Travelling Ts(b3s23-a5) and its variants

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I6_I6
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Re: Travelling Ts(b3s23-a5) and its variants

Post by I6_I6 »

ThePlayzr wrote: January 26th, 2026, 12:34 am The edgeshoot here is so insanely good that we can actually synthesize the p10 SKOP, with 18G:

Code: Select all

x = 191, y = 48, rule = B3/S23-a5
54bo$52b2o$53b2o3$39bo$40b2o$39b2o3$104bo17bobo$102bobo17b2o$78bo24b2o
18bo52bo$76b2o99bo$77b2o96b3o3$o$b2o70bo26bo39bo37bo$2o71bo25bobo37bo
bo8bobo24bobo$8bo43b3o18bo25bo2bo36bo2bo7b2o17bo7bo2bo$8bobo41bo47b2o
38b2o9bo15bobo8b2o$8b2o26b2o15bo15b2o25b2o38b2o30b2o4b2o6bo$35bo2bo29b
o2bo23bo2bo19bo16bo2bo34bo2bo4bobo$36bobo30bobo24bobo18b2o17bobo5b3o27b
obo4bo2bo$37bo32bo17bo8bo19bobo17bo37bo6b2o4b2o$89bo88b2o8bobo$87b3o51b
o35bo2bo7bo$141bo36bobo$141bo37bo4$136b2o42b3o$137b2o41bo$136bo44bo5$
101b2o$100b2o$102bo3$87b2o$88b2o$87bo!
I don't have much credit for this synthesis though, as basically all the parts were already discovered by PK22.
A direct 8G synthesis for it already exists (check the wiki page).
I've tried to synthesize a trimer, but I couldn't get the p2s in fast enough.

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#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by ThePlayzr »

I6_I6 wrote: January 26th, 2026, 1:14 am
ThePlayzr wrote: January 26th, 2026, 12:34 am The edgeshoot here is so insanely good that we can actually synthesize the p10 SKOP
A direct 8G synthesis for it already exists (check the wiki page).
Oh. :oops:
While I was on the wiki page, I did manage to reduce the climbing C tagalong synthesis by 1G, using a more efficient cleanup method:

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x = 32, y = 38, rule = B3/S23-a5
7bo$5bobo$6b2o2$15bo$14bo8bo$bo12b3o6bobo$2bo20b2o$3o6bobo$10b2o6bo$10b
o6bo$17b3o4$18b2o$18bobo$18bo2$bo10b3o7bo$b2o11bo6b2o$obo10bo7bobo$6b
o$6b2o10bo$5bobo9b2o$17bobo10$30bo$29b2o$29bobo!
Can we please call the common C tagalong the 'Winged C' or the 'Flat bug' Please?
To me the tagalong looks like a wing, but I described it to chatGPT and it said that it sounds the most like Aradidae, which are best known as flat bugs.

Code: Select all

x = 6, y = 7, rule = B3/S23-a5
2bo$2ob2o$bobo2$o$b5o$b2obo!
[[ TRACK 0 -1/2 GPS 6 AUTOSTART ]]
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Re: Travelling Ts(b3s23-a5) and its variants

Post by hotcrystal0 »

ThePlayzr wrote: January 26th, 2026, 1:25 am Can we please call the common C tagalong the 'Winged C' or the 'Flat bug' Please?
To me the tagalong looks like a wing, but I described it to chatGPT and it said that it sounds the most like Aradidae, which are best known as flat bugs.

Code: Select all

x = 6, y = 7, rule = B3/S23-a5
2bo$2ob2o$bobo2$o$b5o$b2obo!
[[ TRACK 0 -1/2 GPS 6 AUTOSTART ]]
I remember someone calling it the “C with flap” before, but I’m not sure whether to name it that or one of your proposed names.
138 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by ThePlayzr »

hotcrystal0 wrote: January 26th, 2026, 9:13 am
ThePlayzr wrote: January 26th, 2026, 1:25 am Can we please call the common C tagalong the 'Winged C' or the 'Flat bug' Please?
To me the tagalong looks like a wing, but I described it to chatGPT and it said that it sounds the most like Aradidae, which are best known as flat bugs.
I remember someone calling it the “C with flap” before, but I’m not sure whether to name it that or one of your proposed names.
That was me, but I think 'Winged C' sounds better, and it's 2 words.
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Re: Travelling Ts(b3s23-a5) and its variants

Post by hotcrystal0 »

ThePlayzr wrote: January 26th, 2026, 6:54 pm
hotcrystal0 wrote: January 26th, 2026, 9:13 am I remember someone calling it the “C with flap” before, but I’m not sure whether to name it that or one of your proposed names.
That was me, but I think 'Winged C' sounds better, and it's 2 words.
I prefer C with flap because there already is something called a wing and people might think “winged C” is something like this:

Code: Select all

x = 9, y = 7, rule = B3/S23-a5
5b3o$4b2ob2o$4b2ob2o$2b2o$bobo$o2bo$b2o!
The bee is fine, because there’s nothing actually called a bee in CGoL. Beehive and B-heptomino are similar but not the same.
(going slightly off-topic) The B34k/S23 tubber is also fine, because even though there’s already something in CGoL called the tubber, it doesn’t work in B34k/S23 and it’s not common in CGoL.
138 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by mmmmmmmmm »

hotcrystal0 wrote: January 26th, 2026, 9:13 am
ThePlayzr wrote: January 26th, 2026, 1:25 am Can we please call the common C tagalong the 'Winged C' or the 'Flat bug' Please?
To me the tagalong looks like a wing, but I described it to chatGPT and it said that it sounds the most like Aradidae, which are best known as flat bugs.

Code: Select all

x = 6, y = 7, rule = B3/S23-a5
2bo$2ob2o$bobo2$o$b5o$b2obo!
[[ TRACK 0 -1/2 GPS 6 AUTOSTART ]]
I remember someone calling it the “C with flap” before, but I’m not sure whether to name it that or one of your proposed names.
I think that we should call it the G, for 3 reasons.
1. It's simple and easy to remember.
2. It stays with the theme of single-letter names
3. It looks like a G in both phases:

Code: Select all

x = 6, y = 7, rule = B3/S23-a5History
.DCD$CA.AC$DA.AD$D$C.2D$D2A2CA$.2C.C!
However, this is straying off-topic, so, ThePlayzr and HC0, please take any further consideration to PMs.
EDIT: I went into catalogue today, and found a new semi-natural 2c/4 in D2_+1:

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x = 17, y = 10, rule = B3/S23-a5
4b3o3b3o$3b2ob2ob2ob2o$b2obob2ob2obob2o$2obo9bob2o$2obob2o3b2obob2o$3b
obobobobobo$3bobobobobobo$7bobo$7bobo$6b2ob2o!
Attribute page says PK22 found it.
Anyway, most of the goals I set were completed (thanks PK22!), but there are 4 that aren't quite finished yet. C4_4 needs around 860 million soups to get to 5 billion, C2_1 needs around 500 million soups to get to 2 billion, D4_+1 needs around 800 million to get to 2 billion, and D2_+2 needs around 470 million to get to 500 million.
EDIT 2: the oscillator collection has a larger stator variant of this p4 and it should be replaced. Here it is:

Code: Select all

x = 6, y = 8, rule = B3/S23-a5
4.A$3.A.A$A.A2.A$2A$.2A.A$2A2.A$A.A$.A!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by ThePlayzr »

I am currently searching for c/4d tubeaters with RLS, with limited success. My search is still going, but here's a partial:

Code: Select all

x = 48, y = 19, rule = B3/S23-a5
b2o2b2o3bo2bo9bo3bo8bo9b2o$o4bo2b2o2bo2b3o4bo2bo7bo4b2o4bob2o$ob3ob4o
3bo2bo3b2o4bo2b3obo2b3o3bobo2bo$2bo8b3o2bo2b2o2bobo3bo2b4obo2bo2bob3o
$2bo2bo7bob2o2b2o2bo5bobob2obobo2bo5bo$4bobo11bo3bo2b2o3bobob5obobo$5b
obo11b3o2b3ob2ob2o2bobo3bo$6bobo10b2obob2o2bobo2bo3bob2o2bo2bo$7bobo10b
2o3b2o3bob2o11bo$8bobo15b2o6b2o3bo3b4o$9bobo16bobo2bo2bo5b3obo$10bobo
16bo3b3o2bobob2ob2o$11bobo18bo2b2obobo$12bobo21bobob4o$13bobo24b2ob2o
bo$14bobo25b4o$15bobo28bo$16bobo27bo$17bo!
[[ TRACK 1/5 1/5 LOOP 5 GPS 1 AUTOSTART ]]
A c/4d tubeater seems promising.
I might need to tighten the search restrictions.
EDIT: can someone try and prove these in TTs, starting with 1a or 2a?
1a: there are no p3s up to 13 cells
1b: the p3s below are the only p3s up to 14 cells
1c: the p3s below are the only p3s up to 15 cells
2a: there are no p4s up to 13 cells
2b: the p4 on the left is the unique smallest p4 (14 cells)
2c: the p4s below are the only p4s up to 15 cells

Code: Select all

x = 21, y = 23, rule = B3/S23-a5
7b2o$7bo$5bobo7b2o$5b2o6bobo2b3o$2b2o$bobo8b3o2bobo$bo14b2o$2o7$13b2o
$2o10bobo$o3bo3bo3b2o$2b6o7b2o$bo3bo3bo5bo$8b2o8bo$17bobo$18bobo$19bo
!
If you do any of these, please PM me your results, and if you did 1c or 2c, publish the results
If possible, can someone also search to see how many p3s exist up to 16 cells? These are the 6 that are known:

Code: Select all

x = 36, y = 21, rule = B3/S23-a5
7b2o$7bo$5bobo7b2o9bo6bo$5b2o6bobo2b3o4bo2bo2bo2bo$2b2o20bo10bo$bobo8b
3o2bobo5b2ob4ob2o$bo14b2o11b2o$2o5$3bo14bo$2bo2bob2o8bobo7b2o$bo6bo8b
2obo6bobo$2b2ob2o9bob2o9bo$6b2o6bo2bo11bob2o$15bo13b2obo$6bo6bo2bo11b
o$6b2o5b2o14b3o$31bo!
EDIT 2:
Yes, I used the tubstretcher as a partial.
Last edited by ThePlayzr on January 29th, 2026, 4:51 pm, edited 1 time in total.
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Re: Travelling Ts(b3s23-a5) and its variants

Post by I6_I6 »

ThePlayzr wrote: January 29th, 2026, 6:45 am I am currently searching for c/4d tubeaters with RLS, with limited success. My search is still going, but here's a partial:
...
How? Did you just input the c/4d tubstretcher as a partial?

