A search for 2c/5 parallel components starting at a common known joint just finished. Along the way it dropped various stuff which I'm not entirely sure how best to dice up and catalog (since there's more than one commonish joint between these). I'll just give the newish seeming cycles I guess...
Shrinks 8 per 16.4 (known slope, I think previously-known component plus taglong):
Code: Select all
x = 141, y = 88, rule = B3/S23
141o2$141o2$141o2$141o2$141o2$141o2$141o2$141o2$141o2$140o$130bo7bobo$
129o4b6obo$128bo5bo2b3o$126o9b2o2bo$137bo$124o$124bo4b2o$124o4bo$114bo
9bo3b3o$114o3b4o3bo3bo$112bo4bo6bo$109o10b2o2bo$120bo$108o$108bo4bo$
109o3bo$106bobo2b2o$98o3b3o3b3o2bo$94bob2o3bo5b2o$92o11b2o$92bo10b2o$
92o$92bo$91ob2ob3o$83bo11b3o$79o2bo3b2o3bo2bob2o$78bo2bo3bo2bo2bobo$
76o10b3o$76bo10b2o$77o$76b2o2bo$74ob5obo$67bo4bob4o$63o3bob3o5bo2bobo$
62bo6bo2b2o2bobo$60o10bo2bo$60bo9bobo$59o$63b2o$58o5b2o$48bo7bobo4bo$
47o4b6obo3bo$46bo5bo2b3o3bo$44o9b2o2bo$55bo$42o$42bo4b2o$42o4bo$32bo9b
o3b3o$32o3b4o3bo3bo$30bo4bo6bo$27o10b2o2bo$38bo$26o$26bo4bo$27o3bo$24b
obo2b2o$16o3b3o3b3o2bo$12bob2o3bo5b2o$10o11b2o$10bo10b2o$10o$10bo$9ob
2ob3o$bo11b3o$3b2o3bo2bob2o$3bo2bo2bobo$4b3o$5b2o!
Shrinks 12 per 22.8:
Code: Select all
x = 235, y = 154, rule = B3/S23
235o2$235o2$235o2$235o2$235o2$235o2$235o2$235o2$235o2$235o2$235o2$235o
2$235o2$235o2$235o$233bo$229o3bobo$228bo$227o2$225o$222bo2bobo$220o4b
2o$224b2o$218o9bo$218bo4bo3bo$218o4b2o$208bo9bo4bo2bo$208o3b4o3bo6bo$
206bo4bo6bo$203o10b2o2bo$203bo10bo$204o$198bo4bo$196o5bo$196bo4b2obo$
196o6bobo$196bo3bo2bo$195ob2obo$187bo12bobo$183o2bo3b2o3bo2bo3bo$182bo
2bo3bo2bo2bobo$182o8b3o$181b2o8b2o$179o2b2o$176bo2bobo$174o5bobo$174bo
4bo$173o6b2o$176bob4o$172o5bob2o$162bo7bobo3bo3bo$161o4b6obo5b2o$160bo
5bo2b3o$158o9b2o2bo$169bo$157o$154bo2b2o$151o4bo$156b3o$150o6bobo$150b
o3b2o$151o3b3o$148bobo3b3o$140o3b3o3b3o$136bob2o3bo5b2o$135o10b2o$135b
o9b2o$134ob2o$130bo4bo$128o5bobo$128bo4b2o$129o5bobo$128b2o5bo$126ob3o
b3o$119bo4bob5ob2o$115o3bob3o5bo4bo$114bo6bo2b2o2bo$113o9bo2bo$122bobo
$111o$108bo2bobo$106o4b2o$110b2o$104o9bo$104bo4bo3bo$104o4b2o$94bo9bo
4bo2bo$94o3b4o3bo6bo$92bo4bo6bo$89o10b2o2bo$89bo10bo$90o$84bo4bo$82o5b
o$82bo4b2obo$82o6bobo$82bo3bo2bo$81ob2obo$73bo12bobo$69o2bo3b2o3bo2bo
3bo$68bo2bo3bo2bo2bobo$68o8b3o$67b2o8b2o$65o2b2o$62bo2bobo$60o5bobo$
60bo4bo$59o6b2o$62bob4o$58o5bob2o$48bo7bobo3bo3bo$47o4b6obo5b2o$46bo5b
o2b3o$44o9b2o2bo$55bo$43o$40bo2b2o$37o4bo$42b3o$36o6bobo$36bo3b2o$37o
3b3o$34bobo3b3o$26o3b3o3b3o$22bob2o3bo5b2o$21o10b2o$21bo9b2o$20ob2o$
16bo4bo$14o5bobo$14bo4b2o$15o5bobo$14b2o5bo$12ob3ob3o$5bo4bob5ob2o$o3b
ob3o5bo4bo$o6bo2b2o2bo$8bo2bo$8bobo!
