## HighLife

For discussion of other cellular automata.

Smaller c/6.
x = 17, y = 67, rule = B36/S235bob3obo$5bo5bo$3b2o7b2o$2bob2o5b2obo$3bob2o3b2obo$8bo2$6bobobo$6b5o$7bobo$6b2ob2o$6bo3bo$4b2o5b2o$4b2o5b2o$5bo5bo2$3b2o7b2o$5bo5bo$5bo5bo$2bo11bo$bobo9bobo$3bobo5bobo$3b2o7b2o$b2o11b2o$o2bo9bo2bo$bo4bo3bo4bo$bo4b5o4bo$6bobobo$2bo4bobo4bo$bobobo5bobobo$bo3bo2bo2bo3bo$5bobobobo$5b2o3b2o$4bobo3bobo$4bo7bo$3b3o5b3o$3b2o7b2o$7b3o$7b3o$3b3o5b3o4$7b3o$8bo$5bo5bo$3b2ob2ob2ob2o$7bobo$3b2ob2ob2ob2o$5bo5bo2$3b4obob4o$2bob2o5b2obo$2b2o9b2o$4b9o2$5b3ob3o$6b2ob2o$4bo7bo$5b2obob2o$7bobo$4b2ob3ob2o$7b3o3$7bobo$8bo! -Josh Ball. velcrorex Posts: 339 Joined: November 1st, 2009, 1:33 pm ### Re: HighLife Surprisingly long (2,1)c/7 partial: x = 9, y = 38, rule = B36/S232bo$2b2o$2b3o$4b2o$4bo$3b2o$2bobo$b2o2$o2b2o$bo2b2o$3b4o$4bobo$4b2o$4bo$2b3o2$2bobo$2b3o$2bob2o$5bo$2bo2b2o2$2b2obo$2bob2o$b2obobo$b3ob2o$5bobo$5bo$3bobo$3bo$3b3o$3bob2o$2bo2b2o$3bobobo$2b2o3bo$2o4b2o$obob3o! Things to work on: - Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules) - Find a C/10 in JustFriends - Find a C/10 in Day and Night AforAmpere Posts: 986 Joined: July 1st, 2016, 3:58 pm ### Re: HighLife Can anyone attach this to a 2c/5 ship? x = 64, y = 25, rule = B36/S2361b3o$61bobo$56b3o2bo$52bobo2bo$51bobo4bo$47bo2b5o$46b3o3bo$42b2o2bo$40bobo$36b3obo3bo$36bobo3bo$31b3o2bo$27bobo2bo$26bobo4bo$22bo2b5o$21b3o3bo$17b2o2bo$15bobo$11b3obo3bo$11bobo3bo$6b3o2bo$2bobo2bo$bobo4bo$5o$2bo! -Josh Ball. velcrorex Posts: 339 Joined: November 1st, 2009, 1:33 pm ### Re: HighLife velcrorex wrote:Can anyone attach this to a 2c/5 ship? x = 64, y = 25, rule = B36/S2361b3o$61bobo$56b3o2bo$52bobo2bo$51bobo4bo$47bo2b5o$46b3o3bo$42b2o2bo$40bobo$36b3obo3bo$36bobo3bo$31b3o2bo$27bobo2bo$26bobo4bo$22bo2b5o$21b3o3bo$17b2o2bo$15bobo$11b3obo3bo$11bobo3bo$6b3o2bo$2bobo2bo$bobo4bo$5o$2bo! Neither glider 20416 nor velcrorex's 2c/5 supports your wave. A new ship is required. x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o$2o! LaundryPizza03 at Wikipedia LaundryPizza03 Posts: 265 Joined: December 15th, 2017, 12:05 am Location: Unidentified location "https://en.wikipedia.org/wiki/Texas" ### Re: HighLife LaundryPizza03 wrote:(snip) velcrorex's 2c/5 supports your wave (snip) You do realise the person you're replying to is velcrorex, right? 77topaz Posts: 1345 Joined: January 12th, 2018, 9:19 pm ### Re: HighLife p72 circuitry, known gun, known p96-glider-turner-corner as a p72 and a new inline inverter: #C B36ckn/S23 - B35ek67e8/S234c6i8 incl. Highlifex = 104, y = 110, rule = B368/S2382o$2o14bo$11b3o3bo$10bo$10bo$10bo2bo2bo$16bo$16bo$9bo3b3o$10bo5$23b3o$22bo5b2o56b2o$22bo4bo43bo14b2o$22bo47bo3b3o$77bo$24bo52bo$23bo47bo2bo2bo$23bo11bo35bo$35bo35bo$34bo37b3o3bo$77bo$31b2o3bo$30bo4b2o$29b2o4b2o$30b2o$30b3o29b3o$31b2o25b2o5bo$30bo2bo26bo4bo$31b2o32bo2$63bo$64bo$64bo3$47b2o$47b2o6b2o$54bo2bo$54bo2b2ob3o$46bo9b2o2bo$46bobo6b3o3bo$45bobo7b2o$47bo6bo2bo$55b2o13$78b3o$70b2o6bo$69bobo7bo$71bo4$101bo$99b2o$95b2o4b2o$95b2o3bo6$97b2o3bo$96bo3b2obo$96bo2b3obo$52b2o43b4obo$51bobo32bo11bo$53bo32bo$87bo2$85bo$85bo4bo$85bo5b2o$86b3o5$73bo$72bo3b3o$79bo$79bo$73bo2bo2bo$34b2o37bo$33bobo37bo$35bo38b3o3bo$79bo8$71b2o$71b2o! [APPEND] #C p144 signal duplicator (output=MWSS+glider)x = 156, y = 38, rule = B368/S23854bo$55b2o17bo80bo$7b2o45b2o16b3o13b2o63b3o$8b2o61bo17b2o61bo$5bob2o62b2o13bob2o62b2o$2o3b3o73b2o3b3o$2o4bo5bo41b3o24b2o4bo5bo41b3o$11b3o42bo35b3o42bo$10b2obo41bo35b2obo41bo$9b2o46b2o2bo28b2o46b2o2bo$10b2o3b2o39bo4bo29b2o3b2o39bo4bo$16b2o38bo4bo35b2o38bo4bo$13bob2o43b5o29bob2o43b5o$13b3o43bobo32b3o43bobo$14bo41b5o34bo41b5o$59bo4bo75bo4bo$59bo4bo75bo4bo$59bo2b2o76bo2b2o5$28bo80bo$27b3o78b3o$26b2obo6b3o68b2obo6b3o$25b2o11bo67b2o11bo$26b2o9bo69b2o9bo2$46b2o79b2o$39b2o4bobo72b2o4bobo$39b2o4bo74b2o4bo$44b2o79b2o2$41bo80bo$39bobo78bobo$40bobo78bobo$31b2o7bo71b2o7bo$31b2o79b2o!

