Difference between revisions of "Honeycomb"

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{{About|the still life|the induction coil|Honeycombinator}}
{{Stilllife
{{Stilllife
|name            = Honeycomb
|name            = Honeycomb
Line 8: Line 9:
|rulemin          = B/S23
|rulemin          = B/S23
|rulemax          = B3678/S012345678
|rulemax          = B3678/S012345678
|rulespecial      = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|isorulemin      = B/S2ck3cy
|isorulemin      = B/S2ck3cy
|isorulemax      = B2-ae34-e5-y678/S012345678
|isorulemax      = B2-ae34-e5-y678/S012345678
|synthesis        = 6
|synthesis        = 5
|synthesisRLE    = true
|synthesisRLE    = true
|plaintext        = true
|plaintext        = true
Line 18: Line 18:
|niemiecid        = 12.121
|niemiecid        = 12.121
|pentadecathlonid = 12.120
|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 [[still life]] with [[:Category:strict still lifes with 12 cells|12]] [[cell]]s.
'''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 contains a photonegative [[beehive]].
It can be seen as containing a photonegative [[beehive]].


==In other rules==
== Construction ==
Honeycomb is common in some S8 rules. An eight-cell-row turns into this.
It is also common in S2-i rules, where they evolve from phi sparks.


==See also==
This still life is known to be [[Glider synthesis|constructible]] with 5 gliders.<ref name="catagolue_object" />
*[[Super loaf]]
A {{gliders|6}} synthesis was found in May {{year|2017}}.<ref name="post43517" />
*[[Super mango]]
A {{gliders|5}} synthesis was found by bubblegum in October {{year|2020}} with a [[Catagolue]]-based random glider synthesis searching script.<ref name="post106777" />
*[[Honey farm]]
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}}


==References==
== Occurrence ==
<references/>
{{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]].


==External links==
There are no collisions in [[Octohash database|octohash]], octo3obj or octo3g databases with this still life occurring in the ash.
{{LinkWeisstein|Honeycomb.html}}
 
{{LinkLexicon|lex_h.htm#honeycomb}}
== In other rules ==
{{LinkCatagolue|xs12_4alla4}}
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.
{{LinkNiemiec|p1-12.htm|patternname=The 121 twelve-bit still-lifes}}
 
== 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}}
{{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
x = 6, y = 5, rule = B3/S23 2b2o$bo2bo$ob2obo$bo2bo$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] #C [[ ZOOM 42 ]]
View static image
Pattern type Strict still life
Number of cells 12
Bounding box 6 × 5
Frequency class 31.3
Discovered by Unknown
Year of discovery Unknown

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]

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! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 35 PAUSE 2 LOOP 36 ]]
A 5G synthesis[4]
(click above to open LifeViewer)
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! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #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 ]]
A 6G synthesis[3]
(click above to open LifeViewer)
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! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #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 ]]
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

  1. ↑ "Super beehive". The Life Lexicon. Stephen Silver. Retrieved on May 2, 2009.
  2. ↑ xs12_4alla4 at Adam P. Goucher's Catagolue
  3. ↑ 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. ↑ 4.0 4.1 Ian07 (October 16, 2020). Re: Randomly enumerating glider syntheses (discussion thread) at the ConwayLife.com forums
  5. ↑ 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


Retrieved from "https://conwaylife.com/w/index.php?title=Honeycomb&oldid=146800"