OCA:Vote

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Vote
x=0, y = 0, rule = B5678/S45678 ! #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 45678/5678
B5678/S45678
Rule integer 254432
Character Stable
Black/white reversal B5678/S45678
Strobing dual B01234/S0123
Checkerboard dual B1c2cn3cinqy4cny5aejkr6ei7e/S01c2-ei3cinqy4-ejr5aejkr6-cn7e8
Ambox notice.png This article needs to be expanded with: Gerard Vichniac's work on the rule as a majority voting model. (cf. Norman Margolus and Tommaso Toffoli, Cellular Automata Machines, MIT Press: Cambridge, 1987. ISBN 978-0-262-52631-9.)

Vote is a totalistic Life-like cellular automaton and a standard Gerard Vichniac voting rule.

The rule is defined as follows: a cell will be alive the next generation if and only if there are currently 5, 6, 7, 8 or 9 alive cells in its range-1 Moore neighbourhood. By including the center cell itself, the total number of neighbours is 3 × 3 = 9. Hence it has the totalistic rulestring 56789, as is used by Mirek's Cellebration. However, in the outer-totalistic birth/survival notation with 8 neighbours, birth conditions assume a dead center cell, so there are at most 8 alive neighbour cells; survival conditions assume an alive center cell, so there is one less alive neighbour cell required. Thus it is expressed as B5678/S45678, a rulestring used by Golly and LifeViewer.

Most patterns in Vote stabilize quickly into amorphous aggregates; as there is no birth on less than 5 alive neighbours, no pattern is capable of escaping its initial bounding box or bounding diamond, and spaceships and infinite growth patterns are consequently ruled out. Natural objects include still lifes of 12, 16, 17, and 19+ cells, and period-2 oscillators. It is unknown if oscillators with higher periods exist.

