Things to be discovered

For general discussion about Conway's Game of Life.
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muzik
Posts: 5612
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Things to be discovered

Post by muzik » March 21st, 2017, 12:56 pm

On the more complex side of things, I would like to see a counting device of some sort that defies integer overflow simply by growing another counter.

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blah
Posts: 311
Joined: April 9th, 2016, 7:22 pm

Re: Things to be discovered

Post by blah » March 21st, 2017, 2:13 pm

muzik wrote:On the more complex side of things, I would like to see a counting device of some sort that defies integer overflow simply by growing another counter.
Patterns/HashLife/logarithmic-width.mc:

Code: Select all

x = 1077, y = 165, rule = B3/S23
228b2o$228b2o4$229bo$228b3o$227bo3bo$226bob3obo$227b5o$216b3o$215bo3bo
$214bo5bo$602bo14b2o29b2o10b2o$213bo7bo380b2o13b2o29b2o8bo3bo$213bo7bo
6bo2b2o357b2o11b2o52bo5bo13b2o$228bobo358b3o3bo7b3o7b2o37b2o2b2obo3bo
13b2o4b3o$214bo5bo6b2o357bob2o4b4o5b2o8b2o37b2o3bo5bo10b2o6b5o93bo13b
2o29b2o11bobo$215bo3bo6b2o351b2o5bo2bo4bo4bo2b2o44bo9bo3bo10b3o5bo3bob
o90bobo13bo2bo27b2o9bo3bo$216b3o7b2obo349b2o5bob2o5bo3bo2bo44bobo10b2o
12b2o6bo3b2o80b2o6b2o58bo19bo$227b3o359b3o3b2obo47bo3bo14bobo9b2o88bo
3bo4b2o12b2o6bo30b2o4bo4bo14b4o$494b2o13b2o29b2o11b2o35b2o55b3o15b2o
10b2o87bo5bo3b2o12b2o37b2o5bo12bo4b2obobo$494bobo12b2o29b2o11bobo89b2o
3b2o14bo89b2o8bo3bob2o4bobo15b2o38bo3bo3bob2o5b3obo2bo2b2o$228b2o3b2o
247bo12b3o50b2o6bo11bobo185b2o8bo5bo7bo14bo42bobo2bob4o5b2obobo3b2o$
231bo27bo15b2o202b4o3b2o8b3o6b2o37b2obo2bo2bo2bo10bo2bo4bo27bobo161bo
3bo53bo17b2o2b2o6b4o$228bo5bo23bobo14b2o201b4o3b2o8b3o7b2o37b2o2b2o6bo
9b2o5b2o29b2o10b5o147b2o54b3o29bo31bo15b2o$220bobo6b2ob2o14b2o7bob2o
210b2o5bo2bo3b2obob2o2bobo42b3o11bobo8b2o3bo8b2o24bo10bob3obo157bo12b
2o3b2o25b3o60bobo14b2o$220b2o8bobo14bobo6b2ob2o10b2o198b2o5b4o4bobob2o
2b2o43b3o11b2o11b2o10b2o36bo3bo38bo120b2o10b2o3b2o78b2o7bob2o$221bo9bo
14bo6b3obob2o10b2o206b4o3bob2o48bo3bo15bo8bo2bo46b3o37b2o120b2o12b5o
24b2o3b2o47bobo6b2ob2o10b2o$231bo5b2o7bo2bo2bo2bo2bobo16b2o203bo54bo5b
o12b2o10bobo16bo2b2o4b2o2bo17bo15b2o22b2o6b2o3bo2bo3b2o27bo11b2o73bobo
25b2o3b2o46bo6b3obob2o10b2o$237b2o7bo6b2o4bo99b2o11b2o164bo3bo14b2o27b
o3b3o2b3o3bo32bo31b5o4b5o27bobo9b2o115bobo27b2o7bo2bo2bo2bo2bobo16b2o$
