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| style="background: #80ff80;" | [[409P6H1V0|12]]<ref>{{ | | style="background: #80ff80;" | [[409P6H1V0|12]]<ref>{{LinkForumThread|format=ref|p=43495|title=Re: Spaceship Discussion Thread|author=praosylen|date=May 13, 2017}}</ref> | ||
| style="background: #80ff80;" | [[600P6H1V0|19]] | | style="background: #80ff80;" | [[600P6H1V0|19]] | ||
| style="background: #80ff80;" | [[Dragon|18]] | | style="background: #80ff80;" | [[Dragon|18]] | ||
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| style="background: #80ff80;" | 18<ref name="MM2"/><ref name="coe5">{{ | | style="background: #80ff80;" | 18<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;" | 19<ref name="MM2"/> | | style="background: #80ff80;" | 19<ref name="MM2"/> | ||
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| style="background: #ffa0a0;" | 15<ref name="coe1">{{ | | 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> | ||
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| style="background: #80ff80;" | [[Loafer|10]]<ref name="coe8">{{ | | 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;" | 19<ref name="MM1"/> | | style="background: #80ff80;" | 19<ref name="MM1"/> | ||
| style="background: #80ff80;" | 22<ref>{{ | | style="background: #80ff80;" | 22<ref>{{LinkForumThread|format=ref|p=44351|title=Re: Spaceship Discussion Thread|author=Matthias Merzenich|date=June 14, 2017}}</ref> | ||
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| style="background: #ffa0a0;" | 11<ref>{{ | | style="background: #ffa0a0;" | 11<ref>{{LinkForumThread|format=ref|p=57129|title=Re: Spaceship Discussion Thread|author=Tomas Rokicki|date=March 1, 2018}}</ref><ref name="MM6"/> | ||
| style="background: #80ff80;" | [[Scholar|23]]<ref name="MM2"/> | | style="background: #80ff80;" | [[Scholar|23]]<ref name="MM2"/> | ||
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| style="background: #ffa0a0;" | 14<ref name="coe6">{{ | | style="background: #ffa0a0;" | 14<ref name="coe6">{{LinkForumThread|format=ref|p=30124|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=April 17, 2016}}</ref> | ||
| 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> | ||
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| style="background: #ffa0a0;" | 18<ref>{{ | | style="background: #ffa0a0;" | 18<ref>{{LinkForumThread|format=ref|p=41857|title=Re: Spaceship Discussion Thread|author=Arie Paap|date=March 19, 2017}}</ref> | ||
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| style="background: #80ff80;" | 15<ref name="MM2"/><ref name="coe7">{{ | | style="background: #80ff80;" | 15<ref name="MM2"/><ref name="coe7">{{LinkForumThread|format=ref|p=30299|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=April 21, 2016}}</ref> | ||
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| style="background: #ffa0a0;" | 8<ref name="AforAmpere1">{{ | | style="background: #ffa0a0;" | 8<ref name="AforAmpere1">{{LinkForumThread|format=ref|p=52707|title=Re: Spaceship Discussion Thread|author=AforAmpere|date=November 5, 2017}}</ref> | ||
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| style="background: #ffa0a0;" | 8<ref name="praosylen4">{{ | | style="background: #ffa0a0;" | 8<ref name="praosylen4">{{LinkForumThread|format=ref|p=38767|title=Re: Spaceship Discussion Thread|author=praosylen|date=December 28, 2016}}</ref> | ||
