Difference between revisions of "Cis-loaf on table"

From LifeWiki
Jump to navigation Jump to search
(infobox)
m (update gallery formatting)
 
(33 intermediate revisions by 7 users not shown)
Line 1: Line 1:
{{Stilllife
{{Stilllife
|name         = Ortho-loaf and table
|name             = Cis-loaf on table
|pname       = ortholoafandtable
|pname           = cisloafontable
|c           = 13
|c               = 13
|bx           = 5
|bx               = 7
|by          = 7
|by              = 5
|rulemin     = B/S23
|fc              = 20.9
|rulemax     = B3678/S012345678
|rulemin         = B/S23
|rulespecial = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|rulemax         = B3678/S012345678
|synthesis   = 6
|rulespecial     = [[Conway's Game of Life|Conway Life]], {{rl|HighLife}}
|synthesisRLE = true
|isorulemin      = B/S2-i3r
|life105      = true
|isorulemax      = B2ikn34-aijn5-kr678/S012345678
|life106      = true
|synthesis       = 4
|plaintext    = true
|synthesisRLE     = true
|rle          = true
|plaintext        = true
|rle              = true
|apgcode          = xs13_4a960ui
|niemiecid        = 13.27
|pentadecathlonid = 13.148
|viewerconfig    = [[ ZOOM 39 ]]
}}
}}
'''Ortho-loaf and table''' is a [[:Category:strict still lifes with 13 cells|13]]-[[cell]] [[still life]] consisting of a [[loaf]] and a [[table]].
'''Cis-loaf on table''' is an {{slcells|13|text=13-cell}} [[still life]].


==Commonness==
== Construction ==
Ortho-loaf and table is the eighty-seventh most common still life in [[Achim Flammenkamp's census]], being less common than [[trans-boat with nine]] but more common than [[beehive bend tail]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref>
This still life is known to be [[Glider synthesis|constructible]] with 4 gliders.
A {{gliders|4}} synthesis was found in August {{year|2017}}.<ref name="post48924" />
{{gallery top}}
{{gallery item|{{EmbedViewer
|rle          = x = 45, y = 55, rule = B3/S23
18bo$19bo$17b3o2$32bo$31bo$31b3o3$18bobo$19b2o$19bo15$41bo2bo$41b4o2$
41b2o$40bo2bo$41bobo$42bo20$3o$2bo$bo!
|viewerconfig = #C [[ HEIGHT 600 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 93 PAUSE 2 LOOP 94 ]]
|position    = center
|caption      = A 4G synthesis<ref name="post48924" />
|style        = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|rle          = x = 59, y = 56, rule = B3/S23
18bo$19bo18bo$17b3o17bo$37b3o8$55bo2bo$55b4o2$37b3o15b2o$37bo16bo2bo$
20b3o15bo16bobo$22bo33bo$21bo35$b2o$obo$2bo!
|viewerconfig = #C [[ HEIGHT 500 THEME Book ZOOM 8 X 6 Y 0 AUTOSTART GPS 12 T 0 PAUSE 1 T 16 PAUSE 3 T 108 PAUSE 1 T 116 PAUSE 2 LOOP 117 ]]
|position    = center
|caption      = A 5G synthesis<ref name="niemiec" />
|style        = width:300px;
}}}}
{{gallery bottom}}


==See also==
== Occurrence ==
*[[List of common still lifes]]
{{related|List of common still lifes}}
Cis-loaf on table is the eighty-seventh most common still life in [[Achim Flammenkamp's census]], being less common than [[trans-boat with nine]] but more common than [[beehive with hooked tail]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref>


==References==
It is the 73rd [[List of common still lifes|most common still life]] on [[Adam P. Goucher]]'s [[Catagolue]], being less common than [[eleven loop]] but more common than [[cis-loaf with tail]]. It is the 2nd most common still life with 13 cells, being less common than [[beehive at loaf]] but more common than [[trans-snake on bun]].<ref>{{citeCatagolueStats|May 5, 2023}}</ref>
<references />
 
There are 5 [[three-glider collision]]s in the [[octo3g database]]<ref group=note name="note_octo3g" /> and 18 collisions in the [[octo3obj database]]<ref group=note name="note_octo3obj" /> with this still life occurring in the final pattern.
 
== Isomers ==
This still life is comprised of the normally stable [[loaf]] acting to stabilise the normally unstable [[table]], an [[induction coil]]. This is one of two possible [[isomer]]s, named [[cis]] due to less of the loaf extending past the side of the table; the other isomer, [[trans-loaf on table]], extends out by one more cell.
 
== Notes ==
<references group=note>
 
<ref name="note_octo3g">Three collisions converge to a B+glider collision (final population 72, headerless RLE {{headerlessRLE|19b2o$19bobo$19bo2$bo$3o$ob2o!}}) via 2G syntheses of the B-heptomino sequence. The two other collisions are {{headerlessRLE|6bo$4b2o$5b2o$bo$2bo$3o32$16bo$15b2o$15bobo!}} (final population 115) and {{headerlessRLE|obo$b2o$bo11$76bo$74b2o$75b2o$71bo$72bo$70b3o!}} (final population 116).</ref>
 
