Looking for historic patterns

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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Sokwe
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Looking for historic patterns

Post by Sokwe » July 23rd, 2009, 1:23 am

I am looking for several historic patterns (primarily to add to the wiki):
  • "13-engine Cordership" (the first Cordership) - found
  • "Newshuttle" (first period 28 oscillator, found by David Buckingham - related pattern, "smaller newshuttle", is known) - found
  • "Mosquitoes" 1, 2, 3, and 4 (former smallest breeders) - found
  • "Teeth" (former smallest breeder) - found
  • P61.1 (the first period 61 oscillator to be created) - found
  • P59.1 (the first period 59 oscillator to be created) - found
I was wondering if this is the first period 33 oscillator - confirmed:

Code: Select all

x = 49, y = 31, rule = B3/S23
10b2o$6bo3b2o3bo$5bo10bo$4bo3bo4bo3bo10b2obobo4bo$3bob2o3b2o3b2obo8bob
ob2obo2bobo3b2o$2bobob4o2b4obobo5b3o2bo3b4obo3b2o$bo2b2ob2o4b2ob2o2bo
3bo3bobob2o4bo$5b2o8b2o7bobobobo2bob2o4b4o2b2o$3bob2o8b2obo9bo4bo2b2o
2bo4bo2bo$5bo10bo8bo3b2o3bo4bobo2bob2o$2o2bo12bo2b2o7b4obob2ob3o2bo$2o
2bo12bo2b2o2b2o3b2obo4bob2o2bob3o$5bo10bo10bo5bob3o2bo2b3o2bo$3bob2o8b
2obo5bob3o6bobo2bo2bo3b2o$5b2o8b2o7bo3bo5bo2b2obob2o$bo2b2ob2o4b2ob2o
2bo4bo3bobob2o3bob2ob3o$2bobob4o2b4obobo2bo2b3obobo2b3obo$3bob2o3b2o3b
2obo3bo2b3obobo2b3obo$4bo3bo4bo3bo7bo3bobob2o3bob2ob3o$5bo10bo7bo3bo5b
o2b2obob2o$6bo3b2o3bo8bob3o6bobo2bo2bo3b2o$10b2o15bo5bob3o2bo2b3o2bo$
24b2o3b2obo4bob2o2bob3o$29b4obob2ob3o2bo$25bo3b2o3bo4bobo2bob2o$28bo4b
o2b2o2bo4bo2bo$24bobobobo2bob2o4b4o2b2o$24bo3bobob2o4bo$25b3o2bo3b4obo
3b2o$27bobob2obo2bobo3b2o$28b2obobo4bo!
Last edited by Sokwe on August 17th, 2009, 7:22 pm, edited 2 times in total.
-Matthias Merzenich

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Macbi
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Joined: March 29th, 2009, 4:58 am

Re: Looking for historic patterns

Post by Macbi » July 23rd, 2009, 5:09 am

According to Jason Summers' webpage, Noam Elkies and Achim Flammenkamp made one in the June of 1997.

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Nathaniel
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Re: Looking for historic patterns

Post by Nathaniel » July 23rd, 2009, 7:59 am

Well, I finally found teeth by browsing through some old e-mails. Here it is:

Teeth:

Code: Select all

x = 472, y = 127, rule = S23/B3
466b3o$467bobbo$471bo$468bobo22$438bo$438boo$438bobbo$$439bobo$440bo5$
241boo$240bo$240bo$236b4o8$252boo$253bo$253boo$253bo$$250b3o45$3b3o$bo
bbo$o$bobo$264b3o$265bobbo$269bo$266bobo14$239boo$241bo$241bo$242b4o$
33bo$32boo$30bobbo$$30bobo$31bo!
Still haven't tracked down the others yet.

Edit: I just found a reference by Noam Elkies to the first p33 oscillator, which indicates that the one you posted is indeed the first. He wrote in Feb 2000 that the only known p33 oscillator at that time was made by combining a p11 and a p3 oscillator, and that there was only one pair of such oscillators that made that work. Given the discovery date of the p3 and the authors of the two oscillators (Achim and Noam), that seems pretty conclusive to me.

Edit again: Found the mosquitoes:

Mosquito 1:

Code: Select all

#C Nick Gotts Sep 29 19:23:02 1998
#r 23/3
#R -897 -206
x = 1794, y = 412
1660b4o$1659bo3bo$1663bo$1662bo29$1790b4o$1789bo3bo$1793bo$1792bo3$
1790bo$1791bo$1791bo$1790b2o$1789bo4$1790b4o$1789bo3bo$1793bo$1792bo
281$108b2o$107b4o$107b2ob2o$109b2o31$95b2o$94b4o$94b2ob2o$96b2o14$98bo
$99bo$94bo4bo$95b5o6$201b6o$133b5o64b3o$132bo4bo67bo$137bo$136bo3$b5o$
o4bo$5bo$4bo8$180b2o$178b2ob2o$178b4o$179b2o!
Mosquito 1 improvement by Stephen Silver using a LWSS predecessor instead of a LWSS