247bobo107bo2bo11b2o136bo28b3o45bo2b2o4b2o2bo10bo13bo6bobo6bobo22b2o3b
o2bo3b2o10bo17bobo83b3o39b2o28b2o7bo6b2o4bo$248b2o94bobo9bo7b5o127bo
12b3o100b2o8b4o6b2o6bo2bo46b2o16bo2bo3b2o49b2o6b2o49bo11bo7b2o6b2o21bo
bo$344bo3bo7bo6bo5bo127b2o9b5o99b2o7b4o14b2o44b2o4b2o15bobo4b2o48bo2bo
4bo2bo34b2o11bobo17bo2bo4bo2bo21b2o$211b3o16b2o28bobo10b2o3b2o68bo7bo
7b2o3bo3bo122b2o9b2o3b2o107bo2bo12b2o3bo38b2o2b2o4b3o13bobo54b6o2b6o8b
obo22bo12bobo17bo2bo4bo2bo$230b2o29b2o11b5o55b2o8bo4bo7bo2bo7bo3b3o
133b5o98bo9b4o14b2o12b2o26b2o2b2o4b2o7bobo4bo12bo44bo2bo4bo2bo10b2o13b
2o5bobo8bo5bo17bo2bo4bo2bo33bobo10b2o3b2o$222b2o37bo12b2ob2o55b2o12bo
10b2o10bo3bo132bo3bo36bobo60b2o8b4o7b2o5bo2bo9b2o35b2o9b2o17bo45b2o6b
2o11bo13bobo5b2o8b2o5bo18b2o6b2o35b2o11b5o$222bobo49b2ob2o65bo3bo24bo
109bo4bo20bobo14b2o21b2o10bobo2bobo56bo6bobo6bobo46bo10bo17bobo78bo17b
2o6bo3bo59bo12b2ob2o$217b2o4b3o7b2o40b3o66bobo8bobo12bo5bo104b2ob4ob2o
19bo15bo23bo6b2obo2bo2bo2bob2o59bo85b2ob2o66b2o9bo2bo13b3o8b2o73b2ob2o
$213bo2bo2bo4b3o6b2o121b2o12bo5bo106bo4bo27bo7bobo5bobo26bobo2bobo62b
2o84bo5bo65bobo8bo17b2o4b2o3b2o73b3o$212bob2ob2o4b3o20bo2bo4bo2bo98bo
14bo3bo138bobo7b2o4bo3bo185bo69bo10bobo6b2o7b2o$198bo12bo3bo6bobo19b3o
2b6o2b3o8bo103b3o137b2o16bo186b2o3b2o78b2o5bobo8bo54bo2bo4bo2bo$197bo
13b5o6b2o22bo2bo4bo2bo11b2o12b2o219bo7b2o15bo4bo10bo263bo63b3o2b6o2b3o
8bo$50b2o5bo5b2o132b3o10b2o3b2o51b2o11bo2bo220bo6b2o16bo14bo164b3o95b
2o65bo2bo4bo2bo11b2o12b2o$49b3o3bo3bo3b2o146b5o53b2o9bo7b5o211b2o8bobo
8b2o3bo3bo10bo145b2o6b2o8bo2bo7bo176b2o11bo2bo$37bo8bob2o5bo156b3o55b
2o8bo6bo5bo69bo152bo7bobo5bobo154bo4bo2bo4bo6b2o7b2o108bo80bo7b5o$37bo
bo6bo2bo4bo5bo3bo148bo56bobo7bo7b2o3bo51b8o11b2o158bo164bo4bo2bo4bo
125bobo69bo8bo6bo5bo$38bobo5bob2o9b2o2bobo205bo9bo2bo7bo52bob4obo10b2o
158b2o164bo4bo2bo4bo8bob2o2bo7b2o101b2o70bo8bo7b2o3bo$25b2o11bo2bo7b3o
11bobo106bo110b2o60b8o28bo309b2o6b2o11b3o3bobo4bobo172bo9bo2bo7bo$20b
2o3b2o11bobo9b2o12bo106b3o207bobo336bo5b3o67bo115b2o153b2o6b2o$20b2o
15bobo130b2ob2o207bobo342b3o6b2o56bobo270bo7bo$37bo9bo121b3ob3o206bo2b
o3b2o335b3o7b2o57b2o268bobo5bobo$48b2o11b2obob2o101b3ob3o191b2o13bobo
4b2o334bobo337b2o6b2o$47b2o5bobo4bo5bo101b3ob3o191b2o12bobo341b2o$54bo
2bo4bo3bo102b3ob3o205bo$54bo2bo5b3o104b2ob2o37b2o$19b3o33b3o113b3o38b
2o63bo$38b4o14b3o113bo105bo$19bobo15b6o10b2ob3o217b3o255bo$18b5o13b8o
9b2o2b2o474bo532b2o$17b2o3b2o11b2o6b2o7bo204b3o117b3o117b3o33b3o81b3o
117b3o16b2o99b3o16b2o99b3o16b2o68b2o$17b2o3b2o12b8o8bob2o17bo182b5o
