OCA:Geology

From LifeWiki
(Redirected from OCA:B3578/S24678)
Jump to navigation Jump to search
Geology
x=64, y = 64, rule = B3578/S24678 ! #C [[ THEME Inverse ]] #C [[ RANDOMIZE2 RANDSEED 1729 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
Rulestring 24678/3578
B3578/S24678
Rule integer 240040
Character Chaotic
Black/white reversal B3578/S24678
Strobing dual B01246/S0135
Checkerboard dual B13-e4c5-c7/S023c4-e5e68
Radiation.png This article is a stub. You can help LifeWiki by expanding it.

Geology is a Life-like cellular automaton with rulestring B3578/S24678.

This rule treats black cells on white backgrounds the same as white cells on black backgrounds, and is therefore self-complementary under black/white reversal. It is a very well-balanced and chaotic rule that forms large "continents" of live cells surrounded by chaos at a roughly 50% density, but they eventually erode away into smaller "islands". Nevertheless, black regions can be stabilized in various ways.

x = 23, y = 22, rule = B3578/S24678 3bo$b3o2b2o2b2o2b2obo$2bob13obo$2bob12o2bo$3b17o$2b18o$2b17o$3b16o$3b 17o$2b18o$2b17o$3b16o$3b17o$ob18o$2ob16o$2b17o$2bob16o$4b16o$4bo2b2o2b 2o2b2o2bob2o$21bo$20bobo$21bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 WIDTH 480 HEIGHT 400 ]]
A stabilization of a black region, illustrating various ways to stabilize the corners
(click above to open LifeViewer)

Spaceships

There are known spaceships of sixteen speeds[1]