Code: Select all

#C mosquito1, a p280 MMS breeder
#C Original 103 cell version by Nick Gotts, 1998 Sep 29.
#C Improvement to 97 cells by Stephen Silver, 1998 Oct 6.
x = 1794, y = 411
1660b4o$1659bo3bo$1663bo$1662bo29$1790b4o$1789bo3bo$1793bo$1792bo3$
1790bo$1791bo$1791bo$1790boo$1789bo4$1790b4o$1789bo3bo$1793bo$1792bo
282$107bob3o$108b4o$107bo$112bo31$94bob3o$95b4o$94bo$99bo13$98bo$99bo$
94bo4bo$95b5o6$201b6o$133b5o64b3o$132bo4bo67bo$137bo$136bo3$b5o$o4bo$
5bo$4bo7$183bo$178bo$179b4o$178bob3o!
Mosquito 2:

Code: Select all

#C Nick Gotts Mon Oct 12 09:03:15 1998
#C mosquito2
#r 23/3
#R -822 -157
x = 1644, y = 315
1510b4o$1509bo3bo$1513bo$1512bo29$1640b4o$1639bo3bo$1643bo$1642bo3$
1640bo$1641bo$1641bo$1640b2o$1639bo4$1640b4o$1639bo3bo$1643bo$1642bo
126$94bob3o$95b4o$94bo$99bo29$b4o$o3bo$4bo$3bo60$411b6o$412b3o$415bo
15$393bo$388bo$389b4o$388bob3o6$203bo$204bo$199bo4bo$200b5o12$173b4o$
172bo3bo$176bo$175bo!
Mosquito 3:

Code: Select all

#C Nick Gotts Mon Oct 12 11:38:04 1998
#r 23/3
#R -1377 -325
x = 2754, y = 650
2620b4o$2619bo3bo$2623bo$2622bo29$2750b4o$2749bo3bo$2753bo$2752bo3$
2750bo$2751bo$2751bo$2750b2o$2749bo4$2750b4o$2749bo3bo$2753bo$2752bo
356$94bob3o$95b4o$94bo$99bo29$b4o$o3bo$4bo$3bo130$621b6o$622b3o$625bo
59$308bo$309bo$304bo4bo$305b5o12$278b4o$277bo3bo$281bo$280bo!
Mosquito 4:

Code: Select all

#C created by replacing a LWSS predecessor by a LWSS+junk predecessor
x = 2754, y = 650
2622bo$2623bo$2619bo3bo$2620b4o29$2752bo$2753bo$2749bo3bo$2750b4o4$
2749bo$2750boo$2751bo$2751bo$2750bo3$2752bo$2753bo$2749bo3bo$2750b4o
345$175bo$173bobboo$173b3o$174bo40$3bo$4bo$o3bo$b4o129$625bo$622b3o$
621b6o62$305b5o$304bo4bo$309bo$308bo10$280bo$281bo$277bo3bo$278b4o!

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calcyman
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Joined: June 1st, 2009, 4:32 pm

Re: Looking for historic patterns

Post by calcyman » July 23rd, 2009, 11:13 am

Here's the first p59 oscillator: (called an emu)

