The thread was originally dedicated to B34t/S23-a4i and related rules supporting the same natural knightship. At some point I had named the original rule RidireLife ("ridire" means a knight in Irish Gaelic).
Recently I've been researching another rule in this rulespace, B34jqtz5e/S23-a4eity, notable for many guns and constructions (see posts below) that seem to imply Turing-completeness. Unless I find some really remarkable rule in this rulespace, I'm not going to spawn separate threads for all of them. For the time being, KnightlyLife is my temporary name for this entire rulespace. If I fix my attention on some specific rule within it, KnightlyLife will be its name.
The rule (B34t/S23-a4i) (RidireLife) is notable for common 2,1c/12 knightships and tadpole-like 10c/20. Most commons natural ships:
Code: Select all
x = 67, y = 122, rule = B34t/S23-a4i
10$34bo$33b2o$32bobo$32b2o20$34b3o$36bo$35bo13$35bo$36b3o$38bo$36bobo$
36b2o13$35bo$35b3o$37b2o$35b3o$35bo15$16b2o17b2o$15b2o10bo6b2ob2o$16b
2o8b2o7bo2bo$25b2o8bo2bo$26b2ob2o5b2o$30bo$30bo15$29bo$22bo5b4o$22bo4b
o$22bo3b2obo5b3o$27b2o8bo$35bobo$35b2o!Code: Select all
x = 664, y = 163, rule = B34t/S23-a4i
32$314b3o$313bo2bob2o7b2o17b2o$313bo4b2o6b2o10bo6b2ob2o$313b2obo2bo7b
2o8b2o7bo2bo$291bo23b3o18b2o8bo2bo$291bo4bo19b2o19b2ob2o5b2o$290bobo3b
2o43bo$289bobo3bobo33bo9bo$289b3o4bob2o30bobo$290bo4b2o2b2o32bo$295b2o
2bo30bo$23b2o271b3o32bo$23bobo271bo$22bo2bo$21bo3bo$21b4o306b3o$22bo
289bo18b3o$312bo19bo$312bo2$353bo$352b3o$351b2obo2$55b2o$55b3o$56bo
275b2ob2o13b2o2b2o$331b2o3b2o16b3o$356bo$53bob3o295bo2bo$53bob3o295b3o
$55bo6$353bo$90bo259bo2bo42b2o$89b2o259bo2bo34bo6b2ob2o$88bobo260b3o
19bo13b2o7bo2bo$88b2o282b3o11b2o8bo2bo$371b2obo12b2ob2o5b2o$391bo$391b
o132b2o17bo$131bo51b2o26bo11b2o26bo11b2o26bo11b2o26bo11b2o178bobo16b4o
$127bo3bo35bo17bo6bo14bo3bo13bo6bo14bo3bo13bo6bo14bo3bo13bo6bo14bo3bo
13bo21bo39b4o16b3o17b4o16b3o17b4o18bo13bob2o14bo$126b2o38b2o2b3o12bo5b
2o13b2o17bo5b2o13b2o17bo5b2o13b2o17bo5b2o13b2o17bo20b2o38b2o2bo6b2o10b
o16b2o2bo6b2o10bo16b2o2bo6b2o8bo2bo14b2o13b2obo5b3o$125b2o7b2o29b2o4bo
10b4o5bo13b2o7b2o6b4o5bo13b2o7b2o6b4o5bo13b2o7b2o6b4o5bo13b2o7b2o6b4o
19b2o38b2o2bo7bobo7b3o15b2o2bo7bobo7b3o15b2o2bo7bobo24b2o15b2o8bo$126b
2o3b2o2bo30b2o38b2o3b2o2bo30b2o3b2o2bo30b2o3b2o2bo30b2o3b2o2bo30b2o38b
o2bo6bo2bo26bo2bo6bo2bo26bo2bo6bo2bo7b2o40bobo$117bo13b2o2bo55bo19b2o
2bo15bo19b2o2bo15bo19b2o2bo15bo19b2o2bo71b2o5b2ob3o27b2o5b2ob3o27b2o5b
2ob3o22b2ob2o6bo15b2o$117bo14b3o56b2o19b3o16b2o19b3o16b2o19b3o16b2o19b
3o78b2o38b2o38b2o26b2o2b2o6bo10b2o$117bo74bo39bo39bo39bo209b4o7bo11b2o
$138b2o17b2o364bo20bo10bo$137b2o10bo6b2ob2o384bo9bo32bo$138b2o8b2o7bo
