For other uses of 'glider loop', see Glider loop (disambiguation) .
An adjustable glider loop is an oscillator composed of stable reflectors (as opposed to oscillator-based shuttle loops such as 6 bits and Double X ), whose positioning and distances can be adjusted to give new periods.
Below are loops for every period from p43 to p54. For the even periods and period 49 , loops using bumpers will yield a smaller population and bounding box. For 4n periods, the bounding boxes could be reduced by removing one glider from the loops and reducing their length by n cells, but then the reflection reactions would no longer be in the same phase at each of the four corners.
An example of a similar loop reduction is shown for the period 54 example, which is the minimum loop length possible for four Snarks .
x = 295, y = 222, rule = B3/S23
27b2o73b2o72b2o73b2o$27bobo72bobo71bobo72bobo$29bo4b2o68bo4b2o67bo4b2o
68bo4b2o$25b4ob2o2bo2bo62b4ob2o2bo2bo61b4ob2o2bo2bo62b4ob2o2bo2bo$25bo
2bo3bobob2o62bo2bo3bobob2o61bo2bo3bobob2o62bo2bobobobob2o$28bobobobo
68bobobobo67bobobobo68bobobobo$29b2obobo69b2obobo68b2obobo69b2obobo$
33bo74bo73bo74bo2$19b2o73b2o72b2o73b2o$20bo8bo65bo8bo64bo8bo65bo7b2o$
20bobo5b2o65bobo5b2o64bobo5b2o65bobo5b2o$21b2o73b2o72b2o73b2o$35bo74bo
$36bo74bo73bo74bo$34b3o72b3o71bobo72bobo$184b2o73b2o$25bo148bo$25b2o
72b3o72b2o72b3o$24bobo4b2o22bo45bo4b2o22bo42bobo4b2o68bo4b2o$31bo21b3o
44bo5bo21b3o49bo24bo43bo5bo$32b3o17bo54b3o17bo53b3o19b3o50b3o22bo$34bo
17b2o55bo17b2o54bo18bo55bo20b3o$202b2o74bo$45bo75bo156b2o$46b2o12b2o
60bo12b2o58bo75bo$45b2o14bo58b3o13bo59b2o12b2o60bo$3b2o56bob2o71bob2o
55b2o14bo58b3o13b2o$4bo9b2o10bo3bo3bobobo14bo5b3o2bo12b2o21bo3bo3bo3bo
15b2o4b3o2bo11b2o58bob2o11b2o59bo$2bo10bobo37b2o3bo3b2o14bo9b3o37b2o3b
o3b2o13bo9b3o10bo3bo3bobobo15b2o4b3o2bo12bo9b2o11bo3bo3bobobo24bob2o$
2b5o8bo5b2o3bo3bo7bo19b2obo14bo13bo9bo3bo3bo3bo20b4o13bo13bo38b2o3bo3b
2o11bo10bobo40bo5b3o2bo$7bo13bo22b2o15bo14b5o8bo5b2o22b2o15bo13b5o8bo
5b2o4bo3bo3bo24b4o13b5o8bo5b2o4bo3bo3bo20b2o3bo3b2o$4b3o12bobo4bobobo
3bobobo4bobo12b3o20bo13bo4bobobo3bobobo5bobo12b3o19bo13bo24b2o15bo18bo
13bo39b2obo$3bo15b2o22bo13bo20b3o12bobo22bo13bo19b3o12bobo5bobobo3bobo
bo5bobo12b3o16b3o12bobo5bobobo3bobobo7b2o15bo$3bob2o23bo7bo3b2o5bo8b5o
14bo15b2o9bo7bo4b2o5bo8b5o13bo15b2o24bo13bo18bo15b2o25bobo12b3o$b2o3bo
