Difference between revisions of "Honeycomb"
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{{Stilllife|name=Honeycomb|pname=honeycomb|c=12| | {{About|the still life|the induction coil|Honeycombinator}} | ||
'''Honeycomb''' is a symmetric [[still life]]. | {{Stilllife | ||
|name = Honeycomb | |||
|pname = honeycomb | |||
|c = 12 | |||
|bx = 6 | |||
|by = 5 | |||
|fc = 31.3 | |||
|rulemin = B/S23 | |||
|rulemax = B3678/S012345678 | |||
|isorulemin = B/S2ck3cy | |||
|isorulemax = B2-ae34-e5-y678/S012345678 | |||
|synthesis = 5 | |||
|synthesisRLE = true | |||
|plaintext = true | |||
|rle = true | |||
|apgcode = xs12_4alla4 | |||
|niemiecid = 12.121 | |||
|pentadecathlonid = 12.120 | |||
|viewerconfig = #C [[ ZOOM 42 ]] | |||
}} | |||
'''Honeycomb''' (or '''super beehive'''<ref>{{CiteLexicon|file=lex_s.htm#superbeehive|name=Super beehive|accessdate=May 2, 2009}}</ref>) is a symmetric {{slcells|12|text=12-cell}} [[still life]]. | |||
It can be seen as containing a photonegative [[beehive]]. | |||
== | == Construction == | ||
This still life is known to be [[Glider synthesis|constructible]] with 5 gliders.<ref name="catagolue_object" /> | |||
A {{gliders|6}} synthesis was found in May {{year|2017}}.<ref name="post43517" /> | |||
A {{gliders|5}} synthesis was found by bubblegum in October {{year|2020}} with a [[Catagolue]]-based random glider synthesis searching script.<ref name="post106777" /> | |||
Several known alternate syntheses can be found in [[Mark Niemiec's database]].<ref name="niemiec" /> | |||
{{gallery top}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = x = 34, y = 24, rule = B3/S23 | |||
2bobo$3b2o$3bo2$o$b2o5bo$2o4bobo$7b2o5$30b2o$29bo2bo$28bob2obo$29bo2bo | |||
$30b2o$21b3o$21bo$22bo2$20bo$19b2o$19bobo! | |||
|viewerconfig = #C [[ HEIGHT 400 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 35 PAUSE 2 LOOP 36 ]] | |||
|position = center | |||
|caption = A 5G synthesis<ref name="post106777" /> | |||
|style = width:300px; | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = x = 47, y = 44, rule = B3/S23 | |||
5bo$6b2o$5b2o4$9bo$10bo$8b3o3$11bo$12bo$10b3o5$16bo$obo12bo27b2o$b2o | |||
12b3o24bo2bo$bo39bob2obo$42bo2bo$43b2o18$41b2o$41bobo$41bo! | |||
|viewerconfig = #C [[ HEIGHT 400 THEME Book ZOOM 10 X 0 Y -4 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 116 PAUSE 2 LOOP 117 ]] | |||
|position = center | |||
|caption = A 6G synthesis<ref name="post43517" /> | |||
|style = width:300px; | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = x = 55, y = 54, rule = B3/S23 | |||
8bo$6bobo$7b2o2$13bo$14b2o$13b2o38bo$52bo$52b3o5$20bo$21bo$19b3o3$30bo | |||
$29bo$29b3o3$46bo$45bobo$44bobobo$44bobobo$45bobo$46bo3$35b3o$35bo$20b | |||
3o13bo$22bo$21bo5$3b2o$4b2o$3bo2$51bo$50b2o$b2o47bobo$obo$2bo3$5b2o$4b | |||
obo$6bo! | |||
|viewerconfig = #C [[ HEIGHT 400 THEME Book ZOOM 8 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 44 PAUSE 1 T 81 PAUSE 2 LOOP 82 ]] | |||
|position = center | |||
|caption = An 11G synthesis<ref name="niemiec" /> | |||
|style = width:300px; | |||
}}}} | |||
{{gallery bottom}} | |||
== Occurrence == | |||
{{related|List of common still lifes}} | |||
Among the 121 still lifes with 12 cells, this is the 76th most common still life according to [[Catagolue]]. | |||
There are no collisions in [[Octohash database|octohash]], octo3obj or octo3g databases with this still life occurring in the ash. | |||
== In other rules == | |||
