ConwayLife.com

Posted: **March 12th, 2013, 11:07 pm**

I have found a c/5 wickstretcher for a period-12 wick:

x = 185, y = 81, rule = B3/S23
58b2o3b2o55b2o3b2o$59bobobo57bobobo$53b2obo2b2ob2o2bob2o45b2obo2b2ob2o
2bob2o$53b2obobo5bobob2o45b2obobo5bobob2o$52bo2bo2bo5bo2bo2bo43bo2bo2b
o5bo2bo2bo$52bobo13bobo43bobo13bobo$54bo13bo47bo13bo$55bo11bo49bo11bo$
55bo11bo49bo11bo$53b2o2bo7bo2b2o45b2o2bo7bo2b2o$53b2ob2o7b2ob2o45b2ob
2o7b2ob2o$53b2obo9bob2o45b2obo9bob2o3$57b4ob4o53b4ob4o$53b2o6bo6b2o45b
2o6bo6b2o$53b2o2bobo3bobo2b2o45b2o2bobo3bobo2b2o$53b2o3bo5bo3b2o45b2o
3bo5bo3b2o$54bo13bo47bo13bo$54bo13bo47bo13bo$54bobo9bobo47bobo9bobo$
56b2o7b2o51b2o7b2o$55bob2o5b2obo49bob2o5b2obo$55b3o7b3o49b3o7b3o$54bob
o9bobo47bobo9bobo$54b2o3bo3bo3b2o47b2o3bo3bo3b2o$54b2o2b7o2b2o47b2o2b
7o2b2o$55b3ob5ob3o49b3ob5ob3o$56b2o7b2o51b2o7b2o2$60b3o59b3o$58bob3obo
55bob3obo$56b2o3bo3b2o51b2o3bo3b2o$56b2o7b2o51b2o7b2o$57bo3bo3bo53bo3b
o3bo$60b3o59b3o2$54b2o3b2ob2o3b2o11b2o3bo13bo3b2o11b2o3b2ob2o3b2o$53b
2ob2o2bobo2b2ob2o5bobobob5o13b5obobobo5b2ob2o2bobo2b2ob2o$53b2obobobob
obobob2o2b2ob5o25b5ob2o2b2obobobobobobob2o$54bo13bo14b2o5bo3bo5b2o14bo
13bo$41b2o3bo8bob3o3b3obo3b2ob2o3b2o6b3obobob3o6b2o3b2ob2o3bob3o3b3obo
8bo3b2o$41bobobobo23bo9b4o3bo2bobo2bo3b4o9bo23bobobobo$42b2obo2bo32bo
5bo2b2ob2o2bo5bo32bo2bob2o$14bo29b5o29b5ob2obo9bob2ob5o29b5o29bo$11b5o
3bo2b2o9b5obobo8bo22b3obo2b3o8bobo8b3o2bob3o22bo8bobob5o9b2o2bo3b5o$
10bobo3bobobo2bob2o14bo8bo25bo5bo8bobo8bo5bo25bo8bo14b2obo2bobobo3bobo
$11bo2bobo6b2o3b3o2b3obo12bo2b2obo6b3o2b2o18b2o5b2o18b2o2b3o6bob2o2bo
12bob3o2b3o3b2o6bobo2bo$12b2o4bo3bo5b4o22b3o3bobo4bobob2o39b2obobo4bob
o3b3o22b4o5bo3bo4b2o$7b3o2b2obo4b2o8b3o24b3ob2o4b3o3bo11b2o2bobobobo2b
2o11bo3b3o4b2ob3o24b3o8b2o4bob2o2b3o$9bo6bo3b2obo8bo19bo3bo2b3o4bo6bo
11bo3bobobobo3bo11bo6bo4b3o2bo3bo19bo8bob2o3bo6bo$3b7o10bobobo27bo6bo
2bob2o4bob2o12b3o7b3o12b2obo4b2obo2bo6bo27bobobo10b7o$2bo2bobo10b2o2bo
bo27bo3bo2bo2bobo5b2o2bo9bobobo7bobobo9bo2b2o5bobo2bo2bo3bo27bobo2b2o
10bobo2bo$5b2o59bo3b2ob2o8bobo2bob2ob2obo2bobo8b2ob2o3bo59b2o$64b3o6bo
9bobobo3bobo3bobobo9bo6b3o$5bo60bo6b2o7b2obob4o3b4obob2o7b2o6bo60bo$2b
2o81bobo2bo3bo2bobo81b2o$2b2o81bob4o3b4obo81b2o$b2o2b2o79bo4bobo4bo79b
2o2b2o$3b2o82b2o7b2o82b2o$o2b2obo77b3o2bobobobo2b3o77bob2o2bo$b2o2bo
78bo2b3obobob3o2bo78bo2b2o$85bobo9bobo$84b2obob2o3b2obob2o$83bo3bob2o
3b2obo3bo$84bob2o9b2obo$83b2obo2bo5bo2bob2o$86bobo7bobo$86bob2o5b2obo$
84b2o3bo5bo3b2o$85bobo9bobo$85bo3bo5bo3bo$86bob2obobob2obo$84bobobo2bo
bo2bobobo$83bobob2o2bobo2b2obobo$83bobo5bobo5bobo$84bo2bobobobobobo2bo
$85b2ob2obobob2ob2o$90bo3bo$84bob4o5b4obo$84b2obo9bob2o!

