_o4c4onrqoh8y1g8c8k4088y1gzha0ay4err0l4rhwrh0haelh4vz34643trb3h2y1126254022y11| | | style="background: #80ff80;" | {{LinkCatagolue|xq10_o4c4onrqoh8y1g8c8k4088y1gzha0ay4err0l4rhwrh0haelh4vz34643trb3h2y1126254022y11|name=15|style=raw}}<ref name="MM2"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq10_eaiebb8c82gkwo4rfgt4w6696zx11303hoj1ed1w411zxggo0oh3pgemgw4ggzea9eqq262815w34ru1n4wccic| | | style="background: #80ff80;" | {{LinkCatagolue|xq10_eaiebb8c82gkwo4rfgt4w6696zx11303hoj1ed1w411zxggo0oh3pgemgw4ggzea9eqq262815w34ru1n4wccic|name=22|style=raw}}<ref name="MM5"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq10_wgwfhj4o0o4jhfwgzbvo33w1iv0vi1w33ovbzy162q2h0h2q26zy31b303b1zy33470743| | | style="background: #80ff80;" | {{LinkCatagolue|xq10_wgwfhj4o0o4jhfwgzbvo33w1iv0vi1w33ovbzy162q2h0h2q26zy31b303b1zy33470743|name=21|style=raw}}<ref name="MM2"/> | ||
| style="background: #80ff80;" | {{LinkCatagolue|xq10_ggcmhe404ehmcggz8pjmy3mjp8zy0p81s1ohzx8nnw745| | | style="background: #80ff80;" | {{LinkCatagolue|xq10_ggcmhe404ehmcggz8pjmy3mjp8zy0p81s1ohzx8nnw745|name=15|style=raw}}<ref name="coe3">{{LinkForumThread|format=ref|p=27167|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Tim Coe|date=February 1, 2016}}</ref> | ||
| style="background: #ffa0a0;" | 16<ref name="coe3"/> | | style="background: #ffa0a0;" | 16<ref name="coe3"/> | ||
|- | |- | ||
| Line 459: | Line 459: | ||
| (2,0)c/12 | | (2,0)c/12 | ||
| style="background: #ffffa0;" | ? | | style="background: #ffffa0;" | ? | ||
| style="background: #ffffa0;" | | | style="background: #ffffa0;" | w ≤ {{LinkCatagolue|xq12_yj13922y022931zymo7q99q7ozyggg0nj611tuut116jn0ggzyi1y0gc44cgy01z03m0m3y03m0m3y8223322y93m0m3y03m0m3zw3gn3aaaa3ng3y7o035w530oy83gn3aaaa3ng3zwu97y279uy812222221y9u97y279uz22qggy2ggq220248oe2yb2eo842022qggy2ggq22zxq03q22q30qy526csssssssssssc62y5q03q22q30qzxdidy0didybe2i2eybdidy0didzyk8g40cscsc04g8zyjg0omb86068bmo0gzyj1247y37421zyk4ao9f9o9f9oa4zykg8kg0o5o0gk8gzyk12jg12121gj21zyj11cn4mo0om4nc11zyjgo0g61x16g0ogzyhegcd16b6g0g6b61dcgezyhc4g122e0a0a0e221g4czyh124epni2h0h2inpe421zyjg8mti47074itm8gzyg8u125g11gg0gg11g521u8zyj1h9o8pp0pp8o9h1zyj12t60uu0uu06t21zymora202arozyi80a191vg0gv191a08zyh18d6oy5o6d81zyk1gp4y14pg1zyhgg07g24gxg42g70ggzyh1210121y11210121|name=63|style=raw}} | ||
| style="background: #ffffa0;" | ? | | style="background: #ffffa0;" | ? | ||
| style="background: #ffffa0;" | ? | | style="background: #ffffa0;" | ? | ||
| Line 480: | Line 480: | ||
|- | |- | ||
| (1,0)c/2 | | (1,0)c/2 | ||
| style="background: #80ff80;" | 8 | | style="background: #80ff80;" | [[64P2H1V0|8]] | ||
|- | |- | ||
| (1,0)c/3 | | (1,0)c/3 | ||
| style="background: #80ff80;" | 5 | | style="background: #80ff80;" | [[25P3H1V0.1|5]] | ||
|- | |- | ||
| (1,0)c/4 | | (1,0)c/4 | ||
