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No, because there are only a limited number of extensible-period mechanisms such as the p30+14n and p52+14n block-based shuttles, and they do not cover all arbitrarily high periods.Hdjensofjfnen wrote:Is this rule omniperiodic yet?
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x = 22, y = 22, rule = B2-ac3aei4ae6i8/S23-ejq8
2o8b2o8b2o$2o8b2o8b2o$3bo14bo$2b2o6b2o6b2o$10b2o2$6b2o2b2o2b2o$6bo3b2o3bo$8bo
4bo$9b4o$2ob2ob2obo2bob2ob2ob2o$2ob2ob2obo2bob2ob2ob2o$9b4o$8bo4bo$6bo3b2o3bo
$6b2o2b2o2b2o2$10b2o$2b2o6b2o6b2o$3bo14bo$2o8b2o8b2o$2o8b2o8b2o!Code: Select all
x = 15, y = 15, rule = B2-ac3aei4ae6i8/S23-ejq8
4b2obo$b2obob2o$b2o2$2o$o4bo$bo$2o5bobo3b2o$13bo$7bobo4bo$13b2o2$12b2o$7b2obo
b2o$7bob2o!Code: Select all
x = 75, y = 21, rule = B2-ac3aei4ae6i8/S23-ejq8
$41b2obo$38b2obob2o$38b2obo3bo18b2obo$12b2obo25bo19b2obob2o$9b2obob2o
10b2obo7b5o19bo2bo3b2o$9b2obo3bo6b2obob2o7bo10bo19bo$12bob2ob2o4b2obo
3b2o6bo21b3o2bo3bo$8b5o2bobo8bo3bo6b2o8b3o10bo4bo2b2o$8bo9bo3b5o4bo29b
o$9bobo2b5o3bo4b5o8b3o8b2o7b2o3bob2o$8b2ob2obo8bo3bo23bo10b2obob2o$10b
o3bob2o4b2o3bob2o10bo10bo9bob2o$11b2obob2o6b2obob2o17b5o$11bob2o9bob2o
20bo$44bo3bob2o$45b2obob2o$45bob2o!
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x = 70, y = 20, rule = B2-ac3aei4ae6i8/S23-ejq8
4bo$bob3o30b2o$3o2b2o29b2o$o4bo$bobobo27b2ob2o17b2o$22b2o9b2obo19bo$
22b2o12bob2o15bo12b2o$36bo2bo15b2o12bo$38bo14bo14bo$36bo31b2o$37bo14bo
14bo$35bo15bo12bo2bo$34bo2bo26bo2bo$2o32b2obo12bo13bo$2o35bob2o6b2o13b
2o$18bobobo13b2ob2o7bo14bo$18bo4bo23bo14bo$17b2o2b3o12b2o9b2o13b2o$18b
3obo13b2o$19bo!
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x = 55, y = 60, rule = B2-ac3aei4ae6i8/S23-ejq8
40bo$38bo2bo$37bo2bobo2$36bobo2bo$37bo2bo$38bo2$33b2o$33b2o4$28b2o$28b
2o$27bo$25b2o$25b2o3$21b2o17b2o$21b2o17b2o2$38b4o$17b2o19bo3b2o2b2o$
17b2o20bo4b2obo$38b2o$31b2o$4b2o7b2o16bo$4bo8b2o17bo9b2o$5bo26bo9b2o$
5bo25bo16bob2o$4bo4b2o20bo3b2o11b2obo$4bo4b2o16b2obo4b2o14bob2o$2obo
23b2obo14b2o4bob2o$2obo26bob2o11b2o3bo$3bob2o23b2obo16bo$3b2obo31b2o9b
o$11b2o25b2o9bo$11b2o37bo$49b2o$42b2o$15b2o17bob2o4bo$15b2o17b2o2b2o3b
o$40b4o2$19b2o19b2o$19b2o19b2o3$23b2o$23b2o3$27b2o$27b2o3$31b2o$31b2o!Nice find! Now we have proven that the rule is omniperiodic!Sphenocorona wrote:90 degree block signal reflector, repeat time 17:
-rle-
Since all oscillator periods below 17 are already known, this is sufficient to prove that the rule is omniperiodic.