2bo25b2o17b2o338bo9bo9bo21b4o$147b2o8bo2bo24b2o10bo6b2ob2o355b3o19bo$
148b2ob2o5b2o26b2o8b2o7bo2bo354b2ob2o9b2o6b2obo5b3o$152bo42b2o8bo2bo
354bo2bo9b4o6b2o8bo$152bo43b2ob2o5b2o354b2ob2o9bo2bo14bobo$200bo362b3o
10b3o15b2o$200bo303bo9bo9bo9bo9bo9bo9bo12b2o$493b2o9bo9bo9bo9bo9bo9bo$
493bo10bo9bo9bo9bo9bo9bo$587b3o7b3o7b3o2$492b2o16b4o118bo$491bo10b2o6b
o2b2o100bo15b4o$491b3o7bobo7bo2b2o98b2o14bo$501bo2bo6bo2bo99b2o5b2o6b
2obo5b3o$501b3ob2o5b2o98bob2o4b3o7b2o8bo$506b2o104bobo4b2obo15bobo$
612b3o5bo17b2o$621bo!Code: Select all
x = 1491, y = 495, rule = B34t/S23-a4i
111$1006b2o$1001b3ob2o5b2o$1001bo2bo6bo2bo$1001bobo7bo2b2o$1002b2o6bo
2b2o$1010b4o10$543bo$538b2o$537bo11b3o$528b2o7bo9bo3b2o$527bobo7b2o3bo
3bo2bo2b2o$527bo11b3o3bo6bo$527bobo15bo3b3o446bobo$528b2o11bo7bo448bob
o46b2o$541bo2b4o450b3o33b3o5b3ob2o5b2o$540b2o4bo486bo3bo4bo2bo6bo2bo$
540bo3b2o487bo3bo4bobo7bo2b2o$540bo3bo486b2obob2o5b2o6bo2b2o$543bo486b
4obo15b4o$540bo2bo485b2ob2o$540bo2bo403bo56bo23b2o2bo$541b3o383b3o16b
2o56b3o20b6o$569b2o17bo337b2o2bo15bo56bo3bo19bo3bo$568bobo17bo2b2o328b
2o3b2o2bo70b2o4bo20b3o$568bo18b2o4bo326b2o7b2o6b4o5bo53b2o2bob2o21bo$
568bobo14bo2bobo2b2o326b2o17bo5b2o53b2o2bo$569b2o14bo2bo3b2o328bo3bo
13bo6bo$584bo5b3o315bo17bo11b2o28bo$543bo364bo59bo$543bo2bo361bo59bo$
543bo2bo$543b3o98b3o57b3o57b3o57b3o57b3o27b3o27b3o27b3o27b3o21b3o3b3o
4$956b2o3b2o$957b2ob2o$540b2ob2o$539b2o3b2o4$956b3o$374b3o21b3o3b3o27b
3o21b3o3b3o27b3o21b3o3b3o27b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b
3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o
21b3o3b3o8bo2bo9b3o3b3o21b3o3b3o21b3o3b3o$955bo2bo$958bo$1059b3ob3o$
352b2o705bobobobo$352bobo704bobobobo$343b3o6bob2o703bo5bo$343bo9b2o$
343b2obo6bo704bo2bobo2bo$345b3o610b3o97b3o3b3o$345b2o611bo2bo$961bo$
374b3o21b3o3b3o27b3o21b3o3b3o27b3o21b3o3b3o27b3o21b3o3b3o21b3o3b3o21b
3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o
21b3o3b3o21b3o3b3o21b3o3b3o12b3o6b3o3b3o21b3o3b3o21b3o3b3o$955b2o2b2o
3$1059bo5bo$956b2obo98bo2bobo2bo$957b3o99b2o3b2o$958bo5$314b3o57b3o21b
3o3b3o27b3o21b3o3b3o27b3o21b3o3b3o27b3o21b3o3b3o21b3o3b3o21b3o3b3o21b
3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o
21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o3$382b2o$233bo
147bobo10bo6b2o2bo197bo$233bo61b2o17b2o64b2o10b4o4b2o2bob2o194b3o$229b
2ob2o5b2o47bo2bo3bo2bo15bobo64bobo7b5o5b2o4bo194bob2o$142b2o17b2o65b2o
8bo2bo53bo3bo5b3o6bob2o64b2o6b2o11bo3bo$141b2o10bo6b2ob2o54b2o8b2o7bo
2bo54bo8bo9b2o74bo12b3o$142b2o8b2o7bo2bo53b2o10bo6b2ob2o63b2obo6bo76bo
11bo684b3ob3o$151b2o8bo2bo54b2o17b2o48bo2bo15b3o291b2o2b2o482bobobobo$
152b2ob2o5b2o143b2o89b3o199b3o485bo2bobo2bo$156bo242bo4b3o27b3o21b3o3b