Shrinks 10 per 32.8:
Code: Select all
x = 177, y = 100, rule = B3/S23
177o2$177o2$177o2$177o2$177o2$177o2$177o2$177o2$177o2$177o2$177o2$177o
2$177o2$177o2$177o2$177o2$177o2$177o2$177o2$177o$164bo11bo$162o4b9o$
165bo5bo2bo$161o5b2ob2o$158bo2b2o5b2o$155o4bo$160b3o7b2o$154o6bobo7b2o
$154bo3b2o9bo3b2o$155o3b3o9b5o$130bo21bobo3b3o9b2obo$129o3b12o3b3o3b3o
$129bo3bo6bob2o3bo5b2o$128ob2o3b2o2bo10b2o$124bo4bo4b2o3bo9b2o$122o5bo
bo$122bo4b2o11bo$123o5bobo6bob2o$122b2o5bo6b2o$120ob3ob3o9b2o2b2o$113b
o4bob5ob2o$97o3b9o3bob3o5bo4bo$100bo4bo2bo6bo2b2o2bo$95o4bobobo12bo2bo
$92bo2bobo4b2o12bobo$90o4b2o$94b2o9bo2bo$88o9bo6b2o$88bo4bo3bo5bo5bo$
88o4b2o10b5o$66bo11bo9bo4bo2bo8bo$63o4b11o3b4o3bo6bo$63bo3bo8bo4bo6bo$
64o4b2ob2o10b2o2bo$58bo4bo5b4o11bo$56o5bo9b2o$56bo4b2obo7b2o$56o6bobo
6bob2o$56bo3bo2bo7bo4bo$55ob2obo11bo$32bo14bo12bobo9bo2b2o$32o2b9o2bo
3b2o3bo2bo3bo$31b2obo7bo2bo3bo2bo2bobo$29o2b2o2bobo3bo8b3o$26bo2bobo4b
2o13b2o$24o5bobo$24bo4bo11b2o$23o6b2o7b5o$26bob4o6bo2b3o$22o5bob2o7b3o
$o11bo7bobo3bo3bo$2b9o4b6obo5b2o$bo5bo2bo5bo2b3o$2b2ob2o10b2o2bo$4b2o
13bo2$6b2o$6b2o$5bo3b2o$6b5o$6b2obo!