115b5o115b5o115b5o16b3o96b5o14b4o97b5o14b4o97b5o14b4o$37b6o10b3o16bobo
181b3ob2o114b3ob2o114b3ob2o18bo95b3ob2o16b3o95b3ob2o13b2ob2o7bo2bo85b
3ob2o13b2ob2o7bo2bo85b3ob2o13b2ob2o7bo2bo$38b4o12bo16bo3b2o182b2o118b
2o4bo2bo110b2o4bo2bo12bo97b2o4bo2bo6b3o2bo98b2o4bo2bo8b2o12bo87b2o4bo
2bo8b2o12bo20b4o63b2o4bo2bo8b2o12bo20b4o$20bo50bo3b2o3b2o307bo119bo9b
3o107bo5b2o112bo17bo3bo97bo17bo3bo19bo3bo73bo17bo3bo19bo3bo$18b2o51bo
3b2o3b2o303bo3bo115bo3bo115bo3bo115bo3bo18b4o93bo3bo18b4o9b2o12bo69bo
3bo18b4o9b2o12bo$72bobo311b4o116b4o116b4o116b4o116b4o29b2ob2o7bo2bo71b
4o29b2ob2o7bo2bo$14bo2bo55bo825b4o116b4o$12bobo2bo616b2o118b2o118b2o
24b2o92b2o24b2o$4b2o4b2o9bo364b3o117b3o117b3o4b4o109b3o4b4o109b3o4b4o
109b3o4b4o$4b2o4b2o6bo92bo2bo116bo2bo116bo2bo30b5o81bo2bo30b5o81bo2bo
30b5o3b2ob2o73bo2bo30b5o3b2ob2o73bo2bo30b5o3b2ob2o73bo2bo30b5o3b2ob2o$
10b2o8b2o93bo119bo36b2o81bo29b3ob2o84bo29b3ob2o84bo29b3ob2o4b2o78bo29b
3ob2o4b2o78bo29b3ob2o4b2o78bo29b3ob2o4b2o$12bobo96bo3bo115bo3bo37b2o
76bo3bo32b2o81bo3bo32b2o81bo3bo32b2o81bo3bo32b2o81bo3bo32b2o81bo3bo32b
2o$14bo97b4o116b4o36bo79b4o116b4o116b4o116b4o116b4o116b4o$123b4o116b4o
116b4o116b4o116b4o116b4o116b4o116b4o$122bo3bo115bo3bo40b2o73bo3bo115bo
3bo115bo3bo115bo3bo115bo3bo115bo3bo$13bo112bo119bo39b2o78bo119bo37bo
81bo119bo119bo119bo$12bobo107bo2bo116bo2bo42bo73bo2bo116bo2bo38b2o76bo
2bo116bo2bo116bo2bo116bo2bo$2o10b2obo507bobo$2o10b2ob2o139b2o$12b2obo
45bo38b2o53bobo15bo462bobo$12bobo24b6o16bo38b2o55bo15bobo459bo2bo176b
2o250b2o$13bo16b2o6bo6bo14bobo111bobo4b2o441b3o7b2o10b2o151b2o14bo2bo
248b2o$16b3o11b2o5bo8bo14bo112bo2bo3b2o441bo7b2o3bo8b2o152b2o17bo6b2o
148bo11b2o$16b3o19bo6bo15bo112bobo446bo10b2o5b2o156bo19bo6b2o147b2o11b
2o$39b6o16bo111bobo446bobo10bo2bo4bo165bo9bo133bo5b2o13b2o4b2o$30bo30b
o75b8o28bo274b2o10bo138b2o3bo2bo3b2o11bo11bobo170bo5bo2bo132bo3bo3b3o
11b3o4b2o2b2o$29b2o29bobo37b3o34bob4obo10b2o291b2o9bobo68b2o67b5o4b5o
101b2o64bo2bo4bo2bo23b2o86b2o50bo5b2obo9b2o4b2o2b2o$14b2o3b2o8bobo29bo
37b2ob2o33b8o11b2o118b2o106bo72b2o3bo14b2o39bo11b2o67b2o3bo2bo3b2o17bo
84bo62b3o2b6o2b3o14bo95bo45bo5bo4bo2bo10b2o12bo$15b5o41bo37b2ob2o51bo
121bo105b4o65b2o3b2o3bo13bobo38bobo7b2o6bo3b2o88bobo74b2o7bobo5bo56bo
2bo4bo2bo17bo85b2o7bobo5bo37b2o9b2obo11bo11b3o$16b3o80b5o164bobo6bobo
7bo81b3o10b2obobo3b2o59b2o3b2o3bo12b3o4b2o42b3o5bo3bobo87bo3bo73bobo7b
2o5b2o73b3o8bo73b2o10bobo7b2o5b2o11b2o32b3o10bo14bo3bo$17bo80b2o3b2o