  • orthogonal: c/2(, 2c/4, 26c/52), c/3, c/4, c/5, 2c/5, c/6, c/7,[2] 2c/7,[3][4] 3c/7,[5][4] 4c/11
  • diagonal: c/3, c/4, c/5, c/6, c/7
  • oblique: (2,1)c/5[6]
x = 81, y = 30, rule = B3578/S24678 5b4o14b4o11b3ob3o10bo3bo10b3o2b3o$3bobo2bobo13b2o11b2obobob2o8b2obob2o 8b2obo2bob2o$b2o8b2o8b8o7b5ob5o6b6obo7bobo2b2o2bobo$2b2obo2bob2o8b3ob 2ob3o6bob2o3b2obo7bo4b2o8b3ob2ob3o$b2obo4bob2o8b8o8b3o3b3o8bo2bob2o11b 4o$bobo6bobo7bob6obo26b3o12b6o$bo2bo4bo2bo9b6o10bo5bo9bo4b2o9bob4obo$o bobo4bobobo7bob4obo25bo5bo11b4o$22b6o28b3o$24b2o46bo2bo$71b6o$72b4o$ 72bo2bo$73b2o$72b4o$72bo2bo$71b6o$70bob4obo$73b2o2$73b2o$68bo2b6o2bo$ 68bobo6bobo$68bo10bo$67b2obo6bob2o$68b2o8b2o$67b2obo6bob2o$67bo2bo6bo 2bo$69b2o6b2o$68b2o8b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 WIDTH 1000 ]]
Orthogonal c/2 spaceships
(click above to open LifeViewer)
x = 109, y = 31, rule = B3578/S24678 5b3o12b2ob2o8bobo3bobo9b2o7b2o12bo14b2o11b2ob2o$4b5o12bobo9b3o3b3o8bo 2bo5bo2bo8b3ob3o10b4o10bo3bo$3bobobobo9b2obob2o6bobobobobobo8b2o7b2o 10bo3bo12b2o9b2o2bo2b2o$bo2bo3bo2bo6b9o5bo3bobo3bo7bobob2ob2obobo7bo2b 3o2bo9b4o9b2obob2o$2o9b2o8b3o10b3ob3o11bo2bobo2bo11b2ob2o11bo2bo11bobo $o4b3o4bo21b3ob3o10b3obobob3o9bob3obo24b2ob2o$bo2b5o2bo21b2o5b2o11bo5b o12bo3bo10b6o10b3o$6bo26b3o3b3o7bobo3bobo3bobo8bobobo10bob2obo9b5o$2bo 2bobo2bo22b3o3b3o9b4o3b4o8b4ob4o10b2o11b5o$2b9o24b2ob2o10bobobo3bobobo 7b9o7b8o6b9o$2b2o5b2o26bo33b7o8b8o7b7o$2b2obobob2o43b2ob2o13b5o8bo2b4o 2bo6b2obob2o$2b4ob4o23b3ob3o32b3o12b4o8bo7bo$4bo3bo25b2o3b2o30bob3obo 8b8o9bobo$3b7o23bob5obo29bob3obo10b4o10b5o$2bo7bo21b4obob4o29b5o9bob4o bo10bo$2b2o5b2o21bo2bo3bo2bo31bo11b8o$3b7o63b3o10bob4obo$5b3o26b3ob3o 30b7o8bob4obo$4b5o24b3o3b3o30b5o11b4o$5b3o24bob3ob3obo28bo2bo2bo8bob4o bo$4b2ob2o23bob2o3b2obo28bo2bo2bo8bob4obo$4bobobo25bo5bo31bobobo9b3o2b 3o$5b3o25bobo3bobo32bo11bo2b2o2bo$5b3o79b6o$33b3o3b3o46b4o$89b2o2$87bo b2obo$87b6o$89b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 WIDTH 1000 ]]
Orthogonal spaceships of speeds 2c/5, 4c/11, c/3, c/4, c/5, c/6, and c/7[2]
(click above to open LifeViewer)
x = 324, y = 68, rule = B3578/S24678 49bo187bobo$16bob2o5bo23b2o12bobo7bo30b3o8b2o20b2o9b3ob2obo19bo2b3o17bo37bo4b2o13bo10bo47b4ob3o$o2b2o5bo2bo3bob2o6b2o19b2o2bo9b3o8b2o2b2o7bo15bob3o7b3obo9bo8bo3bo8b2o3b2o17bo2bobobo3b4o10b2o15bo2bo12b2obob4o4bo10b4ob3o2b6o4bo10b6o13bobo2bo3bo3b5o$2o9bo2bobo3b2o4b3ob2obo15b4obo2bo4bob2obobo2bo2b4obob2obo2b2o3b2o4b4ob3o5b3o2bob2obo3b2obo8b2obo4b4o2bo4b2o3bo4bobob3ob2ob5o3b7o2bob3o3b3obo6b2o3b2o7b7o4bob2o2bobob2o2bo2b2obobo2bobobo2bo2b2o10b2o2b4o3bo2bo2bobobobobobob6ob2o$5obo4b5obobobobob5o3bo7bo2b3obob4o3b3obob2o2b2o4b2o7b3obo4b3o5bo2b3o2bo4b3ob2o4bob4o2bo4b4obo4b8o5bo3bob4obo2b2o2b3ob5o2b2o5b2ob2o2bob6obo5bo2b3o3bob2o3b3ob2obo5bob2o3b2obo3b4obob2ob3obob3o4bo3bob6o2b2o3b2obob4obo2b4o4bo$2b3o2bo2b3o2bo5b2o3b2o2b4o2b3ob2obo2bob2o2b2o2bob2o2bob4obobo4bo2bob2obo3b9o2b2ob2obobo4bobobo2b2obobo6b3o2b2o3b4o2bob2o6b2ob2o3bob5ob3o2bob4ob2o6b2o2b2o2bobobob4o2b4o2bo2b2obobo3bo2b5ob2o2b5obobo3b4obo2