Searched for a small and appropriate p144 osc. and used a p72 gun.

Posts: 333
Joined: May 7th, 2016, 8:53 am

### Re: HighLife

A period 49056 polyglot gun:
#C P49056 HighLife Gun (Naszvadi)#C [[ STOP 49056 ]]x = 177, y = 155, rule = B368/S2382o$2o2$13b3o$12bo2bo$11bo3bo$11bo2bo$11b3o118$175b2o$175bo$173bobo$173b2o18$153bo7b2o$151b4o6b2o$154bo$151b2o$162bo$163b2o$161b2o$153bo9bo$153b2o! LWSS-to-Glider one-time conversion reaction: #C [[ STOP 134 ]]x = 6, y = 11, rule = B36/S23bo$obo$obo$bo3$2b3o$2bo2bo$2bo$2bo$3bobo! Naszvadi Posts: 333 Joined: May 7th, 2016, 8:53 am ### Re: HighLife Patterns/reactions wishlist: 1. I wonder if there are a small HighLife#Bomber eater with period 96, 48 or lower 2. Small guns with high periods (5000, 10000 or more) emitting only one glider per period Partials: #C [[ STOP 81 ]]x = 26, y = 31, rule = B36/S232o$bo$bobo$2b2o13$16b3o$15bo2bo$14bo3bo$14bo2bo$14b3o$23b3o7$20b3o$20bobo$20b3o! #UPDATE #1: p96 "eater" (basically it is an ordinary eater and a p96 replicator-based gun) x = 41, y = 69, rule = B36/S236b2o$6b2o8$10bo$9b2o$8bobo$7b3o2$13b3o$12bobo$12b2o$12bo8$31b2o$31b2o$22bobo$22b2o$23bo4$24b2o4bo$24b2o2bobo$29bobo$29bo12$2b2o$3bo$3o$o6$28b3o$27bo2bo$26bo3bo$26bo2bo$26b3o2$38b3o$38bobo$38b3o$31bo$31bo$31bo!

#UPDATE #2:

Bomber-to-glider:
x = 33, y = 61, rule = B36/S2386b2o$6b2o5$10bo$9b2o$8b2ob2o$7bo$6bo5bobo$5b2o$4b2o6bobobo$6bo4bo4bo$6bobobo6b2o$16b2o$8bobo5bo$15bo$10b2ob2o$12b2o$12bo5$31b2o$31b2o2$21bo$20bo$20b3o3$24b2o3bo$24b2o4b2o$28b2o$30bo8$16b3o$15bo3bo$14bo4bo$13bo2bo2bo$2b2o9bo4bo$3bo9bo3bo$3o11b3o6b3o$o5$21bo$20b3o$19b2ob2o$20b3o$21bo!

