Difference between revisions of "Half-bakery"

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{{Stilllife|name=Bi-loaf 1|bx=7|by=7|pname=biloaf1|c=14|life105=true|life106=true|plaintext=true|rle=true|synthesis=3|synthesisRLE=true|rulemin=B/S23|rulemax=B3678/S012345678|rulespecial=[[Conway's Game of Life|Conway Life]]}}
{{Stilllife
'''Bi-loaf 1''' (or '''half bakery''' or '''loaf on loaf''') is a [[still life]] that makes up half of a [[bakery]] (and is made up of two [[loaf|loaves]]). When the term bi-loaf is used, this [[pattern]] is its most common meaning. It is the eleventh most common still life, being less common than [[barge]] but more common than [[mango]].<ref>{{cite web|url=http://wwwhomes.uni-bielefeld.de/achim/freq_top_life.html |title=Most seen natural occurring ash objects in Game of Life |author=Achim Flammenkamp |date=September 7, 2004 |accessdate=June 6, 2013}}</ref>
|name             = Half-bakery
|pname           = halfbakery
|c               = 14
|bx              = 7
|by              = 7
|fc              = 9.2
|rulemin         = B/S23
|rulemax         = B3678/S012345678
|rulespecial     = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|isorulemin      = B/S2ckn3cy
|isorulemax      = B2-ae34-ejw5-k678/S012345678
|synthesis        = 3
|synthesisRLE    = true
|plaintext        = true
|rle              = true
|apgcode          = xs14_g88m952z121
|niemiecid        = 14.30
|pentadecathlonid = 14.533
}}
'''Half-bakery''' is a [[still life]] that is made up of two [[loaf|loaves]] (and makes up half of a [[bakery]]). When the term [[bi-loaf]] is used, this [[pattern]] is its most common meaning.


There is a remarkable reaction where a [[glider]] collides with the bi-loaf, displacing it by (3,6) and generating another glider in the same direction as the incident glider. Apart from the degenerate case of the [[stable reflector]], which has zero displacement, this is probably the only such reaction smaller than a [[universal constructor]].
There is a remarkable [[reaction]] where a [[glider]] collides with the bi-loaf, displacing it by (3,6) and generating another glider in the same direction as the incident glider. The only other known reactions of this type involve [[stable reflector]]s, which have a displacement of (0,0), alongside a constellation of three [[block]]s. This displacement reaction has enabled the construction of [[half-baked knightship]]s:


==See also==
{{EmbedViewer
*[[Half-baked knightship]]
|viewerconfig = #C [[ AUTOSTART GPS 60 X -15 Y 15 TRACKLOOP 290 -3/290 -6/290 THUMBSIZE 2 ZOOM 10 HEIGHT 480 ]]
*[[Bi-loaf 2]]
|pname        = hbkreaction
*[[Bi-loaf 3]]
|position    = center
}}
 
It can also act as a [[One-time reflector|one-time glider reflector]] in various other collisions.
 
==[[List of common still lifes|Commonness]]==
Half-bakery is the eleventh most common still life in [[Achim Flammenkamp's census]], being less common than [[barge]] but more common than [[mango]].<ref>{{citeAchim|accessdate=June 6, 2013}}</ref> It is also the fifteenth most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref>


==References==
==References==
Line 13: Line 38:


==External links==
==External links==
*[http://www.argentum.freeserve.co.uk/lex_b.htm#biloaf Bi-loaf] at the Life Lexicon
{{LinkLexicon|lex_b.htm#biloaf|name=Bi-loaf}}
[[Category:Patterns with diagonal bilateral symmetry]]
{{LinkCatagolue|xs14_g88m952z121|patternname=Half-bakery}}
{{LinkNiemiec|p1-14.htm|patternname=The 619 fourteen-bit still-lifes}}
 
{{Symmetry|diagonal2}}
__NOTOC__

Revision as of 04:37, 27 January 2019

Half-bakery
x = 7, y = 7, rule = B3/S23 5bo$4bobo$3bo2bo$2bob2o$bobo$o2bo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]]
Pattern type Strict still life
Number of cells 14
Bounding box 7 × 7
Frequency class 9.2
Discovered by Unknown
Year of discovery Unknown

Half-bakery is a still life that is made up of two loaves (and makes up half of a bakery). When the term bi-loaf is used, this pattern is its most common meaning.

There is a remarkable reaction where a glider collides with the bi-loaf, displacing it by (3,6) and generating another glider in the same direction as the incident glider. The only other known reactions of this type involve stable reflectors, which have a displacement of (0,0), alongside a constellation of three blocks. This displacement reaction has enabled the construction of half-baked knightships:

x = 59, y = 53, rule = B3/S23 57bo$56bo$56b3o12$36bo$34b2o$35b2o22$20b2o$19bo2bo$19bobo$17b2obo$16bo 2bo$16bobo$17bo2$4b2o$3bo2bo$3bobo$b2obo$o2bo$obo$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 60 X -15 Y 15 TRACKLOOP 290 -3/290 -6/290 THUMBSIZE 2 ZOOM 10 HEIGHT 480 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here

It can also act as a one-time glider reflector in various other collisions.

Commonness

Half-bakery is the eleventh most common still life in Achim Flammenkamp's census, being less common than barge but more common than mango.[1] It is also the fifteenth most common object on Adam P. Goucher's Catagolue.[2]

References

  1. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on June 6, 2013.
  2. Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.

External links