| style="background: #ffa0a0;" | 15<ref name="praosylen2">{{ | | style="background: #ffa0a0;" | 15<ref name="praosylen2">{{LinkForumThread|format=ref|p=38682|title=Re: Spaceship Discussion Thread|author=praosylen|date=December 25, 2016}}</ref> | ||
| style="background: #ffa0a0;" | 16<ref name="praosylen3">{{ | | style="background: #ffa0a0;" | 16<ref name="praosylen3">{{LinkForumThread|format=ref|p=38728|title=Re: Spaceship Discussion Thread|author=praosylen|date=December 27, 2016}}</ref> | ||
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| style="background: #ffa0a0;" | 22<ref name="coe4">{{ | | style="background: #ffa0a0;" | 22<ref name="coe4">{{LinkForumThread|format=ref|p=28770|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=March 1, 2016}}</ref> | ||
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| style="background: #ffa0a0;" | 6<ref name="praosylen5">{{ | | style="background: #ffa0a0;" | 6<ref name="praosylen5">{{LinkForumThread|format=ref|p=39024|title=Re: Spaceship Discussion Thread|author=praosylen|date=January 5, 2017}}</ref> | ||
| style="background: #ffa0a0;" | 11<ref name="praosylen5"/> | | style="background: #ffa0a0;" | 11<ref name="praosylen5"/> | ||
| style="background: #80ff80;" | [[Copperhead|10]] | | style="background: #80ff80;" | [[Copperhead|10]] | ||
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| style="background: #ffa0a0;" | 17<ref>{{ | | style="background: #ffa0a0;" | 17<ref>{{LinkForumThread|format=ref|p=53546|title=Re: Spaceship Discussion Thread|author=AforAmpere|date=December 10, 2017}}</ref> | ||
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| style="background: #ffa0a0;" | 17<ref>{{ | | style="background: #ffa0a0;" | 17<ref>{{LinkForumThread|format=ref|p=51306|title=Re: Spaceship Discussion Thread|author=AforAmpere|date=November 5, 2017}}</ref> | ||
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| style="background: #80ff80;" | 15<ref name="coe3">{{ | | style="background: #80ff80;" | 15<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> | ||
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| style="background: #ffa0a0;" | 6<ref name="praosylen1">{{ | | style="background: #ffa0a0;" | 6<ref name="praosylen1">{{LinkForumThread|format=ref|p=38671|title=Re: Spaceship Discussion Thread|author=praosylen|date=December 25, 2016}}</ref> | ||
| style="background: #ffa0a0;" | 11<ref name="lordlouckster1">{{LinkForumThread|format = ref|title = Re: Spaceship Discussion Thread|p = 148225|author = lordlouckster|date = July 13, 2022}}</ref> | | style="background: #ffa0a0;" | 11<ref name="lordlouckster1">{{LinkForumThread|format = ref|title = Re: Spaceship Discussion Thread|p = 148225|author = lordlouckster|date = July 13, 2022}}</ref> | ||
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{{EmbedViewer | {{EmbedViewer | ||
|pname = | |pname = knownspaceshipsbywidth | ||
|position = center | |position = center | ||
|caption = Spaceships by width | |caption = Spaceships by width | ||
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{{EmbedViewer | {{EmbedViewer | ||
|pname = | |pname = knownspaceshipsbyheight | ||
|viewerconfig = #C [[ WIDTH 800 HEIGHT 600 ]] | |viewerconfig = #C [[ WIDTH 800 HEIGHT 600 ]] | ||
|position = center | |position = center | ||
Revision as of 11:45, 4 August 2022
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.