bob3ob4ob4o2b3obob5obobobob5o4b3o3b6ob3o$4bobo2b2o3bo2bo3b2obo2bobob2o2b2o4b2ob2obo4b2o3b3o2b2obo2bo4b2o2b2o3bo4bob4obo6bobobo3b5obob2ob5o2bo2bo2b2o4bob2o3b3o4bo2bo2b2o5bo2bob2o2b3o3bo5bob3o2b3o5b3o4bo3bob3o2b3ob2ob3ob5obo2bob6o2b3ob16o6b2ob3obo2b2ob2o4b2ob3obo7bo3b4o3bo$o2bob3o3b2o3b3obo2bo5b8o3bo24b3o4bob2ob2o2b2o7b4obobob2o3b2o2bo3b4o2b2ob4o4bo3bo3bo4bo4b2o4bo3b7o2b6ob4o2bob3o5bo2b2o6bo6b2ob2ob5o6b13o2bob5ob3obo3b11ob2o3bo4bo3b2obob2o2bobo2bo4b7obobobob4obobobo$b11o2b2obob17o3b2o24b3o5bo5bobo4bobo2b3obo4b2o2bo2b4o3b2ob3o4bo22bo2b3o2bo2b2obo3bob2o2b5o25b4ob2ob27obo2b7obob4ob13o12bobo2b2o2b4o5b3obo2bo2b3o2b7obobo$o2bob3o3b2o3b3obo2bo5b8o3bo24b3o4bob2ob2o2b2o7b4obobob2o3b2o2bo3b4o2b2ob4o4bo3bo3bo4bo4b2o4bo3b7o2b6ob4o2bob3o5bo2b2o6bo6b2ob2ob5o6b13o2bob5ob3obo3b11ob2o3bo4bo3b2obob2o2bobo2bo4b7obobobob4obobobo$4bobo2b2o3bo2bo3b2obo2bobob2o2b2o4b2ob2obo4b2o3b3o2b2obo2bo4b2o2b2o3bo4bob4obo6bobobo3b5obob2ob5o2bo2bo2b2o4bob2o3b3o4bo2bo2b2o5bo2bob2o2b3o3bo5bob3o2b3o5b3o4bo3bob3o2b3ob2ob3ob5obo2bob6o2b3ob16o6b2ob3obo2b2ob2o4b2ob3obo7bo3b4o3bo$2b3o2bo2b3o2bo5b2o3b2o2b4o2b3ob2obo2bob2o2b2o2bob2o2bob4obobo4bo2bob2obo3b9o2b2ob2obobo4bobobo2b2obobo6b3o2b2o3b4o2bob2o6b2ob2o3bob5ob3o2bob4ob2o6b2o2b2o2bobobob4o2b4o2bo2b2obobo3bo2b5ob2o2b5obobo3b4obo2bob3ob4ob4o2b3obob5obobobob5o4b3o3b6ob3o$5obo4b5obobobobob5o3bo7bo2b3obob4o3b3obob2o2b2o4b2o7b3obo4b3o5bo2b3o2bo4b3ob2o4bob4o2bo4b4obo4b8o5bo3bob4obo2b2o2b3ob5o2b2o5b2ob2o2bob6obo5bo2b3o3bob2o3b3ob2obo5bob2o3b2obo3b4obob2ob3obob3o4bo3bob6o2b2o3b2obob4obo2b4o4bo$2o9bo2bobo3b2o4b3ob2obo15b4obo2bo4bob2obobo2bo2b4obob2obo2b2o3b2o4b4ob3o5b3o2bob2obo3b2obo8b2obo4b4o2bo4b2o3bo4bobob3ob2ob5o3b7o2bob3o3b3obo6b2o3b2o7b7o4bob2o2bobob2o2bo2b2obobo2bobobo2bo2b2o10b2o2b4o3bo2bo2bobobobobobob6ob2o$o2b2o5bo2bo3bob2o6b2o19b2o2bo9b3o8b2o2b2o7bo15bob3o7b3obo9bo8bo3bo8b2o3b2o17bo2bobobo3b4o10b2o15bo2bo12b2obob4o4bo10b4ob3o2b6o4bo10b6o13bobo2bo3bo3b5o$16bob2o5bo23b2o12bobo7bo30b3o8b2o20b2o9b3ob2obo19bo2b3o17bo37bo4b2o13bo10bo47b4ob3o$49bo187bobo3$321bo$267bobo51b2o$265bo2bo3bo18bo24bo5b2o$265b2obob2ob2o14bobobo17b2obob2o4b2o$264b10obo6bo4b2ob3o10b2o8bob2obo2b3o$265bo4b4ob2o5bo2b3o2b3ob2obo4bo2bo9bobo2b3o$270bo3bo2b4obob4o2b5o2b2o2bo3bo4bo2b3o$268b2ob3obo4b15obobobo2bo2bob2o2b4obo$266bo2b5ob21o9bo2b2obobo2bo$266bobo6b17obobobo4b3obob4obo$266bobo6b17obobobo4b3obob4obo$266bo2b5ob21o9bo2b2obobo2bo$268b2ob3obo4b15obobobo2bo2bob2o2b4obo$270bo3bo2b4obob4o2b5o2b2o2bo3bo4bo2b3o$265bo4b4ob2o5bo2b3o2b3ob2obo4bo2bo9bobo2b3o$264b10obo6bo4b2ob3o10b2o8bob2obo2b3o$265b2obob2ob2o14bobobo17b2obob2o4b2o$265bo2bo3bo18bo24bo5b2o$267bobo51b2o$321bo2$202bo27bo3bo3bo$201b2o15b2o9b2o3bob3obob2o9bobo34bo21bo$174b4o7b3o3b2o2bo5bo15bobobobo4bob3ob5o2b4obobo2b2o2bo2b3o2b2obo4bo6b2o2bo2bobob2o3bo10b2o5b3o5bo$168b3o2bo2b3o3b2obob2o3b2obo6b2o8bo3bo3b3ob8o2bob4ob6obobo2b3obob5obo2bob2o4b2obob5ob2o11b2obobo2b2o2b2o7b2o$166bobo2bobobo3b2o2b14obob3obo2b8ob2obob4o6b6obobobo4bob2ob2o3b2obobo2b2o4bo4bo2bob5ob2obo2b2obo4b2o2bob2ob3ob2o6b2o$167bob3ob3o2b5o3b3o2b13o2b10o3