Posts: 333
Joined: May 7th, 2016, 8:53 am

### Re: HighLife

Weird effect:
x = 233, y = 120, rule = B36/S23226b3o$229bo$224bobo3bo$231bo$222bobo7bo$225bo6bo$220bobo3bo3bobo$220bo6bo$220bo7bobo$221bo$222bo3bobo$223bo$4b3o217b3o$3bo$2bo3bobo$bo$o7bobo199b3o$o6bo205bo$obo3bo3bobo195bobo3bo$5bo6bo202bo$2bobo7bo193bobo7bo$11bo197bo6bo$4bobo3bo193bobo3bo3bobo$9bo24bo169bo6bo$6b3o24bo170bo7bobo$34b3o168bo$34b4o168bo3bobo$30bo2bo3bo169bo$20b3o6bob2o175b3o$19bo11b2o7b2o174bo$18bo3bobo6b2o8b3o173bo$17bo14b2o7b2obo169b3o$16bo7bobo15bobo168b4o$16bo6bo11bo177bo3bo2bo$16bobo3bo3bobo6b3o180b2obo$21bo6bo7b4o170b2o6b2o$18bobo7bo10bo169b2o7b2o$27bo10bo170b2o6b2o$20bobo3bo180bobo$25bo182b2o$22b3o190bo$213b3o$212b3o$214bo$212b2o3$48bo31bo31bo19bo31bo31bo$47bo3b3o25bo3b3o25bo3b3o9b3o3bo25b3o3bo25b3o3bo$54bo31bo31bo7bo31bo31bo$54bo31bo31bo7bo31bo31bo$48bo2bo2bo25bo2bo2bo25bo2bo2bo7bo2bo2bo25bo2bo2bo25bo2bo2bo$48bo31bo31bo19bo31bo31bo$48bo31bo31bo19bo31bo31bo$49b3o3bo25b3o3bo25b3o3bo5bo3b3o25bo3b3o25bo3b3o$54bo31bo31bo7bo31bo31bo24$48bo147bo$47bo3b3o137b3o3bo$54bo135bo$54bo135bo$48bo2bo2bo135bo2bo2bo$48bo147bo$48bo147bo$49b3o3bo133bo3b3o$54bo135bo24$48bo147bo$47bo3b3o137b3o3bo$54bo135bo$54bo135bo$48bo2bo2bo135bo2bo2bo$48bo147bo$48bo147bo$49b3o3bo133bo3b3o$54bo135bo! Considerably weirder effects: x = 245, y = 245, rule = B36/S23226b3o$229bo$224bobo3bo$231bo$222bobo7bo$225bo6bo$220bobo3bo3bobo$220bo6bo$220bo7bobo$221bo$222bo3bobo$223bo$4b3o217b3o$3bo$2bo3bobo$bo$o7bobo199b3o$o6bo205bo$obo3bo3bobo195bobo3bo$5bo6bo202bo$2bobo7bo193bobo7bo$11bo197bo6bo$4bobo3bo193bobo3bo3bobo$9bo24bo169bo6bo$6b3o24bo170bo7bobo$34b3o168bo$34b4o168bo3bobo$30bo2bo3bo169bo$20b3o6bob2o175b3o$19bo11b2o7b2o174bo$18bo3bobo6b2o8b3o173bo$17bo14b2o7b2obo169b3o$16bo7bobo15bobo168b4o$16bo6bo11bo177bo3bo2bo$16bobo3bo3bobo6b3o180b2obo$21bo6bo7b4o170b2o6b2o$18bobo7bo10bo169b2o7b2o$27bo10bo170b2o6b2o$20bobo3bo180bobo$25bo182b2o$22b3o190bo$213b3o$212b3o$214bo$212b2o3$48bo31bo31bo19bo31bo31bo$47bo3b3o25bo3b3o25bo3b3o9b3o3bo25b3o3bo25b3o3bo$54bo31bo31bo7bo31bo31bo$54bo31bo31bo7bo31bo31bo$48bo2bo2bo25bo2bo2bo25bo2bo2bo7bo2bo2bo25bo2bo2bo25bo2bo2bo$48bo31bo31bo19bo31bo31bo$48bo31bo31bo19bo31bo31bo$49b3o3bo25b3o3bo25b3o3bo5bo3b3o25bo3b3o25bo3b3o$54bo31bo31bo7bo31bo31bo24$48bo147bo$47bo3b3o137b3o3bo$54bo135bo$54bo135bo$48bo2bo2bo135bo2bo2bo$48bo147bo$48bo147bo$49b3o3bo133bo3b3o$54bo135bo24$48bo147bo$47bo3b3o137b3o3bo$54bo135bo$54bo135bo$48bo2bo2bo135bo2bo2bo$48bo147bo$48bo147bo$49b3o3bo133bo3b3o$54bo135bo6$54bo135bo$49b3o3bo133bo3b3o$48bo147bo$48bo147bo$48bo2bo2bo135bo2bo2bo$54bo135bo$54bo135bo$47bo3b3o137b3o3bo$48bo147bo24$54bo135bo$49b3o3bo133bo3b3o$48bo147bo$48bo147bo$48bo2bo2bo135bo2bo2bo$54bo135bo$54bo135bo$47bo3b3o137b3o3bo$48bo147bo24$54bo31bo31bo7bo31bo31bo$49b3o3bo25b3o3bo25b3o3bo5bo3b3o25bo3b3o25bo3b3o$48bo31bo31bo19bo31bo31bo$48bo31bo31bo19bo31bo31bo$48bo2bo2bo25bo2bo2bo25bo2bo2bo7bo2bo2bo25bo2bo2bo25bo2bo2bo$54bo31bo31bo7bo31bo31bo$54bo31bo31bo7bo31bo31bo$47bo3b3o25bo3b3o25bo3b3o9b3o3bo25b3o3bo25b3o3bo$48bo31bo31bo19bo31bo31bo3$31b2o$30bo$30b3o$29b3o$29bo190b3o$35b2o182bo$35bobo180bo3bobo$26b2o6b2o170bo10bo$25b2o7b2o169bo10bo7bobo$25b2o6b2o170b4o7bo6bo$23bob2o180b3o6bobo3bo3bobo$24bo2bo3bo177bo11bo6bo$28b4o168bobo15bobo7bo$28b3o169bob2o7b2o14bo$27bo173b3o8b2o6bobo3bo$28bo174b2o7b2o11bo$34b3o175b2obo6b3o$37bo169bo3bo2bo$32bobo3bo168b4o$39bo168b3o$30bobo7bo170bo24b3o$33bo6bo169bo24bo$28bobo3bo3bobo193bo3bobo$28bo6bo197bo$28bo7bobo193bo7bobo$29bo202bo6bo$30bo3bobo195bobo3bo3bobo$31bo205bo6bo$32b3o199bobo7bo$243bo$236bobo3bo$241bo$18b3o217b3o$21bo$16bobo3bo$23bo$14bobo7bo$17bo6bo$12bobo3bo3bobo$12bo6bo$12bo7bobo$13bo$14bo3bobo$15bo$16b3o!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