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 | 11 | 5 | 12 |
| (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 | - | - | - | - | - |
| (2,0)c/6 | 12[3] | 17[4] | 18[4][5] | 19[4] | 17 | 18[5] |
| (2,1)c/6 | 15[1] | - | - | - | - | - |
| (3,0)c/6 | 18[6] | 21 | 28 | 21 | - | - |
| (1,0)c/7 | 10[7][8] | 19[8] | 22[9] | 21[7][8] | - | - |
| (1,1)c/7 | 9 | - | - | - | - | - |
| (2,0)c/7 | 11[10][11] | 23[4] | 18 | 23[11] | - | - |
| (2,1)c/7 | 11[12] | - | - | - | - | - |
| (3,0)c/7 | 14[13] | 29[14] | 28[13] | 31[13] | - | - |
| (1,0)c/8 | 10[15] | 19[16] | 18[17] | 21[15] | - | - |
| (1,1)c/8 | 7 | - | - | - | - | - |
| (2,0)c/8 | 9[4] | 15[4][18] | 18[4][18] | 17[4][18] | 13 | 14 |
| (2,1)c/8 | 8 | - | - | - | - | - |
| (2,2)c/8 | 8 | - | - | - | - | - |
| (3,0)c/8 | 11[12] | 21[12] | 22[19] | 23[12] | - | - |
| (3,1)c/8 | 12[12] | - | - | - | - | - |
| (4,0)c/8 | 11[4] | 17[4] | 20[4] | 19[4] | 17 | 20[4] |
| (1,0)c/9 | 8[20] | 15[20] | 16[20] | 15[21] | - | - |
| (1,1)c/9 | 6 | - | - | - | - | - |
| (2,0)c/9 | 8[22] | 15[23] | 16[21] | 17[22] | - | - |
| (2,1)c/9 | 7 | - | - | - | - | - |
| (2,2)c/9 | 7 | - | - | - | - | - |
| (3,0)c/9 | 11[24] | 17[4] | 16[3] | 17[4] | - | - |
| (3,1)c/9 | 8 | - | - | - | - | - |
| (4,0)c/9 | 11[13] | 21[13] | 22[25] | 23[13] | - | - |
| (1,0)c/10 | 6[26] | 11[26] | 10 | 13[26] | - | - |
| (1,1)c/10 | 7 | - | - | - | - | - |
| (2,0)c/10 | 6 | 11 | 12 | 13 | 13[25] | 14[25] |
| (2,1)c/10 | 6 | - | - | - | - | - |
| (2,2)c/10 | 6 | - | - | - | - | - |
| (3,0)c/10 | 9[27] | 17[28] | 18[27] | 17[29] | - | - |
| (3,1)c/10 | 7 | - | - | - | - | - |
| (3,2)c/10 | 8 | - | - | - | - | - |
| (4,0)c/10 | 10[3] | 15[4] | 22[30] | 21[4] | 15[31] | 16[31] |
| (4,1)c/10 | 8 | - | - | - | - | - |
| (5,0)c/10 | 11[3] | 19[4] | 22[3] | 19[4] | - | - |
| (1,0)c/11 | 6[32] | 11[33] | 12[33] | 11[32] | - | - |
| (1,1)c/11 | ? | - | - | - | - | - |
| (2,0)c/11 | 6[26] | 11[26] | 12[26] | 13[26] | - | - |
| (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[34] | 17[34] | 18[34] | 19[34] | - | - |
| (4,1)c/11 | ? | - | - | - | - | - |
| (5,0)c/11 | 10[34] | 19[34] | 20[34] | 21[34] | - | - |
| (2,0)c/12 | ? | ? | ? | ? | 9[35] | ? |
| 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 |
| (2,0)c/6 | 7 |
| (3,0)c/6 | 9 |
| (1,0)c/7 | 8 |
| (2,0)c/7 | 8 |
| (3,0)c/7 | 7 |
All results checked by Matthias Merzenich using WLS.
| Spaceships by height (click above to open LifeViewer) RLE: here Plaintext: here |
See also
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
- ↑ Tim Coe (January 30, 2016). Re: 3c/7 othogonal and 2c/9 diagonal spaceships (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
- ↑ 15.0 15.1 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
- ↑ Arie Paap (March 19, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 18.0 18.1 18.2 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
- ↑ 20.0 20.1 20.2 AforAmpere (November 5, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 21.0 21.1 praosylen (December 27, 2016). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 22.0 22.1 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
- ↑ 25.0 25.1 25.2 Tim Coe (March 1, 2016). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 26.0 26.1 26.2 26.3 26.4 26.5 26.6 praosylen (January 5, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 27.0 27.1 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
- ↑ 31.0 31.1 Tim Coe (February 1, 2016). Re: 3c/7 othogonal and 2c/9 diagonal spaceships (discussion thread) at the ConwayLife.com forums
- ↑ 32.0 32.1 praosylen (December 25, 2016). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 33.0 33.1 lordlouckster (July 13, 2022). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 34.0 34.1 34.2 34.3 34.4 34.5 34.6 34.7 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