152b2o7bo3bo7b2o4b4o62b2o29b3obo2bo2b2o66bobo12b3o4bo2b4o27bo2bo8b2o6b
5o89b3o77bo14b2o74bo81bob2o12bo14b2o10b2o32b2o9bobo13bob3obo63bo$38bo
7bo209bobo7bo16b4o10b3o48bo4bo28b2obobo60bo11bo6bo7b3o4b2ob3o27bo14b2o
4b3o76b3o9b2o3b2o67bo4bo2bo14b3o72bo83b2obo3bo4bo2bo14b3o55b2o14b5o63b
obo7b2o3b2o$37b4o5bobo115b3o98bo4bo12bo2bo60bo6bo28b4o59b2ob2o14b2o9bo
bo14bo2bob2obo2bo12bo12b2o85bo91bo9b2o3b2o157b3o12bo9b2o3b2o139bo3bo$
32b2o2bo2b2o8b2o4b2o57bo33bo14bo3bo90bo7bo16b4o59bo8bo10b2o16bo81b2o9b
2o14b4ob2ob4o11bo99bo55b2o6b2o17b3o4bobo6b2o6b2o26b2o6b2o46b2o3b2o47b
2o6b2o12b3o2b3o4bobo6b2o6b2o26b2o6b2o104bo3bo7bo3bo$32b2o2b2o11b2o4b2o
56bobo32b2o12bo5bo88bo8bo3bo6b2o5b4o58bo8bo9bobo77bo5bo41bo2bob2obo2bo
166bo2bo4bo2bo4b2o10b2o5b2o7bobo5bo20b2o4bo2bo4bo2bo46b5o47bo2bo4bo2bo
16b2o5b2o7bobo5bo14b3o9bo2bo4bo2bo103bo3bo8b3o$21b2o6b2o10bo7b2o62b2ob
o19bobo8bobo12bo5bo66bobo2bobo25bobo6bobo7bo23bo2b2o4b2o2bo21bo8bo11bo
155bo78b2o66b6o2b6o3b2o10b2o16bo26b2o4bo2bo4bo2bo46b2ob2o46b6o2b6o15b
2o16bo20bo11bo2bo4bo2bo103bo3bo8b3o$21b2o5b3o10bo4bobo64b2ob2o3b2o13bo
3bo24bo65b2obo2bo2bo2bob2o32bo30bo3b3o2b3o3bo21bo6bo90b2obob2o69b2ob2o
76b2o4bo62bo2bo4bo2bo5bo11bobo14b2o31bo2bo4bo2bo18b2o9b2o15b2ob2o47bo
2bo4bo2bo17bobo14b2o20bo10bo2bo4bo2bo28bo74bo3bo$29b2o10bo4bo66b2obo4b
2o3b2o12bo10b2o10bo3bo67bobo2bobo19b3o14b2o21b3o6bo2b2o4b2o2bo23bo4bo
237b2o6b2o6b5ob2o57b2o6b2o7b2o10bo49b2o6b2o19bobo7bobo16b3o49b2o6b2o7b
2o10bo49b2o6b2o30bo73bo3bo$17b2o13b2o79bobo10b2o8bo4bo7bo2bo7bo3b3o95b
3o37bo47b2o23bo132b2o10bo5bo64b2o5b3o5bo2b2o4bo72bobo40bo39b2o2b2o6bo
8bo5bo78bobo40bo37bo2b2o4b2o2bo6b3o74bobo$17b2o13b2o80bo25bo7bo7b2o3bo
3bo95bo3bo37bo70b3o81bobo46bobo89b2o5b2o8bo8b2o63bo39b3o38b2obo2bo2bo
2bo13bobo79bo39b3o35bo3b3o2b3o3bo83bo$118b2o16bo3bo7bo6bo5bo87b2o9bo5b
o106b5o80b2o49bo10b2obob2o75b2o4bo7bo8b2o71b2o3b2o25b3o42b2o6bo13b2obo
4b2o80b2o3b2o25b3o36bo2b2o4b2o2bo23bo$118b2o16bobo9bo7b5o87bobo10bo3bo
92b3o11bobobobo70b2o8bo7bo2bob2obo2bo123b2o12bo81b2o3b2o41b2o32bobo14b
2ob2o3b2o80b2o3b2o41b2o58b4o65bo5bo$149bo2bo11b2o84bo11b3o95bo11b2o3b
2o88b4ob2ob4o16b2o118bo13b2o68b5o24b2o3b2o11bobo31b2o15b2obo87b5o24b2o
3b2o11bobo58b4o57bo5bo5b3o$151b2o11b2o183bo9bo82b2o23bo2bob2obo2bo15bo
bo116b2o14b2o69bobo25b2o3b2o11bo50bobo9b2o78bobo25b2o3b2o11bo60bo2bo5b
2o48b2o6b3o3b3o$99bo18b3o170b5o14b2o36bobo91b2o40b2o7b3o4b2o4bo163b2o
85bo40bo10b2o48b2o85bo36b3o10b4o5b2o49b2o$98b2o6b2o10b3o113bobo53bob3o