x = 88, y = 74, rule = B5678/S45678 b2o8b2o8b2o8b3o7b4o6b3o7b4o6b4o6b4o$4o6b4o6b4o6b5o5b6o4b5o5b6o4b6o4b6o $4o6b4o6b5o5b5o5b6o4b6o4b6o4b6o4b6o$b2o7b4o7b4o6b4o6b4o6b5o5b4o6b5o5b 5o$11b2o9b2o8b2o19b2o7b2o9b2o7b3o6$41b2o8b3o7b3o7b2o8b5o$40b5o5b5o5b5o 5b6o4b7o$40b6o4b5o5b6o4b7o3b7o$41b5o4b5o6b5o5b6o4b5o$43b2o6b3o8b3o9b2o 6$61b2o18b2o$60b4o16b5o$60b5o15b6o$61b5o15b5o$62b4o16b4o$63b2o18b2o5$ 81b3o$80b6o$80b7o$81b6o$84b2o6$81b2o$80b5o$80b6o$81b5o$81b4o$82b2o5$ 83b2o$82b4o$82b4o$81b4o$80b4o$80b4o$81b2o4$82b2o$81b4o$80b6o$80b6o$81b 4o$82b2o5$81b2o2b2o$80b8o$80b8o$81b2o2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 4 ]]
Still lifes from 12 to 24 cells in Vote
(click above to open LifeViewer)
x = 156, y = 196, rule = B5678/S45678 141b2o$140b4o$140b4o$141b3o$143b3o$145b3o$145b4o$147b2o$147b3o$149bo$ 149b3o$151bo$151b4o$152b4o$152b4o$153b2o5$141b2o$140b4o$140b4o$141b3o$ 143b3o$145bo$145b4o$147b3o$147b3o$149bo$149b3o$151bo$151b4o$152b4o$ 152b4o$153b2o5$121b2o18b2o$120b4o16b4o$120b4o16b4o$121b3o17b3o$123b3o 17b3o$125b3o17b3o$125b4o16b4o$127b2o18b3o$127b3o17b3o$129bo19bo$129b3o 17b3o$131b3o17bo$131b4o16b4o$131b4o17b4o$132b2o18b4o$153b2o5$101b2o18b 2o18b2o$100b4o16b4o16b4o$100b4o16b4o16b4o$101b3o17b3o17b3o$103b3o17b3o 17b3o$105b3o17b3o17b3o$105b4o16b4o16b4o$107b2o18b3o17b3o$107b3o17b3o 17b4o$109bo19bo19b2o$109b4o16b3o17b3o$110b4o17b3o17bo$110b4o17b4o16b4o $111b2o18b4o17b4o$132b2o18b4o$153b2o5$b2o18b2o18b2o18b2o18b2o18b2o18b 2o18b2o$4o16b4o16b4o16b4o16b4o16b4o16b4o16b4o$4o16b4o16b4o16b4o16b4o 16b4o16b4o16b4o$b3o17b3o17b3o17b3o17b3o17b3o17b3o17b3o$3b3o17b3o17b3o 17b3o17b3o17b3o17b3o17b3o$5b3o17bo19bo19bo19bo19bo19bo19bo$5b4o16b4o 16b3o17b3o17b3o17b3o17b3o17b3o$5b4o17b4o17b3o17bo19bo19bo19bo19bo$6b2o 18b4o17b4o16b4o16b3o17b3o17b3o17b3o$27b2o18b4o17b4o17b3o17bo19bo19bo$ 48b2o18b4o17b4o16b4o16b3o17b3o$69b2o18b4o17b4o17b3o17bo$90b2o18b4o17b 4o16b4o$111b2o18b4o17b4o$132b2o18b4o$153b2o5$5b2o18b2o18b2o18b2o18b2o 18b2o18b2o18b2o$4b4o16b4o16b4o16b4o16b4o16b4o16b4o16b4o$4b5o15b5o15b5o 15b5o15b5o15b5o15b5o15b5o$5b4o16b5o15b5o15b5o15b5o15b5o15b5o15b5o$b3ob 3o13b3ob5o11b3ob6o10b3ob6o10b3ob6o10b3ob6o10b3ob6o10b3ob6o$4o16b4o3b2o 11b4o3b4o9b4o3b5o8b4o3b5o8b4o3b5o8b4o3b5o8b4o3b5o$5o15b6o14b6ob3o10b6o b5o8b6ob6o7b6ob6o7b6ob6o7b6ob6o$b4o16b5o15b5o15b5o3b2o10b5o3b4o8b5o3b 5o7b5o3b5o7b5o3b5o$2b2o18b4o16b5o15b6o14b6ob3o10b6ob5o8b6ob6o7b6ob6o$ 23b2o18b4o16b5o15b5o15b5o3b2o10b5o3b4o8b5o3b5o$44b2o18b4o16b5o15b6o14b 6ob3o10b6ob5o$65b2o18b4o16b5o15b5o15b5o3b2o$86b2o18b4o16b5o15b6o$107b 2o18b4o16b5o$128b2o18b4o$149b2o5$105b2o18b2o18b2o$104b4o16b4o16b4o$ 104b5o15b5o15b5o$105b4o16b4o16b4o$101b3ob3o13b3ob3o13b3ob3o$100b4o6b2o 8b4o16b4o$100b6o3b4o7b6o5b2o7b6o$101b5o3b5o7b5o4b4o7b5o6b2o$102b6ob5o 8b6o2b5o7b6o3b4o$103b5o3b2o10b5o3b4o8b5o3b5o$104b6o14b6ob3o10b6ob5o$ 