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by ThePlayzr »

I6_I6 wrote: January 29th, 2026, 12:11 pm
ThePlayzr wrote: January 29th, 2026, 6:45 am I am currently searching for c/4d tubeaters with RLS, with limited success. My search is still going, but here's a partial:
...
How? Did you just input the c/4d tubstretcher as a partial?
Yes, I used the tubstretcher as a partial.
I have done some bounded p3 searches with a max cell count of 16.
As of now, all p3s with 16 cells that have an 8x9, 7x10, 6x11, 5x15, 4xn, or smaller bounding box, are known.
I am still running searches, and I will increase these numbers.
Once I have increased these numbers by a reasonable amount (except 8x9), I will continue searching for tubeaters.
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Re: Travelling Ts(b3s23-a5) and its variants

Post by R2INT »

Boat catalysis works:

Code: Select all

x = 7, y = 6, rule = B3/S23-a5
5b2o$4bobo$3o2bo$o2bo2$2bobo!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by PK22 »

Much smaller slide gun:

Code: Select all

x = 1710, y = 1675, rule = B3/S23-a5
1285bo$1284bob2o$1283b2ob2o$1235bo49b2obo$1218b2o13b3o50bo2bo$1218bob
2o10bo$1218bo2bo10b2o53b2o$1218b3o$1219bo2$1339b3o$1231b2o105b2ob2o$
1230b3o104b2ob3o$1231b2o104b2o$1338b3o$1338b2o$1340bo3$1303b3o$1303bob
o$1302b2o2bo$1302b2ob2o$1303b3o2$1311b3o$1245b3o64bo$1245b3o81b4o$
1246bo81b2o2bo$1327bo5bo$1328bo2b2o$1332bo$1275b2o$1276bo$1260bobo13bo
bo$1238bo22b2o14b2o6bo$1237bobo21bo22b3o6bo$1239b2o48bo2b2o$1240bo47bo
5bo$1237bo2bo48b2o2bo$1236b2ob2o49b4o$1238bo2$1253b2o18bo$1253bobo18bo
$1255bo16b3o$1255b2o2$1199bo$1197b2ob2o$1198bo2bo$1201bo$1200b2o$1198b
obo24b2o$1199bo23b5o$1223bo3bo$1223b2ob2o$1225b2o7$1192b2o$1191b5o$
1190b2o2b2o21b2o$1190bobobobo20b3o$1190b3o24b2o$1191b2o2$1245bo$1243bo
2bo63b2o$1243bo3b2o60bobo$1245b4o59b2o2bo$1246bo2bo59b4o$1247b2o$1247b
o29$1335b2o$1334bo2bo$1334bobo$1335bo22$1250b3o$1247b2o3bo60b2o$1251b
2o60bob3o$1247b3obo61bob3o$1248b3o63b2o3$1195bo$1195b2o2bo22bo$1194bo
5bo20b2o$1195bo2b2o22bo$1195b4o8$1229b2o$1228bobo$1227b2o2bo$1228b4o$
1202b3o$1202bobo$1201b2o2bo$1201b2ob2o$1202b3o3$1259b2o$1259bo16b2o$
1257bobo17b2o$1257b2o17bo3$1241b3o51b2o$1240b2ob2o48b2ob2o$1240b2o2bo
48bo3bo$1115b2o124bobo45bo3b5o$1241b3o45bo5b2o$1118b2o144b3o14b2o5bobo
$1050bo15bo47b2o3bo146bo13bobo$1048b2ob2o11b3o49b2o147bo14bo$1049bo2bo
10bo54b2o159b2o$1052bo10b2o269b2o$1051b2o279b5o$1049bobo280bo3bo$1050b
o119b3o159b2ob2o$1146b2o21b2obo76b3o82b2o$1145b3o20bo3bo77bo64bobo$
1146b2o20b2o146bo$1168b2obo144bo$1169bobo135b2o$1307bob2o$1307bo2bo$
1307b3o$1135bo172bo$1136b2o$1135b3o$1137b2o205bo$1133b3ob2o204bobo$
1133b2ob2o204b2o$1134b3o98bo106bo$1235b2o105bo2bo$1163bo71bo106b2ob2o$
1160b3obo179bo$1158b3o2b2o$1160bobo2bo$1164bo57b3o$1164bo57bo2bo10b2o
51bobo$1106b2o115b3o10bo52bob2o$1107bo115b2o12b3o51b2o$1107bobo113b2o
14bo48bo3bo$1070bo19b3o15b2o178bob2o$1070bo19bo34bo162b3o$1069b3o19bo
33bo$1071bo49bobo2bo$1069bobo47b3o2b2o$1070bobo48b3obo$1067b2ob2o52bo$
1069bo$1084b2o$1076b3o5bobo16bo$1077bo8bo15b2o$1086b2o14bobo$1030bo$
1028b2ob2o$1031bobo$1030bobo17bo$1032bo16b3o$1030b3o83bo$1031bo25b2o
56b3o$1031bo25b3o55b3o$1053bobobobo$1054b2o2b2o$1054b5o$1056b2o6$1022b
3o$1021bob3o102b2o$1020b2o106b3o$1020bo3b2o102b2o$1020b3o$1609bo$1607b
2obo$1607b2ob2o$1075bob2o61b4o462bob2o49bo$1075bo2bo60b2o2bo461bo2bo
50b3o13b2o$1076bo61bo5bo517bo10b2obo$1076bo3bo58bo2b2o462b2o53b2o10bo
2bo$1077bo2bo62bo530b3o$1077bo597bo2$1553b3o$1552b2ob2o105b2o$1552b3ob
2o104b3o$1556b2o104b2o$1554b3o$1555b2o$1416bo137bo$1415bo$1415b3o$
1589b3o$1589bobo$1588bo2b2o$1588b2ob2o$1589b3o2$1155bo425b3o$1153bobo
426bo64b3o$1154b2o406b4o81b3o$1562bo2b2o81bo$1561bo5bo$1562b2o2bo$
1562bo$1618b2o$1618bo$1616bobo13bobo$1609bo6b2o14b2o22bo$1601bo6b3o22b
o21bobo$1166b2o433b2o2bo48b2o$1165bo2bo431bo5bo47bo$1165bobo433bo2b2o
48bo2bo$1166bo434b4o49b2ob2o$1656bo$1158bo$1158b2o461bo18b2o$1157bobo
460bo18bobo$1620b3o16bo$1638b2o2$1695bo$1693b2ob2o$1693bo2bo$1693bo$
1693b2o$1668b2o24bobo$1667b5o23bo$1667bo3bo$1667b2ob2o$1668b2o4$1082b
2o$1081b3o61b2o$1080bo3bo58b5o$1080bobobo58bo3bo553b2o$1079b2obo60b2ob
2o551b5o$1079bob2o62b2o529b2o21b2o2b2o$1675b3o20bobobobo$1676b2o24b3o$
1025bo676b2o$1025bo$1024bo2bobo103bo515bo$1025b2o2b3o100b2o449b2o63bo
2bo$1025bob3o103bo449bobo60b2o3bo$1026bo555bo2b2o59b4o$1582b4o59bo2bo$
1646b2o$1647bo4$1059b4o$1058b2o2bo$1057bo5bo$1034bo23bo2b2o57bo$1035b
2o25bo56b3o$1034b3o17bo$1036b2o16bo$1032b3ob2o15bobo$1032b2ob2o$1033b
3o$1107bo$1090b2o14bo$1080bobo7bo15b3o$1081bo6bobo$1081bo6b2o2$1072b3o
51b2o$1071b2ob2o48b5o434bo$1071b3ob2o47b2o2b2o432bobo$1075b2o46bobobob
o431bo2bo$1073b3o20bo30b3o432b2o$1074b2o18b2o31b2o$1073bo21b2o15b2o$
1111bobo$1111bo$1110b2o$1166b2o$1166b3o$1162bobobobo$1163b2o2b2o$1163b
5o$1165b2o2$1139bo$1137b2ob2o$1138bo2bo$1141bo$1140b2o$1138bobo$1139bo
2$1174bo$1174bo$1173b3o$1173bo$1150bo22bobo$1150b2o20bobo$1150bo22b2ob
2o$1175bo$1053b3o594b2o$1053bobo531b2o61b3o$1052b2o2bo10b2o517b5o58bo
3bo$916b2o134b2ob2o10bo54b2o462bo3bo58bobobo$1053b3o12b3o49b3o463b2ob
2o60bob2o$919b2o149bo48bo3bo463b2o62b2obo$851bo15bo47b2o3bo197b2ob3o$
849b2ob2o11b3o49b2o199b2o$850bo2bo10bo54b2o199b2o586bo$853bo10b2o813bo
28bo$852b2o825bob2o21bobo2bo$850bobo826bo22b3o2b2o$851bo119b3o730b3obo
$970b2obo733bo$868bo100bo3bo$866b2o101b2o$868bo100b2obo$970bobo3$1671b
4o$936bo734bo2b2o$937b2o731bo5bo$936b3o732b2o2bo23bo$938b2o731bo25b2o$
877bobo54b3ob2o757b3o$878bo55b2ob2o757b2o$878bo56b3o758b2ob3o$1697b2ob
2o$964bo733b3o$961b3obo$959b3o2b2o659bo16b2o$888bo28bo25b3o15bobo2bo
657b2o17bo$889b2o26bo47bo658bobo16bobo$888b2o54bo20bo678b2o$907b2o7b3o
25bo$908bo697b2o51b3o$908bobo694b5o48b2ob2o$871bo37b2o693b2o2b2o47b2ob
3o$871bo54bo677bobobobo46b2o$870b3o53bo513b2o162b3o6bo44b3o$872bo49bob
o2bo677b2o5b3o21b2o20b2o$870bobo28bo18b3o2b2o510b2o173b3o5b2o14bobo21b
o$871bobo25bobo20b3obo510bo3b2o47bo15bo113bobo13bo$868b2ob2o27b2o23bo
513b2o49b3o11b2ob2o113bo$870bo566b2o54bo10bo2bo114b2o$885b2o605b2o10bo
61b2o$885bobo616b2o59b3o$887bo617bobo57bobobobo$887b2o495b3o119bo58b2o
2b2o80b3o$831bo552bob2o21b2o155b5o$829b2ob2o550bo3bo20b3o155b2o16b3o
64bo$832bobo552b2o20b2o174b3o64bo$831bobo551bob2o197bo7bo$833bo551bobo
204b2ob2o$831b3o758bo2bo$832bo25b2o732bo$832bo25b3o731b2o$854bobobobo
560bo171bobo$855b2o2b2o558b2o173bo$855b5o559b3o$857b2o559b2o139bo$
1418b2ob3o135bo$1419b2ob2o134b3o$1420b3o137bo107bo$1558bobo104b2obo$
1393bo165bobo106bo$823b3o566bob3o159b2ob2o$822bob3o565b2o2b3o159bo$
821b2o22bo545bo2bobo281b3o$821bo3b2o19b2o544bo285bobo$821b3o21bo546bo
272b2o10bo2b2o$1449b2o159b2o54bo10b2ob2o$1449bo161b3o49b3o12b3o$1447bo
bo160bo3bo48bo$876bob2o61b4o502b2o15b3o19bo123b3ob2o$876bo2bo60b2o2bo
486bo34bo19bo127b2o$877bo61bo5bo485bo33bo19b3o124b2o$877bo3bo58bo2b2o
485bo2bobo49bo$878bo2bo62bo486b2o2b3o47bobo$878bo552bob3o48bobo$1432bo
52b2ob2o$1487bo$1471b2o$1453bo16bobo5b3o$1453b2o15bo8bo$1452bobo14b2o$
1526bo$1524b2ob2o$1523bobo$1506bo17bobo$1505b3o16bo$1440bo83b3o$1439b
3o56b2o25bo$1439b3o55b3o25bo$1497bobobobo$1206bo290b2o2b2o$1205bo292b
5o$1205b3o291b2o6$1532b3o$1427b2o102b3obo$1426b3o106b2o$1196bo230b2o
102b2o3bo$1196bobo335b3o$1196b2o3$1413b4o61b2obo$1413bo2b2o60bo2bo$
1412bo5bo61bo$1413b2o2bo58bo3bo$1413bo62bo2bo$1479bo16$883b2o$882b3o
61b2o453bo$881bo3bo58b5o452bobo$881bobobo58bo3bo452b2o$880b2obo60b2ob
2o$880bob2o62b2o446bo$1393bobo$1392bo2bo$826bo566b2o$826bo23bo$825bo2b
obo16b2obo$826b2o2b3o17bo$826bob3o$827bo$1006bo$1004bobo$1005b2o2$
1405b2o$1404b2o$860b4o542bo$859b2o2bo$858bo5bo$835bo23bo2b2o$836b2o25b
o$835b3o$837b2o$833b3ob2o$833b2ob2o$834b3o2$891b2o$891bo$889bobo$889b
2o2$873b3o28bo22b2o$872b2ob2o27b2o19b5o$872b3ob2o25bobo19b2o2b2o486b2o
64b2o$876b2o46bobobobo485b3o64b2o$874b3o51b3o485bobobobo60b3o$875b2o