bo13bobo9b2o12b2o10b2obo8bobo12bo63b2o43b2o6b3o4bo2b2obobo160bo3bo5bo
2b3o16b3o52b4o98bo3bo5bo2b3o16b3o52b4o47b4o68b2o3b2o$98bobo5bobo124bo
2bo3b2o49bo3bo14bo10b3o12b2o10b2ob2o6bo2bo11bobo54b2o5b3o52b3o4b3obo3b
o9b2o142b2o3bo5bo9bo3bo43bo13bobo6bobob2o9b2o80b2o3bo5bo9bo3bo43bo13bo
bo6bobob2o9b2o35bo71b2o3b2o$106bo117b2o6b2o5b3ob2o2b2o43b3o11bo11bob2o
9b2o15b2obo6b2o10b2o2bobo54b2o6b2o12b2o39bobo4b2obo3bo9b2o142b2o2b2obo
3bo8bo4bobo40bobo12bo3bo3bo2bob3o8b2o80b2o2b2obo3bo8bo4bobo40bobo12bo
3bo3bo2bob3o8b2o$224b2o4b2o3bo3bo3bo3bobo43bo12b2o10bo2bo4bo5bo15bobo
5b2o3bo8b2o3bo66b2o9b2o40b2o6b2o3bo158bo5bo16b2o4b2o31b2o4b2o12bo4bobo
b2o96bo5bo16b2o4b2o31b2o4b2o12bo4bobob2o$116b2o3b2o109b2o5bobo8bo7b2o
37b2o2b2o4b2o9bob2o5bo21bo8b2o5b2o7b2o66b2o61bobo14b2o144bo3bo17b2o4b
2o31b2o4b2o8bo4bo4b4o98bo3bo17b2o4b2o31b2o4b2o8bo4bo4b4o122bo$117b5o
111bo2bo2b2o6bo2bo7b2o37b2o2b2o4b3o11b3o3bo3bo27bo2bo4bo6b2o130bo15b2o
146b2o18b2o37b3o17bo7bo101b2o18b2o37b3o17bo7bo122bobo$118b3o113bobo13b
o50b2o4b2o13b2o5bo30bobo11b2o311bobo10b2o28bobo12bo3bo126bobo10b2o28bo
bo12bo3bo132b2o$119bo127bobo12b2o29b2o11b2o379bo12b2o29b2o12bobo128bo
12b2o29b2o12bobo134b2o$105bo7b3o131b2o13b2o29b2o11bo724b2o37b3o$104bob
o6bo917b3o35bobo$114bo907b2o9b2obo32b2o$1022bo5bo4bo2bo27bo$104b3o920b
o5b2obo5b3o18b2o$104b3o916bo3bo3b3o8b3o17b2o4b2o2b2o$105bo888bo30bo5b
2o8bo3bo15b3o4b2o2b2o$995b2o65b2o4b2o$116b3o875b2o44b2o3b2o16b2o$105bo
958bo$104b3o9bobo888bo$104b3o8b5o884b4o$114b2o3b2o313b2o553b3o11b4o9b
2o$114b2o3b2o312b2o556bo11bo2bo9b2o$104bobo321bo6bo6b2o546bo12b4o5bo
37b5o$105bo322b2o12bobo552b2o5b4o4bo36bob3obo$117bo301b2o2b2o4b2o11bo
553bobo8bo42bo3bo$118b2o299b2o2b2o4b3o564bo54b3o$423b2o4b2o564b2o45b2o
8bo$120bo307b2o8b2o602b2o$428bo9bobo$116bo2bo320bo557b2o$116b2o322b2o
543bo11bo3bo49b2o$984bobo9bo5bo3b2o43b2o$984b2o10bo3bob2o2b2o$996bo5bo
$439bo522bo6bo27bo3bo$439bobo8bo510b2o6b2o10b2o15b2o$428b2o12b2o6bo
509b3o6b3o10b2o$428b2o12b2o6bo510b2o6b2o10bo$442b2o518bo6bo$439bobo$
439bo27bo4bo516b3o$445bo19b2ob4ob2o513bo3bo$444bobo20bo4bo501bo$443bo
3bo526b2o11bo5bo$443b5o525bobo11b2o3b2o$442b2o3b2o9b2o504bo$443b5o9b2o
504bobo$444b3o12bo491b2o9bo3b2o8bo13bo$445bo505b2o9bo3b2o5b4o12bobo$
962bo3b2o4b4o9b2o2bobo$473bo489bobo6bo2bo9b2o4bo$466b2obo3b4o487bo7b4o
5bo9bo$460b2o2b2obobo4b4o5b2o488b4o4bo6bo2bo$459bobo2b2obob2o3bo2bo5b
2o491bo12b2o$449b2o7b3o8b2o3b4o$449b2o6b3o8b2o3b4o$458b3o12bo$445b2o
12bobo$445b2o13b2o!
succ