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Location: Scotland

### Re: HighLife

2c/7 orthogonal spaceship
x = 19, y = 10, rule = B36/S232bo13bo$bobo11bobo$2o2bo9bo2b2o$b2ob2o7b2ob2o$b2o2bo7bo2b2o$3bobo3bo3bobo$4bo4bo4bo$8bobo$9bo$9bo! Found with qfind after about 4 days with 3 threads wildmyron Posts: 1072 Joined: August 9th, 2013, 12:45 am ### Re: HighLife wildmyron wrote:2c/7 orthogonal spaceship It's a cute little thing. If the wiki is correct, then this is the 12th elementary spaceship speed in HighLife. I assume you already completed 2c/7 odd and even symmetries at search-width 9. -Matthias Merzenich Sokwe Moderator Posts: 1457 Joined: July 9th, 2009, 2:44 pm ### Re: HighLife Sokwe wrote: wildmyron wrote:2c/7 orthogonal spaceship It's a cute little thing. If the wiki is correct, then this is the 12th elementary spaceship speed in HighLife. I assume you already completed 2c/7 odd and even symmetries at search-width 9. I completed them both at w8 as well as asym, and the odd search at w9. The odd search seemed quite a bit more promising, so I hadn't run the other w9 searches before i kicked off the w10 odd search. It shouldn't take too long to run (< 1 CPU day certainly), but I haven't got timestamps for the other searches as i didn't save dump files for them. Edit: actually, I hadn't run the asym search, but i have run 3c/7 at w8 for asym, odd, and even symmetries. wildmyron Posts: 1072 Joined: August 9th, 2013, 12:45 am ### Re: HighLife wildmyron wrote:Edit: actually, I hadn't run the asym search, but i have run 3c/7 at w8 for asym, odd, and even symmetries. I ran 3c/7 up to w11 a while ago with gfind for odd, even and asymmetric. Sadly no positive results. Last edited by AforAmpere on October 6th, 2018, 3:02 pm, edited 1 time in total. Things to work on: - Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules) - Find a C/10 in JustFriends - Find a C/10 in Day and Night AforAmpere Posts: 986 Joined: July 1st, 2016, 3:58 pm ### Re: HighLife All 2G synthesis that have an ash (32 out of 72): x = 120, y = 244, rule = B36/S232$bo11bo$2bo11bo$3o9b3o2$13bo$2o10b2o$obo9bobo$o8$75bo$70bo3bo$4bo9bo56bo2b3o13bo$3bo11bo31bo21b3o19bo$3b3o7b3o31bobo39b3o$bo27bo14bo2b2o$2bo13bobo11bo14bo12bo30bo20bo$3o13b2o10b3o12b3o13bo28b2o18b2o$17bo13b3o23b3o28bobo18b2o$31bo30bobo$32bo29b2o43bo$63bo44bo$106b3o2$38bo$39bo$37b3o2$40bo$40bobo$40b2o$4bo$2b2o$3b2o12bo3bo$18bo2bobo$2bo13b3o2b2o$3bo$b3o10$6bo$5bo$5b3o$2bo$3bo$b3o6$79bo$79bobo29bo$79b2o28bobo$110b2o$79bo$3bo76bo31bo$4bo73b3o30bo$2b3o106b3o2$4b2o$4bobo$4bo9$2bo$3bo$b3o$6bo$4b2o$5b2o8$6bo$5bo$5b3o20bo$26bobo$3bo23b2o$4bo$2b3o$27b3o$27bo$28bo84bo$75bo4bo27b2o3bobo$76bob2o29b2o2b2o$74b3o2b2o27bo13$4bo$5bo$3b3o3$2b3o$2bo$3bo12$5bo$6bo2bobo$4b3o2b2o$10bo5$94bo$92bobo$93b2o3$95b2o$94bobo$4bo91bo$4bobo$4b2o$2bo$3bo$b3o9$12bobo$8bo3b2o$9bo3bo$7b3o11$6bo$7bo$5b3o3$3b3o$3bo$4bo8$4bo$5bo$3b3o$7bo$7bobo$7b2o9$23bo$24bo$6bobo13b3o$6b2o$7bo$4bo16b2o$5bo14bobo$3b3o16bo11$5bo$6bo$4b3o2$8bo$7b2o$7bobo! some of them are the same as in Life, but a couple of them are different. Unfortunately there is no glider turning reaction as in life and no 2G collision for the replicator. However, there are plenty of 3G collisions for the replicator, a one sided option: x = 24, y = 10, rule = B36/S232$8bobo6bobo$9b2o6b2o$9bo8bo$15bo$16bo$14b3o! 3G for the p7 and p10: x = 43, y = 16, rule = B36/S234$7bo4bo$8bob2o21bo$6b3o2b2o21bo3bo$32b3ob2o$37b2o2$8b3o22bo$8bo25b2o$9bo23b2o! In contrast to Life we have some 3G collisions which output 3G, here 2 examples: x = 97, y = 44, rule = B36/S235$70bo$9bo60bobo$10bo59b2o$8b3o12$69bo$23bobo44bo$19bo3b2o43b3o$20bo3bo$18b3o$67b2o$67bobo$67bo! The first one has the same output direction as the input, just rotated by 90°. Edit1: 3G for a bomber + block: x = 24, y = 25, rule = B36/S237$12bo$13b2o$12b2o4$11bo$12bo$10b3o2$13bo$13bobo$13b2o!

Thus, we have a 4G synthesis for the bomber (but there might exist a 3G option):
x = 34, y = 47, rule = B36/S23$22bo$23b2o$22b2o4$21bo$22bo$20b3o2$23bo$23bobo$23b2o27$2bo$2b2o$bobo!

3G for 4G + blinker , 3G for 4Gblock + block:
x = 151, y = 61, rule = B36/S2314$112bo$113bo$111b3o2$114bo$114bobo$114b2o20$136b3o$136bo$25bobo109bo$26b2o9bo$26bo11bo$36b3o2$39bo$39bobo$39b2o! Edit2: 3G for 5G + block: x = 19, y = 19, rule = B36/S23$4bo$2bobo$3b2o10$11bo$12bo2bobo$10b3o2b2o$16bo!
Last edited by 2718281828 on October 6th, 2018, 5:42 pm, edited 1 time in total.