Code: Select all

x = 1066, y = 66, rule = B3/S23
19bo35boo12bo35boo12bo35boo12bo35boo12bo35boo12bo35boo12bo35boo12bo35b
oo12bo35boo12bo35boo12bo35boo12bo35boo12bo35boo12bo35boo12bo35boo12bo
35boo12bo35boo12bo35boo12bo35boo12bo35boo12bo$19b3o5boo27bo12b3o5boo
27bo12b3o5boo27bo12b3o5boo27bo12b3o5boo27bo12b3o5boo27bo12b3o5boo27bo
12b3o5boo27bo12b3o5boo27bo12b3o5boo27bo12b3o5boo27bo12b3o5boo27bo12b3o
5boo27bo12b3o5boo27bo12b3o5boo27bo12b3o5boo27bo12b3o5boo27bo12b3o5boo
27bo12b3o5boo27bo12b3o5boo27bo12b3o5boo$22bo4bo28bobo13bo4bo28bobo13bo
4bo28boboo12bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo
28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28bob
o13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo
4bo28bobo13bo4bo28bobo13bo4bo16bo$4boo15bo3bobo29boo12bo3bobo29boo12bo
3bobo29bo3bo9bo3bobo29boo12bo3bobo29boo12bo3bobo29boo12bo3bobo29boo12b
o3bobo29boo12bo3bobo29boo12bo3bobo29boo12bo3bobo29boo12bo3bobo29boo12b
o3bobo29boo12bo3bobo29boo12bobboobo29boo12bo3bobo29boo12bo3bobo29boo
12bo3bobo29boo12bo3bobo29boo12bo3bobo29boo12bo3bobo16b3o$5bo14bo3bobo
43bo3bobo43bo3bobo35bo7bo3bobo43bo3bobo43bo3bobo43bo3bobo43bo3bobo34b
oo7bo3bobo43bo3bobo43bo3bobo43bo3bobo43bo3bobo43bo3bobo43bo5bo43bo3bob
o43bo3bobo43bo3bobo43bo3bobo43bo3bobo43bo3bobo20bo14bo$5bobo12boo3bo
44boo3bo44boo3bo33bobbo7boo3bo44boo3bo44boo3bo44boo3bo44boo3bo34bo9boo
3bo44boobbo45boo3bo35bo8boo3bo44boo3bo35bo8boo3bo44boo3bo44boo3bo34b3o
7boo3bo44boo3bo44boo3bo44boo3bo44boo3bo20boo12b3o$6boobboo37bo49bo49bo
11bo37bo49bo49bo49bo49bo11boo36bo24bo24bo49bo10bobo36bo49bo9b3o37bo24b
o24bo49bo10bobbo35bo49bo10b3o36bo49bo59bo$10boo35b3o30boo15b3o47b3o47b
3o25bo21b3o47b3o10b3o34b3o47b3o11bo35b3o47b3o47b3o13bo14bo18b3o47b3o9b
3o35b3o47b3o47b3o9bobo35b3o47b3o11boo34b3o47b3o42bo16boo$46bo14bo16b5o
13bo49bo12bobo13bobo18bo28boo7bo11bo21boobboo22bo12bobbo14boobbobo12bo
49bo13bo35bo30bo18bo49bo11boo3bo15bo3bo12bo49bo24boo23bo33boo14bo49bo
11b3obo11bo21bo27bo21bo13bo35bo32b4o13bo43bobbo$19bob3o9boo11boo12b3o
14bo4bo13boo35boo12bo11bo5boo4bobo9boo11boo26bobo5booboo9boo20boobboo
9boo11boo11bobboo12b3obo3bo11boo48boo12bo10bo11boo11boo28bo4boo13boo
26bo8boo7bo3boo9bo3boboo9boo3bo4bo11boo25boo21boo22b4o9boo11boo31bobo
14boo35boo11boo10b3o3boo7b5o5boo11boo26boo7boo11boo20bobobboo8boo11boo
12b3o15boobbo13boo41bo$17boobo3bo8boo25boboo13bobb3o61bobbo14bobo6bo
11boo47bo34boo6bo7boo6boo16boobbo11boo6bo38boo46boobo9boo45boo42boo7b
oo8bo14bo5bo9bo3bobbobbo37bobo9boo33b3obo9boo26bo17bo53boo29boo6bo11bo
38bobo7b3o32bobboo10boo24bobbo14boobbo57bo4bo13boo$18bo4boo16b3o18boo
13boobbo39b3o9bobbo5boo16bo10bobo3bo35bo18bo3bo31bo7bo13b3oboo15b3o12b
ob5o40boo9boo35boboo56boo40b3o13bo4bo15bobobo9bobo3b4o34bo5bo8boo35b3o
bo35b3o16b3o42bo18boo16bobboo7boo57bobbo32bobboobbo16boo19bo14bobbo40b
o16boo17boo$19b4obo19boo33boo37bo4bo12bobb5obo14bo13boobo33boo20b3o32b
oobooboo13boo3boo15boo14b4o36boo3bo10boobo3boo30bo20boo15b3o19b3o33bob
obbo19boo16boo12boo3boo33boobbo14bo36b3o19boo15boboo57b3o13bo3bobbo16b
3o10boo37b3o17boo34boobbobo15boobo13bo4bo15boo39booboo$39booboboo71boo
3bo10boob3o3b3o49boo15b3obboo50boo3bo14bobbobo35bo35booboo12bobobo24bo
31boo14bobbobbo18bo33boboboo12b3obo73bo5bo51boo17boobo13bobo23bobo30b
oobo14boo3bo3bo16b3o12bo35bobobobo71boboboo12bo58b5o19b3o$39bobb4o70b
