Cis-tub with long⁴ tail

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 ]] #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 3 ZOOM 48 ]]
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Pattern type	Strict still life
Number of cells	12
Bounding box	6 × 8
Frequency class	32.5
Static symmetry	n
Discovered by	Robert Wainwright Everett Boyer
Year of discovery	1973
Rules Outer-totalistic rules B/S23 – B35678/S012345678 # of rules 212 = 4096 Isotropic rules B/S2-i3cn – B2in34-ejkr5678/S012345678
Glider synthesis Fewest gliders 5 Catagolue-generated RLE synthesis
Pattern files Plaintext cistubwithlong4tail.cells RLE cistubwithlong4tail.rle
Identifiers apgcode xs12_ci52zw1246 Niemiec ID 12.50 Pentadecathlon ID 12.70

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

Construction

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

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 (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 (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 (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 (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 (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.

External links

• Cis-tub with long⁴ tail at Adam P. Goucher's Catagolue
• 12.70 at Heinrich Koenig's Game of Life Object Catalogs