Standard spaceship flotilla

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A standard spaceship flotilla is a spaceship flotilla composed entirely of orthogonal standard spaceships (the lightweight spaceship, middleweight spaceship and heavyweight spaceship), and in some cases, overweight spaceships.

Strict spaceship flotillae

Two standard spaceships

39 different non-trivial flotillae can be built from two standard spaceships:

LWSS MWSS HWSS
LWSS 0
MWSS 3 5
HWSS 7 15 9

Note that the naming scheme currently used for two-spaceship flotillae also includes pseudo-spaceships (see section), and as such they introduce gaps in true flotilla nomenclature.

Spaceship Population Commonness apgcode Cost in gliders
Across all spaceships Across flotillae
Lwssonmwss1.png LWSS on MWSS 1 20 7th 3rd xq4_27de6z4eb776 7
Lwssonmwss2.png LWSS on MWSS 2 23 8th 4th xq4_0791h1az8smec 6
Lwssonmwss3.png LWSS on MWSS 3 23 10th 6th xq4_27du6ze98885 7
Lwssonhwss1.png LWSS on HWSS 1 20 9th 5th xq4_27de6z4eb7776 7
Lwssonhwss2.png LWSS on HWSS 2 20 13th 9th xq4_6ed72z6777be4 7
Lwssonhwss3.png LWSS on HWSS 3 22 14th 10th xq4_27de6zw8smeeec 6
Lwssonhwss4.png LWSS on HWSS 4 22 19th 15th xq4_027deee6z8smec 6
Lwssonhwss5.png LWSS on HWSS 5 22 15th 11th xq4_27de6z8smeeec 7
Lwssonhwss6.png LWSS on HWSS 6 22 21st 17th xq4_06eeed72zcems8 7
Lwssonhwss7.png LWSS on HWSS 7 25 12th 8th xq4_27dumze988885 7
Mwssonmwss1.png MWSS on MWSS 1 20 5th 1st xq4_27dee6z4eb776 5
Mwssonmwss2.png MWSS on MWSS 2 20 17th 13th xq4_27dee6zw4eb776 7
Mwssonmwss3.png MWSS on MWSS 3 24 18th 14th xq4_677be4zx48889e 7
Mwssonmwss4.png MWSS on MWSS 4 26 11th 7th xq4_06eed72zaghgis 7
Mwssonmwss5.png MWSS on MWSS 5 26 16th 12th xq4_27due6ze98885 7
Mwssonhwss1.png MWSS on HWSS 1 22 xq4_27dee6zw4eb7776 7
Mwssonhwss2.png MWSS on HWSS 2 22 20th 16th xq4_27dee6z4eb7776 7
Mwssonhwss3.png MWSS on HWSS 3 22 xq4_06eeed72z677be4 7
Mwssonhwss4.png MWSS on HWSS 4 24 xq4_27dee6zx8smeeec 7
Mwssonhwss5.png MWSS on HWSS 5 24 xq4_0sighhgazz791h1a 7
Mwssonhwss6.png MWSS on HWSS 6 24 23rd 19th xq4_sighgazz791hh1a 7
Mwssonhwss7.png MWSS on HWSS 7 24 xq4_aghgiszza1hh197 7
Mwssonhwss8.png MWSS on HWSS 8 24 xq4_0aghhgiszza1h197 7
Mwssonhwss9.png MWSS on HWSS 9 25 xq4_02111197zcssqe4 7
Mwssonhwss10.png MWSS on HWSS 10 27 22nd 18th xq4_6eeed72zaghgis 7
Mwssonhwss11.png MWSS on HWSS 11 28 xq4_27duee6ze98885 7
Mwssonhwss12.png MWSS on HWSS 12 28 xq4_0791hh1az8smeec 7
Mwssonhwss13.png MWSS on HWSS 13 28 xq4_27duu6ze988885 7
Mwssonhwss14.png MWSS on HWSS 14 28 xq4_6eed72zaghhgis 7
Mwssonhwss15.png MWSS on HWSS 15 28 xq4_06eeed72zaghgis 7
Hwssonhwss1.png HWSS on HWSS 1 22 6th 2nd xq4_27deee6z4eb7776 7
Hwssonhwss2.png HWSS on HWSS 2 22 xq4_27deee6zw4eb7776 7
Hwssonhwss4.png HWSS on HWSS 4 26 xq4_0aghhgiszza1hh197 6
Hwssonhwss5.png HWSS on HWSS 5 26 xq4_aghhgiszzwa1hh197 7
Hwssonhwss6.png HWSS on HWSS 6 29 xq4_027deee6zsighhga 7
Hwssonhwss7.png HWSS on HWSS 7 29 xq4_27duue6ze988885 7
Hwssonhwss8.png HWSS on HWSS 8 29 xq4_06eeed72zaghhgis 7
Hwssonhwss9.png HWSS on HWSS 9 30 xq4_a1hh197zx6777be4 7
Hwssonhwss10.png HWSS on HWSS 10 31 xq4_27deee6zwsighhga 7