<ref name="note_octo3obj">Eight collisions converge to {{headerlessRLE|11b3o$2o9bo2bo$2o9bo3bo$15bo$11bo3bo$b2o8bo2bo$o2bo7b3o$b2o!}} (final population 157). Seven other collisions converge to {{headerlessRLE|b2o$o2bo$b2o2$13b3o$15bo$b2ob2o7b3o$b2ob2o!}} (final population 197). Three other collisions are {{headerlessRLE|3bo$3bo$3bo5b2o$9b2o2$bo7b2o$obo6b2o$obo2b2o$bo2b2o$6bo!}} (final population 35), {{headerlessRLE|bo$obo$obo$bo2$6bo$6bo$6bo5b3o$12bo$8b3o2bo!}} (final population 448) and {{headerlessRLE|4bo$4bo$4bo4$6b2ob2o2b2o$6b2ob2ob2o$14bo$3o!}} (final population 522).</ref>
 
</references>
 
== References ==
<references>
<ref name="post48924">{{LinkForumThread
|format  = ref
|p      = 48924
|title  = Re: 4 glider syntheses
|author  = Simon Ekström
|date    = August 16, 2017
}}</ref>
<ref name="niemiec">{{LinkNiemiec|p1-13.htm|The 240 thirteen-bit still-lifes|rle=13/13-27.rle|nobullet=nobullet}}</ref>
</references>


== External links ==
== External links ==
{{LinkCatagolue|xs13_4a960ui}}
* {{LinkCatagolue|xs13_4a960ui}}
{{LinkNiemiec|p1-13.htm|patternname=The 240 thirteen-bit still-lifes}}
* {{LinkPentadecathlonObject|id=13.148|archivedate=20221103201624}}
* {{LinkNiemiec|p1-13.htm|The 240 thirteen-bit still-lifes|rle=13/13-27.rle}}
 
__NOTOC__
__NOTOC__

Latest revision as of 14:34, 9 May 2023

Cis-loaf on table
x = 5, y = 7, rule = B3/S23 2bo$bobo$o2bo$b2o2$b4o$bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 39 ]]
View static image
Pattern type Strict still life
Number of cells 13
Bounding box 7 × 5
Frequency class 20.9
Discovered by Unknown
Year of discovery Unknown

Cis-loaf on table is an 13-cell still life.

Construction

This still life is known to be constructible with 4 gliders. A 4-glider synthesis was found in August 2017.[1]

x = 45, y = 55, rule = B3/S23 18bo$19bo$17b3o2$32bo$31bo$31b3o3$18bobo$19b2o$19bo15$41bo2bo$41b4o2$ 41b2o$40bo2bo$41bobo$42bo20$3o$2bo$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 93 PAUSE 2 LOOP 94 ]]
A 4G synthesis[1]
(click above to open LifeViewer)
x = 59, y = 56, rule = B3/S23 18bo$19bo18bo$17b3o17bo$37b3o8$55bo2bo$55b4o2$37b3o15b2o$37bo16bo2bo$ 20b3o15bo16bobo$22bo33bo$21bo35$b2o$obo$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 THEME Book ZOOM 8 X 6 Y 0 AUTOSTART GPS 12 T 0 PAUSE 1 T 16 PAUSE 3 T 108 PAUSE 1 T 116 PAUSE 2 LOOP 117 ]]
A 5G synthesis[2]
(click above to open LifeViewer)


Occurrence

See also: List of common still lifes

Cis-loaf on table is the eighty-seventh most common still life in Achim Flammenkamp's census, being less common than trans-boat with nine but more common than beehive with hooked tail.[3]

It is the 73rd most common still life on Adam P. Goucher's Catagolue, being less common than eleven loop but more common than cis-loaf with tail. It is the 2nd most common still life with 13 cells, being less common than beehive at loaf but more common than trans-snake on bun.[4]

There are 5 three-glider collisions in the octo3g database[note 1] and 18 collisions in the octo3obj database[note 2] with this still life occurring in the final pattern.

Isomers

This still life is comprised of the normally stable loaf acting to stabilise the normally unstable table, an induction coil. This is one of two possible isomers, named cis due to less of the loaf extending past the side of the table; the other isomer, trans-loaf on table, extends out by one more cell.

Notes

  1. ↑ Three collisions converge to a B+glider collision (final population 72, headerless RLE 19b2o$19bobo$19bo2$bo$3o$ob2o!) via 2G syntheses of the B-heptomino sequence. The two other collisions are 6bo$4b2o$5b2o$bo$2bo$3o32$16bo$15b2o$15bobo! (final population 115) and obo$b2o$bo11$76bo$74b2o$75b2o$71bo$72bo$70b3o! (final population 116).
  2. ↑ Eight collisions converge to 11b3o$2o9bo2bo$2o9bo3bo$15bo$11bo3bo$b2o8bo2bo$o2bo7b3o$b2o! (final population 157). Seven other collisions converge to b2o$o2bo$b2o2$13b3o$15bo$b2ob2o7b3o$b2ob2o! (final population 197). Three other collisions are 3bo$3bo$3bo5b2o$9b2o2$bo7b2o$obo6b2o$obo2b2o$bo2b2o$6bo! (final population 35), bo$obo$obo$bo2$6bo$6bo$6bo5b3o$12bo$8b3o2bo! (final population 448) and 4bo$4bo$4bo4$6b2ob2o2b2o$6b2ob2ob2o$14bo$3o! (final population 522).

References

  1. ↑ 1.0 1.1 Simon Ekström (August 16, 2017). Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums
  2. ↑ The 240 thirteen-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-27.rle)
  3. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  4. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 5, 2023.

External links


Retrieved from "https://conwaylife.com/w/index.php?title=Cis-loaf_on_table&oldid=130580"