Mirrored table: Difference between revisions

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Confocal (talk | contribs)
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construction, formatting
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One of the tables can be moved by two cells to the side, resulting in [[rotated table]].
One of the tables can be moved by two cells to the side, resulting in [[rotated table]].


It is the only 12-cell still life to fit within a 5×4 bounding box.
It is the only 12-cell still life to fit within a {{times|5|4}} bounding box.


== Commonness ==
== Commonness ==
Line 29: Line 29:
Mirrored table is the thirtieth most common [[still life]] in [[Achim Flammenkamp's census]], being less common than [[very long ship]] but more common than [[canoe]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> It is also the thirty-eighth most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref>
Mirrored table is the thirtieth most common [[still life]] in [[Achim Flammenkamp's census]], being less common than [[very long ship]] but more common than [[canoe]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> It is also the thirty-eighth most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref>


== Glider synthesis ==
== Construction ==
{{Small constructible periodic object}}
 
There are known {{gliders|4}} [[Glider synthesis|syntheses]] for a mirrored table; a number of known syntheses can be found in [[Mark Niemiec's database]].<ref>{{LinkNiemiec|12/12-25.rle|patternname=12-25.rle|nobullet=nobullet}}</ref>
 
The [[octohash database]] contains a constellation of two [[long boat]]s which can serve as a [[one-glider seed]] for the mirrored table. The [[octo3obj database]] contains five other small constellations of common objects, each of which can also be used as a 1G seed for the mirrored table.
 
{|style="margin:auto;width:360px;"
|{{EmbedViewer
|rle          = x = 10, y = 9, rule = B3/S23
bo$obo$bobo4b2o$2b2o3b2o$9bo$5bo$4bobo$3bobo$3b2o!
|viewerconfig = #C [[ THEME Book ZOOM 12 X 0 Y -2 AUTOSTART GPS 12 T 0 PAUSE 2 T 28 PAUSE 1 LOOP 29 ]]
|position    = center
|caption      = A 1G seed for the mirrored table from the octohash database
}}
|-
|{{EmbedViewer
|rle          = x = 59, y = 27, rule = B3/S23
4b2ob2o42bo$4b2ob2o16b2o23bobo$2o9b3o11b2o23bobo$2o9bo18bo13b3o4bo$6b
2o4bo17bo$5bo2bo15b2o4bo$6b2o16b2o27b3o$32b2o10b2ob2o4bo$32b2o10b2ob2o
5bo$24b2o$24bobo$24bo5$11b2o31bo$11b2o31bo$44bo$11b2o$5b3o3b2o35b2o$
48b2o$2b2o48b2o2b3o$2b2o6b2o40b2o2bo$10bobo34b2o8bo$10bo36b2o3b2o$52b
2o!
|viewerconfig = #C [[ THEME Book ZOOM 8 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 2 T 62 PAUSE 1 LOOP 63 ]]
|position    = center
|caption      = Five 1G seeds from the octo3obj database
}}
|}


== See also ==
== See also ==

Revision as of 10:55, 22 October 2022

Mirrored table
x = 5, y = 4, rule = B3/S23 2ob2o$bobo$bobo$2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]]
View static image
Pattern type Strict still life
Number of cells 12
Bounding box 5 × 4
Frequency class 16.2
Static symmetry Unspecified
Discovered by Unknown
Year of discovery Unknown

Mirrored table is a 12-cell still life. It consists of two tables facing each other with one row of dead cells between them.

One of the tables can be moved by two cells to the side, resulting in rotated table.

It is the only 12-cell still life to fit within a 5 × 4 bounding box.

Commonness

Main article: List of common still lifes

Mirrored table is the thirtieth most common still life in Achim Flammenkamp's census, being less common than very long ship but more common than canoe.[1] It is also the thirty-eighth most common object on Adam P. Goucher's Catagolue.[2]

Construction

There are known 4-glider syntheses for a mirrored table; a number of known syntheses can be found in Mark Niemiec's database.[3]

The octohash database contains a constellation of two long boats which can serve as a one-glider seed for the mirrored table. The octo3obj database contains five other small constellations of common objects, each of which can also be used as a 1G seed for the mirrored table.

x = 10, y = 9, rule = B3/S23 bo$obo$bobo4b2o$2b2o3b2o$9bo$5bo$4bobo$3bobo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 12 X 0 Y -2 AUTOSTART GPS 12 T 0 PAUSE 2 T 28 PAUSE 1 LOOP 29 ]]
A 1G seed for the mirrored table from the octohash database
(click above to open LifeViewer)
x = 59, y = 27, rule = B3/S23 4b2ob2o42bo$4b2ob2o16b2o23bobo$2o9b3o11b2o23bobo$2o9bo18bo13b3o4bo$6b 2o4bo17bo$5bo2bo15b2o4bo$6b2o16b2o27b3o$32b2o10b2ob2o4bo$32b2o10b2ob2o 5bo$24b2o$24bobo$24bo5$11b2o31bo$11b2o31bo$44bo$11b2o$5b3o3b2o35b2o$ 48b2o$2b2o48b2o2b3o$2b2o6b2o40b2o2bo$10bobo34b2o8bo$10bo36b2o3b2o$52b 2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 8 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 2 T 62 PAUSE 1 LOOP 63 ]]
Five 1G seeds from the octo3obj database
(click above to open LifeViewer)

See also

References

  1. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  2. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
  3. ↑ 12-25.rle at Mark D. Niemiec's Life Page


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