Three standard spaceships

The following number of three-standard-spaceship combinations have been listed by Mark Niemiec:[1]

[table] on [y] on [x]
LWSS MWSS HWSS
LWSS MWSS HWSS LWSS MWSS HWSS LWSS MWSS HWSS
LWSS 1 LWSS 3 6 LWSS 8 24 36
MWSS 6 MWSS 27 45 MWSS 45 135 120
HWSS 36 HWSS 120 120 HWSS 18 270 171

However, there does not appear to be a full list of the actual spaceships anywhere as of February 2022. In addition no distinction is made between true spaceships and pseudo-spaceships. It is assumed that the following list encompasses all pseudo-spaceships, and as such these values can be subtracted from the above totals to yield the actual number of spaceships, however this is yet to be verified:

  • 1 containing three LWSS
  • 2 containing two LWSS and one HWSS (one with the HWSS on the outside, the other with it in the middle)
  • 2 containing one LWSS and two HWSS (one with the LWSS on the outside, the other with it in the middle)
  • 1 containing three HWSS

It is likely that every "MWSS on LWSS on LWSS" and "HWSS on LWSS on LWSS" is also inherently redundant.

LWSS-on-MWSS-on-LWSS variants

Spaceship Cells apgcode Synth.
cost
1 Lwssonmwssonlwss1.png 29 xq4_fh1ig211vxfh1izy1101 11
2 - 32 xq4_6ruc0sur6w8i1hfzy211 10
3 - 34 xq4_fh1i8w6rusxfh1izy411 9
4 - 32 xq4_06ed72z677be4z9hgis 11
5 - 34 xq4_s20i4wonvewuhg9z111y11 10
6 - 34 xq4_9ghuwevno038ghuzy41 11

