Standard spaceship flotilla
| This article may require cleanup to meet LifeWiki's quality standards. Some of the tables go offscreen on certain devices. |
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.
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 |
Spaceship | Cells | apgcode | Synth. cost | |||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 29 | xq4_fh1ig211vxfh1izy1101 | 11 | 4 | 32 | xq4_06ed72z677be4z9hgis | 11 | |||
| 2 | 32 | xq4_6ruc0sur6w8i1hfzy211 | 10 | 5 | 34 | xq4_s20i4wonvewuhg9z111y11 | 10 | |||
| 3 | 34 | xq4_fh1i8w6rusxfh1izy411 | 9 | 6 | 34 | xq4_9ghuwevno038ghuzy41 | 11 | |||
LWSS-on-HWSS-on-LWSS variants
LWSS-on-MWSS-on-MWSS variants
LWSS-on-HWSS-on-HWSS variants
LWSS-on-MWSS-on-HWSS variants
Two standard spaceships, one overweight spaceship
There are 92 ways in which a standard spaceship can support an overweight spaceship on one side, giving 780 total two-standard-spaceship-and-one-overweight-spaceship combinations.[2] The number of each type is given in the table below.
| 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 | 3 | LWSS | 3 | |||||||||||
| MWSS | 24 | 36 | MWSS | 21 | 28 | MWSS | 16 | 36 | MWSS | 12 | 21 | |||||||
| HWSS | 27 | 72 | 45 | HWSS | 27 | 63 | 45 | HWSS | 14 | 56 | 28 | HWSS | 16 | 48 | 36 | |||
| 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 | 4 | 10 | MWSS | 1 | 1 | MWSS | 0 | 1 | MWSS | 0 | 0 | |||||||
| HWSS | 6 | 24 | 21 | HWSS | 4 | 4 | 10 | 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
- ↑ https://conwaylife.com/ref/mniemiec/flotilla.htm
- ↑ Matthias Merzenich (July 14, 2025). OWSS synthesis project (discussion thread) at the ConwayLife.com forums