Adjustable glider loop

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Revision as of 20:36, 16 March 2020 by Ian07 (talk | contribs) (Ian07 moved page Adjustable glider loops to Adjustable glider loop: depluralize)
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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 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POPUPHEIGHT 550 ]]
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