Shrinks 18 per 37.6:
Code: Select all
x = 211, y = 150, rule = B3/S23
211o2$211o2$211o2$211o2$211o2$211o2$211o2$211o2$211o2$211o2$211o2$211o
2$211o2$211o2$211o2$211o2$211o2$211o2$211o2$211o2$211o2$211o2$211o2$
209o2$208o2bo$208bobo$199o3bobo4bo$201bob2o$198o3b2o$198bo3b2o$199o3b
2o$196bobo3bobo$188o3b3o3b3o2bobob2o$184bob2o3bo5b2o3bobo$182o11b2o$
182bo10b2o$182o$182bo$176o2b3ob2o$174b2obo4bob3o$174o3bo2bo$171b2o5bo
2bo3b2o$172o7b2o$170bo$162o2b2obo4b2o$163bo3bo2bo$160o4bo$160bo3bo3bo$
160o5bo$150bo9bo3bo4bo$150o3b4o3bo3b3obo$148bo4bo6bo4b2obo$145o10b2o2b
o$156bo$144o$137bo6bo$137o3b5o$136bo2bo3bo2b2o$135obo3b3o4bobo$133bo6b
2o5b2o$131o11b2o$131b2obo$124o2b2obob2obo$124bo2b6obo$123o3b2o$128b3o$
122o5b3obo$112bo7bobo$111o4b6obo3b2ob3o$110bo5bo2b3o3bobo$108o9b2o2bo$
119bo$106o$106bo$98o3b5obobo$97b2o12bo$96o2bo2bob2o4b2o$96bo6b2o4b2o$
94o6bo4b2o$88bo10bo$86o3bobobob3o$86bo2b2ob2o$87o$86b3o$84ob9o$77bo4bo
b4o4b2o$73o3bob3o5bo2b2obo$72bo6bo2b2o2bobo$70o10bo2bo$70bo9bobo$69o$
72bo$61ob6o2bo2bo$68bobo$58o3b4ob8o$58bob3o3bo2bo$58ob3o5b2o$50bo5b3ob
o$48o4bobo4bo$48bo2bo2bo$48o3bo2bo$48bo$47ob2obo2bo$39bo11b2ob2o$35o2b
o3b2o3bo2bob2obo$34bo2bo3bo2bo2bobo5bo$32o10b3o$32bo10b2o$33o$32b2o$
24ob2ob2o2bob2o$25bobo2bobob2o$21o2b2ob3o2bo2bo$23bo4bo2bo$20o2bo6b2o$
20bobo$11o3bobo4bo$13bob2o$10o3b2o$10bo3b2o$11o3b2o$8bobo3bobo$3b3o3b
3o2bobob2o$3bo5b2o3bobo$5b2o$5b2o!
Finally here is the longest partial as the search was running. It shows just how viable 2c/5 parallel edges are at this row width.
Code: Select all
| | | | *.*.*.*.*.*.*.*.*....... | *.*.*.*.*.*.*.*...*.....
| *.*.*.*.*.*.*.*.*..*.... | *.*.*.*.*.*.*.*....*.... | *.*.*.*.*.*.*.*..***.... | *.*.*.*.*.*.*.*.**...... | *.*.*.*.*.*.*.*.**......
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| *.*.*.*.*.*.*.*..*...... | *.*.*.*.*.*.*.*..*...... | *.*.*.*.*.*.*.*.***..... | *.*.*.*.*.*.*.*......... | *.*.*.*.*.*.*.**........
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| *.*.*.*.*.*..*.***.... | *.*.*.*.*.*..*****.... | *.*.*.*.*..*.**...... | *.*.*.*.*..*******... | *.*.*.*.*..*.........
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| *.*.*.*.*....***... | *.*.*.*.*.*..***... | *.*.*.*.*.**....*... | *.*.*.*.*.**..***... | *.*.*.*..******.*..
| *.*.*.*.*.**........ | *.*.*.*.*..**.**.... | *.*.*.*.*..**..*... | *.*.*.*....**...... | *.*.*.*.....****...
| *.*.*.*..***....*.. | *.*.*.*..*.*....... | *.*.*..***...*.... | *.*.*..****..*.... | *.*.*.*****..*....
| *.*.*.*........*.. | *.*.*....*.**..... | *.*.*......**..... | *.*.**..*...*.... | *.*.**.**........
| *.*.*....*..**.... | *.*.*............ | *.*.*............ | *.*.*........... | *.*.*...........
| *.*.*........... | *.*.**.......... | *.*.**.......... | *.*.*.*....... | *.*.*.**......
| *.*.*...*....... | *.*.*..*...... | *.*.*.**...... | *.*.*.**...... | *.*.*.*.*.....
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| *.*.*.*.....*.*... | *.*.*.*.*..**.**... | *.*.*.*.****...*... | *.*.*.*.*.....*... | *.*.*.*.....*.*...
| *.*.*.**...**.**.. | *.*.*.**...**.**.. | *.*.*.*....**..... | *.*.*.*..*..*..... | *.*.*.*.*..***....
| *.*.*.*.......*... | *.*.*.*.......*... | *.*.*.*.....*..... | *.*.*.**...**..... | *.*.*.**...***....
| *.*.*.*.......*... | *.*.*.*......***.. | *.*.*.*........*.. | *.*.*.*.......*... | *.*.*........*....