3b2o37bobo10bo14b4o42bo13bo13b4o24bo7bo4b2o5bo8b5o13bob2o24bo3bo3bo6bo
13bo$o2b3o5bo18bo3bobobo10b2o9bo14b2o3bo3b2o18bo7bo10b3o9bo13b2o3bo3b
2o38bo13bo11b2o3bo3b2o33b2o5bo8b5o$2obo56b2o12bo2b3o4b2o49b2o11bo2b3o
4b2o19bo3bobobo10b3o9bo12bo2b3o5bo19bo3bobobo12bobo10bo$3bo14b2o54b2ob
o70b2obo58b2o11b2obo48b2o9bo$3b2o12b2o58bo13b3o57bo14b2o58bo59b2o$19bo
57b2o12bo59b2o12b2o59b2o13b3o$92bo74bo73bo$11b2o17bo211bo$12bo17b3o52b
2o17bo54b2o73b2o$9b3o21bo52bo17b3o53bo18bo55bo$9bo22b2o4bobo42b3o21bo
5bo43b3o19b3o50b3o20bo$38b2o43bo22b2o4bo44bo24bo49bo22b3o$39bo72b3o66b
2o4bobo68bo5bo$187b2o68b2o4bo$28b3o157bo74b3o$28bo73b3o72b2o$29bo72bo
74bobo73b2o$42b2o59bo73bo75bobo$35b2o5bobo71b2o135bo$35bo8bo64b2o5bobo
72b2o$44b2o63bo8bo65b2o5bobo73b2o$118b2o64bo8bo66b2o5bobo$31bo161b2o
65b2o7bo$30bobob2o69bo163b2o$30bobobobo67bobob2o70bo$27b2obobo3bo2bo
64bobobobo68bobob2o71bo$27bo2bo2b2ob4o61b2obobo3bo2bo65bobobobo69bobob
2o$29b2o4bo65bo2bo2b2ob4o62b2obobo3bo2bo66bobobobo$35bobo65b2o4bo66bo
2bo2b2ob4o63b2obobobobo2bo$36b2o71bobo66b2o4bo67bo2bo2b2ob4o$110b2o72b
obo67b2o4bo$185b2o73bobo$261b2o6$30b2o148b2o$30bobo71b2o74bobo71b2o$
32bo4b2o65bobo75bo4b2o65bobo$28b4ob2o2bo2bo65bo4b2o65b4ob2o2bo2bo65bo
4b2o$28bo2bobobobob2o61b4ob2o2bo2bo63bo2bobobobob2o61b4ob2o2bo2bo$31bo
bobobo64bo2bo3bobob2o66bobobobo64bo2bo3bobob2o$32b2obobo67bobobobo70b
2obobo67bobobobo$36bo69b2obobo74bo69b2obobo$110bo149bo$22b2o148b2o$23b
o7b2o63b2o75bo7b2o63b2o$23bobo5b2o64bo8bo66bobo5b2o64bo8bo$24b2o71bobo
5b2o67b2o71bobo5b2o$98b2o148b2o$39bo149bo72bo$40bo146bobo73bo$38b3o73b
o73b2o71b3o$28bo86bo$28b2o72b3o8b3o61bo$27bobo4b2o68bo72b2o5b2o$34bo
68bo4b2o66bobo5bo65b2o6b2o$35b3o22bo47bo76b3o61bobo6bo$37bo20b3o48b3o
22bo52bo23bo39bo7b3o$57bo53bo20b3o74b3o49bo23bo$57b2o72bo76bo74b3o$
131b2o75b2o72bo$50bo149bo81b2o$51b2o12b2o134b2o72bo$50b2o14bo59bo12b2o
59b2o14b2o55bobo$4b2o10b2o10bo3bo3bobobo25bob2o57bo12bo76bo56b2o14b2o$
5bo9bobo40b2o4b3o2bo20b3o32b3o12bob2o9b2o22bo3bo3bobobo27bob2o70bo$3bo
13bo10bo3bo7bo17b2o3bo3b2o8b2o13bo9bo3bo3bobobo17b2o4b3o2bo10bo9b3o42b
2o4b3o2bo70bob2o$3b5o14b2o39b4o11bo12bo40b2o3bo3b2o9bo13bo10bo3bo3bo3b
o19b2o3bo3b2o6b2o24bobobo3bobobo18b2o4b3o2bo$8bo13bo5bobobo7bo8b2o15bo
9bo25bo3bo3bo3bo22b4o11b5o8bo5b2o41b4o9bo9b3o43b2o3bo3b2o$5b3o12bobo