105b5o15b5o15b5o3b2o$106b4o16b5o15b6o$107b2o18b4o16b5o$128b2o18b4o$ 149b2o5$125b2o18b2o$124b4o16b4o$124b5o15b5o$125b4o16b4o$121b3ob3o13b3o b3o$120b4o6b2o8b4o$120b6o3b4o7b6o5b2o$121b5o3b5o7b5o4b4o$122b6ob6o7b6o 2b5o$123b5o3b4o8b5o3b5o$124b6ob3o10b6ob5o$125b5o15b5o3b2o$126b5o15b6o$ 127b4o16b5o$128b2o18b4o$149b2o5$145b2o$144b4o$144b5o$145b5o$141b3ob5o$ 140b4o3b2o$140b6o5b2o$141b5o4b4o$142b6o2b5o$143b5o3b5o$144b6ob5o$145b 5o3b2o$146b6o$147b5o$148b4o$149b2o5$145b2o$144b4o$144b5o$145b4o$141b3o b3o$140b4o6b2o$140b6o3b4o$141b5o3b5o$142b6ob6o$143b5o3b5o$144b6ob5o$ 145b5o3b2o$146b6o$147b5o$148b4o$149b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 2 HEIGHT 420 ]]
Period-2 oscillators in Vote, extensible series #1 with rotor similar to barberpoles
(click above to open LifeViewer)
x = 171, y = 161, rule = B5678/S45678 8b2o41b2o3b2o33b2o3b2o33b2o3b2o$b2o4b4o39b4ob4o31b4ob4o31b4ob4o$4o3b4o 39b4ob4o31b4ob5o30b4ob5o$5ob4o41b3o3bo33b3o3b3o31b3o3b4o$b4ob3o47bo40b 2o38b4o$3b2o46b2o3b2o33b2o38b2o6bo$7b2o41b3ob5o31b3o3b3o31b3o5bo$3b3ob 4o39b4ob4o31b5ob4o30b5o3b2o$2b4ob5o39b2o3b2o33b4ob4o31b4ob5o$b4o3b4o 80b2o3b2o33b4ob4o$b4o4b2o50b2o38b2o30b2o3b2o$2b2o10b2o44b4o2b2o32b4o2b 2o34b2o$13b4o7b2o34b4ob4o31b4ob4o32b4o2b2o$13b5o2b7o34b3ob4o32b3ob5o 31b4ob4o$14b4ob8o40bo39b3o32b3ob5o$16b2ob3o2b2o35b2o3bo34b2o4b2o39b4o$ 60b3o3b2o32b3o39b2o4b4o$12b2o2b3ob2o38b9o31b5ob3o32b3o6bo$11b8ob4o37b 2o2b4o32b4ob4o31b5o3bo$11b7o2b5o41b2o34b2o2b4o32b4o3b2o$12b2o7b4o46b2o 34b2o2b2o30b9o$22b2o46b4o2b2o32b4o2b2o26b2o2b4o$27b2o41b4ob4o31b4ob4o 30b2o2b2o$26b4o41b3ob4o32b3ob5o32b4o2b2o$26b4o47bo39b3o32b4ob4o$27b2o 43b2o3bo34b2o3b2o34b3ob5o$27b2o7b2o33b3o3b2o32b3o45b4o$27b3o2b7o32b9o 31b5ob3o34b2o3b4o$27b3ob8o33b2o2b4o32b4ob4o32b3o5bo$28b2ob3o2b2o39b2o 34b2o2b4o32b5o3bo$118b2o34b4o3b2o$23b2o2b3ob2o122b9o$22b8ob3o122b2o2b 4o$22b7o2b3o127b2o$23b2o7b2o$32b2o$31b4o$31b4o$32b2o2$52b2o3b2o33b2o3b 2o33b2o3b2o$51b4ob4o31b4ob4o31b4ob4o$50b6ob3o30b6ob4o29b6ob4o$50b4o3b 2o31b4o3b4o29b4o3b5o$51b3o37b3o5bo31b3o5b3o$56b3o39bo40b2o$51b2o3b4o 31b2o5b2o31b2o$50b3ob6o30b3o3b5o29b3o5b3o$50b4ob4o31b5ob5o29b5o3b4o$ 51b2o3b2o33b4ob4o31b4ob6o$62b2o28b2o3b2o3b2o28b4ob4o$61b4o2b2o32b4o2b 2o24b2o3b2o$60b10o30b10o34b2o$60b4o3b3o30b4o3b4o32b4o2b2o$61b3o3b2o32b 3o3b4o31b10o$109bo32b4o3b4o$61b2o3b3o32b2o5bo34b3o3b5o$60b3o3b4o30b3o 5b2o41b3o$60b10o30b5ob5o32b2o6b2o$61b2o2b4o32b4ob5o31b3o$66b2o4b2o28b 2o2b4o32b5o3b3o$71b4o2b2o28b2o4b2o28b4o3b4o$70b10o32b4o2b2o24b10o$70b 4o3b3o31b10o24b2o2b4o$71b3o3b2o32b4o3b4o28b2o4b2o$112b3o3b4o33b4o2b2o$ 72b2o3b3o40bo33b10o$71b3o3b4o32b2o5bo33b4o3b4o$71b10o31b3o5b2o33b3o3b 5o$72b2o2b4o32b5ob5o40b3o$77b2o34b4ob5o33b2o5b2o$114b2o2b4o33b3o$119b 2o34b5o3b3o$156b4o3b4o$157b10o$158b2o2b4o$163b2o4$93b2o3b2o33b2o3b2o$ 