A still life is siamese if its living cells can be divided in two or more partially overlapping subsets, all of which are still lifes on their own.
- The minimal number of subsets required is the rank.
- The maximal number of subsets possible is the multiplicity.
A siamese stlife is simple if the rank and multiplicity are equal.
(Restrict to 1-cell-deep connections??)
All larger vessels (and most (all?) still lifes containing them) are analyzable as siamese; a vessel of length N (starting from tub = 2) will be of multiplicity N-1. Simple examples:
- Ship: two boats
- Barge: two tubs
- Long boat: boat and tub
- Long ship: two boats
- Trans-boat with tail: boat and tub with tail
The same applies to diagonal 2+cell ties:
- Biloaf 2: two loaves and tub
Simple 2-cell orthogonal siamese stlifes:
- 10 cells: Snake siamese snake, carrier siamese snake, carrier siamese carrier
- 11 cells: Snake siamese eater, carrier siamese eater
- 12 cells: Eater siamese eater (3 isomers)
Other simple non-tie examples:
- 9 cells: Cis-boat with tail (= boat, tub with tail, and hook with tail (!))
- 11 cells: Loaf siamese loaf, elevener
- 12 cells: Big beehive (rank 4)
- 15 cells: Bee hat (= beehive and hungry hat)
x = 8, y = 6, rule = b3s23 b2o$obo2bo$obobobo$bobobobo$2bo2bobo$5b2o!
- 10 cells: Loaf siamese barge (rank 2, multiplicity 3)