2718281828

Posts: 651
Joined: August 8th, 2017, 5:38 pm

### Re: HighLife

A rake made of 3 bombers:
x = 56, y = 44, rule = B36/S238$18bo$9b3o6bo$18bo$37bo$37b2o$16bo21bo$11b3o3bo20bobo$10bo$10bo15bo7bo5bobo$10bo2bo2bo9bo6b2o$16bo9bo5b2o6bobobo$16bo17bo4bo4bo$9bo3b3o18bobobo6b2o$10bo18b2o13b2o$28bo7bobo5bo$28b2obo11bo$31b3o4b2ob2o$40b2o$23b2o10bo4bo$23b3o9bo$26b2o3bo3b2o$38bo$27bo8bobo$35b3o$29b3o2b2o$31bob2o$34bo$32b2o!

2718281828

Posts: 651
Joined: August 8th, 2017, 5:38 pm

### Re: HighLife

wildmyron wrote:
Sokwe wrote:I assume you already completed 2c/7 odd and even symmetries at search-width 9.

I completed them both at w8 as well as ... the odd search at w9.

For completeness I ran the asym and even sym w9 searches with qfind as well. They were both negative.

The odd width 10 search is still running, but I don't think it will be completed before I give up on it. As happens with these searches the progress has slowed down considerably after finding this small ship.
AforAmpere wrote:
wildmyron wrote:Edit: actually, I hadn't run the asym search, but i have run 3c/7 at w8 for asym, odd, and even symmetries.

I ran 3c/7 up to w11 a while ago with gfind for odd, even and asymmetric. Sadly no positive results.

Thanks for mentioning this.
wildmyron

Posts: 1072
Joined: August 9th, 2013, 12:45 am

### Re: HighLife

I completed all 3G synthesis, unfortunately no further synthesis of a high period oscillator or ship occurred. Concerning spaceships with 3G we have only the LWSS and MWSS (but no HWSS). There is also no bomber, thus the 4G bomber synthesis seems to be optimal.

There is one 3G->4G synthesis, but unfortunately not in very nice directions and distances:
x = 36, y = 40, rule = B36/S237$11bobo$12b2o$12bo15$28bo$29bo$27b3o3$29bo$28b2o$28bobo! 2718281828 Posts: 651 Joined: August 8th, 2017, 5:38 pm ### Re: HighLife Naszvadi Posts: 333 Joined: May 7th, 2016, 8:53 am ### Re: HighLife wildmyron wrote:2c/7 orthogonal spaceship x = 19, y = 10, rule = B36/S232bo13bo$bobo11bobo$2o2bo9bo2b2o$b2ob2o7b2ob2o$b2o2bo7bo2b2o$3bobo3bo3bobo$4bo4bo4bo$8bobo$9bo$9bo!

I find it interesting how the TL-pushing reaction at the front resembles that of CGoL's 2c/7 orthogonal ship, the weekender.

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: HighLife

A for awesome wrote:2043M:
x = 6, y = 6, rule = B36/S233o2bo$bo3bo$bo2b2o$2b4o$b2obo$o2bo! Gen 1 has 14 cells. This is very long-lived for this rule, I'm pretty sure. The best from my 3G collisions, 5063M with 13 cells: x = 11, y = 5, rule = B36/S236bobo$2o5b2o$b2o$o7b2o$8bobo! It is nice around gen 5000. Edit1: 5019M with 11 cells as a subpattern: x = 5, y = 6, rule = B36/S232bo$2bo$obo$o2bo$2obo$3b2o!

2718281828

Posts: 651
Joined: August 8th, 2017, 5:38 pm

### Re: HighLife

Another result from the 2c/7 search. It's another TL pusher, different mechanism though. The search is still going strong, but I think I'm about ready to give up on it.

2c/7 orthogonal, min pop 139 cells
x = 19, y = 33, rule = B36/S233bo11bo$6b2o3b2o$5b3o3b3o$4bo9bo$4bo2b5o2bo$5bobo3bobo$6bo5bo2$7b2ob2o$3b3obo3bob3o$2b5o5b5o$b3o2bo5bo2b3o$4b2o7b2o$3bob2ob3ob2obo$4bo2b2ob2o2bo$2b2o3bobobo3b2o$bobo5bo5bobo3$3b2o9b2o$3b2o9b2o$o2bo5bo5bo2bo$b2o6bo6b2o$9bo$2bob3o5b3obo$2bo3bo5bo3bo$2bo4bo3bo4bo$3bo11bo$4b3o2bo2b3o$8bobo$7bo3bo$8bobo$9bo! wildmyron Posts: 1072 Joined: August 9th, 2013, 12:45 am ### Re: HighLife 22-glider synthesis of 18P3 (based on one of the three Catagolue soups): https://catagolue.appspot.com/object/xp3_0oomepq4z12433/b36s23 x = 290, y = 40, rule = B36/S23243bo$241bobo$172bo69boo$170boo$162bo8boo31bo39bo$163bo40bo39bo$161b3o40bo39bo$9bo75bo$9bobo74boobobo33bo39bo$9boo74boobboo34bo39bo$90bo34bo39bo$$bbobo3boo3bo40boo38boo38boo38boo21bobo3o37bobo37bobo16bo20bobo37bobo20boobbo38bo39bo15boo22bo39bo22bo10bo39bobo96boo94bobo7boo22b3o3bobo7boo38boo194bobo6bobbo23bo3bobo6bobbo36bobbo78bo20bo95bo6bobo24bo5bo6bobo37bobo76bobo19boo18boo38boo42bo3bobo33bo3bobo33bo3bobo77boo19bobo17boo17b3o18boo17b3o23bobo3bo33bobo3bo33bobo3bo74boo120boo9bobo11b3o12boo9bobo11b3o23bobo11bo61bobo105boo13boo7bobbo27boo7bobbo16b3o17bobbo10bo40bo23bo15bo39bo39bo9bobo22boo38boo17bo20boo10b3o37bobo37bobo37bobo37bobo8bo84bo51boo38boo38boo38boo9bo115boo38boo8boo75b3o37boo38boo8bobo74bo117boo38boo86bo116boo3boo33boo3boo82b3o122bobbo36bobbobboo80bo123boo38boobobo79bo3bo$$248boo$247bobo$249bo! EDIT: 16P9 from 14 gliders (based on the one soup): https://catagolue.appspot.com/object/xp9_4mkijaq8zx1/b36s23 x = 209, y = 36, rule = B36/S2341bobo$41boo$42bo3bobo123bo$46boo59boo58booboo$47bo59boo58boobboo3$42boo$42bobo$42bo$107bo59bo$106bobo57bobo$106boo23bo34boo$129bobo$48boo80boo$47boo34bobo57bobo57bobo$8bo40bo22bo9bobbo46bo9bobbo56bobbo$6boo33boo29bo9bo3b3o8bo34bo9bo3b3o8bo44bo3b3o$7boo33boo28bo8b3o3bo9bo34bo8b3o3bo9bo43b3o3bo$o40bo42bobbo9bo46bobbo9bo46bobbo$boo81bobo57bobo57bobo$oo156boo$158bobo$62boo58boo34bo$61bobo57bobo$62bo59bo$7bo$5bobo$6boo3$bbo58boo54boobboo$bboo57boo55booboo$bobo3bo109bo$7boo$6bobo!
mniemiec