oo15boo25bobo29boob3o12bo5boo69boobb3o71bobboo14boo25bo30bobbo13bo4bo
19b4o30b3o15bobbobo71booboo73bo15bo4boo4bo15bobo30bo4bo12bo4bo71bo3bob
oo69boobobbo71bobbo$39bo4bo72bobbo12boo4bo18bobo31boobobo13bo4b3o18bo
50boobobo71bo3bo14b3o55boobobbo10bobobb3o19boo12bo35booboboboo50boo17b
4o3bo69bobo14boob5o3bo16bo31b3o14bobbobboo16bo33b3ob3o12boobbobo35boo
34boo19bo55bobbo$40b4o15bobo34b4o18boo15bobbo17bo39boboo11bo3bobboo16b
3o11b3o36bo18boo35bobboo16boobo14b5o15boo40bobbo10boo6b3o14b3o10bobbo
56boo34b4obo15bo4bo32b3o36boobbobo9boobob3o33bobo34bo21b3o31bobbob4o
13bo5bo15bobo13bo38b4o3bo12bo35boo19boo$42boo3bobo9boo34bo39b3o17bo57b
o5bo19bo8boob4o44bo7bobbo33boobb3o17bo15boobbo14bobbo39bobo19b3o13bobo
10bo3bo36b3o16bobbo31boo3boboo16b3o16b3o13boo3bo39boo16bo20bo10bobobo
35bo19boboo38bobo12bobboboo17bo11boo4boo41bo8b3o34booboo$4boo42boo9bo
34bo4bo8boo44boo44bo7boo26bobboo7bobboo4bobo40bo7boo33b3obboo8boo25b3o
15bobbo51boo24bo3bobbo5bo3bo6boo39bo7booboo30booboobbo8boo7bo17bo15boo
bbobo39bo10boo8bo21bo4boo11boo46boobboo30bo15boo5bobooboo12boo3bo10bo
6boo38b3o45booboo8boo32boo7b3o$3bobo16boo24bo22boo22boboo9boo11boo32b
oo14boo35boo11boo10bobbo3bo7b3o7boo11boo25b3o8bo11boo21boobboo8boo11b
oo13bo16booboo13boo35boo11boo12b6o6bo3boo5boo11boo27boo7bo11boo20b6o9b
oo11boo12bobbo13bo5bo12boo48boo12bo4bo6bo10boo11boo28bo5b4o10boo24b3o
8boo11boo10boob3o11bobboobb3o11boo48boo22b3o10boo11boo20bo7bo12boo$3bo
18bobo46bo13bobo8bo24bo34bo14bo49bo11boo18bobo15bo49bo13bo35bo33boo14b
o49bo12boobboo8bobbo19bo27boo20bo25bo23bo13b3o15boobbo13bo49bo13bo35bo
27bobo6b3o10bo21boobboo22bo12bo16boboo16bo49bo13boo34bo19bo9b3o6boobbo
$bboo20bo47b3o9bo37b3o47b3o47b3o11bobo33b3o47b3o9bobo35b3o47b3o47b3o
47b3o47b3o12bo34b3o32bo14b3o47b3o10bo36b3o25boo20b3o47b3o10b3o34b3o47b
3o10b3o34b3o16boo17bobobo$10boo6boo4boo48bo9bobbo36bo49bo49bo10boobo
35bo49bo11boo36bo49bo49bo9bo39bo49bo12bo36bo49bo49bo49bo49bo49bo11bo
37bo49bo10b3o36bo20boo5bo10bo$9boobo5bobbo23boo3bo34bobo7boo3bo44boob
3o44boo3bo35boo7boo3bo44boo3bo44boo3bo44boo3bo44boo3bo34b3o7boo3bo44b
oo3bo35bo8boo3bo44boo3bo44boo3bo35boo7boo3bo44boo3bo44boo3bo44boo3bo
44boo3bo34bo9boo3bo45bo5b3o$9boobo7boo23bo3bobo43bo3bobo43bob3obo43bo
3bobo43bo3bobo43bo3bobo43bo3bobo43bo3bobo43bo3bobo33b3o7bo3bobo43bo3bo
bo43bo3bobo43bo3bobo43bo3bobo34boo7bo3bobo43bo3bobo43bo3bobo43bo3bobo
43bo3bobo34bo8bo3bobo41b3o8b3o4bo$11bo20boo12bo3bobo29boo12bo3bobo29b
oo12bo3bobo29boo12bo3bobo29boo12bo3bobo29boo12bo3bobo29boo12bo3bobo29b
oo12bo3bobo29boo12bo3bobo29boo12bo3bobo29boo12bo3bobo29boo12bo3bobo29b
oo12bo3bobo29boo12bo3bobo29boo12bo3bobo29boo12bo3bobo29boo12bo3bobo29b
oo12bo3bobo29boo12bo3bobo29boo12bo3bobo40bo10boo4bobo$31bobo13bo4bo28b
obo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo
13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo
4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo
28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo58bo$31bo12b3o5boo27bo12b3o5boo
27bo12b3o5boo27bo12b3o5boo27bo12b3o5boo27bo12b3o5boo27bo12b3o5boo27bo
12b3o5boo27bo12b3o5boo27bo12b3o5boo27bo12b3o5boo27bo12b3o5boo27bo12b3o
5boo27bo12b3o5boo27bo12b3o5boo27bo12b3o5boo27bo12b3o5boo27bo12b3o5boo
27bo12b3o5boo27bo12b3o5boo58b3o$30boo12bo35boo12bo35boo12bo35boo12bo
35boo12bo35boo12bo35boo12bo35boo12bo35boo12bo35boo12bo35boo12bo35boo
12bo35boo12bo35boo12bo35boo12bo35boo12bo35boo12bo35boo12bo35boo12bo35b
