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HighLife

For discussion of other cellular automata.

Re: HighLife

Postby muzik » June 18th, 2017, 6:23 am

"Neat" puffers which have emerged from soup so far:

x = 259, y = 16, rule = B36/S23
2b5obob2o2b2o103b2o2b2o3b3o2b2o113b2o2bob2o2bo$2obobob3obo3bo104b2ob2o
bobo2bob2o108b3o2b3o2b5o$2b2ob5obo2bo107bobo2bo2b5o108bo3bo2bobob2o$2o
4bob2obo2bo106bobobobo2bo112bo2bobo2bob2ob3o$2b2o2bob2o5bo104bo5bobobo
2b2o109bo2b2ob6obo$b2o5bob2o2bo104b3ob3o4bob3o109bobo2b3ob2o3bo$obobo
2b3obobo108bo4b2o2b3o110bob3o2bobobobo$2b2o4bobo2bobo103b2o2bo5b2obo
111b3o3b2o3bo$o4b3ob2ob3o106bobob3ob6o109b2o2bob4ob2o$4b7o2bobo105b3o
2b2obobobo109b2obo2b2o$3bo2b7obo104bo4bobobo3b3o109bob7o2bob2o$2b2o3b
3obo107bobobob2o2b2o3bo111bo3bo7bo$5b5obobobo103b2o3bo2bo3b4o108bobo3b
3obob4o$b2ob8o3bo105bo2b4o4b3o108b5obob4o2bo$2bob3ob5o2bo106bob3obobo
112b2o3b2ob2o2b3o$ob2o3b2obo3b2o103bo6b4obo2bo110b3obobo2b2o2bo!
2c/n spaceships project

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Re: HighLife

Postby muzik » June 22nd, 2017, 11:38 am

Putting two sierpinski generators side by side results in this weird extra skew triangle effect.

x = 86, y = 37, rule = B36/S23
2b3o76b3o$bo2bo76bo2bo$o3bo76bo3bo$o2bo78bo2bo$3o80b3o6$33bo18bo$32b3o
16b3o$31b3obo14bob3o$30b2o2b3o12b3o2b2o$29b2o3b2o14b2o3b2o$28b3o2b2o
16b2o2b3o$29bob3o6bo4bo6b3obo$30b3o7bo4bo7b3o$31bo8bo4bo8bo5$36b3o8b3o
$35bo3bo6bo3bo$35bo3bo6bo3bo$35bo3bo6bo3bo$36b3o8b3o5$34b3o12b3o$33bo
2bo12bo2bo$32bo3bo12bo3bo$32bo2bo14bo2bo$32b3o16b3o!



I believe this is the second smallest replicator, reproducing every 48 gens:
x = 17, y = 17, rule = B36/S23
7bo$2b3o3bo$bo$bo$bo2bo2bo$7bo$7bo$o3b3o$bo$10b3o$9bo5b2o$9bo4bo$9bo2$
11bo$10bo$10bo!
2c/n spaceships project

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Re: HighLife

Postby Naszvadi » September 5th, 2017, 2:24 pm

Naszvadi wrote:Just for fun: p30 technology-compatible glider gun in highlife. Works in rules b36/s23 - b368/s238. Rather unoptimized.
Period is 1440:

rle

...


