# Standard spaceship flotilla

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 | Commonnesss | apgcode | Cost in gliders | ||
---|---|---|---|---|---|---|

Across all spaceships | Across flotillae | |||||

LWSS on MWSS 1 | 20 | 7th | 3rd | xq4_27de6z4eb776 | 7 | |

LWSS on MWSS 2 | 23 | 8th | 4th | xq4_0791h1az8smec | 6 | |

LWSS on MWSS 3 | 23 | 10th | 6th | xq4_27du6ze98885 | 7 | |

LWSS on HWSS 1 | 20 | 9th | 5th | xq4_27de6z4eb7776 | 7 | |

LWSS on HWSS 2 | 20 | 13th | 9th | xq4_6ed72z6777be4 | 7 | |

LWSS on HWSS 3 | 22 | 14th | 10th | xq4_27de6zw8smeeec | 7 | |

LWSS on HWSS 4 | 22 | 19th | 15th | xq4_027deee6z8smec | 6 | |

LWSS on HWSS 5 | 22 | 15th | 11th | xq4_27de6z8smeeec | 7 | |

LWSS on HWSS 6 | 22 | 21st | 17th | xq4_06eeed72zcems8 | 7 | |

LWSS on HWSS 7 | 25 | 12th | 8th | xq4_27dumze988885 | 7 | |

MWSS on MWSS 1 | 20 | 5th | 1st | xq4_27dee6z4eb776 | 5 | |

MWSS on MWSS 2 | 20 | 17th | 13th | xq4_27dee6zw4eb776 | 7 | |

MWSS on MWSS 3 | 24 | 18th | 14th | xq4_677be4zx48889e | 7 | |

MWSS on MWSS 4 | 26 | 11th | 7th | xq4_06eed72zaghgis | 7 | |

MWSS on MWSS 5 | 26 | 16th | 12th | xq4_27due6ze98885 | 7 | |

MWSS on HWSS 1 | 22 | xq4_27dee6zw4eb7776 | 7 | |||

MWSS on HWSS 2 | 22 | 20th | 16th | xq4_27dee6z4eb7776 | 7 | |

MWSS on HWSS 3 | 22 | xq4_06eeed72z677be4 | 7 | |||

MWSS on HWSS 4 | 24 | xq4_27dee6zx8smeeec | 7 | |||

MWSS on HWSS 5 | 24 | xq4_0sighhgazz791h1a | 7 | |||

MWSS on HWSS 6 | 24 | 23rd | 19th | xq4_sighgazz791hh1a | 7 | |

MWSS on HWSS 7 | 24 | xq4_aghgiszza1hh197 | 7 | |||

MWSS on HWSS 8 | 24 | xq4_0aghhgiszza1h197 | 7 | |||

MWSS on HWSS 9 | 25 | xq4_02111197zcssqe4 | 7 | |||

MWSS on HWSS 10 | 27 | 22nd | 18th | xq4_6eeed72zaghgis | 7 | |

MWSS on HWSS 11 | 28 | xq4_27duee6ze98885 | 7 | |||

MWSS on HWSS 12 | 28 | xq4_0791hh1az8smeec | 7 | |||

MWSS on HWSS 13 | 28 | xq4_27duu6ze988885 | 7 | |||

MWSS on HWSS 14 | 28 | xq4_6eed72zaghhgis | 7 | |||

MWSS on HWSS 15 | 28 | xq4_06eeed72zaghgis | 7 | |||

HWSS on HWSS 1 | 22 | 6th | 2nd | xq4_27deee6z4eb7776 | 7 | |

HWSS on HWSS 2 | 22 | xq4_27deee6zw4eb7776 | 7 | |||

HWSS on HWSS 4 | 26 | xq4_0aghhgiszza1hh197 | 6 | |||

HWSS on HWSS 5 | 26 | xq4_aghhgiszzwa1hh197 | 7 | |||

HWSS on HWSS 6 | 29 | xq4_027deee6zsighhga | 7 | |||

HWSS on HWSS 7 | 29 | xq4_27duue6ze988885 | 7 | |||

HWSS on HWSS 8 | 29 | xq4_06eeed72zaghhgis | 7 | |||

HWSS on HWSS 9 | 30 | xq4_a1hh197zx6777be4 | 7 | |||

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

### 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 | |||

LWSS on LWSS | LWSS | LWSS | xq4_6frcxcrf6 | |

LWSS on HWSS 8 | LWSS | HWSS | xq4_gfvuxuhg9z131 | |

HWSS on HWSS 3 | HWSS | HWSS | xq4_aghhgiszza1hh197 |

## References

- ↑
^{1.0}^{1.1}https://conwaylife.com/ref/mniemiec/flotilla.htm