oo12bo69bo9$bo69bo12boo35bo12boo35bo12boo35bo12boo35bo12boo35bo12boo
35bo12boo35bo12boo35bo12boo35bo12boo35bo12boo35bo12boo35bo12boo35bo12b
oo35bo12boo35bo12boo35bo12boo35bo12boo35bo12boo35bo12boo$b3o58boo5b3o
12bo27boo5b3o12bo27boo5b3o12bo27boo5b3o12bo27boo5b3o12bo27boo5b3o12bo
27boo5b3o12bo27boo5b3o12bo27boo5b3o12bo27boo5b3o12bo27boo5b3o12bo27boo
5b3o12bo27boo5b3o12bo27boo5b3o12bo27boo5b3o12bo27boo5b3o12bo27boo5b3o
12bo27boo5b3o12bo27boo5b3o12bo27boo5b3o12bo$4bo58bo4bo13bobo28bo4bo13b
obo28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo
28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo
4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo
13bobo28bo4bo13bobo28bo4bo13bobo$3bobo4boo10bo40bobo3bo12boo29bobo3bo
12boo29bobo3bo12boo29bobo3bo12boo29bobo3bo12boo29bobo3bo12boo29bobo3bo
12boo29bobo3bo12boo29bobo3bo12boo29bobo3bo12boo29bobo3bo12boo29bobo3bo
12boo29bobo3bo12boo29bobo3bo12boo29bobo3bo12boo29bobo3bo12boo29bobo3bo
12boo29bobo3bo12boo29bobo3bo12boo29bobo3bo12boo20bo$4bo4b3o8b3o41bobo
3bo8bo34bobo3bo43bobo3bo43bobo3bo43bobo3bo43bobo3bo7boo34bobo3bo43bobo
3bo43bobo3bo43bobo3bo43bobo3bo7b3o33bobo3bo43bobo3bo43bobo3bo43bobo3bo
43bobo3bo43bobo3bo43bob3obo43bobo3bo43bobo3bo23boo7boboo$11b3o5bo45bo
3boo9bo34bo3boo44bo3boo44bo3boo44bo3boo44bo3boo7boo35bo3boo44bo3boo44b
o3boo8bo35bo3boo44bo3boo7b3o34bo3boo44bo3boo44bo3boo44bo3boo44bo3boo7b
oo35bo3boo44b3oboo44bo3boo7bobo34bo3boo23bobbo5boboo$bbo10bo5boo20bo
36b3o10bo49bo37bo11bo49bo49bo49bo49bo49bo36bo12bo49bo39bo9bo49bo49bo
36boo11bo49bo35boboo10bo49bo49bo36bobbo9bo48boo4boo6boo$bobobo17boo16b
3o34b3o10b3o47b3o34b3o10b3o47b3o20boo25b3o36bo10b3o47b3o14bo32b3o34bo
12b3o47b3o47b3o47b3o47b3o35bobo9b3o47b3o33bobo11b3o47b3o47b3o37bo9b3o
47bo20boo$bobboo6b3o9bo19bo34boo13bo49bo16boobo16bo12bo22boobboo21bo
10b3o6bobo27bo35bo13bo49bo13bobboo15b3o13bo23bo25bo20boo27bo19bobbo8b
oobboo12bo49bo14boo33bo35bo13bo49bo15bobo18boo11bo49bo14bo34bo24bo8bob
o13bo46bobo18bo$oo12bo7bo20boo11boo10b3o22boo48boo11b3obboobbo11b3oboo
10boo11boo8b3o24boo10b4o5bo28boo11boo10bo6bo4bo12boo48boo12bo5bo13bobb
o12boo11boo9b6o20boo11bo7boo27boo11boo5boo3bo6b6o12boo11boo35boo13boob
oo16bo13boo11boo8boobboo21boo11bo8b3o25boo11boo7b3o7bo3bobbo10boo11boo
35boo14boo32boo11boo9boobo22boo22bo24boo16bobo$12b3o7boo32boo8booboo
45b3o38boo6bo10bo3boo12booboobo5boo15bo30boobboo46boo11boo4bo21bo8boo
10bo39bobobboo15bo17bo7boo8bobbooboo30booboo7bo39boo6bo3bo5bobbo3bo24b
oo51bobbo15b3o25boo8boobb3o33boo7bo40bobo4boobbo7boobbo26boo7bo44boo
44boo8bo4bo34bo9boo42boo$66booboo34b3o8bo41boo4boo11bo17boobobbo12bobo
38boobo19bo35bobobo10bo20bo16boo39bo3boo13b3o16b3o16boobo3boo31bobbo
16b3o36bo3bo10bobo13b3o19bobo39bobbo14bobboo15bo17b3obboo33bobbo7bo44b
4oboo8bo19bo5bo57bo17b3o39bo34boo9bobo3boo$46boo19boo35bo12bo3b4o38bo
13bobo15bo5bo13b4obobbo31b3o21bo34bobo33b3oboboo9bobobboo36b3o32bo4bo
15bob4o34boo56bobbo10b3o14b3o6boo10bobbo40boo15b5o14boboo16boobbo35boo
18bo36b3o11b3o16boobbo3bo11boobo39bo17bobbo15boo18b4o34bobo15b4o$45bo
bbo55bo19boo34boo35bobobboo12b3ob3o33bo16boobbobbo14b3o31bo16bo3b5oboo
14bobo69bo3b4o17boo50booboboboo35bo12boo19b3obbobo10bobboboo55b3o14bo
3bo71boboboo50bo18b3o4bo13boboboo31bobo18bo4boo12bobbo72bo4bo$45bobbo
71bobboboo69boobo3bo71bo4bo12bo4bo30bobo15bo4boo4bo15bo73booboo71bobo