92b4ob4o31b4ob4o$91b5ob5o29b5ob5o$90b6o3b3o28b6o3b4o$90b4o5b2o29b4o5b 4o$91b3o37b3o7bo$98b3o39bo$91b2o5b4o29b2o7b2o$90b3o3b6o28b3o5b5o$90b5o b5o29b5o3b5o$91b4ob4o31b4ob6o$92b2o3b2o5b2o26b4ob4o$103b4o2b2o22b2o3b 2o5b2o$102b5ob4o32b4o2b2o$101b6ob5o30b5ob4o$101b4o5b3o29b6ob5o$102b3o 5b2o30b4o5b4o$143b3o5b4o$102b2o5b3o41bo$101b3o5b4o30b2o7bo$101b5ob6o 29b3o7b2o$102b4ob5o30b5o3b5o$103b2o2b4o4b2o26b4o3b5o$108b2o4b4o2b2o22b 10o$113b5ob4o22b2o2b4o4b2o$112b6ob5o26b2o4b4o2b2o$112b4o5b3o31b5ob4o$ 113b3o5b2o31b6ob5o$154b4o5b4o$114b2o5b3o31b3o5b4o$113b3o5b4o40bo$113b 5ob6o31b2o7bo$114b4ob5o31b3o7b2o$115b2o2b4o32b5o3b5o$120b2o34b4o3b5o$ 157b10o$158b2o2b4o$163b2o3$134b2o3b2o$133b4ob4o$132b6ob4o$131b5o3b5o$ 130b6o5b3o$130b4o7b2o$131b3o$140b3o$131b2o7b4o$130b3o5b6o$130b5o3b5o$ 131b4ob6o$132b4ob4o$133b2o3b2o7b2o$146b4o2b2o$145b10o$144b5o3b4o$143b 6o3b5o$143b4o7b3o$144b3o7b2o2$144b2o7b3o$143b3o7b4o$143b5o3b6o$144b4o 3b5o$145b10o$146b2o2b4o6b2o$151b2o6b4o2b2o$158b10o$157b5o3b4o$156b6o3b 5o$156b4o7b3o$157b3o7b2o2$158b2o7b3o$157b3o7b4o$157b5o3b6o$158b4o3b5o$ 159b10o$160b2o2b4o$165b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 2 HEIGHT 420 ]]
Period-2 oscillators in Vote, extensible series #2
(click above to open LifeViewer)
x = 59, y = 35, rule = B5678/S45678 6b2o20b2o18b2o$5b4o18b4o16b4o$5b4o18b4o16b4o$b2o3b2o18b4o15b2o2bo$7o 14b2o3bo14b2ob3o3bo$4o16b7o13b4ob2o2b3o$b2o2b3o12b4o2bo13b3o4b5o$5b4o 12b2o3b4o11b2o2bobob2o$5b4o18b4o12b4o$6b2o19b4o12b4o$28b2o14b2o10$b2o 18b2o20b2o$4ob2o13b4o3b2o13b4o2b2o$3ob4o12b4o2b4o12b9o$2o3b3o12b10o13b 2o3b3o$2o3b2o13b3o7b2o14bob3o$bo3bo15b2o2b2o3b3o8b2o2b2o3bo$b5o4b2o13b 2o3b3o7b8o2b3o3b2o$bo3bo3b4o8b8ob2o8b7o5b7o$2o3b8o7b3o2b4obo10b2o3b3o 2b8o$2o5bo3bo8b2o4bo3bo17bo3b2o2b2o$2o5bo4bo7b2o4bo3b3o15b3obo$3o4bo3b 3o6b3o2b2ob6o14b3o3b2o$b13o7b6ob6o14b9o$2b4o3b4o9b4o3b4o16b2o2b4o$54b 2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 4 ]]
Other period-2 oscillators in Vote
(click above to open LifeViewer)


Vote 4/5

Vote 4/5
x=0, y = 0, rule = B4678/S35678 ! #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 35678/4678
B4678/S35678
Rule integer 250320
Character Stable
Black/white reversal B4678/S35678
Strobing dual B01235/S0124
Checkerboard dual B02-ei3c4-ejr5e6-cn8/S12cn3-e4cny5-c6ei7
Radiation.png This article is a stub. You can help LifeWiki by expanding it.

Vote 4/5 (or Anneal) is a modification to the Vote rule that has 4 and 5 swapped. Its totalistic rulestring is 46789 and its birth/survival notation is B4678/S35678.

Patterns under Vote 4/5 tend to have more active alive/dead borders. In particular, a single cell supported by a 2-cell thick line replicates following Wolfram's Rule 150.

Natural objects include still lifes with 4, 6, 8+ cells and oscillators of several periods.

See also

External links