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Several c/2 spaceships/tagalongs: x = 157, y = 166, rule = B3-n4w/S23-r4t 29bo$2b2o8b2o14b3o18b2o5b2o12b2o5b2o12b2o5b2o44b2o5b2o$b2ob2o4b2ob2o 12b5o15b2ob2o3b2ob2o8b2ob2o3b2ob2o8b2ob2o3b2ob2o14b2o5b2o17b2ob2o3b2ob 2o$3o3bo2bo3b3o30bo4b2ob2o4bo6bo4b2ob2o4bo6bo4b2ob2o4bo11b2ob2o3b2ob2o 14bo4b2ob2o4bo$...

Two reactions: x = 37, y = 59, rule = B3/S23 $34bobo$34b2o$35bo4$3ob3ob3o$2bo3bobo$2bo3bob3o16bo$2bo3bobobo17bo$2bo 3bob3o14b4o2bo3bo$25b2o3b3o2bo$30bob2o$32bo$32bo31$25b3o$25b3o$ob3obob o15bo3bo$o3bobobo15b2ob2o3b2o$ob3ob3o22bo2bo$obo5bo23b2o$ob3o3bo2$31bo $30b3o$29bo2b2o$29b2o$29bo! 16.124 in 9 g...

16.1973 in 10 gliders: x = 72, y = 52, rule = B3/S23 7bo$7bobo7bo$7b2o7bo$16b3o$5b3o$7bo$6bo4$obo$b2o31bobo$bo32b2o$18b2o 15bo$18bobo$18bo15$47b2o$46b2o$48bo11$8b2o$7bobo$9bo3$2o$b2o66b2o$o68b obo$69bo! 16.944 in 13 gliders: x = 106, y = 47, rule = B3/S23 bo$2bo$3o9$17bobo$17b2o$18bo7$9bobo$9b2o$6bo...

This rule is very interesting! One thing I am disappointed by is the lack of non c/2 spaceships (there is only the 3c/6 diagonal). There are many interesting things in the oversize section. Here is a very interesting puffer: x = 16, y = 16, rule = B2ce3ai/S1c23-a bo2b3ob3obo$2ob2ob2o3b2o$2bo2bo3bo3b...

... And 16.821... Is it useful? x = 16, y = 26, rule = B3/S23 bo$bo$bo5$3b3o2$13bobo$12bo2bo$12bo2bo$13b2o$b2o$o2bo$o2bo$obo2$10b3o 5$14bo$14bo$14bo! Yes it is. 16.821 in 14 gliders: x = 46, y = 68, rule = B3/S23 o$b2o$2o19$15bo$15bobo$15b2o$8bo$9b2o3bo$8b2o5bo$13b3o2$30bo$31bo3b3o$ 29b3o3bo$13bo22...

16.150 in 7 gliders from a D2_+2 soup: x = 26, y = 28, rule = B3/S23 25bo$23b2o$24b2o8$14bo$bo11bo$2bo10b3o$3o3$13bo$11b2o$12b2o2b3o$16bo$ 17bo4$12bo$7b3obo$9bob3o$8bo! 16.1752 in 10 gliders using a bakery and bad cleanup: x = 58, y = 75, rule = B3/S23 55bo$55bobo$55b2o25$16bo$17bo$15b3o$19bo$18bo$1...

An attempt at N=2 is the maximum we could construct, since the enumeration goes (1,0,2), (1,0,3), (1,0,4); we would need the c/4 orthogonal before the glider. I've actually created the pattern for N=2. It uses the glider to 25P3H1V0.2 converter I posted in the "Construction pratice" topic. I've att...

It's taken me 4 days, but I now have completed a glider to 25P3H1V0.2 converter! It has a minimum repeat time of 520 generations. I've attached it below with a p520 gun as it goes over the character limit. I'm quite annoyed at the huge space that is every where but the north-west corner. Can somebod...

From "CPU time: 367.859375 seconds" on,the non-monotonic asymmetric part is shown. When attaching some previous results to the loafer,for example, x = 49, y = 31, rule = B3/S23 7bo19bo19bo$6bobo17bobo17bobo$5bo2bo16bo2bo16bo2bo$6b2o18b2o18b2o$7bo 19bo19bo$2bo19bo19bo$bobo3bo13bobo3bo13bobo3bo$2obo3...