bbo15b3o30b4o19bo4bo13bobbo30bo25boo14boobbo71b3obboo69boo5bo12b3oboo
29bobo25boo15boo70b4obbo$22b3o19b5o58bo12boobobo71bobobobo35bo12b3o16b
o3bo3boo14boboo30bobo23bobo13boboo17boo51bo5bo73bob3o12boobobo33bo18bo
bbobbo14boo31bo24bobobo12booboo35bo35bobobbo14bo3boo50boobb3o15boo49b
3o3b3oboo10bo3boo71booboboo$41booboo39boo15bo4bo13boboo15bobobboo34boo
17b3o37boo10b3o16bobbo3bo13b3o57boobo15boo19b3o36bo14bobboo33boo3boo
12boo16boo19bobbobo33b3o19b3o15boo20bo30boo3boboo10bo3boo36b4o14boo15b
oo3boo13boobooboo32b3o20boo33boboo13bo14bob5obbo12bo4bo37boo33boo19bob
4o$6boo17boo16bo40bobbo14bo19boo16bobboobbo32bobbo57boo7boobbo16boo18b
o42b3o16b3o35bob3o35boo8bo5bo34b4o3bobo9bobobo15bo4bo13b3o40boo56boobo
35boo9boo40b5obo12b3o15boob3o13bo7bo31bo3bo18bo35bo3bobo10bo16boo5bobb
o9b3o39bobboo13boo18b3o16boo4bo$6boo13bo4bo57bobboo14bobbo24boo10boobb
o32b3o7bobo38bo11bo6boo29boo53bo17bo26boo9bob3o33boo9bobo37bobbobbo3bo
9bo5bo14bo8boo7boo42boo45boo9boboo46boo38bo6boo11bobboo16boo6boo7bo6b
oo34bo47boo11bo6bobo14bobbo61b3obbo13boobo25boo8bo3boboo$26bo41boo13bo
bboo15b3o12boo11boo8boobbobo20boo11boo7boo26boo11boo5b5o7boo3b3o10boo
11boo35boo14bobo31boo11boo9b4o22boo21boo25boo11bo4bo3boo9boobo3bo9boo
3bo7boo8bo26boo13boo4bo28boo11boo11bo10bo12boo48boo11bo3bob3o12boobbo
11boo11boo9boobboo20boo9booboo5bobo26boo11boo9bobo4boo5bo11bo12boo35b
oo13bo4bo14b3o12boo11boo9b3obo$22bobbo43bo13b4o32bo35bo13bo21bo27bo21b
o11bob3o11bo49bo14boo33bo23boo24bo49bo12bo3bo15bo3boo11bo49bo18bo30bo
35bo13bo49bo12bobobboo14bobbo12bo22boobboo21bo11bo7boo28bo18bobo13bobo
12bo49bo13b5o16bo14bo$5boo16bo42b3o47b3o34boo11b3o47b3o35bobo9b3o47b3o
47b3o35b3o9b3o47b3o18bo14bo13b3o47b3o47b3o35bo11b3o47b3o34b3o10b3o47b
3o21bo25b3o47b3o47b3o15boo30b3o35boo$6bo59bo49bo36b3o10bo49bo35bobbo
10bo49bo24bo24bo37b3o9bo49bo36bobo10bo49bo24bo24bo36boo11bo49bo49bo49b
o49bo37bo11bo49bo49bo37boobboo$3b3o12boo20bo3boo44bo3boo44bo3boo44bo3b
oo44bo3boo7b3o34bo3boo44bo3boo44bo3boo8bo35bo3boo44bo3boo8bo35bo3boo
45bobboo44bo3boo9bo34bo3boo44bo3boo44bo3boo44bo3boo44bo3boo7bobbo33bo
3boo44bo3boo44bo3boo12bobo$3bo14bo20bobo3bo43bobo3bo43bobo3bo43bobo3bo
43bobo3bo43bobo3bo43bo5bo43bobo3bo43bobo3bo43bobo3bo43bobo3bo43bobo3bo
43bobo3bo7boo34bobo3bo43bobo3bo43bobo3bo43bobo3bo43bobo3bo7bo35bobo3bo
43bobo3bo43bobo3bo14bo$19b3o16bobo3bo12boo29bobo3bo12boo29bobo3bo12boo
29bobo3bo12boo29bobo3bo12boo29bobo3bo12boo29boboobbo12boo29bobo3bo12b
oo29bobo3bo12boo29bobo3bo12boo29bobo3bo12boo29bobo3bo12boo29bobo3bo12b
oo29bobo3bo12boo29bobo3bo12boo29bobo3bo12boo29bobo3bo12boo29bobo3bo9bo
3bo29bobo3bo12boo29bobo3bo12boo29bobo3bo15boo$21bo16bo4bo13bobo28bo4bo
13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo13bob
o28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo
4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo
12boobo28bo4bo13bobo28bo4bo13bobo28bo4bo$37boo5b3o12bo27boo5b3o12bo27b
oo5b3o12bo27boo5b3o12bo27boo5b3o12bo27boo5b3o12bo27boo5b3o12bo27boo5b
3o12bo27boo5b3o12bo27boo5b3o12bo27boo5b3o12bo27boo5b3o12bo27boo5b3o12b
o27boo5b3o12bo27boo5b3o12bo27boo5b3o12bo27boo5b3o12bo27boo5b3o12bo27b
oo5b3o12bo27boo5b3o12bo27boo5b3o$46bo12boo35bo12boo35bo12boo35bo12boo
35bo12boo35bo12boo35bo12boo35bo12boo35bo12boo35bo12boo35bo12boo35bo12b
oo35bo12boo35bo12boo35bo12boo35bo12boo35bo12boo35bo12boo35bo12boo35bo
12boo35bo!
And the first p61 oscillator:

