Tub
The tub is one of only two 4-cell still lifes (the other being the block) and was discovered by the JHC group in 1970.[1]
Tub | |||
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Pattern type | Strict still life | ||
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Number of cells | 4 | ||
Bounding box | 3×3 | ||
Frequency class | 5.0 | ||
Discovered by | JHC group | ||
Year of discovery | 1970 | ||
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Adding an extra cell to one of the corners results in a boat, while adding two to opposite corners results in a ship. It can also be seen as a long-1 version of the barge.
Behaviour
Two mechanisms for a tub acting as an eater are known, though rarely applicable. An example of the former is the Eureka shuttle. The other mechanism involves the tub acting as a rock; an example is 5blink. This can be generalized to a large number of still lifes including a tub-like protrusion (e.g. boat, loaf, cis-hook with tail).
The tub is also occasionally useful as a simple induction coil for a row of 5 cells: see e.g. airforce.
Commonness
The tub is the fifth most common still life in Achim Flammenkamp's census, being about a quarter as common as the boat but only slightly more common than the pond.[2] It is also the eighth most common object (and the less frequent of the two 4-bit still lifes) on Adam P. Goucher's Catagolue.[3]
See also
References
- Dean Hickerson's oscillator stamp collection. Retrieved on June 18, 2009.
- Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
- Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
External links
- Tub at the Life Lexicon
- Tub at Adam P. Goucher's Catagolue
- The 2 four-bit still-lifes at Mark D. Niemiec's Life Page
Vessels | |
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No corners (barges) | (^-2) • (^-1) • ^0 • ^1 • ^2 • ^3 • ^4 • ^5 • ^6 • ^7 • ^8 • ^9 |
One corner (boats) | (^-2) • (^-1) • ^0 • ^1 • ^2 • ^3 • ^4 • ^5 • ^6 • ^7 • ^8 • ^9 • ^10 |
Two corners (ships) | (^-1) • ^0 • ^1 • ^2 • ^3 • ^4 • ^5 • ^6 • ^7 • ^8 • ^9 • ^10 |