From this I also found a spider tagalong with a repeatable component:

Code: Select all

x = 135, y = 53, rule = B3/S23
9bo7bo$3b2obobob2o3b2obobob2o$3obob3o9b3obob3o8b2o7b2ob2o$o3bobo5bobo
5bobo3bo7b3o3bo4bo3bo$4b2o6bobo6b2o8bo6b2ob2o2bobobo$b2o9bobo9b2o3b2o
3bo3bo2bob2obo$b2ob2o15b2ob2o6bo8bo2bobo4bo$5bo15bo16bob2o9b2o$35b2o4b
o3b2o2bo2b3o$36bo3bo12b2ob2o$40bo15bo$53bobo$56bo$53bo2bo$57bo$54bo$
54b4o$54bob2obo$54bo$59bo$55bo2bo$56bo11$39bo3bo20bo3b2o19bo3b2o$38bob
obob2o17bobobobo18bobobobo$10bo7bo18bo2bobo19bo2bob2o18bo4b2o$4b2obobo
b2o3b2obobob2o13b2obo20b5o19b8o5b3o18b2obo$b3obob3o9b3obob3o8bo7bo3b2o
b2o7bo8bobob5o8bob3o4bo3b3o9b3o2bo3b2ob2o$bo3bobo5bobo5bobo3bo6b2o8b5o
2b2o7bo8bo14b3o8bob2o7bo3bo5bob2o5bo$5b2o6bobo6b2o8bo13b2o2b2o4b2o2bo
12bob3o2b3o18bo2bo2b2ob4o2bo3bo3bo$2b2o9bobo9b2o3b2o4bo18b2o22b4o18b2o
4bo4b3o5bo3bo2bo$2b2ob2o15b2ob2o6bo19b2o23b3o22bo11b2o4b3o2b2o$6bo15bo
29bo25bo24bo8bo3bo8bo4b2o$111bobobo10bobob3o$114bobo15bo$129b2o$129b2o
2$131b3o$131bo$130bo3bo$129bo4bo$134bo$130b5o!

Posted: **March 16th, 2013, 12:09 am**

Very cool find. Any details on how you found it?

Posted: **March 16th, 2013, 2:58 am**

velcrorex wrote:Any details on how you found it?