51b2o486b2o2b2o60bo2bo$874bo38b2o502b5o60b3o$912bobo503b2o$912bo$911b
2o8bo617bo$892b2o26b3o24b3o17b2o570b2o$891bobo26b3o24b3o17b3o460bo107b
o2bo$893bo54bo14bobobobo460bob2o103b4o$964b2o2b2o460bo104bo3b2o$964b5o
566bo2bo$966b2o569bo2$940bo$881b3o54b2ob2o$939bo2bo$882bo59bo559bo$
882bo58b2o558bob3o$939bobo559b2o2b3o$940bo503bo55bo2bobo$1444bo56bo$
975bo525bo$975bo467b3o64bo17bobo$778b2o194b3o532b3o15b2obo$709b3o14bo
48b3obo91bo102bo534b3o15b2o$708b2ob2o11b3o48b3obo91bob2o99bobo550bo3bo
$708b3ob2o9bo53b2o92bo101bobo552b2obo$712b2o9b2o249b2ob2o550b3o$710b3o
263bo481bo14b2o$711b2o118bo22b3o599bobo15bo7b3o$710bo118b2obo21bobo
600b2o15bobo5b3o$810bo18b2ob2o19b2o2bo10b2o605b2o6bo$810bob2o14bob2o
21b2ob2o10bo54b2o565b3o$810bo16bo2bo23b3o12b3o49b3o512b3o50b2obo$871bo
48bo3bo510bob3o48bo3bo$828b2o89b2ob3o509b2o52b2o$919b2o513bo3b2o48b2ob
o$921b2o511b3o52bobo$1468bobo$796bo654b2o16b2o$796bo654bobo15bo$795b3o
655bo$797bo655b2o$795bobo$796bobo596b3o$793b2ob2o597bo3b2o$795bo599b2o
$821b3o572bob3o$820b3obo572b3o$824b2o599bo$820b2o3bo597b2ob2o$823b3o
596bobo$1423bobo$766b2o655bo$767bo655b3o$767bobo654bo$768b2o654bo2$
729bobo52b3o$729bob2o48b2o3bo$731b2o23bo28b2o604b2o$728bo3bo22b2o24b3o
bo$728bob2o23bobo24b3o605bo2bo21bo$728b3o658b2obo19b2obo$744b2o641b2ob
2o23bo$744bobo641bob2o118bo$709b3o34bo642bo118b2o$709b3o34b2o760b3o$
689b3o18bo785b2o9b2o$689bob2o44bo503b2o199b2o53bo9b2ob3o$689bo3bo42b3o
28b2o672bob3o48b3o11b2ob2o$692b2o42b3o28bobo468b2o201bob3o48bo14b3o$
690bob2o73bo470bo3b2o47bo15bo133b2o$690bobo83bo463b2o49b3o11b2ob2o$
719bo56bo461b2o54bo10bo2bo$719bo54b2ob2o514b2o10bo$715bobo2bo53b2ob2o
526b2o$713b3o2b2o56bo529bobo$715b3obo55bobo407b3o119bo$718bo57bo408bob
2o$775b3o407bo3bo100bo$775b3o410b2o101b2o$771bo414bob2o100bo$771bo414b
obo$683bo85b2ob2o$682bo2bo87bo$680b2o3bo84bo2bo11bo$680b4o87b2o9b2obo
436bo$679bo2bo102bo434b2o$680b2o538b3o$681bo537b2o$1219b2ob3o54bobo$
801b2o417b2ob2o55bo$736b3o60b5o417b3o56bo$735bo2bo60b2o2b2o$735b3o60bo
bobobo389bo$736b2o64b3o388bob3o$736b2o64b2o389b2o2b3o$1192bo2bobo15b3o
25bo28bo$1193bo47bo26b2o$1193bo20bo54b2o$1214bo25b3o7b2o$1250bo$1248bo
bo$1248b2o37bo$1232bo54bo$1232bo53b3o$1231bo2bobo49bo$1232b2o2b3o18bo
28bobo$1232bob3o20bobo25bobo$809bo423bo23b2o27b2ob2o$810b2o476bo$809b
2o461b2o$1271bobo$1271bo$1270b2o$1327bo$1325b2ob2o$1324bobo$1325bobo$
1325bo$1325b3o$1299b2o25bo$1298b3o25bo$1298bobobobo$1298b2o2b2o$1299b
5o$1300b2o3$1156b2o$1155b2o$1157bo$996bo336b3o$995bo336b3obo$995b3o
315bo22b2o$1311b2o19b2o3bo$813b2o498bo21b3o$812bobo$814bo2$1214b4o61b
2obo$1214bo2b2o60bo2bo$1213bo5bo61bo$986bo227b2o2bo58bo3bo$986bobo225b
o62bo2bo$986b2o292bo5$741bo$741bo2bo62bo$740bo3bo58bo2b2o$740bo61bo5bo
$739bo2bo60b2o2bo$739bob2o61b4o4$684b3o$684bo3b2o97b2o$684b2o90bo10b3o
$685bob3o85b2o10b2o$686b3o85b2obo$774b3o$774b3o$780bo$780bo$780bo$720b
2o57bobo$718b5o$718b2o2b2o55b3o$717bobobobo55b3o$695bo25b3o55b3o$695bo
25b2o56b3o$694b3o$696bo74bobo$694bobo44bo29b2o$695bobo42b3o29bo$692b2o
b2o$694bo$713b3o34b2o$714bo35bo$748bobo$748b2o$733bo26bo186bo$731b2ob
2o23bo28bo158bobo$734bobo22b3o23b3obo157b2o$733bobo47b3o2b2o$735bo49bo
bo2bo$733b3o53bo$734bo54bo$734bo37b2o$771bobo$771bo$770b2o$828bo$828bo
$824bobo2bo$822b3o2b2o389b2o64b2o$487bo65bo270b3obo388b3o64b2o$486bob
2o63b2o2bo269bo389bobobobo60b3o$485b2ob2o13bo48bo5bo658b2o2b2o60bo2bo$
487b2obo10b3o49bo2b2o240b3o417b5o60b3o$488bo2bo8bo52b4o240b2ob2o417b2o
$500b2o295b3ob2o$489b2o310b2o537bo$799b3o514bo23b2o$800b2o514b2o21bo2b
o$605b2o192bo516bo21b4o$508bo96bob3o726bo3b2o$506b2o6b3o88bob3o726bo2b
o$508bo5bo2b2o87b2o730bo$517bobo313bobo$514b7o311b2obo78bo$514b2o2bo2b
o293b2o15b2o81b2o$519b3o292b3o15bo3bo77b2o$515bo2b2o295b2o16b2obo466bo
$514b2o198bo119b3o465bob3o$713bobo586b2o2b3o$514bo59b2o139b2o584bo2bob
o$514bobo55b3o141bo10b2o573bo$514bobo54bo3bo137bo2bo10bo54b2o518bo$
514b2o54b2ob3o136b2ob2o11b3o49b2o547bobo$520bo32bo16b2o142bo15bo47b2o
3bo544b2obo$521b2o30bo18b2o24bob2o180b2o544b2o$520b2o76bo2bo726bo3bo$
552b3o44bo179b2o548b2obo$599bo3bo726b3o$600bo2bo670b2o$600bo674bo$543b
2o730bobo$544bo34b3o694b2o$544bobo744b3o$533bo11b2o33bo656b3o21b2o27b
2obo$531bobo27bo18bo655bob3o19b2o27bo3bo$532b2o27bo2bo670b2o25bo26b2o$
508b2o50bo3bo670bo3b2o48b2obo$506b2o52bo674b3o52bobo$504b2o3bo49bo2bo$
508b2o49bob2o689b2o$1252bobo$505b2o14b2o722bo8bo$521bobo721bo8b2o$523b
o720bobo25b3o$466b2o55b2o671b3o18bobo52bo$1196bo3b2o16bo54bo$469b2o
725b2o20bo$465b2o3bo726bob3o$467b2o729b3o$469b2o755bo$1224b2ob2o$496b
2o725bobo57b3o$495b3o726bobo57bo$494bo3bo725bo$494bobobo725b3o$493b2ob
o728bo$493bob2o728bo4$1097b2o93b2o$1097bob3o48bo14b3o127bo$458b3o636bo
b3o48b3o11b2ob2o22bo2bo99b2o$458bo2bo636b2o53bo9b2ob3o21b2obo101bo$
459b3o15bo674b2o9b2o23b2ob2o$459b2o17b2o684b3o22bob2o118bo$459b2o16bo
567bo118b2o24bo118b2o$1044bob2o118bo142b3o$514bo64bo463b2ob2o18bo230b
2o9b2o$513bobo61bo2bo383b3o78b2obo14b2obo176b2o53bo9b2ob3o$512b2o63bo
3b2o381bo81bo2bo16bo175bob3o48b3o11b2ob2o$512bo66b4o382bo276bob3o48bo
14b3o$512bo2bo64bo2bo463b2o193b2o$512b2ob2o64b2o$514bo66bo2$1080bo$
1080bo$1079b3o$1079bo$1079bobo$1078bobo$1079b2ob2o$1081bo$1053b3o$
1052bob3o$1051b2o$1051bo3b2o$1051b3o2$1109b2o$1109bo$1107bobo$1107b2o
2$1090b3o52bobo$1090bo3b2o48b2obo$1090b2o28bo23b2o$1091bob3o24b2o22bo
3bo$1092b3o24bobo23b2obo$1146b3o$1131b2o$1130bobo$1130bo34b3o$603b2o
524b2o34b3o$602bo2bo560bo18b3o$602bobo534bo44b2obo$603bo504b2o28b3o42b
o3bo$1107bobo28b3o42b2o$1109bo73b2obo$1100bo83bobo$1100bo56bo$1098b2ob
2o54bo$1098b2ob2o53bo2bobo$1100bo56b2o2b3o$1099bobo55bob3o$1100bo57bo$
1099b3o$1099b3o$1105bo$1105bo$1103b2ob2o85bo$1103bo87bo2bo$1091bo11bo
2bo84bo3b2o$1091bob2o9b2o87b4o$1091bo102bo2bo$1195b2o$1195bo2$1074b2o$
517b3o64b3o486b5o60b3o$516b2ob2o60b2o3bo485b2o2b2o60bo2bo$516bo2b2o64b
2o485bobobobo60b3o$517bobo61b3obo486b3o64b2o$517b3o62b3o488b2o64b2o2$
463bo$460bo2bo18bo$460bo3bo14b2obo$464bo17bo$462bo2bo$462b2obo320bo$
785bo$785b3o3$498bo$496bo2bo567bo$496bo3b2o563b2o$498b4o564b2o$499bo2b
o$500b2o$500bo275bo$776bobo$473b2o301b2o$471b3o$470bo3bo$469b2ob3o$
469b2o$471b2o54b2o$527bo$525bobo$510b2o13b2o$508b2o$508b2ob3o49bob2o$
509bo3bo49b2obo$510b3o51bobobo$512b2o50bo3bo$316b2o64bo153bo28b3o$382b
o153b2o28b2o$319b2o12bo47bo2bobo148bobo11b2o32b3o$315b2o3bo10b3o48b2o
2b3o159bobo32b3o$317b2o11bo51bob3o161bo35bo$319b2o9b2o51bo163b2o$605b
2o462b3o$604b3o462bo$436b2o165bo3bo462bo$422bo11b5o118bo45bobobo$420b
2o12bo3bo85b2o30b3o43b2obo$422bo11b2ob2o84bobo30b3o17bo25bob2o$436b2o
87bo49bob2o$519bo54b2ob2o$518b2o56b2obo$518bobo56bo2bo$519b2o$519bob2o
55b2o$518b2ob2o$519bo$403b2o114bo3b2o$401b3obo118b2o550bo$401b3obo112b
2o2b2o552bo65b2o$404b2o113bob2o552bo2bobo61bob2o$430bo80bo6b2obo87b2o
465b2o2b3o59bo2bo$429b3o79bob2o4b2o90b2o463bob3o61b3o$428bo2bo79bo97bo
3b2o122bo339bo65bo$428b2obo177b2o126bobo$430b2o305b2o460b2o$612b2o584b
3o$491bobo602bo100bo3bo$373b2o116bob2o9b2o588b2o12b2o87bobobo$374bo
118b2o9bo53b2o536bo10bobo86b2obo$374bobo113bo3bo10b3o49b2ob2o544b2ob3o
84bob2o$375b2o113bob2o13bo49bo3bo545b4o$490b3o64b5o547bo$558b2o544bo$
337b2o52b2o711bo$337bobo49b2obo$317bo18bo2b2o48bo2bo711bo57b3o$317bo
18b4o50b3o710bobo55bob3o$391bo710bo3bo53b2o$316b3o32b2o13b2o792bo3b2o$
351bobo12bobo791b3o$353bo12bo737bo$353b2o832b2o$1112bo30bo$297b4o812b
2o28bo42bo2bo$297bo2b2o81bo728b2o73bob2o$298bobo82bo758b3o43b2ob2o$
298b2o79bobo787b3o16b2obo$343b3o33b2o4bo747b2o55bo$379b5o750bo35bo$
324b2o18bo34bo5b3o746bobo33bo$324b2o18bo34bobo753b2o14bo$323b3o52bob2o
2bobo710bo51b2obo$323bo2bo53b2o714bo2bo25bo23b2ob2o$324b3o53b2o375bo
336b2o3bo23bobo22bob2o$382bo372b2o337b4o26b2o21bo2bo$377bo2b2o374b2o
335bo2bo$376b2o716b2o52b2o$379b5obo709bo$288b3o87b3o4bo725b2o$288bobo
87bo3b2o727bobo$287b2o2bo87bo3b2o2bo725bo$287b2ob2o89b2o5b2o723b2o$