Posts: 1017
Joined: June 1st, 2013, 12:00 am

### Re: HighLife

Glider hits pair of still lives, producing a p9:
x = 13, y = 15, rule = B36/S239bo$10bo$8b3o3$9bo$8bobo$5b2o2bo$5bob2o3bo$6bo2b4o$8bo$3b2o4b2o$4bo5bo$b3o5bo$bo7b2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1783
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: HighLife

A for awesome wrote:Glider hits pair of still lives, producing a p9: ...

On Dec. 12, I came up with a partial synthesis of the 26-bit minimal form, but got stuck at the starting still-life. It turns out that the same method also works with this 27-bit form. My 3-glider igniter is more expensive, but the base still-life doesn't need the tub or boat, so it is be easier to synthesize (and also works with forms like the 26-bit one where the back of the bookend is fixed). I was able to further reduce the base still-life down to a viable predecessor using some slightly modified standard converters, and luckily, that one predecessor is found in one soup. I was able to create a full synthesis from 43 gliders, although some of the mechanisms are fairly hideous,
and can hopefully be improved (7 gliders to make a clean rear-facing pi via a spark coil, 8 to make a bun from below, 9 to make an eater).
x = 240, y = 136, rule = B36/S23184bo$185boo$184boo$$128bo55bo13bo12bo39bo59bobo55boo14boo8boo20boo4boo13bo8boo4boo22boo4boo13boo7boo4boo22boo4boo9bobo10boo4boo10b3o9boo4boo13boo10boo19bobobbobo11b3o8bobobbobo16bo5bobobbobo16bo5bobobbobo22bobobbobo22bobobbobo22bobobbobo9boo18boo17b4o26b4o17bobo6b4o17bobo6b4o18boo6b4o18boo6b4o18boo6b4o10boo16boo16bobobbobo14b3o5bobobbobo15bobo4bobobbobo15bobo4bobobbobo15bobo4bobobbobo15bobo4bobobbobo15bobo4bobobbobo9bo20bo15boo4boo16bo5boo4boo16bo5boo4boo16bo5boo4boo16bo5boo4boo16bo5boo4boo16bo5boo4boo69bo1566bobo18bo48boo19boobobo23bo18bo10bo29boo24bo3boo18boobboo24bo29bo28bobbo24bobobbo23bo24bo21bobo5bo29boo23b3obboo71boo71bo110boo28boo28boo109bobbo26bobbo26bobbo33boo28boo45boobo26boobo26boobo4b3o9boo4boo8bobbo10boo4boo8bobbo10boo4boo28bo29bo29boobo13bobobbobo8bobbo10bobobbobo4bo3bobbo10bobobbobobboo22boo28boo28booboo7boo6b4o11boo5boo6b4o4bobo4boo5boo6b4o3boo23bo29bo29bobo7bobo4bobobbobo15bobo4bobobbobo3boo10bobo4bobobbobo3bo23bo29bo29bo10bo5boo4boo16bo5boo4boo16bo5boo4boo26boo28boo28boo$$61boo21bo$62boo19boo$61bo21bobo$80boo$79bobo$81bo7$25bo39boo$23bobo40boo$24boo39bo$15bo$13bobo$14boo$25bo$24boo63bo$24bobo24boo28boo5bo22boo28boo28boo28boo28boo$8b4o8boo29bo29bo6b3o20bo29bo29bobbo26bobbo26bobbo$7bo3bobboo3bobbo25bo3bo25bo3bo25bo3b3o23bo3b3o3bobo17bo3b3o23bo3b3o23bo3b3o$11bobobo4boobo24b4obo24b4obobboo20b4obbo23b4obbo3boo18b4o26b4o26b4o$7bobbo4bo6bo29bo29bobboo25bo29bo6bo22bo29bo5bo23bo4bo$20boo28boo28boo5bo22boo28boo4bo23boo28boo5bo22boo5bo$20bo29bo29bo29bo29bo5boo22bo29bo6b3o20bo6bo$21bo29bo29bo29bo29bo3bobo23bo29bo29bo$20boo28boo28boo28boo28boo28boo28boo28boo$207boo$207bobo$207bo19$21boo28boo28boo28boo28boo28boo28boo28boo$21bobbo26bobbo26bobbo26bobbo26bobbo26bobbo26bobbo26bobbo$18bo3b3o23bo3b3o23bo3b3o5bo17bo3b3o23bo3b3o23bo3b3o23bo3b3o23bo3b3o$18b4o26b4o26b4o7bo18b4o26b4o26b4o26b4o26b4o$22bo4bo24bo29bo6b3o20bo29bo29bo29bo29bo$20boo5bo22boo4boo22boo4boo22boo4bo23boo4bo23boo4bo23boo4bo23boo4boo$20bo6bo22bo4bobbo21bo4bobbo21bo4bobo22bo4bobo22bo4bobo22bo4bobo22bo5bo$21bo29bo4bobo22bo4bobo22bo4bobo22bo4bobo22bo4bobo22bo4bobo22bo7bo$20boo5boo21boo5bo22boo5bo22boo5bo22boo5bo22boo5bobo20boo5bobo20boo6boo$27bobo122bo25bo25bo3bo$27bo122boo52boo$147boobboo50bobo$147bobo58bo$147bo59boo$207bobo5$93bo$91boo$92boo3$83bobo$84boo7bo$84bo6boo$92boo3$21boo28boo28boo28boo$21bobbo26bobbo26bobbo26bo3bo$18bo3b3o23bo3b3o23bo3b3o23bo3boobo$18b4o26b4o26b4o26b4obbo$22bo29bo29bo29bo$20boo4boo22boo4boo22boo4boo22boo4boo$20bo5bo23bo5bo23bo5bo23bo5bo$21bo7bo21bo5b3o21bo5b3o21bo5b3o$20boo6boo20boo7bo20boo7bo20boo7bo3$27b3o$27bo$28bo! mniemiec