ConwayLife.com

Posted: **June 7th, 2019, 5:55 am**

The rulespace pB2eikn-ac3aceiry-jknq4-aceinqrtw5-eijy6-ci7-e/S0c2cein-ak3aejq-iknry4-aijnrtw5-aeiqry6-in7-e8 is quite interesting.

It is constructed around a c/13 and a c/19:

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x = 4, y = 4, rule = B2-ac3-jknq/S02-ak3acejq
ob2o$2b2o$2b2o$ob2o!

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x = 3, y = 4, rule = B2-ac3-jknq/S02-ak3acejq
3o$obo$3o$bo!

(I discovered B2-ac3-jknq/S02-ak3acejq with LLS for its c/13 and was stunned for it to have a c/19.)

Many patterns in this rulespace have a tendency towards diagonal symmetry, and small diagonally symmetric patterns grow for quite a while (but not explode), and only along that axis:

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x = 6, y = 6, rule = B2-ac3-jknq4jyz5kn6aen/S02-ak3aejq4ceqyz5cj6-in8
3bo$bobo$5bo$2o2bo$3bobo$2bobo!

Code: Select all

x = 4, y = 4, rule = B2-ac3-jknq4jy5ackn6-ci/S02-ak3acejq4ceyz5ckn6a7c8
bo$o2bo$2bo$bo!

ZZ_REPLICATOR:

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x = 10, y = 10, rule = B2-ac3-jknq4jy5ackn6-ci/S02-ak3acejq4ceyz5ckn6a7c8
7bo$8bo$6bo2bo$7bo6$o!

PATHOLOGICAL:

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x = 10, y = 10, rule = B2-ac3-jknq4jy5ackn6-ci/S02-ak3acejq4ceyz5ckn6a7c8
7bo$8bo$6bo2bo$7bo6$o!

Rule B2-ac3-jknq4jyz5kn6aen/S02-ak3aejq4ceqyz5cj6-in8:
rare c/4

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x = 6, y = 5, rule = B2-ac3-jknq4jyz5kn6aen/S02-ak3aejq4ceqyz5cj6-in8
b2o2bo$3o$3o$3o$b2o2bo!

Rule B2-ac3-jknq4jy5ackn6-ci/S02-ak3acejq4ceyz5ckn6a7c8:
Statorless diagonal osc collection

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x = 79, y = 8, rule = B2-ac3-jknq4jy5ackn6-ci/S02-ak3acejq4ceyz5ckn6a7c8
19bobo14bo18bo$17b2o18bobo15b2o$17b3obo35bo16b5o$obo16b2o15b2obo16bobo
19bo$19b2o16bo2bo17b2o14b2o2bo$obo51bo20b2obo$14b2o18bo41bobo$15bo!

p16 rotating oscillator

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x = 6, y = 5, rule = B2-ac3-jknq4jy5ackn6-ci/S02-ak3acejq4ceyz5ckn6a7c8
3obo$b5o$2b3o$3b2o$4bo!

Rule B2-ac3-jknq4ky5knr6aek/S02-ak3aejq4kqy5cjn6ack7c8
c/19 true tagalong

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x = 3, y = 9, rule = B2-ac3-jknq4ky5knr6aek/S02-ak3aejq4kqy5cjn6ack7c8
bo$obo$bo2$bo$bo2$2o$2o!

Posted: **June 7th, 2019, 10:56 am**

End product of that PATHOLOGICAL (which is the same as the ZZ, by the way), minus a few ships

