User:DroneBetter/4diagonal

4diagonal
x=64, y = 64, rule = B34c/S23 ! #C [[ THEME Inverse ]] #C [[ RANDOMIZE2 THUMBLAUNCH THUMBNAIL THUMBSIZE 2 GRID ZOOM 6 WIDTH 600 HEIGHT 600 LABEL 90 -20 2 "#G" AUTOSTART PAUSE 2 GPS 8 LOOP 256 ]] LifeViewer-generated pseudorandom soup
View animated image
Rulestring	23/34c B34c/S23
Character	Chaotic
Black/white reversal	B0123478/S01234-e678

4diagonal is an isotropic non-totalistic rule one transition away from life; a cell is born if its neighbours are in the configuration

Patterns

Oscillators

Periods containing oscillators not in common with Life include 2, 3, 11, 12, 32, 38 and 90. Many were found in the much more thoroughly-apgsearched rule B34c/S234c, and found to be compatible with 4diagonal.

x = 38, y = 102, rule = B34c/S23 4bo$3bobo$b3ob3o$o7bo$b3ob3o$3bobo$4bo3$2ob2o$o3bo2$o3bo$2ob2o3$4bo$2b3o$2o3bo$bo3bo$bo3b2o$2b3o$2bo4$2bobobo$2b5o$2bobobo2$3bobo$b2o3b2o$4bo$b2o3b2o5$12b3o$b2o7b2o2bo7b2o$b2o7bo2b2o7b2o$10b3o6$16b2o$16b2o5$15b3o$15bobo$15bo2bo$16bobo$16b3o4$7b3o$b2o4bo2b2o8b2o$b2o4b2o2bo8bobo$9b3o9b2o2$16b2o9b3o$16bobo8bo2b2o4b2o$17b2o8b2o2bo4b2o$29b3o4$20b3o$20bobo$20bo2bo$21bobo$21b3o5$21b2o$21b2o7$10b2ob2o$9b2o3b2o$10b2ob2o$11b3o$2b3o7bo3$11bo7b3o$10b3o$9b2ob2o$8b2o3b2o$9b2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 12 HEIGHT 1400 Y 5 AUTOSTART GPS 24 ]]

(click above to open LifeViewer)

Spaceships

On January 1, 2017, PHPBB12345 found a 16-cell c/7 spaceship, formed from two copies of half of the backend of the loafer.

x = 22, y = 9, rule = B34c/S23 20bo$19bobo$18bo2bo$19b2o$20bo$2bo5bo6bo$bobo3bobo4bobo3bo$2obo3bob2o 2b2obo3b2o$3b2ob2o8b2o2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 32 WIDTH 805 HEIGHT 420 X 1/2 Y 7/4 AUTOSTART GPS 7 TRACK 0 -1/7 ]]

(click above to open LifeViewer)

On July 19, 2022, Period1GliderGun found a c/17 spaceship with variants having both even and odd symmetry, and noted that 4diagonal was its minimal rule.

x = 36, y = 12, rule = B34c/S23 7b2o19bo$6bo2bo17bobo$6bo2bo17bobo$7b2o19bo4$b3o8b3o7b3o7b3o$b3o8b3o7b3o7b3o$o3bo6bo3bo5bo3bo5bo3bo$o2bo8bo2bo5bo2bo7bo2bo$o2bo8bo2bo5bo2bo7bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 16 WIDTH 672 Y 1 AUTOSTART GPS 17 TRACK 0 -1/17 ]]

(click above to open LifeViewer)

Two middleweight spaceships may pull a traffic light to form a 28-cell 4c/8, beating 31P8H4V0.

x = 31, y = 12, rule = B34c/S23 28bo$2bo9bo7bo6b3o$b3o7b3o5b3o5bob2o$2obo7bob2o3b2obo6b3o$3o9b3o3b3o7b2o$3o3b3o3b3o3b3o3bo3b2o$b2o3b3o3b2o5b2o2b3ob3o$7bo15b3o3bo$28bo2$25b2o$25b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 16 WIDTH 672 Y 1 AUTOSTART GPS 8 TRACK 0 -1/2 ]]

(click above to open LifeViewer)

The thinnest odd-symmetric c/5 is 13 cells wide, as opposed to 19 in Life.

Infinite growth

On July 10, 2022, Period1GliderGun found that a single twin bees shuttle with a displaced block behaves as a period-46 glider gun smaller than the smallest one known in Life.

x = 30, y = 11, rule = B34c/S23 17b2o$2o15bobo7b2o$2o17bo7b2o$17b3o4$17b3o8b2o$2o17bo8b2o$2o15bobo$17b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 AUTOSTART GPS 23 ]]

(click above to open LifeViewer)

The Schick engine's evolution differs by one cell in two iterations, so has a different apgcode, and unlike Life, it may pull a traffic light behind it to form a 12c/24 ship pair puffer.

x = 21, y = 22, rule = B34c/S23 3o3b3o3b3o3b3o$o2bobo2bo3bo2bobo2bo$o7bo3bo7bo$o7bo3bo7bo$bobobobo5bobobobo2$4bo11bo$3b3o9b3o$2b5o7b5o$3b3o9b3o$3b3o9b3o$3b3o9b3o$3bobo9bobo$3bobo9bobo$4bo11bo4$16bo$15bobo2$15b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 16 HEIGHT 700 Y 6 AUTOSTART GPS 24 TRACK 0 -1/2 ]]

(click above to open LifeViewer)

The bookend is a 46c/220 glide-symmetric dirty puffer, and occurs in about 3/113 C1 soups.

x = 4, y = 3, rule = B34c/S23 3o$o2bo$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 6 HEIGHT 700 Y 50 AUTOSTART GPS 55 TRACK 0 -23/110 ]]

(click above to open LifeViewer)

Miscellaneous

The Herschel produces another Herschel at generation 144, being a failed replicator.

External links

• 4diagonal at Adam P. Goucher's Catagolue