Posts: 1017 Joined: June 1st, 2013, 12:00 am ### Re: HighLife Soup-inspired syntheses for 15P2.1 (14 gliders), skewed quad (20), bent keys (18), pulsar quadrant (21), star (39), 48P28 (22). x = 192, y = 221, rule = B36/S235bo7bo$3bobo7bobo9boo5boo51boo5boo$4boo7boo10boo5boo51boo5boo$boo13boo$obo13bobo$bbo4bobo6bo11b3o57b3o$8boo66bo25bo$8bo68bo23bo$75b3o23b3o$8boo69b3o15b3o$9boo70bo15bo$8bo71bo17bo5$9bobo16b3o57b3o$9boo$10bo$$9boo135b3ob3o8boo10bo136bobobo146bo5bo146boo3boo746boo83boo45bobo83bobo47bo83bo792bo90bobo9bo81boo9bobo39bo42bo9boo39bo31bo11bobo7bo42b3o30bo10boo5bobo19boo18boo18bo13b3o3bo6boo6bo11bobbo16bobbo16bobo17bobo13bo13boo4bo9bo3boo4bo13boo4bo4b3o6boo4bo13boobo11b3o16bobo6bobo8bobo17bobo5bo11bobo12bo3boobbo29bobo7boo8bobo17boo5bo12boo14bobobo3o13b3o6bo7bo11bo7bo16bo7bobo17bobo8boo8boo18boo12bo6bobobo3b3o11bo6bobo17bobo8bobo6bobo17bobo11bo7boo3bo5bo19bo4boo13bo4boo3bo9bo4boo13bo4boo6b3o9boo4bo6boo16bobbo16bobbo17bobo17bobo11bobo16boo18boo19bo19bo3b3o11bo34b3o34boo10bo8boo38bo33bobo11bo7bobo37bo36bo9bo76boo86bobo86bo879bo19bo57boo20bo57boo18b3o49bobo67bo14bo22bo48boo23bo41bobo14bobo21bo49bo23bo43boo14boo21b3o27boo28boo12b3o51boo28boo26bo16bo12bo16bo108bobo14bobo10bobo14bobo108bobo14bobo10bobo14bobo5bo46boo28boo25bo16bo12bo16bo3bobo17boo10boo14bobbo10boo5bobo6bobbo3b3o22bo8bo20bo8bo20bo8bo4boo17bobo9boo15boo11boo5boo8boo4bo23bobo6bobo18bobo6bobo18bobo6boboboo20bo49bo15bo23boboobboobo20boboobboobo20boboobbooboobo17boo48boo13bo7boo21bobbo26bobbo26bobbobbo16bobo47bobo13boo6bobo20bobbo26bobbo26bobbo21bo49bo12bobo6bo113boo6boo20boo6boo113boo6boo20boo6boo$$45bo95boo10boo$44bo95bobo10bobo$44b3o95bo10bo$$39bo40bo11bo113bo38b3o11bobo110bo52boo111b3o59bo58bo58b3o5bo29bo29bo29bo29bo51bo14b3o27b3o27b3o27b3o5bo21b3o5bo45bobo10boo3bo24boo3bo24boo3bo24boo3bo3bo20boo3bo3bobo19boo18boo4boobboo8bobbo26bobbo26bobbo26bobbo4b3o19bobbobbo4boo19boo11bo6boo8bobo7bobo27bobo27bobo27bobo27bobo3boboo35boo15bo10bo29bo29bo29bo10b3o16bo4boobo34bobo127bobbo100bo64bo18b3o43boo58bobo27boo28boo43bobo6boo45b3oboo27bobbo20boo4bobbo43bo8bobo46bo30bobo20bobo4bobo6boo52bo47bo32bo16boo5bo5bo6boo149bobo20bo151bo7boo159bobo159bo165bo164boo164bobo$$55bobo$56boo$56bo$73bobo$73boo$74bo$58bobo$59boo$54bo4bo$48bo6boo$49boo3boo16bo$48boo9bobo9bo4bobo$40bo18boo10b3obboo$41boo17bo16bo$40boo7bo17bo$47bobo17bobo$48boo17boo$56bo20bobo$52bo3bobo18boo8bo$53bobboo10b3o7bo6boo$51b3o14bo17boo13b3o$69bo11bo$75boobboo18bobobobo$bo4bo67boo4boo$bbobbo16bo39bo13bo20bobo5bobo$3obb3o13bobo37bobo33bo9bo$22bo25bo13bo34bobo5bobo$8b3o32boo4boo$8bo35boobboo49bobobobo$9bo33bo11bo$37boo17bo14b3o27b3o$38boo6bo7b3o10boobbo$37bo8boo18bobo3bo$45bobo20bo$56boo17boo$55bobo17bobo$57bo17bo7boo$47bo16bo17boo$47boobb3o10boo18bo$46bobo4bo9bobo9boo$52bo16boo3boo$68boo6bo$65bo4bo$64boo$64bobo$50bo$50boo$49bobo$68bo$67boo$67bobo10$130bo9bo$128bobo9bobo$129boo9boo$$73bo25bo11bo17bo11bo72bo25bobo9bobo15bobo9bobo72b3o23bobo9bobo15bobo9bobo5bo14bo58bo19bo11bo17bo11bo6boo10bobo48bo8bo5boo12boo49bo7b3o68b3o5bo19bo3bo5boo11b3obbobobbo21bo29bo4bobo13bo3boobb3o4b3o12bobb3o9b3o12bobb3o19bo30bo29bo395b3o15b3o9b3o15b3o9b3o15b3o97bo15bo13bo15bo13bo15bo93bobobbobo9bobobbobo5bobobbobo9bobobbobo5bobobbobo9bobobbobo93bobbooboo9booboobbo5bobbooboo9booboobbo5bobbooboo9booboobbo93bobobbobo9bobobbobo5bobobbobo9bobobbobo5bobobbobo9bobobbobo97bo15bo13bo15bo13bo15bo95b3o15b3o9b3o15b3o9b3o15b3o311bo28bo29bo3obboo3bo13bobo8b3obbo12b3o9b3obbo12b3obbobbobobb3o11boo14bo29bobo3bo19bo80b3o10boo12boo44b3o7bo10bobo10boo47bo8bo10bo14bo45bo27bo11bo17bo11bo76b3o19bobo9bobo15bobo9bobo78bo19bobo9bobo15bobo9bobo77bo21bo11bo17bo11bo$$129boo9boo$128bobo9bobo$130bo9bo!