You probably already saw this, but I recently noticed that a known stabilization for the period-6 form of this wick worked for the period-12 form (mentioned here). I then used JLS to find this stabilization that worked with an arbitrary number of stripes between the volatile part (in case it was easier to find a stretcher for one of these wicks):

Code: Select all

x = 143, y = 58, rule = B3/S23
2o2bo91bo2bo2bo$bobo93bobobo$bobobo89bobobobobo$2ob2o91b2obob2o$bob2o
91b2obob2o$bo97bo$2obo93bobobo$bobo93bobobo$bo3bo89bo3bo3bo$2ob2o91b2o
bob2o$bob2o91b2obob2o$bo97bo$2o2bo91bo2bo2bo$bobo93bobobo$bobobo89bobo
bobobo$2ob2o91b2obob2o$bob2o91b2obob2o$bo97bo$2obo93bobobo$bobo93bobob
o$bo3bo89bo3bo3bo$2ob2o91b2obob2o$bob2o91b2obob2o$bo97bo$2o2bo91bo2bo
2bo$bobo93bobobo$bobobo89bobobobobo$2ob2o91b2obob2o$bob2o91b2obob2o$bo
97bo$2obo93bobobo$bobo93bobobo$bo3bo89bo3bo3bo$2ob2o91b2obob2o$bob2o
91b2obob2o$bo97bo$2o2bo91bo2bo2bo$bobo93bobobo$bobobo89bobobobobo$2ob
2o91b2obob2o$bob2o91b2obob2o$bo97bo$2obo13bo2bo3b2o2b2o41b2o2b2o3bo2bo
13bobobo13bo2bo3b2o2b2o$bobo11b6o3b2o2b2o41b2o2b2o3b6o11bobobo11b6o3b
2o2b2o$bo3bo8bo22bo2bo19bo2bo22bo8bo3bo3bo8bo22bo2bo$2ob2o8bo2b3o3b10o
3b6o19b6o3b10o3b3o2bo8b2obob2o8bo2b3o3b10o3b6o$bob2o5bo3b2o3bo2bo8bo2b
o6b2o15b2o6bo2bo8bo2bo3b2o3bo5b2obob2o5bo3b2o3bo2bo8bo2bo6b2o$bo7bobo
4bo2bo4bob3o5bo2b2obo2bo13bo2bob2o2bo5b3obo4bo2bo4bobo7bo7bobo4bo2bo4b
ob3o5bo2b2obo2bo$2obob2obo5bo3bo7bob3o4bobobobobo13bobobobobo4b3obo7bo
3bo5bob2obobobob2obo5bo3bo7bob3o4bobobobobo$bobo5bo3bobo4b2o6bo2b2o3b
3ob2ob2o11b2ob2ob3o3b2o2bo6b2o4bobo3bo5bobobo5bo3bobo4b2o6bo2b2o3b3ob
2ob2o$bob2o3bo2b3o7b2ob2o2b2obo6bo3bo15bo3bo6bob2o2b2ob2o7b3o2bo3b2obo
b2o3bo2b3o7b2ob2o2b2obo6bo3bo$2o7b2o5bo5bobo4bobo7b2obo15bob2o7bobo4bo
bo5bo5b2o7bo7b2o5bo5bobo4bobo7b2obo$2b2obobobo2b4o4bobo2bo2bo2bobo6bob
2o13b2obo6bobo2bo2bo2bobo4b4o2bobobob2ob2obobobo2b4o4bobo2bo2bo2bobo6b
ob2o$2bob2ob2o2b2o7b2o2b2o2b2o2b2o4bo23bo4b2o2b2o2b2o2b2o7b2o2b2ob2obo
bob2ob2o2b2o7b2o2b2o2b2o2b2o4bo$14b2o22b2o21b2o22b2o25b2o22b2o$15bo69b
o27bo$14bo71bo25bo$14b2o69b2o25b2o!