288b3o96bo668bo$1055b2o$1054bo2bo$343bo711b4o$343bo64bob2o465bo65bo
111b2o3bo$342b3o63bo2bo461bo2b2o63b2obo112bo2bo$342bo66bo462bo5bo48bo
13b2ob2o112bo25b3o$342bobo64bo3bo459b2o2bo49b3o10bob2o139b2obo$341bobo
66bo2bo460b4o52bo8bo2bo139bo3bo$342b2ob2o63bo518b2o151b2o$344bo595b2o
140b2obo$692bo390bobo$692bobo$692b2o130b2o$821b3obo96bo$821b3obo88b3o
6b2o$823b2o87b2o2bo5bo$911bobo$413bo496b7o134b2o$414bo494bo2bo2b2o132b
3o17bo$412b3o494b3o136bo3bo17b2o$911b2o2bo131b2ob3o16bo$915b2o130b2o
120bo$1049b2o118bo$855b2o59bo251b3o$856b3o55bobo239b2o10bo$855bo3bo54b
obo185b2o53bo10bobo$855b3ob2o54b2o184bobo50b3o10bobo$859b2o16bo32bo
189b2o2bo49bo13b2ob2o$829b2obo24b2o18bo30b2o191b4o65bo$829bo2bo76b2o$
831bo44b3o$827bo3bo$827bo2bo$830bo$886b2o$849b3o34bo$884bobo$850bo33b
2o11bo$433b2o415bo18bo27bobo$432bo2bo430bo2bo27b2o$432bobo431bo3bo50b
2o$433bo436bo52b2o$868bo2bo49bo3b2o$868b2obo49b2o2$908b2o14b2o$907bobo
$907bo$906b2o55b2o2$960b2o$960bo3b2o$416b2o544b2o$417b2o541b2o$416bo$
933b2o$933b3o$932bo3bo$932bobobo$934bob2o$934b2obo3$347b3o65b2o$346b2o
b2o63b3o$345b2ob3o62bo3bo$345b2o66bobobo552b3o$346b3o63b2obo553bo2bo$
346b2o64bob2o537bo15b3o$348bo602b2o17b2o$953bo16b2o2$292b2o98bo458bo
64bo$292bob2o89b2o2b2obo457bo2bo61bobo$292bo2bo89bobo4bo455b2o3bo63b2o
$292b3o87b3ob2o460b4o66bo$293bo89b2ob4o457bo2bo64bo2bo$380bo3b2o3bo
458b2o64b2ob2o$380bo468bo66bo$379b2o3b2o$379b2o3bobo$327bob2o50b2ob2o$
327bo2bo50b2o6bo$328bo55bo3bo$328bo3bo50b3o3b2o$329bo2bo14b3o34bo2bob
2o$329bo17b3o35b2o2b2o$348bo33bobo2bo$302b2o79bo2b3o$300b3obo81b3o$
300b3obo$303b2o2$357b2o$357bo12bobo$355bobo12b2o$321bo33b2o14bo$320b3o
$320b3o19b2o50b3o$339b3obo49bo2bo$339b3obo49b3o435bo$341b2o51b2o434bob
o$394b2o433bo2bo$830b2o$379b2o$378bobo$378bo$377b2o2$433b2o$433b2o$
432b3o$432bo2bo$405b2o26b3o2$408b2o$404b2o3bo166bo$406b2o167bo$408b2o
165b3o8$440b2o$425bo13bobo124bo$425bob2o9b2o2bo123bobo$425bo13b4o123b
2o3$114b2o64bo$180bo142b2o9b2o52b2o462b2o65b3o$117b2o12bo47bo2bobo136b
3o10bo52b5o460b3o63b2ob2o$113b2o3bo10b3o48b2o2b3o133bo3bo10b3o48b2o2b
2o459bo3bo62b3ob2o$115b2o11bo51bob3o134b2ob3o12bo48bobobobo458bobobo
66b2o$117b2o9b2o51bo137b2o65b3o464bob2o63b3o$321b2o64b2o464b2obo64b2o$
920bo$234b2o$232b5o719bo$140b2o90bo3bo719b2o17b2o$139b3o90b2ob2o719bo
16b2obo$140b2o4bo87b2o737bo2bo$145bo4b2o822b3o$144b2o829bo$144b2o3b2o$
143bobo2bobo$142bo2bo3bo$141bo5b2o$139b3o3bob2o789b2obo$138b2obo2bo56b
2o735bo2bo$138b3o2b2o36bo17b3obo736bo$138bob3obo35b3o16b3obo732bo3bo$
138bo2bobo58b2o732bo2bo$138b3o3bo83bo710bo$139bo4bo82b3o$140b5o81bo2bo
735b2o$141b2o83b2obo734bob3o$228b2o734bob3o$156bo807b2o$157bo$155b3o
13b2o737b2o$172bo738bo$172bobo736bobo$173b2o737b2o2$872b3o50b2o$135b2o
52b2o16b3o317bo344bo2bo49bob3o$135bobo49b2obo17bo318bobo343b3o49bob3o$
134bo2b2o48bo2bo336b2o344b2o51b2o$134b4o50b3o517bo64b2o98b2o26b2o$189b
o518bo191b2o$149b2o553bobo2bo47bo12b2o116b2o12bo$149bobo550b3o2b2o48b
3o10bo3b2o77bobo32bobo$151bo552b3obo51bo11b2o80bo35bo$151b2o554bo51b2o
9b2o82bo35b2o2$95b4o735b2o$95bo2b2o553b2o179b2o45bo$96bobo553b5o11bo
165b3o44bo$96b2o554bo3bo12b2o162bo2bo43bobo29b3o$652b2ob2o11bo164b3o
26b2o48bo$653b2o258bo$122b2o735b2o58b2o$122b2o735bo3b2o53bob2o$121b3o
737b2o57b2o$121bo2bo734b2o58bo$122b3o794b2o$919b2o$915b2o2b2o$686b2o
225bo5b2o$685bob3o223bo$86b3o596bob3o224bobo$86bobo596b2o227bo2bo2bo$
85b2o2bo570bo166b2o87b2o2bo6bo$85b2ob2o10b2o557b3o165bobo87b4o5b2o$86b
3o11b3o556bo2bo163bo2b2o88bo7bo$100b2o557bob2o163b4o$547bo111b2o$141bo
403b2o$141bo64bob2o336b2o$140b3o63bo2bo506b2o161b2o52b2o9b2o$140bo66bo
508bo160b5o52bo10b3o$140bobo64bo3bo502bobo160b2o2b2o48b3o10bo3bo$139bo
bo66bo2bo502b2o160bobobobo48bo12b3ob2o$140b2ob2o63bo671b3o65b2o$142bo
737b2o64b2o$698b2o52b2o$698bob2o49bobo$698bo2bo48b2o2bo18bo$698b3o50b
4o18bo$699bo$723b2o13b2o32b3o$722bobo12bobo$724bo12bo$736b2o2$790b4o$
482bo224bo81b2o2bo$482bobo222bo82bobo$482b2o225bobo79b2o$705bo4b2o33b
3o$707b5o$703b3o5bo34bo18b2o$709bobo34bo18b2o$704bobo2b2obo52b3o$709b
2o53bo2bo$472bo236b2o53b3o$471bo236bo$471b3o235b2o2bo$713b2o$705bob5o$
705bo4b3o87b3o$707b2o3bo87bobo$703bo2b2o3bo87bo2b2o$701b2o5b2o89b2ob2o
$703bo96b3o3$747bo$679b2obo64bo$679bo2bo63b3o$681bo66bo$677bo3bo64bobo
$677bo2bo66bobo$680bo63b2ob2o$746bo8$677bo$676bo$676b3o4$145b3o65b2o$
144b2ob2o63b3o$143b2ob3o62bo3bo$143b2o66bobobo$144b3o63b2obo47bo$144b
2o64bob2o48bo$146bo113b3o$661bo$105bo554bobo$90b2o12b2o553bo2bo$90bob
2o11bo554b2o$90bo2bo$90b3o$91bo5$125bob2o$125bo2bo$126bo$126bo3bo$127b
o2bo$127bo2$100b2o$98b3obo$98b3obo$101b2o578bo$680b2o$155b2o523bobo$
155bo$153bobo$153b2o2$140b2o50b3o$137b3obo49bo2bo$137b3obo49b3o17bobo$
139b2o51b2o18bo$192b2o18bo536b3o$749bob2o$177b2o505b2o63bo3bo$176bobo
505b2o66b2o$176bo507b3o63bob2o$159b2o14b2o506bo2bo63bobo$160b2o521b3o$
159bo71b2o$231b2o$230b3o572bo$144b4o82bo2bo472bo96b2ob2o$143bo3b2o54b
2o26b3o472b2o3b2o90bo2bo$143b2o3bo557bo3bo2bo89bo$143bo2bo38bo20b2o
503b2obobo86b2o$142bobo3bo36bo16b2o3bo507b2o87bobo$143bo2b3o35bobo17b
2o504bob2o3bo87bo$143bo62b2o507b4o$143b2ob2o3bo561bo3b2o$146b7o559bo
56bo$147b3o3bo558bo55b3o$149bo2bo559b3o53bo2bo$148bo4b2o557bobo53bob2o
$149bo4bo552bo5bob2o51b2o$149bo4b2o552bo6b2o$144bo5b2o86b2o469b2ob3obo
32bobo$144b2o91bobo126bo349bo33bo$144bo91b2o2bo124bo349bo34bo44b2o$
237b4o124b3o344bo80b2ob2o$793bo3bo$793b5o$795b2o$121b2o9b2o52b2o552b2o
$119b3o10bo52b5o537bo13bo$118bo3bo10b3o48b2o2b2o538b2o11bobo33bo$117b
2ob3o12bo48bobobobo536b2o13b2o33bo$117b2o65b3o515b3o51b2o18bobo$119b2o
64b2o169bo345bobo49b5o$356bobo342b2o2bo48bo3bo$356b2o343b2ob2o48b2ob2o
$702b3o51b2o3$718b2o$718bobo$720bo$720b2o3$663b3o$662b2ob2o$662b2o2bo$
663bobo$663b3o$689b4o$688b2o2bo$689bobo$690b2o8$656b4o$656bo2b2o12bo$
655bo5bo10b2o$656b2o2bo12bo$656bo2$506bo64b2o$506bo202b3o51b2o10b2o$
502bobo2bo47bo12b2o138b3obo51bo9bob3o$500b3o2b2o48b3o10bo3b2o138b2o47b
3o10bob3o$502b3obo51bo11b2o136b2o3bo47bo12b2o$505bo51b2o9b2o141b3o3$
317bo133b2o$317bobo130b5o$317b2o131bo3bo90b2o$450b2ob2o90b3o$451b2o87b
o4b2o$535b2o4bo$541b2o$536b2o3b2o$536bobo2bobo$537bo3bo2bo$538b2o5bo$
538b2obo3b3o$484b2o56bo2bob2o$483bob3o17bo36b2o2b3o$483bob3o16b3o35bob
3obo$483b2o58bobo2bo$458bo83bo3b3o$457b3o82bo4bo$457bo2bo81b5o$457bob
2o83b2o$457b2o$530bo$529bo$514b2o13b3o$514bo$512bobo$512b2o3$477b3o16b
2o52b2o$478bo17bob2o49bobo$337bo158bo2bo48b2o2bo$335b2o159b3o50b4o$
336b2o159bo$536b2o$535bobo$535bo$534b2o2$588b4o$587b2o2bo$588bobo$589b
2o3$563b2o$563b2o$563b3o$562bo2bo$562b3o2$272bo$272bobo$272b2o$598b3o$
598bobo$597bo2b2o$585b2o10b2ob2o$584b3o11b3o$585b2o$262bo166bo$261bo
166b2o115bo$261b3o164bobo46b2obo64bo$477bo2bo63b3o$479bo66bo$475bo3bo
64bobo$475bo2bo66bobo$478bo63b2ob2o$544bo31$220bo$219bo$219b3o20$547b
3o$547bob2o$482b2o63bo3bo$482b2o66b2o$482b3o63bob2o$481bo2bo63bobo$
481b3o3$588bo14bo$588bob2o9b2ob2o$588bo12bo2bo$601bo$601b2o$602bobo$
603bo3$567bo$566b3o$566bo2bo$566bob2o$566b2o4$593b2o$591b2ob2o$591bo3b
o$591b5o$593b2o$538b2o$539bo$539bobo$540b2o$500b3o51b2o$156bo343bobo
49b5o$155bo343b2o2bo48bo3bo$155b3o323b3o15b2ob2o48b2ob2o$481b3o16b3o
51b2o$482bo2$516b2o$516bobo$518bo15bo$518b2o13b2o$533bobo$146bo$146bob
o312b3o$146b2o312b2ob2o85bo$460b2o2bo81bo3bo$461bobo81b2obo3bo$461b3o
82b2o2bobo$487b4o18bo36b2o4b2o$486b2o2bo17b3o35bo5b2o$487bobo18b3o34b
2o3bo2bo$488b2o55b5o$544bo3b5o$541bo6b2o$541bob2obobo$540bobob2obo$
540b2o2bob2o$539bobo2bo$544b3o$454b4o93bo$454bo2b2o89b2obo$453bo5bo91b
o$454b2o2bo$454bo3$507b3o51b2o10b2o$506b3obo51bo9bob3o$510b2o47b3o10bo
b3o$506b2o3bo47bo12b2o$509b3o14$107bo$107bobo$107b2o29$127bo$125b2o$
126b2o18$62bo$62bobo$62b2o7$52bo$51bo$51b3o37$10bo$9bo$9b3o2$b2o$o2bo$
o2bo$b2o!
Also, there is now a mainspace wiki page: OCA:Travelling Ts - it needs to be expanded with more references and content.