3o27b3o21b3o3b3o27b3o21b3o3b3o13bo7b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o
21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b
3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b2obobob2o$156bo242bo200bo2bo
485bobobobo$239bo59bo59bo59bo59bo59bo61b3o486b2ob2o$187bo51bo7bo51bo7b
o51bo7bo51bo7bo51bo7bo51bo7bo540b2obobob2o$187bo51bo7bo51bo7bo51bo7bo
51bo7bo51bo7bo51bo7bo540b3o3b3o$187bo59bo59bo59bo59bo59bo59bo541bo5bo
4$603bo$603bo2bo$603bo2bo2bo$218b3o33b3o21b3o3b3o27b3o21b3o3b3o27b3o
21b3o3b3o27b3o21b3o3b3o27b3o21b3o3b3o27b3o21b3o3b3o16b3o3bo4b3o21b3o3b
3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o
3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o$
305b3o57b3o57b3o57b3o57b3o61bo3$896b2o3b2o$198b3o16b4o14b2o17b2o641b2o
b2o$198bo10b2o6bo2b2o6bo2bo3bo2bo15bobo29b2o17b2o293b2ob2o$198b3o7bobo
7bo2b2o12bo3bo5b3o6bob2o21bo2bo3bo2bo15bobo291b2o3b2o$208bo2bo6bo2bo
14bo8bo9b2o29bo3bo5b3o6bob2o$208b3ob2o5b2o24b2obo6bo31bo8bo9b2o$213b2o
13bo2bo15b3o46b2obo6bo$247b2o30bo2bo15b3o595b3o$298b2o74b3o21b3o3b3o
27b3o21b3o3b3o27b3o21b3o3b3o27b3o21b3o3b3o27b3o21b3o3b3o21b3o3b3o21b3o
3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o8bo2bo9b3o3b
3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o$895bo2bo$898b
o$1119b3ob3o$352b2o765bobobobo$352bobo764bobobobo$343b3o6bob2o763bo5bo
$343bo9b2o$343b2obo6bo764bo2bobo2bo$345b3o550b3o217b3o3b3o$345b2o551bo
2bo$901bo$374b3o21b3o3b3o27b3o21b3o3b3o27b3o21b3o3b3o27b3o21b3o3b3o27b
3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o
3b3o21b3o3b3o12b3o6b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b
3o21b3o3b3o$895b2o2b2o3$1119bo5bo$896b2obo218bo2bobo2bo$897b3o219b2o3b
2o$898bo5$314b3o27b3o27b3o27b3o27b3o27b3o27b3o27b3o27b3o27b3o27b3o27b
3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o
3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b3o3b3o21b
3o3b3o4$519b3o57b3o57b3o21bo$295b2o17b2o255b3o57b3o28b3o$288bo2bo3bo2b
o15bobo161bo183bob2o$295bo3bo5b3o6bob2o155b2o40bo$296bo8bo9b2o155bo11b
3o28bo66bo59bo$305b2obo6bo147b2o7bo9bo3b2o27bo7b3o56bo59bo24b2o480b3ob
3o$288bo2bo15b3o152bobo7b2o3bo4bobo2b2o13b2o17bo3b2o55bo59bo23b3o480bo
bobobo$307b2o153bo11b3o4b2o4bo13bobo17bobo2b2o135b2ob2ob2o477bo2bobo2b
o$462bobo17bo2b2o14bo18b2o4bo8b2o17bo108b5o2bo3b3o21b2o4b3o21b2o4b3o
21b2o4b3o21b2o4b3o21b2o4b3o21b2o4b3o21b2o4b3o21b2o4b3o21b2o4b3o21b2o4b
3o21b2o4b3o21b2o4b3o21b3o3b3o21b3o3b3o21b3o3b3o21b2obobob2o$463b2o17bo
18bobo17bo2b2o8bobo17bo2b2o105b7o28bo27bobo29bo27bobo29bo29bo29bo29bo
29bo29bo29bo29bo119bobobobo$502b2o17bo12bo11b3o4b2o4bo102b2ob2o29b3o
29bo27b3o29bo27b3o27b3o27b3o27b3o27b3o27b3o27b3o27b3o121b2ob2o$534bobo
7b2o3bo4bobo2b2o101bo4bo28bo59bo59bo23bo5bo29bo29bo29bo29bo29bo29bo