The following "improved" version is sligthly smaller, works in the same totalistic rules:
#C [[ STEP 48 STOP 1440 ]]
x = 240, y = 269, rule = B36/S23
2o$2o34$46bo$45b2o$44bobo3bo$43b3o4bo4$45b2o20$185bo$185b3o$76b2o110bo
$187b2o3$72bo4b3o$72bo3bobo$76b2o$76bo11$206bo$94bo110b2o$93b2o110bobo
$92bobo3bo$91b3o4bo$142bo$142b3o$145bo$93b2o49b2o6$108b2o3$236bo$104bo
4b3o124bobo$104bo3bobo120b2o2bobo$108b2o121b2o4bo$108bo3$230bo$163b2o
64b2o$162bo2bo63bobo$163b3o72b2o$238b2o5$126bo$125b2o$124bobo3bo$123b
3o4bo2$189bo$189bobo$125b2o57b2o2bobo$184b2o4bo6$186bo3b2o$145b2o38bob
o4bo$137b2o6b2o38bo6bo$135b2o2bo46bo4bo$135bo2bo47b2o$146bo$147b2o$
139bo5b2o$136bo2bo7bo$137b2o32b2o4$169b3o4bo$170bobo3bo$171b2o$172bo
37$155bo$155b2o$155bobo$156b3o2$150b3o$151bobo$122bo29b2o$122b2o29bo$
118bo3bobo$118bo4b3o4$122b2o2$139bo$139b2o$139bobo$140b3o2$134b3o$135b
obo$136b2o$137bo24$107bo$107b2o$107bobo$108b3o$75b2o$102b3o$103bobo$
104b2o$73b3o4bo24bo$74bobo3bo$75b2o$76bo5$101b2o$101b2o20$54b2o$54b2o!
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Re: HighLife

Postby Naszvadi » September 6th, 2017, 3:29 pm

Naszvadi wrote:
Naszvadi wrote:Just for fun: p30 technology-compatible glider gun in highlife. Works in rules b36/s23 - b368/s238. Rather unoptimized.
Period is 1440:

rle

...


The following "improved" version is sligthly smaller, works in the same totalistic rules:
still bloated rle


p120 glider gun in Highlife, works in rules: B36cin/S23 - B35c6/S235enr7e8
x = 80, y = 71, rule = B36/S23
69b2o$69bo$67bobo$67b2o3$67bo$67bo2$21bo56b2o$19b3o56bo$18bo57bobo$18b
2o37bo18b2o$56b3o$56bob2o$59b2o11b2o$58b2o11b2o$72b2obo$73b3o$68bo5bo$
15b3o49b3o$15bobo49bob2o$15b3o52b2o$16bo52b2o$35b2o8b2o$2o33bo8b2o$bo
30b2obo9b2obo$bobo20bo9bo11b3o$2b2o20bo3bo12bo5bo$12b2o9bob2o3bo9b3o$
11b2obo9bo3bo3bo7bob2o$12b2o10bo18b2o$19bo22b2o$20b2o$19b2o$52b2o$51b
2o$52b2obo$25bo27b3o$26b2o26bo$25b2o7$39bo$38bob2o2$40bob2o$36bo$37b2o
16$55bo$56b2o$55b2o!


It lacks B8 support compared with the previous p1440 gun :?
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Re: HighLife

Postby Naszvadi » September 7th, 2017, 10:50 am

Naszvadi wrote:
Naszvadi wrote:
Naszvadi wrote:Just for fun: p30 technology-compatible glider gun in highlife. Works in rules b36/s23 - b368/s238. Rather unoptimized.
Period is 1440:

rle

...


The following "improved" version is sligthly smaller, works in the same totalistic rules:
still bloated rle


p120 glider gun in Highlife, works in rules: B36cin/S23 - B35c6/S235enr7e8
does not work in so many rules.rle


It lacks B8 support compared with the previous p1440 gun :?


Finally, a p120 gun - B36ckn/S23 - B34z5ek67e8/S234cz6i8:

x = 115, y = 105, rule = B36/S23
2o$2o10bo$11b2o$10bobo$9b3o2$15b3o$14bobo$14b2o$14bo8$28bo$27b2o$26bob
o3bo$25b3o4bo2$34b2o2$27b2o2$30bo4b3o$30bo3bobo$34b2o$34bo5bo$39b2o$
38bobo3bo$37b3o4bo2$46b2o2$39b2o2$42bo4b3o$42bo3bobo$46b2o$46bo5bo$51b
2o$50bobo$49b3o2$55b3o$54bobo$54b2o$54bo5bo$59b2o$58bobo$57b3o2$63b3o$
62bobo$62b2o$62bo4$72bo$71b2o$70bobo3bo$69b3o4bo4$71b2o10$90b2o4$86bo
4b3o$86bo3bobo$90b2o$90bo6$108b2o$109b2o$108bo3$111b2o$111b2o3$112bo$
113b2o$111b2o$103b2o8bo$103b2o!
[[ STOP 120 ]]
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Re: HighLife

