Honeycomb

From LifeWiki
Jump to navigation Jump to search
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.
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 ]]
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