25bobo12b3o10b5o14b2o26b2o15bo16bo13bo5bobobo3bobobo10b2o15bo7bo13bo
12bo7bo3bo23b4o$4bo15b2o10bo7bo7bo13bo18bo13bo6bobobo3bobobo7bobo12b3o
14b3o12bobo27bobo12b3o8b5o8bo5b2o28b2o15bo$4b4o39b2o14b5o10b3o12bobo
26bo13bo16bo15b2o10bo7bo9bo13bo16bo13bo7bobobo3bo3bo8bobo12b3o$2b2o3bo
3b2o19bo7bo12bo13bo9bo15b2o11bo3bo3bo6b2o14b5o11b4o41b2o5bo8b5o8b3o12b
obo28bo13bo$bo2b3o4b2o40bobo9bo11b4o60bo9b2o3bo3b2o19bo3bobobo14bo13bo
7bo15b2o12bo3bo3bo7b2o5bo8b5o$b2obo48b2o10b2o8b2o3bo3b2o20bo3bobobo11b
o12bo10bo2b3o4b2o42b3o9bo9b4o48bo13bo$4bo14b2o53bo2b3o4b2o39bo13b2o9b
2obo62b2o6b2o3bo3b2o17bobobo3bobobo13b3o9bo$4b2o12b2o54b2obo12b3o32b3o
25bo69bo2b3o4b2o55b2o$20bo56bo12bo62b2o14b2o52b2obo$77b2o12bo76b2o56bo
$12b2o156bo55b2o14b2o$13bo147b2o79bobo$10b3o20bo51b2o75bo79bo$10bo22b
3o50bo72b3o72b2o$36bo46b3o20bo52bo23bo51bo$35b2o4bobo39bo22b3o74b3o46b
3o$41b2o66bo76bo5bobo37bo23bo$42bo65b2o4bo70b2o5b2o62b3o7bo$30b3o80bo
79bo65bo6bobo$30bo71b3o8b3o142b2o6b2o$31bo70bo78b2o$103bo77bobo$45b2o
134bo$38b2o5bobo206b3o$38b2o7bo70b2o75b2o57bo$47b2o62b2o5bobo67b2o5bob
o57bo$111bo8bo67b2o7bo70b2o$34bo85b2o75b2o62b2o5bobo$33bobob2o222bo8bo
$33bobobobo67bo76bo85b2o$30b2obobobobo2bo63bobob2o71bobob2o$30bo2bo2b
2ob4o63bobobobo70bobobobo67bo$32b2o4bo64b2obobo3bo2bo64b2obobobobo2bo
63bobob2o$38bobo62bo2bo2b2ob4o64bo2bo2b2ob4o63bobobobo$39b2o64b2o4bo
70b2o4bo64b2obobo3bo2bo$111bobo74bobo62bo2bo2b2ob4o$112b2o75b2o64b2o4b
o$261bobo$262b2o2$32b2o73b2o73b2o73b2o$32bobo72bobo72bobo72bobo$34bo4b
2o68bo4b2o68bo4b2o68bo4b2o$30b4ob2o2bo2bo62b4ob2o2bo2bo62b4ob2o2bo2bo
62b4ob2o2bo2bo$30bo2bobobobob2o62bo2bo3bobob2o62bo2bo3bobob2o62bo2bo3b
obob2o$33bobobobo68bobobobo68bobobobo68bobobobo$34b2obobo69b2obobo69b
2obobo69b2obobo$38bo74bo74bo74bo2$24b2o73b2o73b2o73b2o$25bo7b2o65bo8bo
65bo8bo65bo8bo$25bobo5b2o65bobo5b2o65bobo5b2o65bobo5b2o17bo$26b2o73b2o
73b2o73b2o22b3o$190bo74bo8bo$191bo74bo7b2o$42bo146b3o72b3o$43bo74bo$
30bo10b3o61b3o11bo162b2o$30b2o75bo9b3o163bo$29bobo4b2o68bo4b2o73b2o53b
2o18b2o20bob2o$36bo74bo65b2o7bo55bo9b2o7bo13bo5b3o2bo$37b3o72b3o63b2o
7b3o50bo10bobo8b3o10b2o3bo3b2o$39bo74bo62bo11bo50b5o8bo5b3o2bo15b2obo$
64bo74bo105bo13bo2bobob2o15bo$62b3o72b3o75bo26b3o12bobobobobobo12b3o$
61bo74bo76b3o25bo15b2obobo2bo13bo$61b2o73b2o74bo28bob2o15bo2b3o5bo8b5o
$202bobo7b2o25b2o3bo3b2o10b3o8bobo10bo$54bo148b2o33bo2b3o5bo13bo7b2o9b