Postby AbhpzTa » October 4th, 2017, 2:57 pm

Replicator-based (1,1)c/18 p144 mod72 spaceship:
x = 601, y = 588, rule = B36/S23
315b3o7$330b3o$329bo2bo$328bo3bo$328bo2bo$328b3o3b3o$333bo2bo$332bo3bo
$332bo2bo$332b3o5$352bo$352bo10$353bobo$356bo$352bo3bo$356bo$353bo2bo$
354b3o13$385b2o$386b2o$383bob2o$383b3o$384bo5bo$389b3o$388b2obo$387b2o
$388b2o13$329b2o$330b2o66b3o$329bo67bo5b2o$397bo4bo$397bo2$399bo$398bo
$398bo4$414bo$414bo$413bo2$415bo$410bo4bo$408b2o5bo$412b3o6$345bobo$
348bo$344bo3bo$348bo$345bo2bo$346b3o13$406bobo$301b2o103b2o$302b2o103b
o$301bo8$441bo$440b2o$439bobo3bo$438b3o4bo4$440b2o6$455b2o4$362bobo$
362b2o$363bo7$454b2o8$273b2o$274b2o61bobo$273bo66bo$336bo3bo$340bo$
337bo2bo$338b3o5$318bobo$318b2o$319bo$485b2o4$481bo4b3o$481bo3bobo$
485b2o$485bo13$502b2o$503b2o$500bob2o$500b3o$501bo$274bobo$274b2o$275b
o3$245b2o$246b2o$245bo4$519bo$518b3o$517b2obo$516b2o$517b2o11$329bobo$
332bo$230bobo95bo3bo$230b2o100bo$231bo97bo2bo$330b3o$550b2o$551b2o$
548bob2o$548b3o$549bo5$558bo$557b3o13bo$556bo2bo12bobo$555b2ob2o12bobo
bo$556bobobo12b2ob2o$558bobo12bo2bo$559bo13b3o$574bo$217b2o$218b2o$
217bo5$186bobo$186b2o$187bo11$599bo$598b3o$597b2obo$596b2o$597b2o8$
583bo$581bo3bo$586bo$142bobo436bo4bo$142b2o438b5o$143bo3$519bo$321bobo
193bo3bo$324bo197bo$320bo3bo192bo4bo$189b2o133bo193b5o$190b2o129bo2bo$
189bo132b3o2$455bo$453bo3bo$458bo$453bo4bo$454b5o4$391bo$389bo3bo$394b
o$389bo4bo$390b5o3$98bobo$98b2o227bo$99bo225bo3bo$330bo$325bo4bo$7b3o
316b5o$3o3bo2bo$5bo3bo$5bo2bo$5b3o3b3o249bo$10bo2bo247bo3bo$9bo3bo252b
o$9bo2bo248bo4bo$9b3o3b3o244b5o$14bo2bo$13bo3bo$13bo2bo$13b3o3b3o177bo
$18bo2bo175bo3bo$17bo3bo180bo$17bo2bo176bo4bo$17b3o3b3o172b5o$22bo2bo$
21bo3bo$21bo2bo$21b3o3b3o105bo25b2o$26bo2bo103bo3bo24b2o$25bo3bo108bo
22bo$25bo2bo25bobo76bo4bo$25b3o26b2o78b5o$55bo3$71bo$69bo3bo$74bo$69bo
4bo$70b5o5$313bobo$316bo$312bo3bo$316bo$313bo2bo$314b3o5$41b2o$42b2o$
39bob2o$39b3o$40bo5bo$45b3o$44b2obo$43b2o$44b2o3b2o$50b2o$47bob2o$47b
3o$48bo5bo$53b3o$52b2obo$51b2o$52b2o$133b2o$134b2o$133bo4$79b2o$77bo2b
o$74bo5b2o$73b2ob2o4b4o$73b2obo6bo2bo$76b2o4b2o$73b3o7bob2o$73b2o5bo3b
o$71b2ob2o3bo3bo$75b2o2bo2bo$78bo13$94b3o$93bo5b2o$93bo4bo$93bo8bo$
102bo$95bo5bo$94bo$94bo8bo$98bo4bo201bobo$96b2o5bo13bo190bo$100b3o13b
2o186bo3bo$115bobo3bo186bo$114b3o4bo183bo2bo$306b3o$123b2o2$116b2o2$
119bo4b3o$119bo3bobo$123b2o$123bo4$133bo$132b2o$131bobo3bo$130b3o4bo2$
139b2o2$132b2o2$135bo4b3o$135bo3bobo$139b2o$139bo18$168bo$167b2o$166bo
bo3bo$165b3o4bo2$174b2o2$167b2o2$170bo4b3o$170bo3bobo$174b2o$174bo5$
297bobo$300bo$296bo3bo$300bo$297bo2bo$298b3o26$216b2o$217b2o$214bob2o$
214b3o$215bo4$225bo$224b3o$223bo2bo$222bob2o$221b3o$221bobo$222b2o$
222bobo$222b3o$220b2obo$219bo2bo$219b3o$220bo4$230bo$229b3o$228b2obo$
227b2o$228b2o4$237b2o$238b2o49bobo$235bob2o53bo$235b3o50bo3bo$236bo55b
o$289bo2bo$290b3o2$246bo$245b3o$244b2obo$243b2o$244b2o20$258b2o$259b2o
$256bob2o$256b3o$257bo4$267bo$266b3o$265b2obo$264b2o$265b2o$281b2o!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
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Re: HighLife

