Difference between revisions of "Loaf"
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{{Stilllife|name=Loaf|bx=4|by=4| | {{Stilllife | ||
'''Loaf''' is a [[:Category:Strict still lifes with 7 cells|7]]-[[cell]] [[still life]] discovered by the [[JHC group]] in [[:Category:patterns found in 1970|1970]].<ref>{{CiteHickersonOscillators|accessdate=June 18, 2009}}</ref> It | |name = Loaf | ||
|pname = loaf | |||
|c = 7 | |||
|bx = 4 | |||
|by = 4 | |||
|fc = 2.7 | |||
|discoverer = JHC group | |||
|discoveryear = 1970 | |||
|rulemin = B/S2 | |||
|rulemax = B3678/S012345678 | |||
|rulespecial = [[Conway's Game of Life|Conway Life]], [[HighLife]] | |||
|isorulemin = B/S2ckn | |||
|isorulemax = B2-ae34-j5-k678/S012345678 | |||
|synthesis = 2 | |||
|synthesisRLE = true | |||
|plaintext = true | |||
|rle = true | |||
|apgcode = xs7_2596 | |||
|pentadecathlonid = 7.4 | |||
}} | |||
'''Loaf''' is a [[:Category:Strict still lifes with 7 cells|7]]-[[cell]] [[still life]] discovered by the [[JHC group]] in [[:Category:patterns found in 1970|1970]].<ref>{{CiteHickersonOscillators|accessdate=June 18, 2009}}</ref> It can be seen as a [[weld]] of two [[beehive]]s. | |||
==[[List of common still lifes|Commonness]]== | |||
Loaf is the third most common still life in [[Achim Flammenkamp's census]], being about a third as common as [[beehive]] but only slightly more common than [[boat]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> It is also the fifth most common object on [[Adam P. Goucher]]'s [[Catagolue]]. It is the most common 7-bit still life, being more common than the [[long boat]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref> | |||
==Uses== | ==Uses== | ||
A loaf has a partial [[eater]] property: certain collisions can destroy the upper rightmost two cells (in the orientation shown in the picture), after which the remainder of the pattern will evolve into a new loaf, flipped 180°. [[Eater 3]] is an actual eater making use of this reaction. | A loaf has a partial [[eater]] property: certain collisions can destroy the upper rightmost two cells (in the orientation shown in the picture), after which the remainder of the pattern will evolve into a new loaf, flipped 180°. [[Eater 3]] is an actual eater making use of this reaction. | ||
A similar reaction to this involves a block "eating" a loaf, similarly to how the beehives in the [[queen bee shuttle]] are removed; stabilising this can be used to construct the [[Baker's dozen]]. | |||
Loaf is the stator in both [[mold]] and [[jam]], and it can be augmented with tails to give the [[Cis-loaf with tail|cis]]- and [[trans-loaf with tail]]. | |||
Loaf can be attached to itself to give four still lifes, namely [[half-bakery]], [[bi-loaf 2]], [[loaf back tie loaf]] and [[loaf siamese loaf]]. | |||
==See also== | ==See also== | ||
*[[Baker]] | *[[Baker]] | ||
*[[ | *[[Mango]] | ||
*[[Wing]] | *[[Wing]] | ||
*[[Cis-fuse with two tails]] | |||
==References== | ==References== | ||
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{{LinkWeisstein|Loaf.html}} | {{LinkWeisstein|Loaf.html}} | ||
{{LinkLexicon|lex_l.htm#loaf}} | {{LinkLexicon|lex_l.htm#loaf}} | ||
{{LinkCatagolue|xs7_2596}} | |||
[[Category: | {{LinkNiemiec|p1.htm#p1-7|patternname=The 4 seven-bit still-lifes}} | ||
{{Symmetry|diagonal2}} | |||
__NOTOC__ | |||
[[Category:Diagonal line stabilisations]] | |||
Revision as of 15:23, 27 January 2019
| Loaf | |||||||||
| View static image | |||||||||
| Pattern type | Strict still life | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 7 | ||||||||
| Bounding box | 4 × 4 | ||||||||
| Frequency class | 2.7 | ||||||||
| Discovered by | JHC group | ||||||||
| Year of discovery | 1970 | ||||||||
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Loaf is a 7-cell still life discovered by the JHC group in 1970.[1] It can be seen as a weld of two beehives.
Commonness
Loaf is the third most common still life in Achim Flammenkamp's census, being about a third as common as beehive but only slightly more common than boat.[2] It is also the fifth most common object on Adam P. Goucher's Catagolue. It is the most common 7-bit still life, being more common than the long boat.[3]
Uses
A loaf has a partial eater property: certain collisions can destroy the upper rightmost two cells (in the orientation shown in the picture), after which the remainder of the pattern will evolve into a new loaf, flipped 180°. Eater 3 is an actual eater making use of this reaction.
A similar reaction to this involves a block "eating" a loaf, similarly to how the beehives in the queen bee shuttle are removed; stabilising this can be used to construct the Baker's dozen.
Loaf is the stator in both mold and jam, and it can be augmented with tails to give the cis- and trans-loaf with tail.
Loaf can be attached to itself to give four still lifes, namely half-bakery, bi-loaf 2, loaf back tie loaf and loaf siamese loaf.
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
- Loaf at the Life Lexicon
- Loaf at Adam P. Goucher's Catagolue
- The 4 seven-bit still-lifes at Mark D. Niemiec's Life Page
Categories:
- Patterns
- Patterns with Catagolue frequency class 2
- Natural periodic objects
- Periodic objects with minimum population 7
- Patterns with 7 cells
- Patterns found by JHC group
- Patterns found in 1970
- Patterns that can be constructed with 2 gliders
- Still lifes
- Strict still lifes
- Strict still lifes with 7 cells
- Patterns with bilateral diagonal symmetry
- Diagonal line stabilisations