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AforAmpere

I think this is a bug:

./qfind -r B3/S23 -p 17 -w 7 -y 7 -s o -t 8 -f 1

somehow gives less max depth than

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./qfind -r B3/S23 -p 17 -w 6 -y 7 -s o -t 8 -f 1

when it should be at least equal.

AforAmpere

A rule that creates a circle from a dot: @RULE Circle @TABLE n_states:17 neighborhood:Moore symmetries:rotate4reflect var a={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16} var b=a var c=a var d=a var e=a var f=a var g=a var h=a var j={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16} var k=a var l=a var m=a var n=...

AforAmpere

p9 puffer: x = 46, y = 50, rule = B2/S0 2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2$bo2b2o2b2o2b2o2b2o2b2o2b 2o2b2o2b2o2b2o2b2o2bo$ob2obo2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2bob2obo$ 4bo3b2o2b2o2b2o10b2o2b2o2b2o3bo$o44bo$2b2obo9bo2bob2o2b2obo2bo9bob2o$ 8b2o2b2obo2bo3b2o3bo2bob2o2b2o$2bo2b3o2b2o4b2o3bo...

AforAmpere

A non-explosive rule with 7 different 3-cell ships (non-adjustable):

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x = 62, y = 4, rule = B2ekn3eir4ajrty5ej6c/S02-ei3ackn4anqy5acj6in7
bo7bo7bo5bo6bobo11bo15bo$obo26bo15bo15bo$7bo3bo4bobo3bo24bo$24bo33bo!

Speeds are C/2, 3c/7, C/3, C/4, C/5, (3,1)c/27, and C/15d.

AforAmpere

Putting two near each other with a couple blocks removed doubles the period: x = 102, y = 108, rule = B3/S23 51b2o28b2o$51b2o28b2o12$36b2o58b2o$36b2o58b2o2$36b4o54b4o$35bo4bo52bo 4bo$35b2ob2obo50bob5o$33b2o3bo2bo50bobo4b2o$32bo2b2o2bob2o48b2o5bo2bo$ 32b2obobobo4bo16bo29bo2bobobob2o$35bo2bo2b2obo16b2...

AforAmpere

wwei47 wrote: ↑
May 5th, 2021, 8:17 pm
Isn't the limit t^2? I think this is log base phi of t.

I was putting the time to expand outward, but yeah, log_phi(t) is probably better to put there. I'll change that.

Another log_phi(t):

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x = 2, y = 58, rule = B2cek3ajy4ai5iy7e/S01e2ik3jnr4ar5y6ci7e
o$bo$o!

AforAmpere

wwei47 wrote: ↑
May 5th, 2021, 5:51 pm
Is that a Turing machine?

It looks like it, yeah.

log_phi(t):

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x = 2, y = 3, rule = B2ek3aijy4ae5e6ci/S012ace3iny4cei5e6ci
o$bo$o!

AforAmpere

Very unusual growth, but may be asymptotic to sqrt. I am not at all confident about that, though.

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x = 2, y = 3, rule = B3-cjkq4ceit5i6c/S012c3j4a5eiy6ci
o$bo$o!

AforAmpere

Very unusual growth, but O(t^(1/3)): x = 2, y = 3, rule = B3aeiy4eir5ey/S012ce3j4ct6c o$bo$o! EDIT, more t^(1/3): x = 2, y = 3, rule = B2ek3aiy4ce5e6ci/S012-kn3in4acei6c o$bo$o! x = 2, y = 3, rule = B2ek3iy4cet5y6i/S012-kn3aij4it5ei6i o$bo$o! This somehow approaches t^(1/2), and has a really weird p...

AforAmpere

C/9o:

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x = 11, y = 32, rule = B2ce3any4ait5ey6i7e8/S2-n3-cikq4aert5eiy6ci8
4b3o$5bo$4b3o$4b3o$4b3o$4b3o2$4b3o$4b3o$3bobobo$4bobo$3bobobo$3bo3bo$
4obob4o$2o2b3o2b2o$o2bobobo2bo$5bo$5bo$4b3o$5bo$3b5o$b2o2bo2b2o$5bo$b
2o2bo2b2o$4b3o$4b3o$4bobo$4b3o$3b5o$3b2ob2o$3bobobo$3bo3bo!

AforAmpere

Edit 4: I thought 6c/7 was supposed to be hard. x = 12, y = 2, rule = B2-kn3-ainq4aejrw5cejn6en7c8/S1c2ci3ainq4eiktwy5einy6-ac78 2obob2obob2o$3b6o! It was before LLS. Now they're pretty easy to find. Even 8c/9 doesn't take all that long at this point. Also, by the way, what are you using to find th...

AforAmpere

LaundryPizza03 wrote: ↑
May 1st, 2021, 12:55 am
If I am not mistaken, this is the first 3c/4o object in any outer-totalistic rule. I'm pretty sure that 3c/4o is the theoretical maximum speed in alternating B2/B3 rules.

Nice work! It's funny how much easier 3c/4d was in B0 OT than 3c/4o was in B0 OT.

AforAmpere

p408 gun shoots p827 SMOSs: x = 6, y = 7, rule = B2e3aceij4cejkqyz5kqr6n7c/S1c2aen3-aekq4-enqrt5aej6k7e 4o$2ob2o$4o$2bo$b2obo$2b3o$3bo! SMOS from slope 6 ships: x = 3, y = 23, rule = B2e3-cknq4ejkqtwz5jq6ekn/S1c2-ck3-aceq4aijwyz5r6-ci7c obo$b2o$2o$o16$o$2o$b2o$obo! SMOS of other obliques: x = 59, y ...