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x = 28, y = 5, rule = B2-ac3aei4ae6i8/S23-ejq8
2ob2obo14bob2ob2o$2obob2o14b2obob2o$3bo20bo$2b2o4b2o8b2o4b2o$8b2o8b2o!Code: Select all
x = 21, y = 21, rule = B2-ac3aei4ae6i8/S23-ejq8
2obob2ob2ob2ob2obob2o$o2b2obob2ob2obob2o2bo$2bo15bo$2o2bo11bo2b2o$bob2o11b2ob
o$o5bo7bo5bo$2o3b2o3bo3b2o3b2o$10bo$2o8bo8b2o$2o17b2o$6b3o3b3o$2o17b2o$2o8bo
8b2o$10bo$2o3b2o3bo3b2o3b2o$o5bo7bo5bo$bob2o11b2obo$2o2bo11bo2b2o$2bo15bo$o2b
2obob2ob2obob2o2bo$2obob2ob2ob2ob2obob2o!
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x = 31, y = 31, rule = B2-ac3aei4ae6i8/S23-ejq8
2bo4b3ob2obobob2ob3o4bo$bo2b4o3b2obobob2o3b4o2bo$obo3b2o7bo7b2o3bobo$
3b2o4bobo7bobo4b2o$bob4ob2o4bobo4b2ob4obo$bo2bo6bo7bo6bo2bo$b2obo2bobo
bo2b3o2bobobo2bob2o$3o3bo5bobobobo5bo3b3o$o3bo3bo2bob2ob2obo2bo3bo3bo$
o2b2obo2bo2b3ob3o2bo2bob2o2bo$14bobo$2obob2obo2bo2bobo2bo2bob2obob2o$
2o5bobo2b7o2bobo5b2o$8b2o2b2o3b2o2b2o$2o2bob7ob3ob7obo2b2o$2bo3bo5bob
3obo5bo3bo$2o2bob7ob3ob7obo2b2o$8b2o2b2o3b2o2b2o$2o5bobo2b7o2bobo5b2o$
2obob2obo2bo2bobo2bo2bob2obob2o$14bobo$o2b2obo2bo2b3ob3o2bo2bob2o2bo$o
3bo3bo2bob2ob2obo2bo3bo3bo$3o3bo5bobobobo5bo3b3o$b2obo2bobobo2b3o2bobo
bo2bob2o$bo2bo6bo7bo6bo2bo$bob4ob2o4bobo4b2ob4obo$3b2o4bobo7bobo4b2o$o
bo3b2o7bo7b2o3bobo$bo2b4o3b2obobob2o3b4o2bo$2bo4b3ob2obobob2ob3o4bo!
Code: Select all
x = 21, y = 21, rule = B2-ac3aei4ae6i8/S23-ejq8
2o$2o$3bo$2b2o$10bo$9bobo$8b2o2bo$8b3obo$6b2obob2o$5b5o$4bo2bo$5bo2bo
6b2o$6b3o3b2obo$12bo4b2o$14b2obo$11b2obo4b2o$11bo4b2ob2o$13b2ob2o$13bo
$15b2o$15b2o!
You could make do with just one triplet of blocks:Hunting wrote:p88 gun monomized:Code: Select all
x = 21, y = 21, rule = B2-ac3aei4ae6i8/S23-ejq8 2o$2o$3bo$2b2o$10bo$9bobo$8b2o2bo$8b3obo$6b2obob2o$5b5o$4bo2bo$5bo2bo 6b2o$6b3o3b2obo$12bo4b2o$14b2obo$11b2obo4b2o$11bo4b2ob2o$13b2ob2o$13bo $15b2o$15b2o!
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x = 19, y = 19, rule = B2-ac3aei4ae6i8/S23-ejq8
2o$2o$3bo$2b2o$10bo$9bobo$8b2o2bo$8b3obo$6b2obob2o$5b5o$4bo2bo$5bo2bo
6b2o$6b3o3b2obo$12bo4b2o$14b2ob2o$11b2ob2o$11bo$13b2o$13b2o!Code: Select all
x = 8, y = 8, rule = B2-ac3aei4ae6i8/S23-ejq8
2b2o$2b2ob2o$o5bo$2obo$4bob2o$b2o3b2o$b2obo$4b2o!
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x = 7, y = 7, rule = B2-ac3aei4ae6i8/S23-ejq8
2o3b2o$2o4bo2$3bo2$o4b2o$2o3b2o!
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x = 12, y = 12, rule = B2-ac3aei4ae6i8/S23-ejq8
2o$o4b2o$2b2ob2o$2bo$4bo$b2o3bo2b2o$b2o2bo3b2o$7bo$9bo$5b2ob2o$5b2o4bo
$10b2o!
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x = 5, y = 3, rule = B2-ac3aei4ae6i8/S23-ejq8
2o$o3bo$3b2o!
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x = 7, y = 7, rule = B2-ac3aei4ae6i8/S23-ejq8
bo$o2$3b2o$3bo$5b2o$5b2o!