o$55b2o12b2o60bo12b2o57bo34b2obo20b2o18b2o$17b2o35b2o14bo21b3o37bo12bo
74b2o19bo$4b2o10bobo12bobobo3bobo28bob2o20bo35b3o12bob2o72bo19b2o$5bo
12bo43b2o4b3o2bo4b2o13bo43b2o4b3o2bo4b2o66bob2o$3bo27bo9bo20b2o3bo3b2o
6bo25bobobo3bobobo19b2o3bo3b2o6bo9b2o15bobobo3bobobo19bo5b3o2bo33b3o$
3b5o14b2o43b4o6bo64b4o6bo10bobo47b2o3bo3b2o25b2o7bo$8bo13bo8bobobo5bo
11b2o15bo6b5o14b2o7bo11bo10b2o15bo6b5o8bo5b2o8bo11bo24b2obo28bo8bo18bo
bobo3bo3bo$5b3o12bobo29bobo12b3o12bo13bo30bobo12b3o12bo13bo32b2o15bo
25b3o22b2o$4bo15b2o13bo5bo10bo13bo12b3o12bobo8bobobo3bobobo9bo13bo12b
3o12bobo9bobobo3bobobo9bobo12b3o26bo17b2o5bobo3bo7bo3bo$4b4o43b2o14b5o
6bo15b2o30b2o14b5o6bo15b2o32bo13bo47bo8bo$2b2o3bo3b2o18bobobo3bobobo
27bo6b4o27bo3bo32bo6bob2o28bo7bo8b2o5bo8b5o51b2o2bobobo3bobobo$bo2b3o
4b2o43bo12bo6b2o3bo3b2o57bo6b2o3bo3b2o47bobo10bo$b2obo51bobo10b2o4bo2b
3o4b2o18bobobo3bobobo12bo13b2o4bo2b3o5bo19bobobo3bobobo15b2o9bo40bo20b
o7bo$4bo14b2o35b2o17b2obo12b3o35bo20b2obo66b2o38bobob2o$4b2o12b2o58bo
12bo37b3o21bo106bobobobo11bobobo7bo$20bo57b2o12bo60b2o102b2obobo3bo2bo
$171bo85bo2bo2b2ob4o$12b2o156b2o87b2o4bo$13bo72b2o73b2o7bobo92bobo$10b
3o74bo74bo103b2o$10bo73b3o72b3o$35bo48bo74bo$35b3o71bo$38bo70b3o73bo
11bo$37b2o4bobo66bo72b3o7b2o$43b2o66b2o4bo70bo7b2o$31b3o10bo59b3o9bo
70b2o$31bo72bo11b3o$32bo72bo2$183b3o$47b2o134bo$40b2o5bobo71b2o61bo$
40b2o7bo64b2o5bobo73b2o$49b2o63bo8bo66b2o5bobo$123b2o65bo8bo$36bo162b
2o$35bobob2o69bo$35bobobobo67bobob2o71bo$32b2obobobobo2bo64bobobobo69b
obob2o$32bo2bo2b2ob4o61b2obobo3bo2bo66bobobobo$34b2o4bo65bo2bo2b2ob4o
63b2obobo3bo2bo$40bobo65b2o4bo67bo2bo2b2ob4o$41b2o71bobo67b2o4bo$115b
2o73bobo$191b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ GPS 20 ZOOM 2 THUMBSIZE 2 WIDTH 700 HEIGHT 550 POPUPWIDTH 700 POPUPHEIGHT 550 ]]
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Examples
The following is a list of adjustable glider loops which are the smallest known oscillator of their period :
See also
Dependent reflector loop : Unlike the dependent syringe mentioned above (which is named for requiring its successor in the circuit to be a dependent conduit ), 'dependent' refers to the reflectors requiring gliders inputted at a fixed period to support them
Relay
glider loops and shuttles are both subsets of relays