EDIT: p1260 Climbing C loop which should not work but does, based on a reaction found while looking for over-unity reactions with the C:

Code: Select all

x = 494, y = 494, rule = B3/S23-a5
218b2ob2o$218bo3bo$219bobo$216b4ob4o$215bo2b5o2bo$215b2o7b2o$241b2o$
241bobo$243bo$242b2ob2o$242b3obo$242bo$242b3obo$242b2ob2o$243bo$241bob
o$69b2ob2o167b2o$69bo3bo$70bobo149b2o$67b4ob4o146bobo$66bo9bo147bo$66b
2o3bo3b2o146b2ob2o$71bo151b3obo$223bo$81bo141b3obo$79b2o142b2ob2o$81bo
142bo$222bobo$222b2o33$374b3o$373b3obo$377b2o$373b2o3bo$376b3o$472b2o$
472bobo$474bo$474bob2o$474b2obo$471b2o$474b2obo$381bo92bob2o$380b2o92b
o$379bo2bo89bobo$380b4o88b2o$380b2o3bo$382bo2bo$383bo28$74b3o$74bobo$
73b2o2bo$73b2ob2o$74b3o6$64b2o$62b2obo$62bo2bo$63b3o$64bo31$236b3o$
237bo6$467b3o$468bo44$243bo$241b2o$242b2o8$255bo$253b2ob2o230b2o$252bo
bo233bobo$253bobo234bo$253bo235b2ob2o$253b3o233b3obo$254bo234bo$254bo
234b3obo$465b2o7b2o13b2ob2o$262bo202bo2b5o2bo14bo$261bobo202b4ob4o13bo
bo$262bo206bobo16b2o$468bo3bo$468b2ob2o3$224bo$223bobo$224bo4$261b2o$
218b2o41b3o$215b3obo11bo29b2o$215b3obo9b2ob2o$217b2o11bobo$477b2o7b2o$
477bo2b5o2bo$478b4ob4o$481bobo$480bo3bo$480b2ob2o$9b2ob2o$9bo3bo$10bob
o$7b4ob4o$6bo2b5o2bo$6b2o7b2o259b3o$275bo2bo$275b3o$74bo201b2o$72b2o
202b2o$74bo4$269bo$268bobo$269bo3$21b2ob2o$21bo3bo$4b2o16bobo206bo$3bo
bo13b4ob4o202bobo$3bo14bo2b5o2bo202bo$2ob2o13b2o7b2o$ob3o$4bo$ob3o233b
o$2ob2o232bob3o$3bo233b2o2b3o$3bobo230bo2bobo$4b2o231bo$237bo41$366b2o
$366bobo$366bo52$430b2o$430bobo$429bo2b2o$429b4o3$416b2o$414b5o$414bo
3bo$414b2ob2o$416b2o31$108b2o2$20b2o85bo2bo$19bobo86bob2o$19bo89b2ob2o
$16b2obo89b2obo$16bob2o91bo$21b2o$16bob2o72bo$16b2obo73b2o$19bo72bo$
19bobo$20b2o94b3o$116bob2o$116bo3bo$119b2o$117bob2o$117bobo33$270b2o$
269bobo$269bo$266b2ob2o$266bob3o$270bo$266bob3o151bo$266b2ob2o146b2o3b
o3b2o$269bo147bo9bo$269bobo146b4ob4o$270b2o149bobo$420bo3bo$251b2o167b
2ob2o$250bobo$250bo$247b2ob2o$247bob3o$251bo$247bob3o18bo$247b2ob2o19b
2o$250bo19bo$250bobo$251b2o$268b2o7b2o$268bo2b5o2bo$269b4ob4o$272bobo$
271bo3bo$271b2ob2o!
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ThePlayzr
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Re: Travelling Ts(b3s23-a5) and its variants

Post by ThePlayzr »

ThePlayzr wrote: January 30th, 2026, 8:28 pm Yes, I used the tubstretcher as a partial.
Once I have increased these numbers by a reasonable amount (except 8x9), I will continue searching for tubeaters.
tubeater partial:

Code: Select all

x = 57, y = 54, rule = B3/S23-a5
21b2o3b2o27b2o$3o3b2o3bo11bo3bo5b3o3b2obobob2o6bobo$6b2o6bo4bo3bo6bob
3o4b4ob2o3bob5o$2o2bobo2b2o2bobobo7b2o2b4ob4o2b2o3bob2o3bo2bo$2o2bo6b
obo2b7o2bobob2o3bobo8bo3bo2bo$3bobo7b3o3b3ob2o3b2o3b2ob2o2b3o3bo3b4ob
o$4bobo18b2o2b2obobobob8ob3ob2o$5bobo17bob2obo2bo2b2o4bo5bobo$6bobo20b
o7b4o2bo2bob2ob2obo$7bobo32b2o2b2ob2o4bo$9bo2b2o32b3o3bob2o$9b2o42b3o
$12b3o$12bo$11b2o$11b3o$13b2o2b3o$14b6o$14b2o3bo$16bo2bob2o$16bo2bobo
$18bo$20b2o2bo$20b3ob2o2$24bob2o$25b3o$27bo2$26bobo$26bobo$28b3o$29b2o
$28bobo$29b3o$29bobo$31b2o$31b2o2bo$32bo2bo$35b2o$36bo$37bo$37b3o$38b
2o$40bo$41b2obo$42bo3bo$46bo$44bo2bo$46bo$46bo$49bo$47bobo$48b2o!
[[ TRACK 1/5 1/5 LOOP 5 GPS 1 AUTOSTART ]]
All p3s with 16 or less cells that have an 8x9, 7x10, 6x11, 5xn, or smaller bounding box are known now.
EDIT: 6x13 proven
Please visit my rules (found on my wiki page) and contribute!
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I have LLS and qfind.
My avatar is the 80th most common pattern, and I have the 80th most posts on the forums.
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Re: Travelling Ts(b3s23-a5) and its variants

Post by I6_I6 »

Two different c/3d tubeaters, using rlifesrc:

Code: Select all

x = 63, y = 63, rule = B3/S23-a5
bo$obo$bobo$2bobo$3bobo$4bobo$5bobo$6bobo$7bobo$8bobo$9bobo$10bobo$11b
obo$12bobo$13bobo$14bobo$15bobo$16bobo$17bobo$18bobo$19bobo$20bobo$21b
obo$22bobo$23bobo$24bobo$25bobo$26bobo$27bobo$28bobo$29bobo$30bobo$31b
obo$32bobo$33bobo$34bobo$35bobo$36bobo$37bobo$38bobo$39bobo$40bobo$41b
obo$42b2o$43bob3o$46b3o$43b2o3bo$42bo7b2o$42bo7b2o$42bobo5bo$42b4o$42b
4o$44b2obo$50bo$45bo2b2o2bo$46bo3bob2o$49bo2b2obo6bo$50bo4bo5b2o$55bo
2b5o$54bobo2b2o$58bobobo$61bo$62bo!

Code: Select all

x = 64, y = 63, rule = B3/S23-a5
bo$obo$bobo$2bobo$3bobo$4bobo$5bobo$6bobo$7bobo$8bobo$9bobo$10bobo$11b
obo$12bobo$13bobo$14bobo$15bobo$16bobo$17bobo$18bobo$19bobo$20bobo$21b
obo$22bobo$23bobo$24bobo$25bobo$26bobo$27bobo$28bobo$29bobo$30bobo$31b
obo$32bobo$33bobo$34bobo$35bobo$36bobo$37bobo$38bobo$39bobo$40bobo$41b
obo$42b2o$43bob3o$46b3o$43b2o3bo$42bo7b2o$42bo7b2o$42bobo5bo$42b4o$42b
4o$44b2obo$50bo$45bo2b2o2bo$46bo3bob4o$49bo2b4o$50bo3b2o$54b2o3b2o$54b
5o2bobo$54bob4obo$58b2o$58bo2bo!
ThePlayzr wrote: January 29th, 2026, 6:45 am I am currently searching for c/4d tubeaters with RLS, with limited success. My search is still going, but here's a partial:
...
I think a more square-shaped search area might yield better results. Your partials seem to be restricted to long horizontal rectangles.

EDIT:
Here's another one:

Code: Select all

x = 68, y = 61, rule = B3/S23-a5
bo$obo$bobo$2bobo$3bobo$4bobo$5bobo$6bobo$7bobo$8bobo$9bobo$10bobo$11b
obo$12bobo$13bobo$14bobo$15bobo$16bobo$17bobo$18bobo$19bobo$20bobo$21b
obo$22bobo$23bobo$24bobo$25bobo$26bobo$27bobo$28bobo$29bobo$30bobo$31b
obo$32bobo$33bobo$34bobo$35bobo$36bobo$37bobo$38bobo$39bobo$40bobo$41b
obo$42b2o$43bob3o$46b3o$43b2o3bo$42bo7b2o$42bo7b2o$42bobo5bo$42b4o12b
2o$42b4o11b2o2b2o$44b2obo8b2o4b2obo$50bo4b6o3bo$45bo2b2o4b3o2bo4bobo$
46bo3bo2b4o9b2o$49bo3bo2bo9bo$50bo16bo$52b2o$51b2o$53bo!
The second is the smallest so far.