AforAmpere

Appears to grow according to (EDIT, fixed) t^1/3: x = 3, y = 43, rule = B2aei3ekn4eikr5-aiqr6i8/S01e3nry4eijrwz5-ekr6c7e8 obo! Crazy looking binary counter: x = 3, y = 1, rule = B2aei3ekn4eijqr5cy6ci/S01e2ek3-einq4acijnrt5eir6e7e8 obo! Becomes a p92014: x = 3, y = 1, rule = B2aei3ejknr4aeirwy5-aikq6...

AforAmpere

Binary and ternary counters, from 2 cells:

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x = 3, y = 1, rule = B2aei3e4ijkqrtz5cekn6ai8/S01e2en3-acei4-nq5-anry6a7e8
obo!

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x = 3, y = 1, rule = B2aei3cek4-acenz5-ikqr6-n8/S01e2e3cjqry4-cn5-kry6ae7e8
obo!

AforAmpere

Crazy sqrt growth:

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x = 3, y = 1, rule = B2-ck3c4ity5c6ci/S01e2e3nry4aeinqrt5-aekq6ace7e8
obo!

AforAmpere

2c/31d B1e SMOS (the first?):

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x = 10, y = 10, rule = B1e2ce3ejky4inqt5aj6ack/S1c2-ce3inq4knqt5knqr6k
7b3o$7bobo$8bo5$2o$obo$2o!

5c/28d:

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x = 10, y = 10, rule = B1e2ce3jkqy4iknyz5anr6-en8/S1c2-ce3enqy4jkntz5eqr6ek7e
7b3o$7bobo$8bo5$2o$obo$2o!

AforAmpere

Hold on. If we get this right, we might be able to get high-period 9c/10 as well. That's a stable engine you've got there. Ask iNoMed, I guess? EDIT: That engine is incredibly robust, but I can't seem to put junk behind it to stabilize it. As I said, I tried ikpx2 on it, up to a pretty high width, ...

AforAmpere

Would anyone like to continue from here or try wildmyron's 9c/10o ( OP )? Funnily enough, I've been working on that for the last few days. Here's a really close call: x = 19, y = 6, rule = B2ac3anr4aqrwz5eky6ci7c8/S12i3aejk4jknwyz5acknr6-n7c 2b2obobobobobob2o$3o2bo7bo2b3o$b4o9b4o$3o4bo3bo4b3o$3bo4b...

AforAmpere

2c/516 crawling reaction x = 80, y = 146, rule = B3/S23 54$65bo$63bobo$64b2o6$77b3o$77bobo$76bo2bo$76b2o78$3o$2bo$bo! I found that first one a couple of years ago: https://www.conwaylife.com/forums/viewtopic.php?f=7&t=2036&p=61751#p61751 It would be interesting if someone could stabilize it. There ...

AforAmpere

Lots of speeds in this rule, probably not all that can be found: x = 369, y = 74, rule = B2i3-k678/S1e2i3-j5678 b3o67b3o2b3o9bo8bo11bo9bo11b6o13bo15bo9b5o11b2o15bobobo15bo13bobobobob o24bo28b2o30bo27b3o$88bo8bo10b3o7b3o9b8o12bo14b3o8b5o8b2ob2ob2o11b7o 14bo15b5o20bobo3b2o26b3obo28b3o3bo20b3o$5o66b2o4...

AforAmpere

Maybe try EnumPattEvo with patterns like this one? Good idea. Improved 18c/30, 3 cells: x = 2, y = 3, rule = B2acn3acek4acirt5-ceik6c8/S1c2i3ijn4jt5i6a7e8 bo$o$bo! 18c/34, 3 cells: x = 2, y = 3, rule = B2acn3acek4acirty5jnqry6c8/S1c2i3ijn4acejt5ak6aek7e8 bo$o$bo! 18c/35, 3 cells: x = 2, y = 3, rule...

AforAmpere

(8,2)c/17, 5 cells: x = 3, y = 3, rule = B2ac3cnqr4akn5qry6a7e/S1e2e3-aciq4acnqrwy5cqr6e 2bo$bo$3o! (9,1)c/18, 5 cells: x = 3, y = 3, rule = B2ac3cnqr4aekny5ejq6-i7/S1e2e3ejnry4acenryz5c6ci8 2bo$bo$3o! Improved (8,2)c/19, 4 cells: x = 3, y = 3, rule = B2ac3cnry4aknty5aqry6ei7e8/S1e2e3ejnry4acnrwy5cq...

AforAmpere

LaundryPizza03 wrote: ↑
April 9th, 2021, 1:21 pm
I think this (271,1)c/1078 is a new record slope:

It's not, but that's a beautiful ship.

2c/1475, 4 cells:

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x = 15, y = 3, rule = B2ek3ceik4acjz5acinq6ci8/S02-ei3aq4-aqz5ackn6ek8
2bo$o13bo$2bo!

AforAmpere

(7,3)c/16 seems to be new, 7 cells: x = 6, y = 6, rule = B2ace3cq4knqwz5einr7c/S2-ce3ceqr4aijtwz5ery6ac 2bo$bo$o4bo$5bo$4bo$5bo! (17,15)c/32, 4 cells: x = 6, y = 4, rule = B2acn4iqw5jy6ik7e/S01e2n3-cinq4acqrty5acinr6i 5bo2$o3bo$4bo! (16,11)c/30, 8 cells: x = 12, y = 11, rule = B2acn4iqtwy5cjqy6i/S01...

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