121b2obobob2o$535b2o7bo9bo3b2o105b3o171b4o305b3o3b3o$544bo11b3o111b3o
17bo458bo5bo$545b2o125bo16b3obo2bo141bobo3bo$550bo117bo19b2o2bo4bo$
624bo47bo6b2o8bo7bo139bo4bo$619b2o49b3o5b2ob2o13b2o112b2o25b5o$618bo
11b3o46b4o8bo3bo91b2o2b3o4b2o10bob2o25bo7b2o2b3o53b4o16b3o37b4o16b3o
37b4o56b4o16b3o37b4o$609b2o7bo9bo3b2o46bo11b2o92b3obo2bo8bo9b2o32b3obo
2bo52b2o2bo6b2o10bo36b2o2bo6b2o10bo36b2o2bo6b2o47b2o2bo6b2o10bo36b2o2b
o$608bobo7b2o3bo4bobo2b2o150b2o3b4o9bo6bob2o31b2o3b4o51b2o2bo7bobo7b3o
35b2o2bo7bobo7b3o35b2o2bo7bobo4b2o39b2o2bo7bobo7b3o35b2o2bo$608bo11b3o
4b2o4bo152bob4o7b2o2bo6b2o34bob4o54bo2bo6bo2bo46bo2bo6bo2bo46bo2bo6bo
2bo3bobo40bo2bo6bo2bo46bo2bo$608bobo17bo2b2o154b4o10b3o43b4o56b2o5b2ob
3o47b2o5b2ob3o47b2o5b2ob3o3b2o42b2o5b2ob3o47b2o$609b2o17bo160bo59bo63b
2o58b2o58b2o58b2o2$764b3o17bo$766bo16b3obo2bo75b2o17b2o$762bo19b2o2bo
4bo67bo2bo3bo2bo15bobo187b2o$766bo6b2o8bo7bo74bo3bo5b3o6bob2o176b2o3b
3ob2o5b2o$764b3o5b2ob2o13b2o75bo8bo9b2o176bobo3bo2bo6bo2bo$773b4o8bo3b
o86b2obo6bo177b2o4bobo7bo2b2o$774bo11b2o71bo2bo15b3o190b2o6bo2b2o$878b
2o199b4o3$1179b3ob3o$1179bobobo2bo$1177b2o2bobob2o$1177bo3bo$1177bo3b
2o$1178bo3bo$1180b3o3bo$1022bo158bo3b3o$1020b2o161b2obo$1021b2o160bob
2o$1139bo42bobo$1125b3o10b4o$1117b2o6bo2b2o7b4obo$1115b2obo6bo9b4o3b2o
$1010b2o103b2o9bo8bo2bob3o$1005b3ob2o5b2o97b2obo10b2o4b3o2b2o35b2o$
1005bo2bo6bo2bo98b2o57bo2bo$995b3o7bobo7bo2b2o$995bo10b2o6bo2b2o130bo$
995b3o16b4o130bobo21b3o2b2o$1149bo7bo14b3o3bo8bo$1146b3o8bo11b6o2b2o8b
o$1109bo29bo6bo10bo11bo2b4obo9bo$1109bo29bo29bo4b3o$1109bo29bo30bo2bob
o2$1096b2o17bo$1095bobo17bo2b2o54bo$1095bo11b3o4b2o4bo53bo26bo$1095bob
o7b2o3bo4bobo2b2o52bo26bo$1096b2o7bo9bo3b2o80bo7b3ob3o$1105bo11b3o88bo
2bobo2bo$1106b2o100bo2bobo2bo15bo25bo$1111bo97b4obob2o13b2o3bo7b3o10b
4o$1204b3o8b2o13b2obob3o6bo2b2o7b4obo$1203bo12b6o7b2o2bobobo6bo9b4o3b
2o$1202b2o7bo8b3o6b2ob2ob2o8bo8bo2bob3o$1200b2obo7bo10b2o5bo18b2o4b3o
2b2o$1200b2o5bo3bo5b2obobo7b2o$1200b3o5b2o3bo6bo14b3o$1215bo13b2obo$
1216bo25b3o$1212bo3bo23bo3b2o$1212bob2o6bo7b2o3bo4bobo2b2o$1213b2o5b2o
bo8b3o4b2o4bo$1212bo2bo5b3o16bo2b2o$1184bo28bobo6bo17bo$1183bobo27b3o$
1184bo6b2o2b3o$1190b3obo2bo$1189b2o3b4o$1190bob4o$1191b4o4b3o$1193bo5b
obo$1198b2obo$1197b4o$1196b3o$1197b2ob2o$1197bo2b2o$1198b3o$1199bo15$
1165b2o$1163b2obo10b2o4b3o2b2o$1163b2o9bo8bo2bob3o$1163b2obo6bo9b4o3b
2o$1165b2o6bo2b2o7b4obo$1173b3o10b4o$1187bo!Code: Select all
x = 63, y = 80, rule = B34t/S23-a4i
7$36bo11bo$36bo11b2o$36bo11b2o$49bo8$11bo2bo$10bob2obo$11bo2bo$11bo2bo
$10bob2obo$11bo2bo6$35bo2bo$35bo2bo$35bo2bo$35bo2bo9$9b2o4b2o$9bobo4bo
$13bobo$11bo22b2o$14bo19bobo$10bobo22b3o$9bo4bobo20bo$9b2o4b2o20bo$37b
3o$38bobo$39b2o13$36b3o3$38bo$37b3o!