b2o3bo2b2obo2b2o4bo4bobo3bo3b4o2bobobo3bobobobo4b3ob3o3b6o2bo2bo2bobo4b5o2b5obo$169b2ob9obobob20o7b4obo5b5ob2obo3bobo2bobo5b3o3bo5bobobobo2b3o3b2obo2b2o6b4ob2o2bob2o6b6o2b4obo$169b2ob9obobob20o7b4obo5b5ob2obo3bobo2bobo5b3o3bo5bobobobo2b3o3b2obo2b2o6b4ob2o2bob2o6b6o2b4obo$167bob3ob3o2b5o3b3o2b13o2b10o3b2o3bo2b2obo2b2o4bo4bobo3bo3b4o2bobobo3bobobobo4b3ob3o3b6o2bo2bo2bobo4b5o2b5obo$166bobo2bobobo3b2o2b14obob3obo2b8ob2obob4o6b6obobobo4bob2ob2o3b2obobo2b2o4bo4bo2bob5ob2obo2b2obo4b2o2bob2ob3ob2o6b2o$168b3o2bo2b3o3b2obob2o3b2obo6b2o8bo3bo3b3ob8o2bob4ob6obobo2b3obob5obo2bob2o4b2obob5ob2o11b2obobo2b2o2b2o7b2o$174b4o7b3o3b2o2bo5bo15bobobobo4bob3ob5o2b4obobo2b2o2bo2b3o2b2obo4bo6b2o2bo2bobob2o3bo10b2o5b3o5bo$201b2o15b2o9b2o3bob3obob2o9bobo34bo21bo$202bo27bo3bo3bo2$310b2o$279bo17b2o6b2o2bo$272b6o2b2o10bo3bo2bo5b2o3b3o$271b7o3bobo3bo3b4o2b2obob2ob7o3bob2ob2o$270bo4b2o2bob2ob3o3b3obob2ob4o4b7ob2o4bo$269b2o2bobo2b4o3bobob8obob11obo3b2ob2o2bo$269b2obob2o2b2o2b8obo4bo2b13o4b2o2b4o$269b2o2bobo2b4o3bobob8obob11obo3b2ob2o2bo$270bo4b2o2bob2ob3o3b3obob2ob4o4b7ob2o4bo$271b7o3bobo3bo3b4o2b2obob2ob7o3bob2ob2o$272b6o2b2o10bo3bo2bo5b2o3b3o$279bo17b2o6b2o2bo$310b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 3 WIDTH 1000 ]]
Orthogonal spaceships of odd[5] and even-symmetric[4] 3c/7, and even-[3] and odd-symmetric[4] 2c/7
(click above to open LifeViewer)
x = 101, y = 25, rule = B3578/S24678 14b3o16b4o18bobo19b4o14bobo$13b3o13bo3b3o21b2o19bobo14b3o$12bo3b2o12b 4ob2o13b4ob2o19bo2bobobo11b4o$13bobobo12b2obobo15bo4bobo16b4o2bobo10bo b5o$10b2o5bo9b3ob3o16bobo21b3ob2obobo9bobob3o$8b3o16bob7o11bobobo4bo 18b8o10bo2bob3o$25b8obo12bo2b3obobo17b2ob2o14b2o2bo$9b3o14b6o2bo11bo2b 2ob2ob2o16b3o4bobo11b3o$6bob2o17b4obo14bob4obobo14bo2b2obo2bo$9bo15bob 2o2b2o13b6obo16bo4bobo$6bo20bobo16b4o19b2ob2o$6b2o20b2o16bob3ob2o15bob obobo$5bob2o38b3obo15b2obo$2b2o2b2o59bobob2o$bobo60b3obob2o$obobo58bo 3bo3bo$b2o62bobo$64b3o$62bob5obo$62b4ob3o$62b2obo$59b2ob2obo$59b3o$60b obo$57b5o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 WIDTH 1000 ]]
Diagonal spaceships of speeds c/3, c/4, c/5, c/6, and c/7
(click above to open LifeViewer)
x = 60, y = 95, rule = B3578/S24678 3bo$2b3o$b2obo$2obo$2bob2o$o$3o2b2o$2b3o$3b2obobo$2bob4o$2bo3bobo$5b4o$8b2o$6bobobo$8bob5o$10b2obobo$8bobo2b3o$8b5ob2o$10bobo2bo$12bo$15b4o$15bobo$14b4o2$16bobo$16bo2b3o$17b2o4bo$18bo3bo$18bob3o$19bobobo$21bo$19b2obo$19b2o4bo$19bo2bob2o$19bob4o$21b3obo$21b2obo$23b3o$22bob3o$23b2o$22bo2b3o$22bo2bobo$27bo$25bo2bo$26bobo$25b2ob2o$27b3o$25bob3o$28bo$29bo$26bob2obobo$29bob2o$30b5o$30b4obo$32bo2bo$35b2o$30bo3bob2o$38b2obo$36b6o$37b3obo$37b2o2bo$37b3o$39b3o$40b2o$41b2o$39bobobob2o$39b3obo2bo$39bobo2bo$43b2obo$44b4o$44b4o$48b2o$49bo$47b2o$47bo2$48b2o$50bo$51bo$51bo$50bo2bo2$51bob2o$51b2obo$51b3obo$52bob2o$52b3obo$52bo3b2o$56b2o$56b2o$56bo$57bo$58bo$57bobo$57bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 9 WIDTH 576 HEIGHT 891 AUTOSTART GPS 6 TRACK -1/5 -2/5 ]]
(2,1)c/5[6]
(click above to open LifeViewer)
Catagolue: here

