One per generation

One per generation
x = 17, y = 15, rule = B3/S23 8b2o$7b2o$9bo$11b2o$10bo2$9bo2b2o$b2o5b2o4bo$2o5bo5bo$2bo4bobo3b2o$4bo 2bo4b2obo$4b2o7b2o$8bo4bob2o$7bobo2bob2o$8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
View static image
Pattern type	Wickstretcher
Number of cells	44
Bounding box	17 × 15
Direction	Diagonal
Period	4
Speed	c/4
Discovered by	Nicolay Beluchenko
Year of discovery	2005
Rules Outer-totalistic rules B3/S23 – B38/S2378 # of rules 23 = 8 Isotropic rules B3-y/S2-n3-eky – B34cinqwyz5-aknq6-cn7e8/S234ceiqtz5-ejqy6-kn78
Pattern files Plaintext onepergeneration.cells RLE onepergeneration.rle

One per generation is a 44-cell double tubstretcher that grows by exactly 1 cell per generation. It was created by Nicolay Beluchenko in September 2005 based on his tubstretcher modification of crab and a lightweight spaceship. It was made one cell smaller by David Bell.

In July 2019, Chris Cain assembled a pattern based on one per generation, with the additional feature that from generation 47 onwards, its population count is exactly equal to its generation count, as shown below:

x = 53, y = 54, rule = B3/S23 41bo$40bo$36bo3b3o$34b2o$35b2o11$47bobo$47b2o$48bo3$27b2o$26b2o$28bo 22bo$30b2o5bo7bo4bo$29bo6b2o6bo5b3o$36bobo5b3o$28bo2bo$20b2o5b2o2bobo$ 19b2o5bo5bobo$21bo4bobo4bobo$23b2o2bo6bo$23b2o$27bo$26bobo$27bobo$3bo 24bobo$3b2o24bo$2bobo19b2o$23b2o21b3o$25bo20bo$47bo$b2o$obo$2bo2$24b2o 21b2o$23bobo19b2ob2o$15b2o8bo12b2o5b4o$14bobo21bobo5b2o$16bo21bo2$23b 2o$22bobo$24bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 10 THUMBSIZE 2 LOOP 100 ZOOM 6 WIDTH 800 HEIGHT 380 PAUSE 3 ]]

One per generation linear growth (click above to open LifeViewer) RLE: here Plaintext: here

External links

• One per generation at the Life Lexicon
• One cell per generation in OCA (discussion thread) at the ConwayLife.com forums
• Grow-By-One Pattern at Game of Life News. Posted by Heinrich Koenig on September 10, 2005.