Also, Some partials for: bent keys, 32P14, 42P28, 40P4, 36P2 spark coil and undead spark coil:
x = 114, y = 140, rule = B36/S2327b4o$oo14boo6b4obb4o$obbo10bobbo5boboo4boobo$b3o10b3o7bo8bo$8boo$7bobbo$7bobbo$4bo3boo3bo$4bo8bo$4bo8bo11$41bobo$41boo10bobo$42bo10boo$12bo25bo15bo$11bobo25boo16boo$boo8bobo24boo10boo4boo$obbo8bo13b3o20bobo6bo7b3o$boo3b4o15boboobo11b3o4bobo13boboobo$5bo4bo13bo6bo10bobbo4bo13bo6bo$4bo6bo14bobbobbo10boo21bobbobbo$4bo6bo11boo6boo30boo6boo$4bo6bo11boo6boo30boo6boo$4bo6bo11bobbobbo21boo10bobbobbo$5bo4bo13bo6bo13bo4bobbo10bo6bo$6b4o3boo10boboobo13bobo4b3o11boboobo$3bo8bobbo11b3o7bo6bobo20b3o$bbobo8boo23boo4boo10boo$bbobo32boo16boo$3bo37bo15bo$41boo10bo$40bobo10boo$52bobo9$34bo11bo$33bobo9bobo$33bobo9bobo$34bo11bo$$6bo7bo5bobo5bobo4bo3bo3bo3bo5bobo5bobo3o3bo7bo3b3o430b3o15b3o32bo15bo28bobobbobo9bobobbobo28bobbooboo9booboobbo28bobobbobo9bobobbobo32bo15bo30b3o15b3o43o3bo7bo3b3o5bobo5bobo4bo3bo3bo3bo5bobo5bobo6bo7bo$$34bo11bo$33bobo9bobo$33bobo9bobo$34bo11bo8$24boobboo$5bobbo14boo4boo$3bobobbobo11bo8bo$3b3obb3o10bo10bo$oo10boo8bobo4bobo$oo10boo11b4ooo10boo11b4o$oo10boo8bobo4bobo$3b3obb3o10bo10bo$3bobobbobo11bo8bo$5bobbo14boo4boo$24boobboo18$9bo7bo51bo7bo$4boobbobo5bobobboo41boobbobo5bobobboo$4boobo3bo3bo3boboo41boobo3bo3bo3boboo$8bobo5bobo49bobo5bobo$3o6bo7bo6b3o12boobbobboo12b3o6bo7bo6b3o12boobbobboo$39bobbobobbo51bobbobobbo$40bobobobo53bobobobo$41bo3bo55bo3bo$42b3o49bo7b3o7bo$93bobo15bobo$42b3o48bobo15bobo$41bo3bo48bo7b3o7bo$40bobobobo54bo3bo$39bobbobobbo52bobobobo$3o6bo7bo6b3o12boobbobboo51bobbobobbo$8bobo5bobo41b3o6bo7bo6b3o12boobbobboo$4boobo3bo3bo3boboo45bobo5bobo$4boobbobo5bobobboo41boobo3bo3bo3boboo$9bo7bo46boobbobo5bobobboo\$69bo7bo!

I tried finding a few for fumaroles, but those tended to arise from replicator interactions, which tend to get large and messy.
mniemiec

Posts: 1017
Joined: June 1st, 2013, 12:00 am

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