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muzik
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Re: Things to be discovered

Post by muzik » March 21st, 2017, 6:24 pm

I was more thinking of a huge display that displayed the numbers, with some sort of universal constructor in it, but that works as well

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Re: Things to be discovered

Post by dvgrn » March 22nd, 2017, 1:19 am

muzik wrote:I was more thinking of a huge display that displayed the numbers, with some sort of universal constructor in it, but that works as well
See also Calcyman's O(sqrt(log(t))) pattern in Golly's Help > Online Archives > Very Large Patterns collection, for a more straightforward binary counter implementation where you can actually decode a number from the triangular bit pattern.

For a pattern that displays actual large digits, it might be a lot easier to build something along the lines of the printer in Calcyman's phi/pi calculators. Arrange it so that the printer "cursor" erases any printed digits that it runs over, before it drops any new pixels -- and add a cursor reset mechanism.

Also maybe print backwards, in a fixed-width font, least significant digit first, so that each new most significant digit shows up in a new empty space, and ones/tens/hundreds/etc. are always displayed in the same location.

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Re: Things to be discovered

Post by Goldtiger997 » March 22nd, 2017, 4:28 am

In order:

- synthesis of a c/4 orthogonal spaceship
- syntheses of all oscillators up to 16 bits (2 left)
- syntheses of any other new speeds of spaceships
- syntheses of the remaining 20-bit pseudo still-lifes

I don't just want more synthesis-related things to be discovered; all the other discoveries I wanted that I can think of have already been said.

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Re: Things to be discovered

Post by gameoflifemaniac » March 26th, 2017, 3:56 am

A'propos the phi calculator, how about to make an updated version of it with all the parts named?
I was so socially awkward in the past and it will haunt me for the rest of my life.