Postby dvgrn » October 4th, 2017, 3:17 pm

AbhpzTa wrote:Replicator-based (1,1)c/18 p144 mod72 spaceship...

Wow! @Calcyman and Helmut Postl take notice -- this is, shall we say, a bit smaller than a Basilisk.

(I haven't missed hearing about other new velocities in HighLife using this kind of replicator-based cleverness since 2013, have I? This seems very new and impressive to me, but sometimes it turns out I just wasn't paying attention.)
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Re: HighLife

Postby muzik » October 4th, 2017, 3:33 pm

Something similar was devised in tHighLife earlier as well.


Does this prove that all rules with a replicator and small natural spaceships have a less obvious family of adjustable spaceships?
2c/n spaceships project

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Re: HighLife

Postby BlinkerSpawn » October 4th, 2017, 4:06 pm

muzik wrote:Does this prove that all rules with a replicator and small natural spaceships have a less obvious family of adjustable spaceships?

This is in no wise a "proof"; while the technique applied is general enough, the specific ways in which replicators interact with other replicators and/or spaceships can allow or prohibit certain setups.
On a different note, these spaceships are considered engineerable, not adjustable, last I heard.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
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Re: HighLife

Postby dvgrn » October 11th, 2017, 10:47 am

BlinkerSpawn wrote:On a different note, these spaceships are considered engineerable, not adjustable, last I heard.

My understanding was that people had kind of mostly agreed to never use "engineerable" again, because it was too confusing... so "adjustable" seems good. Might be worth tracking down remaining uses of "engineerable" in the LifeWiki --?

EDIT: Thanks for the wiki edit, muzik! I took out one more instance of "engineerable" but was careful to leave the "formerly known as..." mention of the term. Didn't want to do all that on my own -- it was entirely possible that it was just my own mental limitations that made me take ten minutes to figure out the difference between "engineered" and "engineerable", each time one of those terms was used.
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Re: HighLife