As for [[isotropic non-totalistic]] rules, the honeycomb is common in S8 rules from B3i/S2cik3acy8 to B2-ae34-e5-y678/S01c2345-i678, including the outer-totalistic {{rl|EightLife}}) (B3/S238), as a [[line of six]] evolves into one. It is also common in S2-i rules from B3i/S2ck3cy to B2-ae34-ew5-y678/S012-i345678 like {{rl|tlife}} where it evolves from what is the [[phi spark]] in Life. | |||
== See also == | |||
* [[Super loaf]] | |||
* [[Super mango]] | |||
* [[Super pond]] | |||
* [[Honey farm]] | |||
== References == | |||
<references> | |||
<ref name="post106777">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Randomly enumerating glider syntheses | |||
|p = 106777 | |||
|author = Ian07 | |||
|date = October 16, 2020 | |||
}}</ref> | |||
<ref name="post43517">{{LinkForumThread | |||
|format = ref | |||
|title = Re: 16 in 16: Efficient 16-bit Synthesis Project | |||
|p = 43517 | |||
|author = chris_c | |||
|date = May 14, 2017 | |||
}}</ref> | |||
<ref name="catagolue_object">{{LinkCatagolue|xs12_4alla4|style=nobullet}}</ref> | |||
<ref name="niemiec">{{LinkNiemiec|p1-12.htm|The 121 twelve-bit still-lifes|rle=12/12-121.rle|nobullet=nobullet}}</ref> | |||
</references> | |||
== External links == | |||
* {{LinkCatagolue|xs12_4alla4}} | |||
* {{LinkLexicon|lex_h.htm#honeycomb}} | |||
* {{LinkPentadecathlonObject|id=12.120|archivedate=20221029003911}} | |||
{{Symmetry|orthogonal4}} | |||
__NOTOC__ |
Latest revision as of 05:23, 13 March 2024
- This article is about the still life. For the induction coil, see Honeycombinator.
Honeycomb | |||||||||
View static image | |||||||||
Pattern type | Strict still life | ||||||||
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Number of cells | 12 | ||||||||
Bounding box | 6 × 5 | ||||||||
Frequency class | 31.3 | ||||||||
Discovered by | Unknown | ||||||||
Year of discovery | Unknown | ||||||||
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Honeycomb (or super beehive[1]) is a symmetric 12-cell still life.
It can be seen as containing a photonegative beehive.
Construction
This still life is known to be constructible with 5 gliders.[2] A 6-glider synthesis was found in May 2017.[3] A 5-glider synthesis was found by bubblegum in October 2020 with a Catagolue-based random glider synthesis searching script.[4] Several known alternate syntheses can be found in Mark Niemiec's database.[5]
A 5G synthesis[4] (click above to open LifeViewer) |
A 6G synthesis[3] (click above to open LifeViewer) |
An 11G synthesis[5] (click above to open LifeViewer) |
Occurrence
- See also: List of common still lifes
Among the 121 still lifes with 12 cells, this is the 76th most common still life according to Catagolue.
There are no collisions in octohash, octo3obj or octo3g databases with this still life occurring in the ash.
In other rules
As for isotropic non-totalistic rules, the honeycomb is common in S8 rules from B3i/S2cik3acy8 to B2-ae34-e5-y678/S01c2345-i678, including the outer-totalistic EightLife) (B3/S238), as a line of six evolves into one. It is also common in S2-i rules from B3i/S2ck3cy to B2-ae34-ew5-y678/S012-i345678 like tlife where it evolves from what is the phi spark in Life.
See also
References
- ↑ "Super beehive". The Life Lexicon. Stephen Silver. Retrieved on May 2, 2009.
- ↑ xs12_4alla4 at Adam P. Goucher's Catagolue
- ↑ 3.0 3.1 chris_c (May 14, 2017). Re: 16 in 16: Efficient 16-bit Synthesis Project (discussion thread) at the ConwayLife.com forums
- ↑ 4.0 4.1 Ian07 (October 16, 2020). Re: Randomly enumerating glider syntheses (discussion thread) at the ConwayLife.com forums
- ↑ 5.0 5.1 The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-121.rle)
External links
- Honeycomb at Adam P. Goucher's Catagolue
- Honeycomb at the Life Lexicon
- 12.120 at Heinrich Koenig's Game of Life Object Catalogs