Code: Select all

x = 381, y = 70, rule = B3/S23
28boo25boo21boo$28bo27bo21bo$26bobo27bobo17bobo$4boo19bobo29boo16bobo$
5bo15boo3bo44boo3bo74boo94boo94boo$5bobo13boo48boo56bo9bo11bo18boo53bo
9bo11bo18boo53bo9bo11bo$6boobboo37bo49bo29b3o5b3o9bobo18bo24boo28b3o5b
3o9bobo18bo24boo28b3o5b3o9bobo15bo$10boo35b3o47b3o17boo13bo3bo11bobo
20b3o6boo13bo17boo13bo3bo11bobo20b3o6boo13bo17boo13bo3bo11bobo16b3o$
27b3o3bo12bo49bo20bo13boo3boo6boo3bo23bo6boo11bobo17bo13boo3boo6boo3bo
23bo6boo11bobo17bo13boo3boo6boo3bo20bo14bo$25b5obbobo11boo35boo11boo
20bo25boo47boo19bo25boo47boo19bo25boo23boo12b3o$24boo8bo37bo10boo9b3o
20boo94boo94boo63bo$25boo4b3o38boo10boo7bobo278boo$26bo3boo35boobbobo
11boo3boboobo85boo3boo36bo16bo34b3ob4o35boo13booboo$66bobo15bobobboo3b
o32b3o3bo8bob3o19bo12boob4obo35boo12b6o32bobb3obbo48boo4bo$6boo58bo16b
oo3boobo18bobbo3boo7bo6bo6boobo3bo17bobbo10boo4boo35bob3obboo5booboobb
o17bobo10bo4bo24boo12bo5boo13boo16bobo13boo$6bobobobo53boobo14bobboo
21bo15bo3boobo7bo4boo17boobbo9boo4bo21b4o11bobb4o7boo3boboo16b5o9bobo
bb3o20bobboo9boo4b3o6bo4boboo16bo3bo11boo$9booboo31bobboo18boo15b3o24b
oobo8booboobo11b4obo20bo12bobbo18bo3b3oboo7bobboo13b4obo18b3o12boboo
17boobo5bo11boo12boobboboo16bo3bo$10boboo30boobb3o35bo19b3o3boboobo6b
oobb3o36bo13b3o18b5obo10bo6bo12boo36b3o17bo17bo18bobbo21bo$4boo3b5o29b
3obboo8boo46bobb3obboobo6boboboo71boob5o10boobboobo51bo18bo6boo9b3oboo
bo$3bobo3b5o8boo20boobboo8boo11boo33bo5bobbo8bo77boboobbo4bo6bobobbo
71boo5bo3bo6boobobbo$3bo4boobbo9bobo11bo34bo28bobo4boobbo3b3o7boboo69b
o4b5o3boo8bobbo68bo9bo3b3o7booboo$bboo5b3o12bo12bo34b3o26boo6boo15b3o
67bobo5b3o5bo9bobo69boo3bo3bo3boo9bobo$10bo7boo4boo9bobo36bo26bo63boo
30boo24bo37boo30boo6bo17bo37boo$18bobbo14bo9boo48boo47boo19bo25boo47b
oo19bo25boo3boo42boo19bo$20boo24boo3bo44boo3bo23bo6boo11bobo17bo13boo
3boo6boo3bo23bo6boo11bobo17bo13boo3boo6boo3bo23bo6boo11bobo16bo$11boo
19boo16bobo29boo16bobo20b3o6boo13bo17boo13bo3bo11bobo20b3o6boo13bo17b
oo13bo3bo11bobo20b3o6boo13bo16boo11b3o3boo$11boo18bobo17bobo27bobo17bo
bo18bo24boo28b3o5b3o9bobo18bo24boo28b3o5b3o9bobo18bo24boo19boo8bo4boo$
31bo21bo27bo21bo18boo53bo9bo11bo18boo53bo9bo11bo18boo45bo6b3o$30boo21b
oo25boo21boo94boo94boo61b3o$358bo18bo$376bobo$377bo$378b3o$380bo3$o$3o
$3bo$bbobo$3bo18bo$20b3o61boo94boo94boo21boo25boo21boo$10b3o6bo45boo
18bo11bo9bo53boo18bo11bo9bo53boo18bo21bo27bo21bo$4boo4bo8boo19boo24bo
18bobo9b3o5b3o28boo24bo18bobo9b3o5b3o28boo24bo18bobo17bobo27bobo17bobo
18boo$4boo3b3o11boo16bo13boo6b3o20bobo11bo3bo13boo17bo13boo6b3o20bobo
11bo3bo13boo17bo13boo6b3o20bobo16boo29bobo16boo19boo$24bo16bobo11boo6b
o23bo3boo6boo3boo13bo17bobo11boo6bo23bo3boo6boo3boo13bo17bobo11boo6bo
23bo3boo44bo3boo24boo$22bo19boo42boo3boo25bo19boo47boo25bo19boo47boo
48boo9bo14bobbo$22boo37bo17bo6boo30boo37bo24boo30boo63bo26bo36bobo9boo
4boo7bo$60bobo9boo3bo3bo3boo69bobo9bo5b3o5bobo67b3o15boo6boo26b3o34bo
12bo12b3o5boo$59booboo7b3o3bo9bo68bobbo8boo3b5o4bo69boobo7b3o3bobboo4b
obo28bo34bo11bobo9bobboo4bo$59bobboboo6bo3bo5boo71bobbobo6bo4bobboobo
77bo8bobbo5bo33boo11boo8boobboo20boo8b5o3bobo$58boboob3o9boo6bo18bo51b
oboobboo10b5oboo71boobobo6boboobb3obbo46boo8boobb3o29b5o3boo$21bo21bo
bbo18bo17bo17b3o36boo12bo6bo10bob5o18b3o13bo36b3obboo6boboobo3b3o19bo
35b3obboo30boobo$19bo3bo16boobobboo12boo11bo5boboo17boobo12b3o18bob4o
13boobbo7boob3o3bo18bobbo12bo20bob4o11bobooboo8boboo24b3o15boo18boobbo
31booboo$6boo11bo3bo16boobo4bo6b3o4boo9boobbo20b3obbobo9b5o16boobo3boo
7b4obbo11b4o21bo4boo9bobboo17boo4bo7boboo3bo15bo21boobbo14boboo53bobob
obo$6boo13bobo16boo13boo5bo12boo24bo4bo10bobo17bobbooboo5boobb3obo35b
oo4boo10bobbo17bo3boboo6bo6bo7boo3bobbo18boboo3boo16bo58boo$42bo4boo
48bobb3obbo32b6o12boo35bob4oboo12bo19b3obo8bo3b3o32bo3boobbobo15bobo$
42booboo13boo35b4ob3o34bo16bo36boo3boo85boboobo3boo11bobobboo35boo3bo$
5boo278bobo7boo10boo38b3o4boo$6bo63boo94boo94boo20b3o9boo10bo37bo8boo$
3b3o12boo23boo25bo19boo47boo25bo19boo47boo25bo20boo11boo35boo11bobobb
5o$3bo14bo20bo3boo6boo3boo13bo17bobo11boo6bo23bo3boo6boo3boo13bo17bobo
11boo6bo23bo3boo6boo3boo13bo20bo49bo12bo3b3o$19b3o16bobo11bo3bo13boo
17bo13boo6b3o20bobo11bo3bo13boo17bo13boo6b3o20bobo11bo3bo13boo17b3o47b
3o35boo$21bo15bobo9b3o5b3o28boo24bo18bobo9b3o5b3o28boo24bo18bobo9b3o5b
3o29bo49bo37boobboo$37bo11bo9bo53boo18bo11bo9bo53boo18bo11bo9bo56boo
48boo13bobo$36boo94boo94boo74bo3boo44bo3boo15bo$303bobo16boo29bobo19b
oo$302bobo17bobo27bobo$302bo21bo27bo$301boo21boo25boo!

