Jagged lines

Jagged lines
x = 125, y = 67, rule = B3/S23 42bo13bo11bo13bo$41b3o11b3o9b3o11b3o$40b2obo5bo4b2obo9bob2o4bo5bob2o$ 40b3o5b3o3b3o11b3o3b3o5b3o$41b2o4bo2b2o3b2o11b2o3b2o2bo4b2o$47bo3bo21b o3bo$48b2obo21bob2o$50b2o21b2o2$55b3o9b3o$33b3o5b3o11bo2bo7bo2bo11b3o 5b3o$32b5o3bo2bo11bo13bo11bo2bo3b5o$31b2ob3o6bo11bo13bo11bo6b3ob2o$4o 5b2o21b2o9bo12bo11bo12bo9b2o21b2o5b4o$o3bo3b2ob2o30bo6bo23bo6bo30b2ob 2o3bo3bo$o8b4o29bo5b2obo21bob2o5bo29b4o8bo$bo8b2o36bo2bo21bo2bo36b2o8b o2$13bo30b2o5bo21bo37bo$3b2o8b2o12bo17bo4bobo19bobo22bo12b2o8b2o$2bo2b o9bo12b2o19bo25bo19b2o12bo9bo2bo$2bo2bo4b5o12b2o67b2o12b5o4bo2bo$2b2ob 2o3b4o97b4o3b2ob2o$4b2o4bo103bo4b2o3$11b3o97b3o$4o6b5o95b5o6b4o$o3bo4b 2ob3o95b3ob2o4bo3bo$o9b2o25b2o47b2o25b2o9bo$bo34b4o45b4o34bo$19b2o14b 2ob2o45b2ob2o14b2o$18b4o14b2o19b3o5b3o19b2o14b4o$17b2ob2o34bo2bo5bo2bo 34b2ob2o$18b2o39bo5bo39b2o$59bo5bo$59bo5bo$23bo34bo7bo34bo$21b4o75b4o$ 20bob5o71b5obo$19b2o6bo27b2o11b2o27bo6b2o$20b3obo3bo25b2ob3o5b3ob2o25b o3bob3o$21b3o3bo27b5o5b5o27bo3b3o$26bo29b3o7b3o29bo2$19b2o20b3o37b3o 20b2o$18b4o4b4o11bo41bo11b4o4b4o$17b2ob2o4bo3bo11bo39bo11bo3bo4b2ob2o$ 2b4o5b2o5b2o6bo71bo6b2o5b2o5b4o$2bo3bo3b2ob2o12bo69bo12b2ob2o3bo3bo$2b o8b4o21b3o47b3o21b4o8bo$3bo8b2o22bo51bo22b2o8bo$37bo49bo2$5bo6bo99bo6b o$4bo7b2o17b3o57b3o17b2o7bo$4bo6b2o18bo61bo18b2o6bo$4b2o4b2o20bo59bo 20b2o4b2o$6bo111bo$8b2o105b2o$26b3o67b3o$26bo71bo$2b4o21bo69bo21b4o$2b o3bo13bo83bo13bo3bo$2bo16bo85bo16bo$3bo15bo3bo77bo3bo15bo$19b4o79b4o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
View static image
Pattern type	Miscellaneous
Number of cells	637
Bounding box	125 × 67
Static symmetry	C1
Discovered by	Dean Hickerson
Year of discovery	2005
Rules Outer-totalistic rules B3/S23 – B3/S238 # of rules 21 = 2 Isotropic rules B3/S23 – B3/S236i8
Pattern files RLE jaggedlines.rle

Jagged lines is a pattern constructed by Dean Hickerson in May 2005 that uses puffers to produce a line of bi-blocks that weaves back and forth in a complicated way.

In 2019, Dean Hickerson discovered that modifications to this pattern could create the variant patterns he dubbed mountain ranges. The size, slope, and composition of the "mountains" is highly variable and depends on the relative positions and phases of the rakes used to initiate the pattern.

The first bi-block produced lies on the initial pattern's line of symmetry (when the pre-block is excluded). After an initial period of irregularity, it stabilises, and another bi-block on this line of symmetry is produced on generation 11*4ⁿ+4224*(-1)ⁿ-4187, for all integer n≥6, followed by one more within the next 8160 generations for n=6 and three more thereafter.

Gallery

Generation 10000 of this pattern, with the namesake "jagged line" of bi-blocks circled in green. The other lines are made up of gliders.

External links

• Jagged lines at the Life Lexicon
• New Transcendental Patterns at Game of Life News. Posted by Heinrich Koenig on May 05, 2005.
• Jagged lines at Dean Hickerson's Life page