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by hibiscus »

c/6d partial, off by one cell after 6 generations:

Code: Select all

x = 6, y = 4, rule = B3/S23-a5
2b2o$b3o$2bo2bo$3o!
I've begun work on the animated timeline again. Completion should happen by 16 February 2026.
Edit (2026/02/16 19:40): Yes, I know I forgot about this.
Last edited by hibiscus on February 16th, 2026, 1:40 pm, edited 1 time in total.

Code: Select all

#C [[ ZOOM 8 TRACK -3/87 -1/87 ]]
x = 4, y = 5, rule = B35ay/S2-i3-e4ey5j
2bo$b2o$2obo$bobo$2b2o!
29.09.26
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Re: Travelling Ts(b3s23-a5) and its variants

Post by I6_I6 »

Not sure if this Margolus p6 has been noticed before:

Code: Select all

x = 18, y = 16, rule = B3/S23-a5
8b2o$8b2o$8b2o$8b2o$8b2o$8b2o$6o2b2o2b6o$6o2b2o2b6o$6o2b2o2b6o$6o2b2o
2b6o$8b2o$8b2o$8b2o$8b2o$8b2o$8b2o!

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by ThePlayzr »

I6_I6 wrote: February 5th, 2026, 1:20 pm Not sure if this Margolus p6 has been noticed before:

Code: Select all

x = 18, y = 16, rule = B3/S23-a5
8b2o$8b2o$8b2o$8b2o$8b2o$8b2o$6o2b2o2b6o$6o2b2o2b6o$6o2b2o2b6o$6o2b2o
2b6o$8b2o$8b2o$8b2o$8b2o$8b2o$8b2o!
It is new.
It can be extended in a variety of ways:

Code: Select all

x = 56, y = 32, rule = B3/S23-a5
36b2o$36b2o$34b2o2b2o$34b2o2b2o$34b2o2b2o$34b2o2b2o$14b2o20b2o$14b2o20b
2o$14b2o14b14o$14b2o14b14o$14b2o14b14o$14b2o14b14o$6b6o2b2o2b6o12b2o$
6b6o2b2o2b6o12b2o$2b2o2b6o2b2o2b6o2b2o6b2o2b2o6b2o$2b2o2b6o2b2o2b6o2b
2o6b2o2b2o6b2o$2o2b2o8b2o10b2o6b2o2b2o6b2o$2o2b2o8b2o10b2o6b2o2b2o6b2o
$2o2b2o8b2o10b2o8b2o8b2o$2o2b2o8b2o10b2o8b2o8b2o$2b2o2b6o2b2o2b6o2b2o
2b14o2b2o2b6o$2b2o2b6o2b2o2b6o2b2o2b14o2b2o2b6o$6b6o2b2o2b6o2b2o2b14o
2b2o2b6o$6b6o2b2o2b6o2b2o2b14o2b2o2b6o$14b2o10b2o8b2o8b2o$14b2o10b2o8b
2o8b2o$14b2o10b2o6b2o2b2o6b2o$14b2o10b2o6b2o2b2o6b2o$14b2o10b2o6b2o2b
2o6b2o$14b2o10b2o6b2o2b2o6b2o$36b2o$36b2o!
Edit: you can even make an agar:

Code: Select all

x = 0, y = 0, rule = B3/S23-a5:T24,16
6o2b2o2b6o2b2o$6o2b2o2b6o2b2o$6o2b2o2b6o2b2o$6o2b2o2b6o2b2o$8b2o10b2o
$8b2o10b2o$8b2o10b2o$8b2o10b2o$6o2b2o2b6o2b2o$6o2b2o2b6o2b2o$6o2b2o2b
6o2b2o$6o2b2o2b6o2b2o$8b2o10b2o$8b2o10b2o$8b2o10b2o$8b2o10b2o$8b2o10b
2o!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by mmmmmmmmm »

I6_I6 wrote: February 5th, 2026, 1:20 pm Not sure if this Margolus p6 has been noticed before:

Code: Select all

x = 18, y = 16, rule = B3/S23-a5
8b2o$8b2o$8b2o$8b2o$8b2o$8b2o$6o2b2o2b6o$6o2b2o2b6o$6o2b2o2b6o$6o2b2o
2b6o$8b2o$8b2o$8b2o$8b2o$8b2o$8b2o!
reduced

Code: Select all

x = 18, y = 16, rule = B3/S23-a5
8b2o$8b2o$8b2o$8b2o$8b2o$8b2o$4b2o2b2o2b2o$4b2o2b2o2b2o$4b2o2b2o2b2o$4b2o2b2o
2b2o$8b2o$8b2o$8b2o$8b2o$8b2o$8b2o!
mmmmmmmmm, I love eating spaceships.
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Re: Travelling Ts(b3s23-a5) and its variants

Post by ThePlayzr »

After 2 days, 15 hours, 54 minutes, and 2 seconds of searching, I disproved the existence of a c/4d tubeater in a 12x12 bounding box. Subsequently, I started a long horizontal search, but going in a different direction to my original search. To my utter disbelief, it finished in just under 15 minutes, finding a tubeater with 9 different combinations of useless gliders around it. Below is the tubeater with none of the gliders, paired with the c/4d tubstretcher:

Code: Select all

x = 102, y = 54, rule = B3/S23-a5
3o$o$bo3bo$3b2ob2o2$5bo2bo2$7b2o$8bo$9bo$10b2o$10b2o$11b2o$13b2o$14b3o
3$15b3o$16b4o$19b4o$18b2ob2o$20bob3o$26b3o$23b2o2b2o$27bo2bo$28bob2o2$
30bo3bo$30b2ob2o$30b2o$33b5o$32bo3b2o$36b2o$33b2obo$35b2o$35b3o3bo$37b
2o2bobo$38b4obo$38b2o$42bo$42b3o$45bo$44bobo$45bobo$46bobo$47bobo5b3o
14b3o14b2o3b2o$48bobo4bo6b3o7bo15b2o3b2o$49bobo4bo5bo10bo10b3o2bobo3b
o$50bobo5bo5bob3o6bo7bo2bo3bo$51bobo3b3obo4b3ob2o2b4ob6o5bo5b2o$52bob
o2bobo4bo3b4o2bobob2ob3o8bo2b2o2bo$53bobo4b3o6bobobo3bo4bo2b2o5b2o4b4o
$54b3o3b2ob2o7bo4b3ob3ob2o7bo2bo3bo$55b2o16b2o2bo4b2ob2o11bo!
Anyway, here's a diagonal growing spaceship, also showcasing the c/3d tubstretcher can stretch two tubs:

Code: Select all

x = 96, y = 65, rule = B3/S23-a5
14b2obo$10b3obob6o$9bo2bobo3b3obo$8b2o6bo4b2o$7b2obob2o5bo2b2o$6b2o4b
obo4b2o4bo$5b2o3b2ob2o4b2obob2o$4b2o5b2o$3b2o4bo2bo7bo2bo$2b2o4bob2o3b
2o4bobobo$bo2bobo2bo2b3o2bo7b2obo$bo4b2obo4b2o8b6o$b2ob2ob2obo2b3o9b2o
bo2bo$4bobo3bob3o10b2o2bobo$3o2b2o3b5ob2o7b2o3bo$o8bob2o5bo10bo$bobo5b
o4bo3bo9bo2b2o$2o8bo3bo3b3o7bo4bo$b2o12b5o8bo3bo$b2ob3o10b2o$b2o2b2ob
o8bo3b2ob2o$bobo5bo10bob2obo$2b3obo13b2obo2b2o$4bo3b2o11b2obo2b6obo$6b
o4bo8bo2bo2bob2o4b2obo$5b2o2b6o5b2o3b4o3bo2bo2bo2b2o$10b5o7bob2o2b2ob
obobo4b2obo$11bo10b2obobobo3bo5bobo$10b3o3b3o4b4o4bob2o3b3obo$11bobob
o7b2ob2o4b2obo2bo2bobo5b3o14b3o14b2o3b2o$14bo8bo8bobo4bo2bobo4bo6b3o7b
o15b2o3b2o$12b2o2bo6bo2bobo6bo7bobo4bo5bo10bo10b3o2bobo3bo$16bobo4bob
o3b2o5b2o6bobo5bo5bob3o6bo7bo2bo3bo$17bo8b4o6b2o7bobo3b3obo4b3ob2o2b4o
b6o5bo5b2o$23b2o3bobo15bobo2bobo4bo3b4o2bobob2ob3o8bo2b2o2bo$24b3o2bo
bo15bobo4b3o6bobobo3bo4bo2b2o5b2o4b4o$32b2o14b3o3b2ob2o7bo4b3ob3ob2o7b
o2bo3bo$24bo7b2o15b2o16b2o2bo4b2ob2o11bo$25bo2b2o$27b2obo$26bobo$25b3o
bo$25bo2bobo$26bo2bobo$30bobo$31b2o$32bob3o$35b3o$32b2o3bo$31bo7b2o$31b
o7b2o$31bobo5bo$31b4o$31b4o$33b2obo$39bo$34bo2b2o2bo$35bo3bob4o$38bo2b
4o$39bo3b2o$43b2o3b2o$43b5o2bobo$43bob4obo$47b2o$47bo2bo!
Please visit my rules (found on my wiki page) and contribute!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by PK22 »

1503 generation diehard, which I think is a new record:

Code: Select all

x = 31, y = 31, rule = B3/S23-a5
2bo2bobobobob5ob2obob2o2bo$b4o3b3o2bo3b2ob3o2b2o2bo$o2bo3b3o3bobob2o2b
ob2obo2b2o$3b3ob3o2bob4ob4ob6o$b3ob6obob2ob2o2b5obobo$2ob3obob3obob2ob
3o4b3o2bo$ob3o2b2obo2bob3o3bobo2bo$2bobob2ob2o4b2ob11obo$2ob2o2bob2obo
bo2bo3bo2bob4o$b4ob5o3b2obo2b4ob6o$2obobobobob3obo5b6o2bo$o2bobobo4b3o
3bobo4bo4bo$b2ob2obo3b2o2bo2b3obo3b2o$5obob2o3b5ob2o3b2o2b3o$o2bob3o5b
o3bobob2o3b2o2bo$ob6ob2ob2obob2ob2ob6obo$o2b2o3b2obobo3bo5b3obo2bo$3o
2b2o3b2ob5o3b2obob5o$3b2o3bob3o2bo2b2o3bob2ob2o$o4bo4bobo3b3o4bobobo2b
o$bo2b6o5bob3obobobobob2o$6ob4o2bob2o3b5ob4o$b4obo2bo3bo2bobob2obo2b2o
b2o$ob11ob2o4b2ob2obobo$4bo2bobo3b3obo2bob2o2b3obo$o2b3o4b3ob2obob3obo
b3ob2o$bobob5o2b2ob2obob6ob3o$b6ob4ob4obo2b3ob3o$2o2bob2obo2b2obobo3b
3o3bo2bo$bo2b2o2b3ob2o3bo2b3o3b4o$2bo2b2obob2ob5obobobobo2bo!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by I6_I6 »

PK22 wrote: February 8th, 2026, 8:59 am 1503 generation diehard, which I think is a new record:

Code: Select all

x = 31, y = 31, rule = B3/S23-a5
2bo2bobobobob5ob2obob2o2bo$b4o3b3o2bo3b2ob3o2b2o2bo$o2bo3b3o3bobob2o2b
ob2obo2b2o$3b3ob3o2bob4ob4ob6o$b3ob6obob2ob2o2b5obobo$2ob3obob3obob2ob
3o4b3o2bo$ob3o2b2obo2bob3o3bobo2bo$2bobob2ob2o4b2ob11obo$2ob2o2bob2obo
bo2bo3bo2bob4o$b4ob5o3b2obo2b4ob6o$2obobobobob3obo5b6o2bo$o2bobobo4b3o
3bobo4bo4bo$b2ob2obo3b2o2bo2b3obo3b2o$5obob2o3b5ob2o3b2o2b3o$o2bob3o5b
o3bobob2o3b2o2bo$ob6ob2ob2obob2ob2ob6obo$o2b2o3b2obobo3bo5b3obo2bo$3o
2b2o3b2ob5o3b2obob5o$3b2o3bob3o2bo2b2o3bob2ob2o$o4bo4bobo3b3o4bobobo2b
o$bo2b6o5bob3obobobobob2o$6ob4o2bob2o3b5ob4o$b4obo2bo3bo2bobob2obo2b2o
b2o$ob11ob2o4b2ob2obobo$4bo2bobo3b3obo2bob2o2b3obo$o2b3o4b3ob2obob3obo
b3ob2o$bobob5o2b2ob2obob6ob3o$b6ob4ob4obo2b3ob3o$2o2bob2obo2b2obobo3b
3o3bo2bo$bo2b2o2b3ob2o3bo2b3o3b4o$2bo2b2obob2ob5obobobobo2bo!
It isn't exactly small, but I love how it ends.
12-cell reduction:

Code: Select all

x = 31, y = 31, rule = B3/S23-a5
2bo2bobo3bob5ob2obob2o2bo$b4o3bo4bo3b2ob3o2b2o2bo$o2bo3b3o3bobob2o2bo
b2obo2b2o$3b3ob3o2bob4ob4ob6o$b3ob6obob2ob2o2b5obobo$2ob3obob3obob2ob
3o4b3o2bo$ob3o2b2obo2bob3o3bobo2bo$2bobob2ob2o4b2ob11obo$2ob2o2bob2ob
obo2bo3bo2bob4o$b4ob5o3b2obo2b4ob4o$2obobobobob3obo5b6o$o2bobobo4b3o3b
obo4bo4bo$b2ob2obo3b2o2bo2b3obo3b2o$5obob2o3b5ob2o3b2o2b3o$o2bob3o5bo
3bobob2o3b2o2bo$ob6ob2ob2obob2ob2ob6obo$o2b2o3b2obobo3bo5b3obo2bo$3o2b
2o3b2ob5o3b2obob5o$3b2o3bob3o2bo2b2o3bob2ob2o$o4bo4bobo3b3o4bobobo2bo
$4b6o5bob3obobobobob2o$2b4ob4o2bob2o3b5ob4o$b4obo2bo3bo2bobob2obo2b2o
b2o$ob11ob2o4b2ob2obobo$4bo2bobo3b3obo2bob2o2b3obo$o2b3o4b3ob2obob3ob
ob3ob2o$bobob5o2b2ob2obob6ob3o$b6ob4ob4obo2b3ob3o$2o2bob2obo2b2obobo3b
3o3bo2bo$bo2b2o2b3ob2o3bo4bo3b4o$2bo2b2obob2ob5obo3bobo2bo!

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by PK22 »

4625 generation methuselah:

Code: Select all

x = 31, y = 31, rule = B3/S23-a5
2o5b2obob2ob3obob3o4bobo$2b4o2bob6o3bo2bo7bo$o2bobo2bo3bo2bo2b8o3bo$5b
4ob2o2b3obo2bo6b2o$4b2ob2ob2o3bo3b3o3b2o2bo$2bob2o4b2obob2o2b3o2b6o$2b
o2b5o4b2o2b7o2bo$obo3b4ob3o2b9ob2o2bo$3o3b3o2b2o2b3ob2ob3ob5o$ob6o2b3o
3b2o2bo2b2o$2bob6obo3bobo3bo3b3ob2o$3ob5o2b3ob3ob5ob3obo$2b2o2b2o6b3o
2bob3o4b3o$o6b5o3bo3bo3bobo3b2o$o2bobob3ob2o2bo2bo5bo2bobo$7obob11obob
7o$bobo2bo5bo2bo2b2ob3obobo2bo$2o3bobo3bo3bo3b5o6bo$3o4b3obo2b3o6b2o2b
2o$bob3ob5ob3ob3o2b5ob3o$2ob3o3bo3bobo3bob6obo$6b2o2bo2b2o3b3o2b6obo$
5ob3ob2ob3o2b2o2b3o3b3o$o2b2ob9o2b3ob4o3bobo$3bo2b7o2b2o4b5o2bo$b6o2b
3o2b2obob2o4b2obo$bo2b2o3b3o3bo3b2ob2ob2o$b2o6bo2bob3o2b2ob4o$bo3b8o2b
o2bo3bo2bobo2bo$o7bo2bo3b6obo2b4o$obo4b3obob3ob2obob2o5b2o!
Soup with final population 520, which is greater than its initial population:

Code: Select all

x = 31, y = 31, rule = B3/S23-a5
o3bob2o5b3ob3o2b2o3bo2bo$bo2b3obob2obob3ob2o2bo2bo2bo$2b2obo3bo4bob3o
3bob2ob2o$obo3b4ob5obob7o2bo$bo2b4o5bobob2ob2o4bo2b2o$2b2ob2o3b2o2bob
2o3b2o2b2ob2o$2b2o2b3ob2o3b4ob2ob5ob2o$2obo2bobob2obobo2bob3obob2o2bo$
ob2obobobo4bob4o3b2o2bobo$3b5ob2ob4o2b5o4b2o$bob2ob2ob2obo2bo2b4ob3o3b
o$2obo4b3o6bo5b3obobo$obobob5obob2o2bob2o5bo$7obo2bob3obo3bobo2b2ob2o$
b2o2b2obo5b5o2b2o2bob2obo$2ob2ob2ob2ob3ob3ob2ob2ob2ob2o$ob2obo2b2o2b5o
5bob2o2b2o$2ob2o2bobo3bob3obo2bob7o$3bo5b2obo2b2obob5obobobo$bobob3o5b
o6b3o4bob2o$bo3b3ob4o2bo2bob2ob2ob2obo$2b2o4b5o2b4ob2ob5o$bobo2b2o3b4o
bo4bobobob2obo$o2b2obob3obo2bobob2obobo2bob2o$2ob5ob2ob4o3b2ob3o2b2o$b
2ob2o2b2o3b2obo2b2o3b2ob2o$2o2bo4b2ob2obobo5b4o2bo$2bo2b7obob5ob4o3bob
o$2b2ob2obo3b3obo4bo3bob2o$bo2bo2bo2b2ob3obob2obob3o2bo$o2bo3b2o2b3ob
3o5b2obo3bo!
EDIT: A p7 in 18G:

Code: Select all

x = 368, y = 90, rule = B3/S23-a5
260bobo102bobo$261b2o102b2o$261bo43bobo58bo$306b2o$306bo8bo$313b2o$
298bo15b2o$299bo$297b3o12$107bo91bo$108bo89bo$106b3o89b3o2$122bo61bo$
121bo63bo$121b3o59b3o12$335b2o$210b2o123bobo$209bobo123bo$8b2o40bo158b
2o$8bobo39bobo251b2o16b2o$8bo26bo14b2o252bobo14bobo$2o32bobo64bo6bo89b
o6bo99b2o14b2o$b2o30bo2bo63bobo4bobo10b2o63b2o10bobo4bobo$o33b2o63bo2b
o4bo2bo9bobo61bobo9bo2bo4bo2bo$100b2o6b2o10bo65bo10b2o6b2o103bo6bo$
309bobo4bobo$308bo2bo4bo2bo$39b3o267b2o6b2o$41bo$40bo35$266b2o92b2o$
267b2o90b2o$266bo94bo!
There's probably a 3G way to get the domino/block sparks in.
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Re: Travelling Ts(b3s23-a5) and its variants

Post by hotcrystal0 »

PK22 wrote: January 31st, 2026, 8:53 am Also, there is now a mainspace wiki page: OCA:Travelling Ts - it needs to be expanded with more references and content.
Can you link the mainspace page on your userspace page for the rule?
138 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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Re: Travelling Ts(b3s23-a5) and its variants

Post by R2INT »

I wonder if there are any useful 1T seeds that can help with universal construction. I have collected the 1-object seeds with objects having more that 1 billion occurrences:

Code: Select all

x = 255, y = 344, rule = B3/S23-a5
131b3o15b3o15b3o15b3o15b3o5$127b3o16b3o16b3o16b3o16b3o$128bo18bo18bo18b
o18bo13$132bo17bo17bo17bo17bo$132bo17bo17bo17bo17bo$132bo17bo17bo17bo
17bo4$127b3o16b3o16b3o16b3o16b3o$128bo18bo18bo18bo18bo22$131b3o15b3o15b
3o15b3o15b3o$131b3o15b3o15b3o15b3o15b3o7$127b3o16b3o16b3o16b3o16b3o$128b
o18bo18bo18bo18bo16$132bo17bo17bo17bo17bo$132bo17bo17bo17bo17bo$132bo
17bo17bo17bo17bo$132bo17bo17bo17bo17bo6$127b3o16b3o16b3o16b3o16b3o$128b
o18bo18bo18bo18bo15$133b2o15b2o15b2o15b2o15b2o$133b2o15b2o15b2o15b2o15b
2o$133b2o15b2o15b2o15b2o15b2o6$128b3o15b3o15b3o15b3o15b3o$129bo17bo17b
o17bo17bo16$132b4o13b4o13b4o13b4o13b4o7$128b3o15b3o15b3o15b3o15b3o$129b
o17bo17bo17bo17bo21$84b2o17b2o16b2o16b2o16b2o16b2o16b2o16b2o16b2o16b2o
$83bo2bo15bo2bo14bo2bo14bo2bo14bo2bo14bo2bo14bo2bo14bo2bo14bo2bo14bo2b
o$84bobo16bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo$85bo18b
o17bo17bo17bo17bo17bo17bo17bo17bo5$79b3o17b3o16b3o16b3o16b3o16b3o16b3o
16b3o16b3o16b3o$80bo19bo18bo18bo18bo18bo18bo18bo18bo18bo22$86bo18bo17b
o17bo17bo17bo17bo17bo17bo17bo$85bobo16bobo15bobo15bobo15bobo15bobo15b
obo15bobo15bobo15bobo$84bo2bo15bo2bo14bo2bo14bo2bo14bo2bo14bo2bo14bo2b
o14bo2bo14bo2bo14bo2bo$85b2o17b2o16b2o16b2o16b2o16b2o16b2o16b2o16b2o16b
2o5$80b3o17b3o16b3o16b3o16b3o16b3o16b3o16b3o16b3o16b3o$81bo19bo18bo18b
o18bo18bo18bo18bo18bo18bo12$o13b2o5b2o5b2o7b2o$o5b4o3bo2bo3bobo4bo2bo
5bo2bo$o13bobo4bo6b2o6bo2bo$15bo21b2o2$78bo19bo19bo19bo19bo19bo19bo19b
o19bo$77bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo$78b2o18b
2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o8$73b3o18b3o18b3o18b3o18b3o18b3o
18b3o18b3o18b3o$74bo20bo20bo20bo20bo20bo20bo20bo20bo16$78b2o18b2o18b2o
18b2o18b2o18b2o18b2o18b2o18b2o$77bobo17bobo17bobo17bobo17bobo17bobo17b
obo17bobo17bobo$78bo19bo19bo19bo19bo19bo19bo19bo19bo8$73b3o18b3o18b3o
18b3o18b3o18b3o18b3o18b3o18b3o$74bo20bo20bo20bo20bo20bo20bo20bo20bo20$
95bo22bo23bo25bo24bo$94bobo20bobo21bobo23bobo22bobo$94bobo20bobo21bob
o23bobo22bobo$95bo22bo23bo25bo24bo6$98b3o19b3o20b3o22b3o21b3o$99bo21b
o22bo24bo23bo15$95b2o22b2o22b2o22b2o23b2o$94bo2bo20bo2bo20bo2bo20bo2b
o21bo2bo$95b2o22b2o22b2o22b2o23b2o5$99b3o20b3o20b3o20b3o21b3o$100bo22b
o22bo22bo23bo33$93b2o26b2o26b2o26b2o26b2o$92bo2bo24bo2bo24bo2bo24bo2b
o24bo2bo$92bo2bo24bo2bo24bo2bo24bo2bo24bo2bo$93b2o26b2o26b2o26b2o26b2o
6$92b3o24b3o24b3o24b3o24b3o$93bo26bo26bo26bo26bo!
EDIT: Some 2-blinker seeds:

Code: Select all

x = 391, y = 405, rule = B3/S23-a5
39bo17bo17bo17bo17bo$39bo17bo17bo17bo17bo38b3o15b3o15b3o15b3o$39bo17b
o17bo17bo17bo4$34b3o16b3o16b3o16b3o16b3o34b3o16b3o16b3o16b3o$35bo18bo
18bo18bo18bo36bo18bo18bo18bo37$158bo15bo$60bo19bo21bo34bo20bo15bo$60b
o19bo21bo14b3o17bo20bo15bo22bo31b3o$60bo19bo21bo34bo59bo$26bo7bo30bo18b
o20bo18bo18bo16bo18bo17bo7bo18bo12bo$26bo7bo30bo18bo20bo18bo18bo16bo18b
o25bo18bo12bo$26bo7bo30bo18bo20bo18bo18bo16bo18bo25bo18bo12bo4$29b3o28b
3o16b3o18b3o16b3o16b3o14b3o16b3o23b3o16b3o10b3o$30bo30bo18bo20bo18bo18b
o16bo18bo25bo18bo12bo9$63bo15bo$63bo15bo$63bo15bo$97bo$33bo5b3o6bo17b
o16bo13bo7bo$33bo14bo17bo16bo13bo7bo$33bo14bo17bo16bo21bo3$32b3o$28b3o
12b3o15b3o14b3o19b3o$29bo14bo17bo16bo21bo37$99bo109b3o13b3o14b3o21b3o
$99bo92b3o$69bo11b3o15bo14b3o33bo$27bo5bo14b3o3bo14bo4bo11bo15bo16bo10b
3o4bo12bo5bo20bo18bo13bo16bo17bo20bo$27bo5bo20bo14bo4bo11bo15bo16bo17b
o12bo5bo20bo18bo13bo16bo17bo20bo$27bo5bo20bo19bo11bo15bo16bo17bo18bo20b
o18bo13bo16bo17bo20bo3$177b3o$29b3o18b3o17b3o9b3o13b3o14b3o15b3o16b3o
18b3o16b3o11b3o14b3o15b3o18b3o$30bo20bo19bo11bo15bo16bo17bo18bo20bo18b
o13bo16bo17bo20bo10$324bo$154bo15bo16bo15bo16bo57bo45bo$154bo15bo16bo
15bo16bo36b3o18bo45bo$154bo15bo16bo15bo16bo20bo36bo23b3o$32bo208bo$28b
o3bo19bo3bo18bo19bo18bo18bo18bo16bo17bo16bo17bo14bo3bo14bo24bo25bo17b
o$28bo3bo19bo3bo18bo3bo15bo18bo18bo18bo16bo17bo16bo17bo14bo18bo24bo25b
o17bo$28bo23bo3bo18bo3bo15bo3bo14bo18bo18bo16bo17bo16bo17bo14bo18bo24b
o25bo17bo$79bo19bo36bo$99bo36bo$115b3o18bo$24b3o21b3o20b3o17b3o16b3o16b
3o16b3o14b3o15b3o14b3o15b3o12b3o16b3o22b3o23b3o15b3o$25bo23bo22bo19bo
18bo18bo18bo16bo17bo16bo17bo14bo18bo24bo25bo17bo15$28bo22bo23bo$28bo22b
o23bo62b3o18b3o24bo$28bo22bo23bo45bo64bo151bo$121bo64bo124bo26bo$121b
o162bo26bo26bo$28bo21bo21bo24bo19bo19bo19bo24bo18bo23bo25bo4bo22bo4bo
21bo4bo21bo$28bo21bo21bo24bo19bo19bo19bo24bo18bo23bo4bo20bo4bo22bo4bo
21bo26bo$28bo21bo21bo24bo19bo19bo19bo24bo18bo23bo4bo20bo4bo22bo26bo26b
o$204b3o23bo3$24b3o19b3o19b3o22b3o2b3o12b3o17b3o17b3o22b3o16b3o21b3o23b
3o25b3o24b3o24b3o$25bo21bo21bo24bo19bo19bo19bo24bo18bo23bo25bo27bo26b
o26bo13$197bo$26b3o20b3o21b3o20b3o21b3o74bo$144bo14b3o35bo$144bo$144b
o76b3o$241b3o$28bo21bo22bo21bo22bo20bo20bo15bo3b3o13bo19bo19bo24bo4b3o
27bo23bo$28bo21bo22bo21bo22bo20bo20bo15bo19bo19bo19bo24bo34bo4b3o16bo
$28bo21bo22bo21bo22bo20bo20bo15bo19bo19bo19bo24bo34bo23bo4b3o4$24b3o19b
3o20b3o19b3o20b3o18b3o18b3o13b3o17b3o17b3o17b3o22b3o32b3o21b3o$25bo21b
o22bo21bo22bo20bo20bo15bo19bo19bo19bo24bo34bo23bo7$83bo19b3o17b3o$25b
o57bo$7bo17bo16b3o17bo20bo$7bo17bo36bo83b3o$7bo4bo17bo17bo13bo5bo18bo
17bo17bo18bo22bo$12bo17bo17bo19bo18bo17bo17bo18bo22bo3b3o$12bo17bo17b
o19bo18bo17bo17bo18bo22bo4$8b3o15b3o15b3o17b3o16b3o15b3o15b3o16b3o20b
3o$9bo17bo17bo19bo18bo17bo17bo18bo22bo37$227bo16bo$114bo112bo16bo$17b
o3bo14bo4bo18bo19bo18bo14bo4bo12b3o3bo19bo18bo12bo5bo11b3o4bo11bo3bo12b
o4bo16bo22bo18bo20bo16bo17bo$17bo3bo14bo4bo12b3o3bo13bo5bo18bo14bo4bo
18bo12b3o4bo18bo12bo5bo18bo15bo17bo8b3o5bo22bo18bo20bo16bo17bo$17bo3b
o14bo4bo18bo13bo5bo12bo5bo19bo18bo19bo11b3o4bo12bo5bo18bo15bo17bo16bo
14b3o5bo18bo20bo16bo17bo$74bo18bo206b3o$93bo227b3o$338b3o$18b3o17b3o16b
3o17b3o16b3o17b3o16b3o17b3o16b3o16b3o16b3o13b3o15b3o14b3o20b3o16b3o18b
3o14b3o10b3o2b3o$19bo19bo18bo19bo18bo19bo18bo19bo18bo18bo18bo15bo17bo
16bo22bo18bo20bo16bo17bo9$36bo14bo$36bo14bo14bo$b3o14b3o15bo14bo14bo15b
o$7bo15bo15bo15bo10bo5bo9bo6bo$7bo15bo15bo15bo16bo9bo6bo$7bo15bo15bo15b
o16bo16bo4$4b3o13b3o13b3o13b3o14b3o14b3o$5bo15bo15bo15bo16bo16bo45$224b
o15bo12bo$24bo184bo14bo15bo12bo$24bo108b3o13b3o40bo16bo14bo15bo12bo$24b
o17bo129b3o17bo16bo$42bo20bo128bo$3bo20bo13bo3bo16bo3bo12bo3bo16bo14b
o19bo16bo19bo18bo17bo15bo16bo13bo$3bo20bo13bo20bo3bo12bo3bo16bo3bo10b
o19bo16bo19bo18bo17bo15bo16bo13bo$3bo20bo13bo20bo16bo3bo16bo3bo10bo3b
o15bo16bo19bo18bo17bo15bo16bo13bo$6b3o92bo14bo$116bo2$b3o18b3o11b3o18b
3o14b3o18b3o12b3o17b3o14b3o17b3o16b3o15b3o13b3o14b3o11b3o$2bo20bo13bo
20bo16bo20bo14bo19bo16bo19bo18bo17bo15bo16bo13bo34$124bo81bo17bo$124b
o46b3o15b3o14bo17bo95bo29b3o$124bo35bo45bo17bo60bo34bo14b3o$70bo71b3o
15bo124bo18b3o13bo$bo16bo15bo14bo3bo12bo3bo16bo18bo17bo14bo16bo3bo11b
o16bo15bo16bo14bo20bo21bo4bo14bo15bo15bo15bo12bo21bo6bo$bo3bo12bo15bo
14bo3bo12bo3bo16bo3b3o12bo17bo14bo16bo15bo16bo15bo16bo14bo20bo4b3o14b
o19bo15bo15bo15bo12bo6bo14bo6bo$bo3bo12bo15bo3bo10bo3bo12bo20bo18bo3b
3o11bo14bo16bo15bo16bo15bo16bo14bo4b3o13bo21bo19bo15bo15bo15bo12bo6bo
14bo6bo$5bo15b3o14bo329bo$38bo3$3o14b3o13b3o12b3o14b3o18b3o16b3o15b3o
12b3o14b3o13b3o14b3o13b3o14b3o12b3o18b3o19b3o17b3o13b3o13b3o13b3o10b3o
19b3o$bo16bo15bo14bo16bo20bo18bo17bo14bo16bo15bo16bo15bo16bo14bo20bo21b
o19bo15bo15bo15bo12bo21bo10$27bo$27bo17b3o$8bo18bo$2bo5bo13bo18bo$2bo
5bo13bo18bo$2bo19bo18bo5$b3o17b3o16b3o$2bo19bo18bo!
Last edited by R2INT on February 13th, 2026, 11:28 pm, edited 2 times in total.
Range-2 INT
R2INT's Rule Collection

Travelling Ts has surpassed LeapLife in post count, but not yet in technology.
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NNlk05
Posts: 611
Joined: January 14th, 2026, 8:42 pm
Location: Exploring in the Jungle of the INT Rulespace
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Re: Travelling Ts(b3s23-a5) and its variants

Post by NNlk05 »

I am now announcing I am getting into this rule.
Would someone contact me on Discord and get me up to speed on this rule. (I am on the CGoL server)
Feci quod potui, faciant meliora potentes.

Code: Select all

x = 10, y = 3, rule = B34twz/S23
b2o4b2o$obo4bobo$2bo4bo!
[[ AUTOSTART AUTOHIDEGUI TRACK 0 -47/270 ZOOM 4 GPS 45 STEP 3 THEME BOOK ]]
https://nnlk05.github.io

=3
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R2INT
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Re: Travelling Ts(b3s23-a5) and its variants

Post by R2INT »

If we want to proceed from Turing-completeness to universal construction, here are some of the things that need to be completed:
  • First, it will be very important to have a stable T reflector or a stable glider reflector. (The T seems to be the most common spaceship in this rule, so it makes the most sense to work with it.). A stable T reflector might require custom search software (INT versions of Bellman and Barrister) and new catalysts to be discovered. It will take a lot of effort to make a low repeat time T reflector, so we should focus on making conduits for chaotic reactions (like the conduit used in my P248)
  • We would want to make sure we have a good list of 1T and 1G seeds. These would make it significantly easier to construct complex patterns. It will be important to show that any T-constructible or glider-constructible pattern can be made with a p2 seed (or better, p1, though given that still lives are not too common it would make more sense to focus on p2)
  • Next, once we have shown that our seeds are universal, we will want to start working on making our slow salvo synthesis toolkit. We will need to choose our target pattern (in my opinion, the best candidate is the loaf, since that is the most common still life in this rule, and it allows for reasonably interesting reactions, whereas the two most common p2 oscillators do not host interesting reactions.
  • Once we are reasonably complete with our slow salvo synthesis toolkit, next up are the single channel syntheses. These are significantly more complicated than other syntheses. The best target object seems to be the loaf.
Finally, once all of these steps are completed, we have a finished universal construction toolkit. This should allow us to build advanced patterns that require universal construction in this rule.

EDIT: Found a nice clean T to glider seed:

Code: Select all

x = 7, y = 12, rule = B3/S23-a5
4b3o4$4bo$4bo$4bo4$3o$bo!
Range-2 INT
R2INT's Rule Collection

Travelling Ts has surpassed LeapLife in post count, but not yet in technology.
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