| style="background: #80ff80;" | 8 | | style="background: #80ff80;" | {{LinkCatagolue|xq4_02k4772z31h28oz560ao31z2ud62zhhd0gozy11|name=8|style=raw}} | ||
|- | |- | ||
| (2,0)c/4 | | (2,0)c/4 | ||
| style="background: #80ff80;" | 6 | | style="background: #80ff80;" | [[Lightweight spaceship|6]] | ||
|- | |- | ||
| (1,0)c/5 | | (1,0)c/5 | ||
| style="background: #80ff80;" | 8 | | style="background: #80ff80;" | [[Spider|8]] | ||
|- | |- | ||
| (2,0)c/5 | | (2,0)c/5 | ||
| style="background: #80ff80;" | 11 | | style="background: #80ff80;" | [[34P5H2V0|11]] | ||
|- | |- | ||
| (1,0)c/6 | | (1,0)c/6 | ||
| style="background: #ffa0a0;" | 9 | | style="background: #ffa0a0;" | 9 < h ≤ [[56P6H1V0|12]] | ||
|- | |- | ||
| (2,0)c/6 | | (2,0)c/6 | ||
| style="background: # | | style="background: #80ff80;" | {{LinkCatagolue|xq6_8k64a213530ckk0c2m4swq3qws484c4swq3qws4m2c0kkc035312a46k8zyc1x71x17y371x17x1|name=8|style=raw}}<!--nonexistence of height 7 given by Matthias Merzenich (Sokwe) in https://conwaylife.com/w/index.php?title=LifeWiki:Spaceship_Search_Status_Page&oldid=21495, would be nice to get a citation--><ref name="ball-2c/6-h8"/> | ||
|- | |- | ||
| (3,0)c/6 | | (3,0)c/6 | ||
| style="background: #ffa0a0;" | 9 | | style="background: #ffa0a0;" | 9 < h ≤ [[86P6H3V0|11]] | ||
|- | |- | ||
| (1,0)c/7 | | (1,0)c/7 | ||
| style="background: #ffa0a0;" | 8 | | style="background: #ffa0a0;" | 8 < h ≤ [[Loafer|10]]<!--not sure whether it is counting minimum or maximum height, we have h=10 if the former -DB--> | ||
|- | |- | ||
| (2,0)c/7 | | (2,0)c/7 | ||
| style="background: #ffa0a0;" | 8 | | style="background: #ffa0a0;" | 8 < h ≤ [[Weekender|12]] | ||
|- | |- | ||
| (3,0)c/7 | | (3,0)c/7 | ||
| style="background: #ffa0a0;" | 7 | | style="background: #ffa0a0;" | 7 < h ≤ [[Soba|40]] | ||
|} | |} | ||
| Line 612: | Line 612: | ||
|author = Keith Amling | |author = Keith Amling | ||
|date = January 18, 2023 | |date = January 18, 2023 | ||
}}</ref> | |||
<ref name="chen-3c/7-w31gutter">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Spaceship Discussion Thread | |||
|p = 118727 | |||
|author = Dylan Chen | |||
|date = January 10, 2021 | |||
}}</ref> | |||
<ref name="ball-2c/6-h8">{{LinkForumThread | |||
|format = ref | |||
|title = Some new spaceships. | |||
|p = 349 | |||
|author = Josh Ball | |||
|date = March 7, 2010 | |||
}}</ref> | }}</ref> | ||
</references> | </references> | ||
Revision as of 01:05, 16 October 2023
Known spaceships by width
The table below gives the minimum orthogonal width of the envelope for spaceships of the specified type. For types where the minimum width is known, references point to the proof of minimality rather than the discovery of the minimum-width ship. A stamp collection of minimum-width ships is given below the table.
