User:Confocal/B23678/S3478

B23678/S3478
Rulestring	3478/23678 B23678/S3478
Rule integer	209356
Character	Explosive
Black/white reversal	B23678/S3478
Strobing dual	B0145/S01256
Checkerboard dual	B1e2-ak3acjkr4cjnry5einqy6-ak7c/S01e2ak3acjkr4-ejnry5einqy6ak7c8

Rule from here: https://conwaylife.com/forums/viewtopic.php?p=168651#p168651

High periods in small bounded universes

660,426

A period-660426 oscillator on the 13 × 5 torus:

x = 13, y = 5, rule = B23678/S3478:T13,5 o2bo$bo5bo4bo$5bo4bo$bo5bo4bo$o2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 WIDTH 720 THUMBSIZE 2 ZOOM 42 THEME MCell ]]

phase T+0, population 12 (click above to open LifeViewer)

x = 13, y = 5, rule = B23678/S3478:T13,5 3ob2ob6o$2obob5ob2o$b7ob4o$2obob5ob2o$3ob2ob6o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 WIDTH 720 THUMBSIZE 2 ZOOM 42 THEME MCell ]]

phase T+25401, population 53 (click above to open LifeViewer)

1,957,896

A period-1957896 oscillator on the 18 × 12 torus consisting of four 9 × 6 parts complemented in a checkerboard way:

x = 18, y = 12, rule = B23678/S3478:T18,12 3bo5b3ob5o$4bo4b4ob4o$o7bob7o$bo7bob7o$o2bo6b2ob5o$7bob7obo$3ob5o3bo$ 4ob4o4bo$b7obo7bo$ob7obo$b2ob6o2bo$7obo7bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 420 WIDTH 600 THUMBSIZE 2 ZOOM 24 THEME MCell ]]

phase T+0 (click above to open LifeViewer)

x = 18, y = 12, rule = B23678/S3478:T18,12 4bob7obo$3bob7obo$4b4ob4o4bo$4b3ob5o3bo$2obo7bob5o$5o2bo6b2obo$4obo7bo b3o$3obo7bob4o$4o4bo4b4o$4o3bo5b3obo$2bob7obo$5b2ob6o2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 420 WIDTH 600 THUMBSIZE 2 ZOOM 24 THEME MCell ]]

phase T+108772 (click above to open LifeViewer)

2,308,584

A p2308584 oscillator on the 9 × 12 torus where the "bottom" half is the complement of the "top" half:

x = 9, y = 12, rule = B23678/S3478:T9,12 2o$o3bo2bo$2bo4bo2$o$8bo$2b7o$b3ob2obo$2ob4obo$9o$b8o$8o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 42 THEME MCell ]]

phase T+0 (click above to open LifeViewer)

x = 9, y = 12, rule = B23678/S3478:T9,12 ob2ob3o$ob4ob2o$9o$8o$b8o$7b2o$bo2bo3bo$bo4bo2$8bo$o$7o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 42 THEME MCell ]]

phase T+192382 (click above to open LifeViewer)

3,320,482

A period-3320482 oscillator on the 18 × 12 torus consisting of four 9 × 6 parts complemented in a checkerboard way:

x = 18, y = 12, rule = B23678/S3478:T18,12 5bo3b5ob3o$o6bo2b6obo$9b9o$bobobo3bobobob3o$2bo5b3ob5o$3bo2bo2b3ob2ob 2o$5ob3o5bo$b6ob2o6bo$9o$obobob3obobobo$2ob5o3bo5bo$3ob2ob2o3bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 420 WIDTH 600 THUMBSIZE 2 ZOOM 24 THEME MCell ]]

phase T+0 (click above to open LifeViewer)

x = 18, y = 12, rule = B23678/S3478:T18,12 9o$b6ob2o6bo$5ob3o5bo$3bo2bo2b3ob2ob2o$2bo5b3ob5o$bobobo3bobobob3o$9b 9o$o6bo2b6obo$5bo3b5ob3o$3ob2ob2o3bo2bo$2ob5o3bo5bo$obobob3obobobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 420 WIDTH 600 THUMBSIZE 2 ZOOM 24 THEME MCell ]]

phase T+1660241 (click above to open LifeViewer)

