Amphisbaena

Amphisbaena
x = 7, y = 5, rule = B3/S23 obo$2obo$3bo$3bob2o$4bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]]
View static image
Pattern type	Strict still life
Number of cells	11
Bounding box	7 × 5
Frequency class	33.3
Static symmetry	Unspecified
Discovered by	Unknown
Year of discovery	Unknown
Rules Outer-totalistic rules B/S23 – B35678/S012345678 # of rules 212 = 4096 Isotropic rules B/S2-n3n – B2ikn34-jnr5678/S012345678
Glider synthesis Fewest gliders 6 Catagolue-generated RLE synthesis Uploaded synthesis RLE amphisbaena_synth.rle
Pattern files Plaintext amphisbaena.cells RLE amphisbaena.rle
Identifiers apgcode xs11_321eg8o Niemiec ID 11.15 Pentadecathlon ID 11.41

Amphisbaena (or hook trans-line hook) is a small still life consisting of an integral with two hooks.

Amphisbaena is the second-rarest 11-cell still life, with only long⁵ snake being rarer.

Glider synthesis

Amphisbaena was the only 11-cell still life without a known synthesis of six gliders or fewer. There has been much effort with the target of synthesizing the still life with 6 gliders, leading to the development of at least ten 7-glider syntheses. Finally, on February 14, 2023, a 6-glider synthesis of the amphisbaena was found by Carson Cheng, showing that every still life of no more than 11 cells can be synthesized with no more than 6 gliders.

x = 43, y = 36, rule = B3/S23 2bo$obo$b2o13$35bobo$16b3o16b2obo$16bo21bo$17bo20bob2o$2b3o34bobo$4bo$3bo16b2o$19b2o$21bo2$6b2o$7b2o$6bo6$40b3o$40bo$41bo! #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 99 PAUSE 2 LOOP 100 ]] A 6G synthesis (click above to open LifeViewer)

x = 42, y = 23, rule = B3/S23 5bobo$6b2o$6bo6$35bobo$28b2o5b2obo$28bobo7bo$14b2o12bo9bob2o$13bobo23bobo$15bo2$b2o$obo$2bo$5bo6b2o$5b2o6b2o$4bobo5bo18b3o$31bo$32bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 57 PAUSE 2 LOOP 58 ]] A 7G synthesis (click above to open LifeViewer)

x = 48, y = 34, rule = B3/S23 7bo18bobo$8bo17b2o6bobo$6b3o18bo6b2o$35bo$23bo$23bobo$23b2o4$41bobo$41b2obo$44bo$44bob2o$29b3o13bobo$29bo$30bo$2b3o$4bo$3bo8$32bo$31b2o$31bobo2$b2o$obo$2bo! #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 1 T 58 PAUSE 2 LOOP 59 ]] A two-stage 8G synthesis (click above to open LifeViewer)

x = 67, y = 64, rule = B3/S23 65bo$64bo$64b3o6$39bobo$5bo33b2o12bo$3bobo34bo12bobo$4b2o7bo39b2o$14bo $12b3o4$21bo$19bobo$20b2o13bo$33b2o$34b2o4$56bobo$56b2obo$59bo$59bob2o $60bobo6$9b3o$11bo$10bo17$5b3o$7bo5b2o$6bo7b2o$13bo$61b3o$61bo$62bo$bo $b2o$obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 THEME Book ZOOM 8 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 34 PAUSE 1 T 52 PAUSE 1 T 95 PAUSE 2 T 119 PAUSE 2 LOOP 120 ]] A four-stage 12G synthesis (click above to open LifeViewer)

See also

• Egyptian walk
• Hook line long hook
• Cis-boat trans-line hook
• Trans-boat trans-line hook
• Melusine

External links

• Amphisbaena at Adam P. Goucher's Catagolue
• The 46 eleven-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 11/11-15.rle)
• 11.41 at Heinrich Koenig's Game of Life Object Catalogs
• Amphisbaena at Wikipedia (origin of name)