Infinite growth

The 26c/52o ships have large sparks, thus it's possible to combine two of them to make a puffer.

x = 13, y = 29, rule = B3578/S24678 9bo$10b2o$3b2o5bo$5b3obob2o$9o2bo$b9o$b9o$9o2bo$5b3obob2o$3b2o5bo$10b 2o$9bo6$9bo$10b2o$3b2o5bo$5b3obob2o$9o2bo$b9o$b9o$9o2bo$5b3obob2o$3b2o 5bo$10b2o$9bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 6 X 64 WIDTH 1000 HEIGHT 400 GPS 30 AUTOSTART T 0 PAUSE 2 T 260 PAUSE 1 LOOP 261 ]]
c/2 puffer
(click above to open LifeViewer)

References

  1. ↑ GliderDB Database
  2. ↑ 2.0 2.1 saka (March 4, 2021). Message in #naturalistic on the Conwaylife Lounge Discord server, in which the smallest w11o c/7 in Geology was first found
  3. ↑ 3.0 3.1 LaundryPizza03 (September 11, 2020). Re: B3578/S24678, in which the smallest width-14 even-symmetric 2c/7 (at 812 cells) was found
  4. ↑ 4.0 4.1 4.2 4.3 DroneBetter (May 19, 2024). Re: B3578/S24678, in which the smallest width-13 odd-symmetric 2c/7 (at 276 cells) was found
  5. ↑ 5.0 5.1 saka (March 5, 2021). Message in #naturalistic on the Conwaylife Lounge Discord server (further down they explain it was found with qfind)
  6. ↑ 6.0 6.1 lordlouckster (December 9, 2023). Message in #naturalistic on the Conwaylife Lounge Discord server, in which the first (2,1)c/5 was found

External links

Retrieved from "https://conwaylife.com/w/index.php?title=OCA:Geology&oldid=151134"