The following osccilator is entitled 'smaller newshuttle':

Code: Select all

...................**..............
..................*.*..............
.......**.......***.......**.......
**.....**......*...*......**.....**
.*.............**.**.............*.
.*.*...........................*.*.
..**...........................**..
...................................
......***...***.....***...***......
.......*.....*.......*.....*.......
...................................
...................................
...................................
..**...........................**..
.*.*...........................*.*.
.*.............**.**.............*.
**.....**......*...*......**.....**
.......**.......***.......**.......
..............*.*..................
..............**...................


The 13-engine Cordership is not in any of my collections. I suggest requesting this from Dean Hickerson personally.



The p33 oscillator that you provided is not original; this already exists in my collections. The smallest p33 is below:

Code: Select all

.........**...............
...**...*.*......**.**....
....*...*........**.*.*...
....*.**.****.......*.*...
..**.*.*.*..*....**.*.**..
...*.*.........***........
...*..........*....**.****
**.*.**......*.******....*
**.*.....**.*.*....**..**.
...*.....**.*..*..........
...*.*.......*.*..***.*...
....**...*****..*...*.*..*
.........*...*......*.****
..........***.*.*....*....
.............*..*......*..
............*....*....**..
.............****.........
..........................
...............**.........
...............**.........
And a beautiful skew-symmetric constructible p33 also exists:

Code: Select all

x = 75, y = 75, rule = B3/S23
29bobo$28boo11bobo$27b3o13boo$29bo13b3o$43bo$29bo$29bo13bo$28bobo12bo$
29boo11bobo$29bo12boo$43bo$$26bo$25boo19bo$25bobo18boo$26bo18bobo$26bo
19bo$46bo$26bo$26b3o17bo$25b3o16b3o$45boo$46bobo3$54bo5boo$22bo31b3ob
ooboo$14boo38boo4bo11bo$13booboob4o32bo11bo4boo$3bo11bo4boo43booboob4o
$bboo4bo11bo45boo$b4obooboo63bo$8boo$bo8$73bo$65boo$o63booboob4o$7boo
45bo11bo4boo$4obooboo43boo4bo11bo$boo4bo11bo32b4obooboo$bbo11bo4boo38b
oo$12booboob3o31bo$13boo5bo3$26bobo$28boo$28b3o16b3o$28bo17b3o$48bo$
28bo$28bo19bo$27bobo18bo$27boo18bobo$28bo19boo$48bo$$31bo$31boo12bo$
30bobo11boo$31bo12bobo$31bo13bo$45bo$31bo$29b3o13bo$30boo13b3o$31bobo
11boo$43bobo!

A smaller variant of this can reflect gliders.
What do you do with ill crystallographers? Take them to the mono-clinic!

Sokwe
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Posts: 2859
Joined: July 9th, 2009, 2:44 pm

Re: Looking for historic patterns

Post by Sokwe » July 23rd, 2009, 1:29 pm

I am aware of several period 33 oscillators; I was merely asking if that was the one discovered by Achim Flammenkamp and Noam Elkies in June 1997, which Nathaniel answered.
I just found a reference by Noam Elkies to the first p33 oscillator
where? (on that note, what other obscure life resources do you know about?)
-Matthias Merzenich

User avatar
Nathaniel
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Posts: 871
Joined: December 10th, 2008, 3:48 pm
Location: New Brunswick, Canada
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Re: Looking for historic patterns

Post by Nathaniel » July 23rd, 2009, 1:32 pm

Sokwe wrote:
I just found a reference by Noam Elkies to the first p33 oscillator
where? (on that note, what other obscure life resources do you know about?)
I'll send you a PM regarding this.

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