Cis-tub with long⁴ tail

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Cis-tub with long4 tail
x = 6, y = 8, rule = B3/S23 3bo$2bobo$3bobo$5bo$4bo$3bo$obo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]]
Pattern type Strict still life
Number of cells 12
Bounding box 6 × 8
Frequency class 32.5
Static symmetry Unspecified
Discovered by Robert Wainwright
Everett Boyer
Year of discovery 1973

Cis-tub with long4 tail is a 12-cell still life.

Construction

This still life is known to be constructible with 5 gliders.[1] A 8-glider synthesis was found in June 2015.[2] A 7-glider synthesis was found in March 2021.[3][4] A 6-glider synthesis was found in October 2022.[5] A 5-glider synthesis was found in March 2023.[6] Some known glider syntheses can be found in Mark Niemiec's database.[7]

x = 35, y = 38, rule = B3/S23 24bo$24bobo$24b2o11$33b2o$32bobo$31bo$30bo$29bo$29bobo$30bobo$31bo4$ 18bo$2b2o13b2o$3b2o12bobo$2bo6$22b3o$22bo$3o20bo$2bo$bo! #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 33 PAUSE 1 T 55 PAUSE 2 LOOP 56 ]]
A 5G synthesis[6]
(click above to open LifeViewer)
x = 76, y = 72, rule = B3/S23 bo$2bo$3o30$70bo$69bo$69b3o5$41bo32b2o$42b2o29bobo$41b2o29bo$71bo$49b 2o19bo$48bobo4b2o13bobo$50bo3b2o15bobo$56bo15bo23$32b2o$31bobo$33bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 8 X 24 Y 8 AUTOSTART GPS 12 T 0 PAUSE 3 T 29 PAUSE 1 T 30 PAUSE 1 T 159 PAUSE 1 T 168 PAUSE 2 LOOP 169 ]]
A 6G synthesis[5]
(click above to open LifeViewer)
x = 45, y = 28, rule = B3/S23 42bo$42bobo$42b2o$bo7bo$2bo7bo17b2o$3o5b3o16bobo$26bo$25bo$24bo$24bobo $25bobo$3b3o20bo$5bo$4bo4$11bo$12bo$10b3o$15b2o$14bobo$16bo3$12b3o$14b o$13bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 3 T 23 PAUSE 1 T 98 PAUSE 1 T 107 PAUSE 2 LOOP 108 ]]
A 7G synthesis[4]
(click above to open LifeViewer)
x = 29, y = 32, rule = B3/S23 2bobo$3b2o$3bo3$18bo$17bo$bo15b3o$2bo$3o4$18bo$17bo$10bo6b3o$9bo$9b3o 2$27b2o$26bobo$25bo$12bo11bo$10b2o11bo$11b2o10bobo$24bobo$b3o21bo$3bo$ 2bo$14b2o$14bobo$14bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 3 T 18 PAUSE 1 T 40 PAUSE 1 T 41 PAUSE 2 LOOP 42 ]]
A 8G synthesis[2]
(click above to open LifeViewer)
x = 41, y = 29, rule = B3/S23 bo$2bo30bobo$3o30b2o$27bo6bo$27bobo9b2o$27b2o9bobo$37bo$17b2o17bo$16bo bo16bo$18bo3b3o10bobo$22bo13bobo$23bo13bo$11b2o$10bobo$12bo7$28b3o$28b o9bo$29bo7b2o$2b2o33bobo$bobo28b2o$3bo4b3o20b2o$10bo22bo$9bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 3 T 18 PAUSE 1 T 52 PAUSE 2 LOOP 53 ]]
A two-stage 11G synthesis[7][8]
(click above to open LifeViewer)

Occurrence

See also: List of common still lifes, List of still lifes with 12 cells

Among the still lifes with 12 cells, this is the 94th 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.

Isomers

This still life is comprised of the normally stable tub with a normally unstable long4 tail attached. While it technically has no isomers, it is named cis due to the corner part of the tail being closer to the tub; the other "isomer", trans-tub with long4 tail, has this corner part slightly farther.

References

  1. xs12_ci52zw1246 at Adam P. Goucher's Catagolue
  2. 2.0 2.1 BobShemyakin (June 20, 2015). Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums
  3. BlinkerSpawn (March 15, 2021). Message in #cgol on the Conwaylife Lounge Discord server
  4. 4.0 4.1 bubblegum (March 15, 2021). Re: n-in-m: A Collection of Efficient Synthesis Projects (discussion thread) at the ConwayLife.com forums
  5. 5.0 5.1 shinjuku (#3213047250) (October 22, 2022). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  6. 6.0 6.1 shinjuku (#3860052288) (March 2, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  7. 7.0 7.1 The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-50.rle)
  8. mniemiec (June 20, 2015). Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums

External links