LWSS-on-HWSS-on-LWSS variants

Spaceship Cells apgcode Synth.
cost
1 Lwssonhwssonlwss1.png 29 xq4_6ruc0sur6x6ruczy1133 11
2 Lwssonhwssonlwss2.png 29 xq4_gcso0uvfgxcrf6z131x131 11
3 Lwssonhwssonlwss3.png 29 xq4_6frcxgfvu06frczy3131 11
4 Lwssonhwssonlwss4.png 29 xq4_gocoxocogwcur6z133y1ff7 10
5 Lwssonhwssonlwss5.png 29 xq4_0ggxuvfgxcrf6z6d73x131 10
6 Lwssonhwssonlwss6.png 31 xq4_6rucwgocoy06ruczy27ffx2 9
7 Lwssonhwssonlwss7.png 29 xq4_osmcxcmsowcur6z011y1773 10
8 Lwssonhwssonlwss8.png 29 xq4_0oogwuvfgxcrf6z3631x131 10
9 Lwssonhwssonlwss9.png 31 xq4_07911azwsighhgazggggz34w5 9
10 Lwssonhwssonlwss10.png 31 xq4_6rucwosmcy06ruczy2377x3 9
11 Lwssonhwssonlwss11.png 29 xq4_6rucwsur6x6ruczy2133 11
12 Lwssonhwssonlwss12.png 29 xq4_gcsowuvfgxcrf6z131y0131 11
13 Lwssonhwssonlwss13.png 31 xq4_gocoy0ocogwcur6z133w6xff7 10
14 Lwssonhwssonlwss14.png 31 xq4_07911az0sighhgazggggz34w5 10
15 Lwssonhwssonlwss15.png 31 xq4_7911azsighhgazggggz34w5 11
16 Lwssonhwssonlwss16.png 29 xq4_gogxsur6x6rucz1673w133 11
17 Lwssonhwssonlwss17.png 29 xq4_cumoy0uusw6frczw1y03631 11
18 Lwssonhwssonlwss18.png 31 xq4_6frc0cxuuszy43631w6frc 10
19 Lwssonhwssonlwss19.png 31 xq4_0ggxsuuxc0crf6z6d73w1363 10
20 Lwssonhwssonlwss20.png 31 xq4_x7911azsighhgazggggz34w5 11
21 Lwssonhwssonlwss21.png 31 xq4_6frc0cxuusw6frczy43631 11
22 - 32 xq4_0791hiz4eqssscz8smec 11
23 - 32 xq4_0ih197zcsssqe4zcems8 11
24 - 34 xq4_o88gwocogwcur6z34w6wff7 10
25 - 34 xq4_s448wcmsowcur6z12w3w773 10
26 - 34 xq4_6ruco211vy0fh1izy12021 11
27 - 34 xq4_o4wcwuusw6frcz3221w3631 11
28 - 37 xq4_6ruco211vx6ruczy12021 11

LWSS-on-MWSS-on-MWSS variants

Spaceship Cells apgcode Synth.
cost
1 Lwssonmwssonmwss1.png 29 xq4_sur6x6rus0cur6z011y111 9
2 Lwssonmwssonmwss2.png 29 xq4_gocox6rus0cur6z377y111 11
3 Lwssonmwssonmwss3.png 29 xq4_4eb776zw8skooozwgodtpzx11 11
4 - 33 xq4_7911qze98885zx4eb776 11
5 - 35 xq4_06ed72z677be4zx48889e 11
6 - 35 xq4_4eb776zo4w2kzhhhh1z34w5 11
7 - 35 xq4_7911haz8skooozgodtpz011 11
8 - 35 xq4_0791h1az4eqsscz8smec 11
9 - 35 xq4_06eed72zk222iez0bggis 11
10 - 32 xq4_6rus0sur6w8i1hfz011x11 9
11 - 32 xq4_gocox6rusxfh1iz377y111 11
12 - 32 xq4_s20i4wonve0ossz111y11x1363 11
13 - 35 xq4_evnox8gzw1w488fy0crf6 11
14 - 33 xq4_g8xonvexs20izf884w1y1111 11
15 - 35 xq4_0sighgaz0ggz136773zei22k 11
16 - 35 xq4_27de6z0sighgaz0ggz136773 11
17 - 35 xq4_u224g06rusxfh1iz1202x11 11
18 - 35 xq4_v1128sur6w8i1hfz0101w11 11
19 - 32 xq4_6eed72z677be4z9hgis 9
20 - 32 xq4_0791hiz4eqssczw8smeec 11
21 - 32 xq4_ih197zcssqe4zwceems8 11
22 - 35 xq4_27du6ze98885zx4eb776 11
23 - 33 xq4_g8xonvewuhg9zf884w1 11
24 - 35 xq4_27du6ze98885zgocssoz011 11
25 - 35 xq4_u10h2wonvewuhg9z111y11 11
26 - 35 xq4_6rus8211vx6rucz011w101 11
27 - 35 xq4_a1h197z677be4z9hgis 11