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x = 1118, y = 1118, rule = B2-ac3-jknq4jy5ackn6-ci/S02-ak3acejq4ceyz5ckn6a7c8
1117bo2$1110bo$1110bo$1110bo2$1100bo$1113b3o8$1101bo$1102bo$1111bo4$
1095bo$1094b3o$1095bo9$1085bo$1084bo3$1079bobo$1080bo$1079bobo7$1072bo
$1065bo2bo2bo3$1067bo3bo$1062bo3b3o$1067bo$1071bo2$1050bo$1059bo2bo4bo
3$1058bo3bo$1057b3o$1058bo4$1053bo3$1063bo3$1045bobo$1046bo$1045bobo5$
1039bo$1040bo4$1023bo$1024bo3bo3bobo$1033bo$1032bobo4$1034bo3$1004b3o
17bo$1025bo8bo$1035bo4$1019bo2$998bo4$1000bo11bo$999bo13bo5$1005bobo$
1006bo18bo$1002bo2bobo17bo$1025bo2$996bo5bo2bo2$987bo25bo$986bo25bo$
1017bo$996bo$995b3o4bo$996bo$972bo17bo$989bo3$994bo$993bo2$1000bo$999b
o$984bo$985bo5$977bobo$978bo$977bobo4$969bo$957bo14bo21bo$958bo2$973bo
3$956bo$964bo$963b3o$964bo5$937bo33bo$936bo20bo14bo$956bo9bo7$949bo3$
945bo$946bo4$917bo3$938bo$932bo4bo20bo$957bo2$933bo$928bo5bo$937bo2$
906bo$929bo$928bo4bo4$910bo3$920bo$921bo3$917bo23bo7$924bo4$930bo$896b
o3$897bo4bo$896bo4$902bo$872bo28bo3bo3$886bo2$866bo3$887bo$886b3o$887b
o5bo3$862b2o$863b2o$880bo$879b3o$880bo7$896bo2$869bo$870bo$843bo2$891b
o2$863b2o17bo$864bo17b2o$862bo20bo4$843bo3$855bo2$836bo2$825bo24bo$
851bo$842bo$842bo5bo$842bo4bo3$826bo$839bo18bo9bo$847b3o3$817bo20bo4bo
$816bo20b3o$838bo$853bo5$830bo$831bo$805bo$805bo$805bo$826bo17bo$851bo
5$805b3o$795bo$794b3o$795bo43bo$838bo2$814bo3$811bo$796bo12bo$781bo16b
o10b2o$793bo3b2o$820bo$820bo$820bo6b3o4$791bo8bo$799b3o$799b2o$793bo4b
o9b2o$791bo5bo10bo$791b2o17bo7bo$817b3o$818bo$768bo24bo4bo9bo$769bo19b
o2bo3bo$796b2o3bo2$789bo2bo8$809bo$771bo8bo$775bo$774bo3$758bo20bo$
774bo3bo3$780bo2$792bo$793bo3$759bo4bo$760bo2b3o$764bo3$759b2o3bo$759b
2o4bo$775bo3$755bo$744bo3$750bo$751bo5$745bo$754bo4$716b3o2$722bo15bo
9$695bo2$727bo$726bo2$694bo7bo2$738bo3$717bobo$718bo21bo$717bobo20bo$
740bo3$707bo$706b3o$707bo3$712bo$711b3o$712bo2$700bo$701bobo$724bo$
701bobo$686bo17bo4$693bo$729bo$724bo$696bo4$688bo$680bo8bo2$700bo$657b
o26bo$683b3o$684bo3$674bo4bo8bo$678b3o$666bo12bo$665bo3$680bo5$650bo$
667bo$668bo$678bo$658bobo16bo$659bo$658bobo3$643bo10b2o7bobo$655b2o7bo
$663bobo$685bo$656bo2bo$659b2o$630bo12bo16bo4$650bo18bo3$619bo3$619bo$
654bo5bo3$640bo2$612bo$613bo15bo7bo$635bo$635b2o4$631bo$623bo30bo$637b
o2$627bo4$622bo7bo$621b3o$622bo2$644bo2bo$615bo3$615bo2bo2$637bo$638bo
2$600bo2$604bo$605b3o$605b3o$605b3o$608bo4$576bo33bo2$597bo$591b2o5bo$
592b2o3$596bo$596b2o$597bo3$573bo$582bo4bo$583bo2bo3$575bo7bo2bo$574b
3o4bo5bo$575bo5b2o2$561bo3$582bo17bo$574bo6b3o$575bo6bo$588bo6$557bo9b
o$555bo10bo$555b2o4$579bo$538bo$559bo$557bo$557b2o8bo$565bo$565b2o3$
552bo$548bo3$551bo6$541bo$521bo18b3o$540b2o$538bo$537b3o20bo$538bo8$
527bobo$528bo$527bobo2$496bo$497bo26bo$523bo$521b2o$520b3o18bo$521bo5$
513bobo$514bo$513bobo6$486bo19bo$505b3o$505b2o$502bobo$503bo$502bobo2$
485bo2$475bo$475bo48bo$475bo19bo29bo$494b3o$494b2o$491bo$486bo5bo$491b