EDIT2: List of all still lifes without synthesis in 15 gliders sorted by Catagolue frequency: 16.1854 xs16_39s0ca4z321 16 696398 16.656 xs16_8o6p96z1221 18 179699 16.1973 xs16_0ggm9icz1243 16 43214 16.776 xs16_2llm853z01 17 34628 16.1928 xs16_c88q552z311 17 33895 16.761 xs16_4aqb96z32 999 23266 16....

Very nice, goldtiger!!! I love greyships so much! How did you manage to find those wickeaters? I found the wickeaters by using ntzfind, and Sokwe's extending partials python script on a row of the wick. To find the c/4 wickeaters I ran something like: ./ntzfind p4 k1 w8 a m2000 e initrows.txt I've ...

Is it a LWSS?

Your wickeater isn't extensible because the units are c/3 spaceships which you should recognize from your collection and don't actually interact. Sorry, I don't know how I didn't notice that. Also, this works for your "transformer" if you need it to. That's not quite what I meant. I was talking abo...

Infinitely extensible c/3 wickeater! Also a less interesting c/3 wicktransformer. x = 115, y = 350, rule = B2-a3-i/S23-a 111bo$109bobobo$18bo29bo34bo24b6o$15b3ob3o23b3ob3o29bobobo22bobo2bo$ 14b2obobob2o21b2obobob2o27b6o17bo4bo$14bo2bobo2bo21bo2bobo2bo27bobo2bo 15bobobo2bo$14bobo3bobo21bobo3bobo22bo4...

16.1697 in 11 gliders: x = 144, y = 49, rule = B3/S23 48bobo$49b2o$49bo$71bobo$71b2o$72bo5$41bobo$42b2o$42bo$51b3o36b2o28b2o 18b2o$26b2o25bo2b2o32bo29bo19bo$25bo2bo23bo2bo2bo28b2obobo24b2obobo14b 2obobo$26b2o28b2o29bobobobo23bobobobo13bobobobo$91bobo27bobo17bobo$o3b o85bobo27bobo17bobo$b2obobo5bo32b...

Actually, I probably agree with your definition more than mine. Does it mean that alternate backends are nontrivial differences? If so I have more spaceships to include in the list. Alternate backends are nontrivial if and only if they interact with the frontend (i.e. the spaceship is not trivially...

For wickstretchers I say they aren't trivially related if they stretch wicks in different locations in a nontrivial way (I probably haven't strictly followed this): rle I would go ahead and say that patterns are trivially related as long as they can be assembled by substituting in parts from other ...

The basic c/4 wickstretcher is infinitely extensible and can be attached to other c/4 wickstretchers (it can also be attached to other faster wickstretchers): x = 131, y = 226, rule = B2-a3-i/S23-a bob2o57bo47b3o$bo2bo56bob2o42b2obobob2o$bob2o54b4obo42bo2bobo2bo$bo55b o6bo42bo2bobo2bo$bo55b2obo3bo42...

How can zfind be modified so that when the depth limit is reached, it prints out the partial it already has as usual, but then continues the search for more spaceships? It sounds like you want to use the 'm' command, which sets a max length for the search. Setting an 'm' value will cause the search...

How can zfind be modified so that when the depth limit is reached, it prints out the partial it already has as usual, but then continues the search for more spaceships?

The "p6 k1 w9 g" search outputted a partial with a depth limit error like other wickstretchers found in this rule with ntzfind. But for some reason, the partial doesn't work at all. Does anyone know why? Gutter symmetry is an invalid symmetry for this rule, but neither zfind nor ntzfind check wheth...

Are there any simple reflectors where if the glider is shifted 1 glider lane it passes by the reflector unobstructed?

2. As a preface, there exists an enumeration of triplets (A,B,D) ordered by A+B+D, ties broken by A then by B, with A/D and B/D rationals in lowest terms in a given bounded subset of Q2. My request from this unlimited computer would be the smallest (lowest population then bounding box) stable const...

Two new c/6 spaceships and 1 new c/6 wickstretcher all found with ntzfind at w9: x = 62, y = 313, rule = B2-a3-i/S23-a 35bo6bo$8bo24b3o6b3o11bo$32bo3b2o2b2o3bo7bob2o$7bobo23b2o8b2o8b2ob3o$ 4bo2bobo2bo24b4o14bo$3b2o3bo3b2o21bobo2bobo12bo2bo$2bo4bobo4bo18bobobo 2bobobo10b2obo$b4o7b4o15b2obob2o2b2obob2...

Two questions. Since they are related, but can have very different answers, either just one or both questions can be answered. If you went to sleep and woke up in 100 years, and checked the forums, what would be the first question you would ask or the first discovery you would look for? If you had a...