LWSS-on-HWSS-on-HWSS variants

Spaceship Cells apgcode Synth.
cost
1 Lwssonhwssonhwss1.png 31 xq4_6rus0sur6x6rucz03310133 10
2 Lwssonhwssonhwss2.png 31 xq4_gocox6rus0cur6z7ffy1331 11
3 Lwssonhwssonhwss3.png 31 xq4_0sso0uvfgxgcsoz6d73w131x131 11
4 - 33 xq4_0sighhgazz791111aze9885 10
5 - 33 xq4_0aghhgiszza111197zw5889e 10
6 - 33 xq4_ocogxsur6x6rucz0ff7x133 11
7 - 33 xq4_sighhgazzw791111azwe9885 11
8 - 38 xq4_s448x6rus0cur6z7808y0331 11
9 - 38 xq4_sighhgazwggz013mn773z027533 11
10 - 38 xq4_0791111az4eqssscz8smec 11
11 - 38 xq4_06eeed72zk2222iezwaggis 11
12 - 38 xq4_6rusxv1120i1hfz0331x1202 11
13 - 38 xq4_v112x6rus0cur6z1202y0331 11
14 - 38 xq4_7911aze988885zw8smeeec 11
15 - 38 xq4_08i111197zcsssqe4zwcems8 11
16 - 38 xq4_cmsoxv1120i1hfz0773x1202 11
17 - 38 xq4_791h11qz08skooooz0godtp1zw11 11
18 Lwssonhwssonhwss18.png xq4_gfvu0uvfgxcrf6z131x131 10
19 Lwssonhwssonhwss19.png xq4_6eeed72zw6777be4zwooks8zx11 11
20 Lwssonhwssonhwss20.png xq4_0sso0uvfgxcrf6z6d73w131 11
21 - xq4_ ?
22 - xq4_ ?
23 - xq4_ ?
24 - xq4_ ?
25 - xq4_ ?
26 - xq4_ ?
27 - xq4_ ?
28 - xq4_ ?
29 - xq4_ ?
30 - xq4_ ?
31 - xq4_ ?
32 - xq4_ ?
33 - xq4_ ?
34 - xq4_ ?
35 - xq4_ ?
36 - xq4_ ?
37 - xq4_ ?
38 - xq4_ ?
39 - xq4_ ?
40 - xq4_ ?
41 - xq4_ ?
42 - xq4_ ?
43 - xq4_ ?
44 - xq4_ ?
45 - xq4_ ?
46 - xq4_ ?
47 - xq4_ ?
48 - xq4_ ?
49 - xq4_ ?
50 - xq4_ ?
51 - xq4_ ?

... 119

Two standard spaceships, one overweight spaceship

The following number of two-standard-spaceship-and-one-overweight-spaceship combinations have been listed by Mark Niemiec:[1]

nWSS = OWSS with side length n in less dense phase
7WSS 8WSS 9WSS 10WSS
LWSS MWSS HWSS LWSS MWSS HWSS LWSS MWSS HWSS LWSS MWSS HWSS
LWSS 6 LWSS 6 LWSS 6 LWSS 3
MWSS 24 36 MWSS 21 28 MWSS 21 28 MWSS 10 15
HWSS 27 72 45 HWSS 27 63 45 HWSS 21 49 28 HWSS 14 35 28
11WSS 12WSS 13WSS 14WSS
LWSS MWSS HWSS LWSS MWSS HWSS LWSS MWSS HWSS LWSS MWSS HWSS
LWSS 1 LWSS 1 LWSS 0 LWSS 0
MWSS 3 6 MWSS 1 1 MWSS 0 1 MWSS 0 0
HWSS 5 15 15 HWSS 3 3 6 HWSS 0 1 1 HWSS 0 0 1

Pseudo-spaceships

Pseudo-spaceships can be defined similarly to pseudo still lifes, in that while the spaceship as a whole can be partitioned into multiple non-interacting spaceships which evolve no differently, there exist dead cells which are forbidden from birth due to overpopulation which would otherwise be forbidden due to underpopulation. Due to the lack of any true interaction, little to no attention is paid to pseudo-spaceships.

There are three possible pseudo-spaceships which can be made from two standard spaceships, with cells which cannot be born due to overpopulation marked in red:

Spaceship Constituents apgcode
1 2
Lwssonlwss.png LWSS on LWSS LWSS LWSS xq4_6frcxcrf6
Lwssonhwss8.png LWSS on HWSS 8 LWSS HWSS xq4_gfvuxuhg9z131
Hwssonhwss3.png HWSS on HWSS 3 HWSS HWSS xq4_aghhgiszza1hh197

References