This table assumes horizontal symmetry and does not account for diagonal symmetry for diagonal spaceships.
| 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 | - | - | - | - | - |
| (2,0)c/4 | 5 | 11 | 12[n 1] | 11 | 5 | 12[n 1] |
| (1,0)c/5 | 11 | 19 | 18 | 19 | - | - |
| (1,1)c/5 | 13[1] | - | - | - | - | - |
| (2,0)c/5 | 10 | 15 | 18 | 15 | - | - |
| (1,0)c/6 | 12[2] | 19 | 18 | 21 | - | - |
| (1,1)c/6 | 10 < w ≤ 35 | - | - | - | - | - |
| (2,0)c/6 | 12[3] | 17[4] | 18[4][5] | 19[4] | 17 | 18[5] |
| (2,1)c/6 | 15 < w ≤ 31[1] | - | - | - | - | - |
| (3,0)c/6 | 21[6] | 21 | 28 | 21 | - | - |
| (1,0)c/7 | 10[7][8] | 19[8] | 22[9][n 1] | 21[7][8][n 1] | - | - |
| (1,1)c/7 | 9 < w ≤ 27 | - | - | - | - | - |
| (2,0)c/7 | 11[10][11] | 23[4] | 18 | 23 < w ≤ 31[11] | - | - |
| (2,1)c/7 | 11[12] | - | - | - | - | - |
| (3,0)c/7 | 14[13] | 29[14] | 28[13] | 31[13][15] | - | - |
| (1,0)c/8 | 10[16] | 19[17] | 20[18] | 21[16] | - | - |
| (1,1)c/8 | 7 < w ≤ 21 | - | - | - | - | - |
| (2,0)c/8 | 9[4] | 15[4][19] | 18[4][19] | 17[4][19] | 13 | 14 |
| (2,1)c/8 | 8 | - | - | - | - | - |
| (2,2)c/8 | 8 < w ≤ 28 | - | - | - | - | - |
| (3,0)c/8 | 11[12] | 21[12] | 22[20] | 23[12] | - | - |
| (3,1)c/8 | 12[12] | - | - | - | - | - |
| (4,0)c/8 | 12[4] | 17[4] | 20[4] | 19[4] | 17 | 20[4] |
| (1,0)c/9 | 8[21] | 15[21] | 16[21] | 15[22] | - | - |
| (1,1)c/9 | 6 | - | - | - | - | - |
| (2,0)c/9 | 8[23] | 15[24] | 16[22] | 17[23] | - | - |
| (2,1)c/9 | 7 | - | - | - | - | - |
| (2,2)c/9 | 7 | - | - | - | - | - |
| (3,0)c/9 | 11[25] | 17[4] | 16[3] | 17[4] | - | - |
| (3,1)c/9 | 8 | - | - | - | - | - |
| (4,0)c/9 | 11[13] | 21[13] | 22[26] | 23[13] | - | - |
| (1,0)c/10 | 6[27] | 11[27] | 10 | 13[27] | - | - |
| (1,1)c/10 | 7 | - | - | - | - | - |
| (2,0)c/10 | 6 | 11 < w ≤ 19 | 12 | 13 | 13[26] | 14[26] |
| (2,1)c/10 | 6 | - | - | - | - | - |
| (2,2)c/10 | 6 | - | - | - | - | - |
| (3,0)c/10 | 9[28] | 17[29] | 18[28] | 17[30] | - | - |
| (3,1)c/10 | 7 | - | - | - | - | - |
| (3,2)c/10 | 8 | - | - | - | - | - |
| (4,0)c/10 | 10[3] | 15[4] | 22[31] | 21[4] | 15[32] | 16[32] |
| (4,1)c/10 | 8 | - | - | - | - | - |
| (5,0)c/10 | 11[3] | 19[4] | 22[3] | 19[4] | - | - |
| (1,0)c/11 | 6[33] | 11[34] | 12[34] | 11[33] | - | - |
| (1,1)c/11 | ? | - | - | - | - | - |
| (2,0)c/11 | 6[27] | 11[27] | 12[27] | 13[27] | - | - |
| (2,1)c/11 | ? | - | - | - | - | - |
| (2,2)c/11 | ? | - | - | - | - | - |
| (3,0)c/11 | 6 | 11 | 12 | 13 | - | - |
| (3,1)c/11 | ? | - | - | - | - | - |
| (3,2)c/11 | ? | - | - | - | - | - |
| (4,0)c/11 | 9[35] | 17[35] | 18[35] | 19[35] | - | - |
| (4,1)c/11 | ? | - | - | - | - | - |
| (5,0)c/11 | 10[35] | 19[35] | 20[35] | 21[35] | - | - |
| (2,0)c/12 | ? | w ≤ 63 | ? | ? | 9[36] | ? |
| Spaceships by width (click above to open LifeViewer) RLE: here Plaintext: here |
Known spaceships by height
| Velocity | minimum height |
|---|---|
| (1,0)c/2 | 8 |