| *.*.*.**...*..*... | *.*.*.**.....**... | *.*.*.**.....*.*.. | *.*.*.**......*... | *.*.*.............
| *.*.*........*.... | *.*.*............. | *.*.*.*........... | *.*.*.**.......... | *.*.*.**.........
| *.*.*............. | *.*.**........... | *.*.**.....*..... | *.*.*......*... | *.*.*.....***...
| *.*.*......*..... | *.*.*.....***... | *.*.*.....*.*... | *.*.*....**.**.. | *.*.**...*...*..
| *.*.*.*...***... | *.*.*.....*.*... | *.*.*....**.**.. | *.*.*....**.**.. | *.*.*.......*.*..
| *.*.**....*..*.. | *.*.*.*...*..*.. | *.*.*.**..*..*... | *.*.*.**.**...*.. | *.*.*.**...*.*...
| *.*.*.*.....*.*.. | *.*.*.**...**.*.. | *.*.*.*....**.*.. | *.*.*.*.**....... | *.*.*.*....***....
| *.*.*.**...*..*.. | *.*.*.*.*...*.*.. | *.*.*.*.**.**..... | *.*.*.*.**.***.... | *.*.*.*.***.*.....
| *.*.*.*.**...*.... | *.*.*.*.**........ | *.*.*.*.**........ | *.*.*.*........... | *.*.*.*.....*.....
| *.*.*.*..**....... | *.*.*.*........... | *.*.*.*..*........ | *.*.*.*.......... | *.*.*.*..........
| *.*.*.*..*.*...... | *.*.*.**.*....... | *.*.*.*..**...... | *.*.*.**.**...... | *.*.*.**.**.....
| *.*.*.*.......... | *.*.*.*.***...... | *.*.*.*...*..... | *.*.*.*...*..... | *.*.*.*.*...*....
| *.*.*.*.**...... | *.*.*.*.**...... | *.*.*.*.*..**.... | *.*.*.*..*****... | *.*.*.*..*****....
| *.*.*.*.*...**... | *.*.*.*....***... | *.*.*.*.*..*.**... | *.*.*.*.*....*.... | *.*.*.*.*....*....
| *.*.*.*.****.*.... | *.*.*.*.*.**.**... | *.*.*.*..***...... | *.*.*.*.*..**..... | *.*.*.*.**..*.....
| *.*.*.*.*....*.... | *.*.*.*.*....**... | *.*.*.*.*.*....... | *.*.*.*.*......... | *.*.*.*.*.*.*...*..
| *.*.*.*.*..***.... | *.*.*.*.*..****.*.. | *.*.*.*.*..*....*... | *.*.*.*.*.**...***.. | *.*.*.*.*.****.***...
| *.*.*.*.*.*....***.. | *.*.*.*.*.*..*.*.*.. | *.*.*.*.*.*....***... | *.*.*.*.*.*.****..*.. | *.*.*.*.*.*.*.....*..
| *.*.*.*.*.*..*.***... | *.*.*.*.*.*.**....*.. | *.*.*.*.*.*.***..**... | *.*.*.*.*.*..***.**... | *.*.*.*.*.*....****...
| *.*.*.*.*.*.***...*... | *.*.*.*.*.*.......*... | *.*.*.*.*.*........... | *.*.*.*.*.*.**........ | *.*.*.*.*.*.**.**.....
| *.*.*.*.*.*.****..*... | *.*.*.*.*.*....*...... | *.*.*.*.*.**.......... | *.*.*.*.*.**...*...... | *.*.*.*.*.*..*........
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| *.*.*.*.*.****.*..... | *.*.*.*.*.......*... | *.*.*.*.*....*...... | *.*.*.*.*...**...... | *.*.*.*.*..*........
| *.*.*.*.*.**.**..... | *.*.*.*.*....**..... | *.*.*.*.**...***.... | *.*.*.*.**...*.*.... | *.*.*.*.**..***....
| *.*.*.*.*.**........ | *.*.*.*.*.....*.... | *.*.*.*.......*.... | *.*.*.*............ | *.*.*.*.*..........
| *.*.*.*.**..**..... | *.*.*.*....***..... | *.*.*.*....*..*.... | *.*.*.**.......... | *.*.*.**..........
