Mirrored table: Difference between revisions
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|by = 4 | |by = 4 | ||
|fc = 16.2 | |fc = 16.2 | ||
|symmetry = +e | |||
|rulemin = B/S23 | |rulemin = B/S23 | ||
|rulemax = B3578/S012345678 | |rulemax = B3578/S012345678 | ||
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|niemiecid = 12.25 | |niemiecid = 12.25 | ||
|pentadecathlonid = 12.9 | |pentadecathlonid = 12.9 | ||
|viewerconfig = [[ ZOOM 57 ]] | |||
}} | }} | ||
'''Mirrored table''' is a {{slcells|12|text=12-cell}} [[still life]]. It consists of two [[table]]s facing each other with one row of dead cells between them. | '''Mirrored table''' is a {{slcells|12|text=12-cell}} [[still life]]. It consists of two [[table]]s facing each other with one row of dead cells between them. | ||
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It is the only 12-cell still life to fit within a {{times|5|4}} bounding box. | It is the only 12-cell still life to fit within a {{times|5|4}} bounding box. | ||
== Construction == | == Construction == | ||
{{EmbedViewer | {{EmbedViewer | ||
|rle = x = | |rle = x = 92, y = 72, rule = B3/S23 | ||
81bo$25bo22bo31bo$24bo7bo14bo32b3o$24b3o6b2o12b3o$32b2o$70bobo$56bobo | |||
|viewerconfig = #C [[ THEME Book ZOOM | 12b2o$56b2o13bo$57bo$50bo$49b2o15b3o$49bobo16bo$67bo4$bo69b3o$b2o70bo$ | ||
obo10b2o57bo$13bobo5b2o$13bo6b2o$22bo2$5bo$6b2o$5b2o4$67b2o2b2o$66bobo | |||
b2o$68bo3bo$46bobo$38bo7b2o$39b2o6bo$38b2o2$16bo$15bo$15b3o$19b3o$19bo | |||
$20bo$35b2o$36b2o$35bo10b3o$46bo$47bo6$89b3o$89bo$5b2o83bo$6b2o$5bo12$ | |||
35b3o$37bo$36bo! | |||
|viewerconfig = #C [[ THEME Book ZOOM 4 X 0 Y -6 AUTOSTART GPS 12 T 0 PAUSE 3 T 119 PAUSE 2 LOOP 120 ]] | |||
|position = center | |position = center | ||
|caption = | |caption = 4G syntheses<ref name="drh_syntheses" /><ref name="niemiec" /> | ||
|style = width: | |style = width:300px; | ||
}} | }} | ||
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 | 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 name="niemiec" /> | ||
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. | 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 | {| style="margin:auto;width:360px" | ||
|{{EmbedViewer | |{{EmbedViewer | ||
|rle = x = 10, y = 9, rule = B3/S23 | |rle = x = 10, y = 9, rule = B3/S23 | ||
| Line 64: | Line 66: | ||
}} | }} | ||
|} | |} | ||
== Occurrence == | |||
{{related|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]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> | |||
It is the 30th [[List of common still lifes|most common still life]] on [[Adam P. Goucher]]'s [[Catagolue]], being less common than [[tub with tail]] but more common than [[dead spark coil]]. It is the 2nd most common still life with 12 cells, being 392 times less common than [[ship-tie]] but 8 times as common as [[block on cap]].<ref>{{citeCatagolueStats|May 5, 2023}}</ref> | |||
There are 12 results in the [[octohash database]] (including one collision with two occurrences{{refn|Headerless RLE: {{headerlessRLE|4bo$3bobo$2bobo$2b2o3$b2o$obo$2o2$bo$2o$obo!}}}}), 25 results in the octo3g database, and 191 results in the octo3obj database with this still life occurring in the ash. | |||
== See also == | == See also == | ||
| Line 70: | Line 80: | ||
== References == | == References == | ||
<references /> | <references> | ||
<ref name="drh_syntheses">[https://conwaylife.com/ref/DRH/syntheses.html 2, 3, and 4-glider syntheses] at Dean Hickerson's Life page</ref> | |||
<ref name="niemiec">{{LinkNiemiec|p1-12.htm|The 121 twelve-bit still-lifes|rle=12/12-25.rle|nobullet=nobullet}}</ref> | |||
</references> | |||
== External links == | == External links == | ||
* {{LinkCatagolue|xs12_raar}} | * {{LinkCatagolue|xs12_raar}} | ||
* {{LinkLexicon|filename=lex_t.htm#tableontable}} | * {{LinkLexicon|filename=lex_t.htm#tableontable}} | ||
* {{LinkPentadecathlonObject|12.9}} | * {{LinkPentadecathlonObject|12.9}} | ||
__NOTOC__ | __NOTOC__ | ||
Latest revision as of 14:34, 9 August 2024
| Mirrored table | |||||||||
| View static image | |||||||||
| Pattern type | Strict still life | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 12 | ||||||||
| Bounding box | 5 × 4 | ||||||||
| Frequency class | 16.2 | ||||||||
| Static symmetry | +e (D4_+2) | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | Unknown | ||||||||
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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.
Construction
| 4G syntheses[1][2] (click above to open LifeViewer) |
There are known 4-glider syntheses for a mirrored table; a number of known syntheses can be found in Mark Niemiec's database.[2]
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.
|
|
Occurrence
- See also: 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.[3]
It is the 30th most common still life on Adam P. Goucher's Catagolue, being less common than tub with tail but more common than dead spark coil. It is the 2nd most common still life with 12 cells, being 392 times less common than ship-tie but 8 times as common as block on cap.[4]
There are 12 results in the octohash database (including one collision with two occurrences[5]), 25 results in the octo3g database, and 191 results in the octo3obj database with this still life occurring in the ash.
See also
References
- ↑ 2, 3, and 4-glider syntheses at Dean Hickerson's Life page
- ↑ 2.0 2.1 The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-25.rle)
- ↑ 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 May 5, 2023.
- ↑ Headerless RLE: 4bo$3bobo$2bobo$2b2o3$b2o$obo$2o2$bo$2o$obo!
External links
- Mirrored table at Adam P. Goucher's Catagolue
- Mirrored table at the Life Lexicon
- 12.9 at Heinrich Koenig's Game of Life Object Catalogs