Postby AbhpzTa » November 1st, 2017, 1:53 pm

Replicator-based (1,1)c/12 p192 mod96 spaceship:
x = 703, y = 694, rule = B36/S23
352bo$343bo7b2o$343bo6b2ob2o$343bo5bo4bo$348bo6b2o$347b2o5b2o$346b2o6b
o$348bo4bo$348b2ob2o$350b2o$350bo22$384bo$383b2o$382b2ob2o$381bo4bo$
380bo6b2o$379b2o5b2o$378b2o6bo$380bo4bo$380b2ob2o$382b2o$382bo27bo$
405b3o3bo$404bo$404bo$404bo2bo2bo$410bo$410bo$403bo3b3o$404bo8$426bo$
421b3o3bo$420bo$420bo$420bo2bo2bo$426bo$426bo$419bo3b3o$420bo8$442bo$
437b3o3bo$436bo$436bo$436bo2bo2bo$366b2o74bo$367b2o5bobo65bo$366bo10bo
57bo3b3o$373bo3bo58bo$377bo$374bo2bo$375b3o8$461bo$460bobo$460b2o3$
462bo$455b2o5bo3bo$454bobo5bo3bo$455bo3b6obo$462bo$462bo2$460b3o30$
500b3o2$500bo$500bo114bo$496bob6o111bo$496bo3bo114bo$496bo3bo$500bo$
334b2o$335b2o$334bo8$627bo$626b2o$625bobo3bo$624b3o4bo$496bobo$496b2o$
497bo$358bobo265b2o$361bo$357bo3bo$361bo$358bo2bo$359b3o$641b2o4$637bo
4b3o$637bo3bobo$641b2o$641bo16$432bobo$432b2o$433bo2$551b3o$550bo5b2o$
550bo4bo$550bo2$552bo$551bo$551bo62bo$614bobo$614b2o2$567bo$567bo$566b
o$302b2o364b2o$303b2o263bo100b2o$302bo260bo4bo97bob2o$561b2o5bo97b3o$
565b3o99bo10$368bobo$368b2o$369bo16$701bo$342bobo355b3o$345bo353b2obo$
341bo3bo352b2o$345bo353b2o$342bo2bo$343b3o7$683bo$304bobo374bo3bo$304b
2o380bo$305bo375bo4bo$682b5o12$603bo$601bo3bo$606bo$270b2o329bo4bo$
271b2o329b5o$270bo11$523bo$240bobo278bo3bo$240b2o284bo$241bo279bo4bo$
522b5o12$443bo$441bo3bo$446bo$441bo4bo$442b5o12$363bo$176bobo182bo3bo$
176b2o188bo$177bo183bo4bo$326bobo33b5o$329bo$325bo3bo$329bo$326bo2bo$
327b3o7$283bo$281bo3bo$286bo$238b2o41bo4bo$239b2o41b5o$238bo11$203bo$
112bobo86bo3bo$2b3o5b3o99b2o92bo$113bo87bo4bo$obobobo195b5o$o5bo$obobo
bo2$2b3o8$123bo$121bo3bo$126bo$121bo4bo$122b5o$31bo$30b2o$29b2ob2o$28b
o4bo$27bo6b2o$26b2o5b2o$25b2o6bo$27bo4bo$27b2ob2o$29b2o$29bo2$39bo8bob
o$30b2obo6b5o3b2o$30b2obo10bo4bo$25b2o3b2o12bo$24bob2ob3o$27b2ob2o$23b
2o3b3o$22b2o3b3o2$26bo2bo3$28b2o6$206b2o$207b2o101bobo$206bo106bo$309b
o3bo$313bo$310bo2bo$311b3o21$74bo$69b3o3bo$68bo$68bo$68bo2bo2bo$74bo$
74bo$67bo3b3o$68bo8$90bo$85b3o3bo$84bo$84bo$84bo2bo2bo$90bo$90bo$83bo
3b3o$84bo13$174b2o$175b2o$174bo9$118bo$118bo3bo$118bo3bo$115b6obo$118b
o$118bo$294bobo$116b3o178bo$293bo3bo$297bo$294bo2bo$295b3o18$148b3o2$
148bo$148bo$144bob6o$144bo3bo$144bo3bo$148bo15$171b3o$170bo5b2o$170bo
4bo$170bo2$172bo$171bo$171bo4$187bo$187bo$186bo2$188bo$183bo4bo$181b2o
5bo$185b3o14$203b3o$202bo5b2o$202bo4bo$202bo75bobo$281bo$204bo72bo3bo$
203bo77bo$203bo74bo2bo$279b3o3$219bo$219bo$218bo2$220bo$215bo4bo$213b
2o5bo$217b3o6$217b3o$219bo$218bo22$142bobo$142bo2bo$142bobo5$147b2o2$
139b3o2$143bo4b3o$143bo3bobo$147b2o$147bo12$165bo$164b2o$163bobo3bo$
162b3o4bo4$164b2o2$262bobo$182bo82bo$180b3o78bo3bo$265bo$179bo82bo2bo$
179bo2bo2b3o75b3o$179bo2bo4bo$179b3o4bo$175bo6bo$175bobo$178bo$179bo
38$235bo$234b3o$233b2obo$232b2o$233b2o!