| *.*.*.*.**...*..... | *.*.*.*.....**.... | *.*.*.*........... | *.*.*.*.....**.... | *.*.*.*.*...**....
| *.*.*.*.*......... | *.*.*.*.*...*..... | *.*.*.*.**..**... | *.*.*.*.**..**... | *.*.*.*..*.***....
| *.*.*.*.*..*.*... | *.*.*.*.**....... | *.*.*.*.**...*.... | *.*.*.*...*....... | *.*.*.*...**..*...
| *.*.*.*..*....*... | *.*.*.*.*....**... | *.*.*.*.**...***... | *.*.*.*.**..***... | *.*.*.*..**.**....
| *.*.*.**......*... | *.*.*.**......**.. | *.*.*.*.....*..... | *.*.*.*....**..... | *.*.*.*.*.*....*..
| *.*.*.*.....***... | *.*.*.*....**.**.. | *.*.*.*....**.**.. | *.*.*.**...*****.. | *.*.*.**.......*..
| *.*.*.*.*.**..*... | *.*.*.*....**..... | *.*.*.*...*....*.. | *.*.*.*..**.**.*... | *.*.*.*.**.....*...
| *.*.*.*.......***.. | *.*.*.*.*.*..**.... | *.*.*.*.*.**..*.... | *.*.*.*..***....... | *.*.*.*.*....*.....
| *.*.*.*.**....*.... | *.*.*.*.**...**.... | *.*.*.*....*....... | *.*.*.*.*..**...... | *.*.*.*.*..**.....
| *.*.*.*.*...*...... | *.*.*.*.**.***..... | *.*.*.*.**.*..*... | *.*.*.*.**........ | *.*.*.*....*......
| *.*.*.*....**..... | *.*.*.*....**..... | *.*.*.*..*........ | *.*.*.*.***....... | *.*.*.*....**.....
| *.*.*.*...*....... | *.*.*.*...*.*..... | *.*.*.*.....*.... | *.*.*.*..*.***... | *.*.*.*....***...
| *.*.*.**..*..*... | *.*.*.**......... | *.*.*.*.*.*.**... | *.*.*.*.*.....*... | *.*.*.*.**.*..*...
| *.*.*.*......*... | *.*.*.*.***.**.... | *.*.*.*.**..***... | *.*.*.*.*...*.*... | *.*.*.*..*..*.**...
| *.*.*.*.**.*..**.. | *.*.*.*......*.*... | *.*.*.*..**....*... | *.*.*.*...***..*... | *.*.*.*.**.***.....
| *.*.*.*.......**... | *.*.*.*....*****... | *.*.*.*.*...*..*... | *.*.*..**......... | *.*.*.**..*...**..
| *.*.*.*.**.**...... | *.*.*..***....*... | *.*.*....**.*..... | *.*.*.*....****.*. | *.*.*.**......????
| *.*.*....*****.... | *.*.*.**.*.....*.. | | |
Or single-phase in viewer:
Code: Select all
x = 98, y = 23, rule = B3/S23
98o2$98o2$98o$56bo$40o3b9o3bob40o$43bo4bo2bo6bo25bo7bo$38o4bobobo12bo
3b20o3bob2o4bobo$35bo2bobo4b2o12b3obobo13b2o2bo4bo5bob2o$33o4b2o16b2o
3bo4bo2b11o7bo4b2o4bo$37b2o9bo2bo2b2o2bo2bo3bobo8b3o3bo3bo3bo3bob2o$
31o9bo6b2o6bobo6bo2bo2b3o3bo2bo5bo3b2o5b2o$31bo4bo3bo5bo5bo3bo2bo4b4ob
5o2b2ob2obo2bo6b2o3bo$31o4b2o10b5o5b2o11b2o2b2obo5b6o5b2o$4bo16bo9bo4b
o2bo8bo19b2ob2ob3o10bo6b2o$o2bobo3b12o3b4o3bo6bo29b2o4b2o11bo$2bo2b2o
2bo9bo4bo6bo36b2o$bo8b2o2b2o10b2o2bo39b2o$o10bo2b2o11bo$13bo3bo$14b4o$
14b2o!