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 ]]
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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
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 ]]
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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$149b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ ZOOM 2 HEIGHT 420 ]]
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Period-2 oscillators in Vote, extensible series #1 with rotor similar to barberpoles (click above to open LifeViewer )
x = 171, y = 161, rule = B5678/S45678
8b2o41b2o3b2o33b2o3b2o33b2o3b2o$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 ]]
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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 ]]
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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 ]]
Please enable Javascript to view this LifeViewer.
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
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