Code: Select all

b4o25bo$o29bo$b3o3b3o2bob2o2bob2o2bo3bobo$4bobo3bob2o2bob2o2bobo3bobo$
4bobo3bobo5bo5bo3bobo$o3bobo3bobo5bo6b4o$b3o3b3o2bo5bo9bobo$24b4o!

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Re: Things to be discovered

Post by Saka » June 22nd, 2017, 9:07 pm

Another one of my absurd ideas is an LWSS gun that uses a gun that goes into a "side shooting" hiesenburp that goes into a glider splitter and then these 3 gliders get arranged and synthesize an LWSS. I tried this but it didn't work because of heisenburp troubles.

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Re: Things to be discovered

Post by muzik » June 23rd, 2017, 3:20 am

How about patterns that produce breeders, and in turn patterns that produce these patterns? Obviously this would have to be at a decreasing rate that disallows unwanted destruction.

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Re: Things to be discovered

Post by dvgrn » June 23rd, 2017, 8:06 am

muzik wrote:How about patterns that produce breeders, and in turn patterns that produce these patterns? Obviously this would have to be at a decreasing rate that disallows unwanted destruction.
That idea keeps coming up, including in threads that you started. The most thorough discussion is probably the super breeders? topic followed by Paul Tooke's Breeders topic, which is where the various Pianola breeder patterns are posted.

If the suggestion here is to look for such things in other rules than B3/S23, it seems like any stage above a breeder is going to have to be very highly engineered to make the breeder-making levels sufficiently sparse. Anyone interested in the details should read through the above links. We have more tools available for this kind of engineering in Conway's Life than pretty much any other rule, I think, except maybe for cases where the rules themselves are highly engineered.

This time around you've mentioned a level above breeder-makers -- an idea horrible enough to give any pattern-builder cold shudders, heebie-jeebies and nightmares simultaneously.

Step 1: build a working breeder-maker, building in a complex mechanism that allows for increasing sparsity, and/or solving all the awkward surplus-output suppression problems that will inevitably come up.
Step 2: figure out how to construct an infinite series of these huge and incredibly explosive things you've just invented.

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muzik
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Re: Things to be discovered

Post by muzik » June 23rd, 2017, 9:07 am

As a person who still can't fit their head around current universal constructor technology (not because my head is restricted to the 2D plane and can't move out of the way of the breeders), I don't think I'll be building such a pattern either.

On a similar topic, I don't think we've seen any quadratic growth patterns of forms MSS or SSM yet. The former would be something like a bricklayer puffer, which seems not too impossible to build, and the latter would be a stationary gun factory, which doesn't seem quite as easy at all.

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Re: Things to be discovered

Post by dvgrn » June 23rd, 2017, 9:56 am

muzik wrote:On a similar topic, I don't think we've seen any quadratic growth patterns of forms MSS or SSM yet. The former would be something like a bricklayer puffer, which seems not too impossible to build, and the latter would be a stationary gun factory, which doesn't seem quite as easy at all.
It really would be worth reading those "super breeder" and "breeder" links above, if you're interested in these kinds of things, before you send anyone else off on wild-goose chases. Short of that, just try a search in the super-breeder thread for "MSS" or "SSM".

-- Mind you, these things are kind of weird, and there are certainly worries about whether some of them really count. But they're definitely a good effort, and it seems better to keep the subtleties on those other threads.

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Re: Things to be discovered

Post by 83bismuth38 » June 24th, 2017, 2:36 pm

Saka wrote:Glider spacer machine
For example, feed this to the machine:

Code: Select all

x = 12, y = 12, rule = B3/S23
10bo$10b2o$9bobo4$4b3o$6bo$5bo$2o$b2o$o!
To turn it into this:

Code: Select all

x = 11, y = 11, rule = B3/S23
8b3o$10bo$9bo2$4b3o$6bo$5bo2$3o$2bo$bo!
idk why, but it looks like the gliders went to military camp and came back out well trained. :lol:
looking to support hive five (n+18) and charity's oboo reaction (2n+18)

Code: Select all

x = 28, y = 13, rule = B3/S23
19bo$3bo15bo4b2o$2bobo14bo4bobo$2bobo20b2o$3bo11b3o2$25b3o$b2o22b3o$o
2bo$b2o12b2o$10b2o2bobo$bo8b2o2b2o$obo7b2o!

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