obo4$487bo$468bo17bo5bo14bo$468b2o30bo$469bo13bo$484bo$478bo$467bo9bo
3$478bo3bo$481bo2$473bobo20b3o$474bo$464bo8bobo3$446bo16bo$484b2o$485b
2o$481bo3$473bo$461bobo6bo$445bo16bo$442bo18bobo$441bo2$449bo3$453bobo
$454bo$453bobo4$458bo3$445bo24bo$422bo23bo15bo3$441bo19bo$436bo5bo17bo
5$436bo4bo4$431bo$430b3o$431bo2$407bo$427bo5$417bo27bo5$422bo7$409bo$
408b3o$409bo$402bo25bo5$407bo$379bo$396bo3bo3$397bo$396bo3bo5$387bo3bo
$374bo3$381bo9bo$380b3o$381bo3$386bo$385b3o$386bo$401bo$378bo4$390bo3$
359bo2$348bo5$364bo5$371bo$357bo$357b2o$354bo$355bo$351bo2bobo3$351bo
2bo3$369bo3$345bo2$318bo$334b3o$314bo2$338bo$339bo2$342bo$334bo7bo$
333b3o6bo$333b2o$332bo$331bo5$324bobo$325bo$324bobo3$320bo$321bo2$343b
o$302bo14bo3$341bo4$304bo4$304bobo$305bo$304bobo3bo2$317bo$299bobo$
300bo$299bobo5$270bo11bo10bo$292b3o$293bo$272bo2$288bo$265bo21b3o$288b
o4$283bo$282bo11bo6$256bo19bo4$291bo$266bo$244bo25bo23bo$245bo2$266bo$
267bo3bo$288bo6$259bo$258bo$245bo$246bo8bo20bo$254b3o$255bo$246bo$252b
o$251bo2$243b2o$244b2o2$253bo2bo$248bo8bo11bo$248b2o20bo$249bo$241bo$
242bo3$238bo3$215bo2$232bo$231b3o$232bo4$226bo$227bo3$205bo$205bo$205b
o4$217bo2$235bo7$204bo$207bo2$221b3o$204bo3bo3$201bo$199bo$199b2o3$
194bobo$172bo22bo$194bobo2$191bo$192bo4$157bo$156bo28bo$186bo5$166bo
11bobo$167bo11bo$157bo20bobo2$160bo4$172bo22bo4$148bo14bo$164bo14bo$
180bo2$167bo$162bo5bo$163bo2$176bo$144bo$143bo$178bo8bo$156bo29bo$155b
o7$168bo$143bo3$159bo$147bo10bo3$122bo3$137bo$121bo7$129bo7$140bo$114b
o21bo$105bo8bo$114bo5$119b3o5$108bo$109bo3$120bo3$101bo$96bo3b3o$97bo
3bo3$97bo2bo$96bo4bo3$93bo$92bo2$81bo3$87bo$86bo3$71bo3bo2$90bo$69bo3b
o$57bo10bo9bo$77b3o$78bo2$64bo18bo2$80bo2$67b2o14bo$67bob2o$68b3o9bo$
68b2obo7bo$70b2o3$53bo21bo$58bo$62bo2$57bo2$63bo$60bo18bo$55bo$54b3o$
41bo13bo$41bo22bo$41bo5$35bo10bo$36bo8b3o$24bo21bo3$36bo4b2o$37bo3b2o
9b3o4$41bo$42bo3bo$47bo$33bo$33b2o$12bo2bo14bo$11b2o18bo$11bo18bobo2$
27bo$26b3o$27bo2$45bo6$17bo$16b3o$17bo$9bobo20bo$10bo$9bo$12bo18b2o$
15bo14b2o$14bo$13bobo3$o5$o$bo4bo!

Produces 2 distinct, separate islands

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x = 7, y = 7, rule = B2-ac3-jknq4jy5ackn6-ci/S02-ak3acejq4ceyz5ckn6a7c8
6bo4$o2$obo!

Reduction of pathological methuselah to 4 cells

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x = 9, y = 9, rule = B2-ac3-jknq4jy5ackn6-ci/S02-ak3acejq4ceyz5ckn6a7c8
8bo6$o2$obo!

Slightly different rule, 40736M, 3 cells

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x = 3, y = 3, rule = B2-ac3-jknq4jy5ackn6-i/S02-ak3acejq4ceyz5ckn6a7c8
o2$obo!

Hah! Another small, symmetrical p34 found in the same week!

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x = 7, y = 7, rule = B2-ac3-jknq4jy5ackn6-i/S02-ak3acejq4ceyz5ckn6a7c8
5bo$4b3o$5bo$3bo2$o$2o!

9 cells

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