Difference between revisions of "Tub"
Jump to navigation
Jump to search
m |
m (Removed Life 1.05 and 1.06) |
||
| (23 intermediate revisions by 9 users not shown) | |||
| Line 1: | Line 1: | ||
{{Stilllife|name=Tub|pname=tub|c=4|bx=3|by=3|discoveryear=1970| | {{Stilllife | ||
The '''tub''' is one of only two [[:Category:Strict still lifes with 4 cells|4]]-[[cell]] [[still life]]s | |name = Tub | ||
|pname = tub | |||
|c = 4 | |||
|bx = 3 | |||
|by = 3 | |||
|fc = 5.0 | |||
|discoverer = JHC group | |||
|discoveryear = 1970 | |||
|rulemin = B/S2 | |||
|rulemax = B35678/S012345678 | |||
|rulespecial = [[Conway's Game of Life|Conway Life]], [[HighLife]] | |||
|isorulemin = B/S2c | |||
|isorulemax = B2-e34-e5678/S012345678 | |||
|synthesis = 3 | |||
|synthesisRLE = true | |||
|plaintext = true | |||
|rle = true | |||
|apgcode = xs4_252 | |||
|pentadecathlonid = 4.2 | |||
}} | |||
The '''tub''' is one of only two [[:Category:Strict still lifes with 4 cells|4]]-[[cell]] [[still life]]s (the other being the [[block]]) and was discovered by the [[JHC group]] in [[:Category:patterns found in 1970|1970]].<ref>{{CiteHickersonOscillators|accessdate=June 18, 2009}}</ref> | |||
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<sup>-1</sup> 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]]. | |||
==[[List of common still lifes|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]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> 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]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref> | |||
==See also== | ==See also== | ||
*[[Tub with tail]] | *[[Tub with tail]] | ||
| Line 11: | Line 40: | ||
==External links== | ==External links== | ||
{{LinkWeisstein|Tub.html}} | |||
{{LinkLexicon|lex_t.htm#tub}} | |||
{{LinkCatagolue|xs4_252}} | |||
{{LinkNiemiec|p1.htm#p1-4|patternname=The 2 four-bit still-lifes}} | |||
{{Symmetry|full}} | |||
[[Category:Eaters]] | |||
{{Vessel}} | |||
__NOTOC__ | |||
Revision as of 00:56, 28 January 2019
| Tub | |||||||||
| View static image | |||||||||
| Pattern type | Strict still life | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 4 | ||||||||
| Bounding box | 3 × 3 | ||||||||
| Frequency class | 5.0 | ||||||||
| Discovered by | JHC group | ||||||||
| Year of discovery | 1970 | ||||||||
| |||||||||
| |||||||||
| |||||||||
| |||||||||
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]
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 | |
|---|---|
| No corners (barges) | (^-2) • (^-1) • ^0 • ^1 • ^2 • ^3 |
| One corner (boats) | (^-2) • (^-1) • ^0 • ^1 • ^2 • ^3 |
| Two corners (ships) | (^-1) • ^0 • ^1 • ^2 • ^3 |
Categories:
- Patterns
- Patterns with Catagolue frequency class 5
- Natural periodic objects
- Periodic objects with minimum population 4
- Patterns with 4 cells
- Patterns found by JHC group
- Patterns found in 1970
- Patterns that can be constructed with 3 gliders
- Still lifes
- Strict still lifes
- Strict still lifes with 4 cells
- Patterns with complete square symmetry
- Eaters