EDIT: Replicator-based (1,1)c/30 p120 mod120 in-a-column spaceship:
x = 292, y = 292, rule = B36/S23
b3o7b3o$o5b2o3bo$o4bo6bo$o2$2bo$bo$bo4$17bo$17bo$16bo9$23bo$23bo$16bo
5bo$15bo$15bo8bo12b3o$19bo4bo12bo$17b2o5bo13bo$21b3o23$63b3o$63bo$64bo
8$57b3o$56bo5b2o$56bo4bo$56bo2$58bo$57bo$57bo4$73bo$73bo$72bo2$74bo$
69bo4bo14b3o$67b2o5bo14bo$71b3o16bo6$81b3o$80bo5b2o$80bo4bo$80bo8bo$
89bo$82bo5bo$81bo$81bo8bo$85bo4bo$83b2o5bo$87b3o6$101b3o$100bo2bo$99bo
3bo11b3o$99bo2bo12bo$99b3o14bo4$109b3o$108bo2bo$107bo3bo$107bo2bo$107b
3o12$125b3o$124bo2bo$123bo3bo$123bo2bo$123b3o15b3o$141bo$142bo2$133b3o
$132bo2bo$131bo3bo$131bo2bo$131b3o11$163bo$162b2o$161bobo3bo$160b3o4bo
2$169b2o2$162b2o2$165bo4b3o$165bo3bobo$169b2o$169bo4$179bo$178b2o$177b
obo3bo$176b3o4bo4$178b2o14$201b2o4$203bo$201bobo$202b2o2$195bo2$192bo$
191bo$192bo12$209b3o$208bo2bo$207bo3bo$207bo2bo$207b3o9$213b3o$212bo2b
o21bo$211bo3bo19bobo$211bo2bo21b2o$211b3o12$229b3o$228bo2bo$227bo3bo$
227bo2bo$227b3o9$243bo$242b2o$241b2ob2o$240bo4bo$239bo6b2o$238b2o5b2o$
237b2o6bo25bo$239bo4bo24bobo$239b2ob2o26b2o$241b2o22bo$241bo21b2obo$
262bo2b2o$262bob3o$262b5o$264b2o$273bo$272b2o$271b2ob2o$270bo4bo$257b
2o10bo6b2o$256b5o7b2o5b2o$256b3obo6b2o6bo$256b2o2bo8bo4bo$256bob2o9b2o
b2o$257bo13b2o$271bo9$290bo$289b3o$287bo2b2o$286bo3bo$287bobo$288bo!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa
 
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Re: HighLife

Postby Goldtiger997 » November 9th, 2017, 7:57 am

If anyone can make this constellation in 3-gliders, it will almost definitely result in a reduction (down from 10) of the synthesis of the c/98 HighLife spaceship:

x = 46, y = 27, rule = B36/S23
8$18b2o13b2o$18b2o13b2o$18b2o13b2o$15b2o19b2o$14bobo19bobo$16bo3b2o9b
2o3bo$20bobo7bobo$21bo9bo!


And nice work on the replicator based ships, AbhpzTa!
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