3,817,512

A p3817512 oscillator on the 9 × 12 torus where the "bottom" half is the complement of the "top" half:

x = 9, y = 12, rule = B23678/S3478:T9,12 4bobo$5bobo$b2o2$8bo$2b2o$4obob2o$5obobo$o2b6o$9o$8o$2o2b5o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 42 THEME MCell ]]

phase T+0 (click above to open LifeViewer)

x = 9, y = 12, rule = B23678/S3478:T9,12 4ob4o$7o$obo$bobo$6b2o2$4bo$7b2o$bob6o$obob5o$6o2bo$9o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 42 THEME MCell ]]

phase T+212084 (click above to open LifeViewer)

4,289,688

A period-4289688 oscillator on the 18 × 12 torus consisting of four 9 × 6 parts complemented in a checkerboard way:

x = 18, y = 12, rule = B23678/S3478:T18,12 9b9o$5bo3b5ob3o$2bo6b2ob6o$3bo5b3ob5o$4bo2bob4ob2obo$3bo3b5ob3o$9o$5ob 3o5bo$2ob6o2bo$3ob5o3bo$4ob2obo4bo2bo$3ob3o5bo3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 420 WIDTH 600 THUMBSIZE 2 ZOOM 24 THEME MCell ]]

phase T+0 (click above to open LifeViewer)

x = 18, y = 12, rule = B23678/S3478:T18,12 3bo3b5ob3o$9o$5ob3o5bo$2ob6o2bo$3ob5o3bo$4ob2obo4bo2bo$3ob3o5bo3b2o$9b 9o$5bo3b5ob3o$2bo6b2ob6o$3bo5b3ob5o$4bo2bob4ob2obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 420 WIDTH 600 THUMBSIZE 2 ZOOM 24 THEME MCell ]]

phase T+357474 (click above to open LifeViewer)

6,192,940

A period-6192940 oscillator on the 13 × 5 torus:

x = 13, y = 5, rule = B23678/S3478:T13,5 6bo$5bo2bobo$bobob2obobo2$8bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 WIDTH 720 THUMBSIZE 2 ZOOM 42 THEME MCell ]]

phase T+0, population 12 (click above to open LifeViewer)

x = 13, y = 5, rule = B23678/S3478:T13,5 ob2ob8o$13o$2obobo2bobobo$2obob2ob5o$6ob6o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 WIDTH 720 THUMBSIZE 2 ZOOM 42 THEME MCell ]]

phase T+3096470, population 53 (click above to open LifeViewer)

10,690,110

A period-10690110 oscillator on the 13 × 10 torus where the "bottom" half is the complement of the "top" half:

x = 13, y = 10, rule = B23678/S3478:T13,10 2bo$3bo2b2o$o3bo2b2o2bo$bo5bo2$2ob10o$3ob2o2b5o$b3ob2o2b2obo$ob5ob5o$13o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 720 THUMBSIZE 2 ZOOM 42 THEME MCell ]]

phase T+0 (click above to open LifeViewer)

x = 13, y = 10, rule = B23678/S3478:T13,10 4bo5bo$o2b2o2bo3bo$4b2o2bo$9bo$13o$4ob5ob2o$b2o2b2ob3obo$4o2b2ob4o$9ob3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 720 THUMBSIZE 2 ZOOM 42 THEME MCell ]]

phase T+5345055 (click above to open LifeViewer)

109,830,630

A period-109830630 oscillator on the 13 × 10 torus where the "bottom" half is the complement of the "top" half:

x = 13, y = 10, rule = B23678/S3478:T13,10 3bo$bo3b2o$bobo$2b2o2b3o$o4bo$3ob9o$ob3o2b6o$obob9o$2o2b2o3b4o$b4ob7o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 720 THUMBSIZE 2 ZOOM 42 THEME MCell ]]

phase T+0 (click above to open LifeViewer)

x = 13, y = 10, rule = B23678/S3478:T13,10 7ob5o$5ob3o2b2o$5obob5o$6o2b2o$4ob4ob3o$7bo$5bo3b2o$5bobo$6b2o2b3o$4bo4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 720 THUMBSIZE 2 ZOOM 42 THEME MCell ]]

phase T+4224255 (click above to open LifeViewer)

x = 13, y = 10, rule = B23678/S3478:T13,10 7obob3o$2b6o2b2o$6ob4obo$9bo$7bo3b2o$7bobo$2o6b2o2bo$6bo4bo$9ob3o$7ob3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 720 THUMBSIZE 2 ZOOM 42 THEME MCell ]]

phase T+844851 (click above to open LifeViewer)

External links

• https://conwaylife.com/forums/viewtopic.php?p=168651#p168651
• https://conwaylife.com/forums/viewtopic.php?p=168962#p168962
• https://conwaylife.com/forums/viewtopic.php?p=168805#p168805