| (1,0)c/3 | 5 |
| (1,0)c/4 | 8 |
| (2,0)c/4 | 6 |
| (1,0)c/5 | 8 |
| (2,0)c/5 | 11 |
| (1,0)c/6 | 9 < h ≤ 12 |
| (2,0)c/6 | 8[37] |
| (3,0)c/6 | 9 < h ≤ 11 |
| (1,0)c/7 | 8 < h ≤ 10 |
| (2,0)c/7 | 8 < h ≤ 12 |
| (3,0)c/7 | 7 < h ≤ 40 |
All results checked by Matthias Merzenich using WLS.
| Spaceships by height (click above to open LifeViewer) RLE: here Plaintext: here |
See also
Notes
References
- ↑ 1.0 1.1 Tim Coe (December 18, 2015). Re: 3c/7 othogonal and 2c/9 diagonal spaceships (discussion thread) at the ConwayLife.com forums
- ↑ praosylen (May 13, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 3.0 3.1 3.2 3.3 3.4 Matthias Merzenich (April 14, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 4.00 4.01 4.02 4.03 4.04 4.05 4.06 4.07 4.08 4.09 4.10 4.11 4.12 4.13 4.14 4.15 4.16 4.17 4.18 Matthias Merzenich (March 17, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 5.0 5.1 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
- ↑ 7.0 7.1 Tim Coe (June 11, 2016). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 8.0 8.1 8.2 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
- ↑ Tomas Rokicki (March 1, 2018). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 11.0 11.1 Matthias Merzenich (April 26, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 12.0 12.1 12.2 12.3 12.4 Checked with knight2.c
- ↑ 13.0 13.1 13.2 13.3 13.4 13.5 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
- ↑ 16.0 16.1 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
- ↑ 19.0 19.1 19.2 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
- ↑ 21.0 21.1 21.2 AforAmpere (November 5, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 22.0 22.1 praosylen (December 27, 2016). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 23.0 23.1 praosylen (December 28, 2016). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ praosylen (December 25, 2016). 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
- ↑ 26.0 26.1 26.2 Tim Coe (March 1, 2016). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 27.0 27.1 27.2 27.3 27.4 27.5 27.6 praosylen (January 5, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 28.0 28.1 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
- ↑ AforAmpere (November 5, 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
- ↑ 32.0 32.1 Tim Coe (February 1, 2016). Re: 3c/7 othogonal and 2c/9 diagonal spaceships (discussion thread) at the ConwayLife.com forums
- ↑ 33.0 33.1 praosylen (December 25, 2016). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 34.0 34.1 lordlouckster (July 13, 2022). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 35.0 35.1 35.2 35.3 35.4 35.5 35.6 35.7 Matthias Merzenich (May 5, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Ivan Fomichev using gfind under OS X 10.9.5
- ↑ Josh Ball (March 7, 2010). Some new spaceships. (discussion thread) at the ConwayLife.com forums