For the c/5 part, I used WLS to look for a short, wide stabilization with an empty central column (if I didn't make the central column empty, searches seemed to take too long, without finding anything more interesting than the empty column searches). While one of these searches was running, I noticed a point where the pattern seemed to "split" (much like how I found the c/5 oblique antstretcher stabilization, which I mention here). At this point I got very lucky again, as I soon found that the top part could easily be supported by a simple spark. The bottom part gave me so many promising partial results that I spent a great deal of time looking for solutions. I finally managed to get the partial result to a point I recognized, and so I finished it with a part of this ship:

Code: Select all

x = 55, y = 20, rule = B3/S23
bo$2o$o2bo36b2obo$4bo26b3o2bo3b2ob2o$3bo2b2o22bo5bob2o5bo$5bo2bo17b3ob
4o2bo3bo3bo$7bo12b3o4bo4b3o5bo3bo2bo$6b2o8b2o2b3o2b3o7b2o4b3o2b2o$9b3o
4bob2ob2o3b2o4bo3bo8bo4b2o$9b2ob2o3b3o2bo3b2o3bobobo10bobob3o$9bo8b2o
2bo11bobo15bo$11bobo3bo9bo21b2o$11bobob2o9bo22b2o2$51b3o$51bo$50bo3bo$
49bo4bo$54bo$50b5o!

Hartmut Holzwart has found this slightly better completion of the lower part that allows the top part to be supported by spiders:

Code: Select all

x = 191, y = 44, rule = B3/S23
47bo5b2o5b2o5bo15b2o3bo13bo3b2o15bo5b2o5b2o5bo$45bo2b2ob2o2bo3bo2b2ob
2o2bo8bobobob5o13b5obobobo8bo2b2ob2o2bo3bo2b2ob2o2bo$43b3o4bobo3bobo3b
obo4b3o3b2ob5o25b5ob2o3b3o4bobo3bobo3bobo4b3o$43b2o2bo2b3ob2o3b2ob3o2b
o2b2o14b2o5bo3bo5b2o14b2o2bo2b3ob2o3b2ob3o2bo2b2o$43b3o2b3o4bo3bo4b3o
2b3o2b2ob2o3b2o6b3obobob3o6b2o3b2ob2o2b3o2b3o4bo3bo4b3o2b3o$44bobo2bo
15bo2bobo3bo9b4o3bo2bobo2bo3b4o9bo3bobo2bo15bo2bobo$45bo23bo14bo5bo2b
2ob2o2bo5bo14bo23bo$81b5ob2obo9bob2ob5o$58b2ob2o13b3obo2b3o8bobo8b3o2b
ob3o13b2ob2o$57bobo3bo15bo5bo8bobo8bo5bo15bo3bobo$58bobo2bo2b2ob2o20b
2o5b2o20b2ob2o2bo2bobo$43bo10bo8bo2b2o3bo3bo39bo3bo3b2o2bo8bo10bo$42bo
bob2o6b2o2bo2b2ob2obo2bo3bobo11b2o2bobobobo2b2o11bobo3bo2bob2ob2o2bo2b
2o6b2obobo$42bobo3bo2b2o6bo9bo3bo2bo11bo3bobobobo3bo11bo2bo3bo9bo6b2o
2bo3bobo$43b2obob5o2bo2bo13b2o2bo12b3o7b3o12bo2b2o13bo2bo2b5obob2o$42b
o5bo2bo22bobo10bobobo7bobobo10bobo22bo2bo5bo$42bo2bo40bobo2bob2ob2obo
2bobo40bo2bo$86bobobo3bobo3bobobo$44bo40b2obob4o3b4obob2o40bo$43b3o42b
obo2bo3bo2bobo42b3o$43bo44bob4o3b4obo44bo$41bobo45bo4bobo4bo45bobo$40b
o2bo46b2o7b2o46bo2bo$40bo46b3o2bobobobo2b3o46bo$39bo2bob2o41bo2b3obobo
b3o2bo41b2obo2bo$42bo45bobo9bobo45bo$40b3ob2o41b2obob2o3b2obob2o41b2ob
3o$40b2ob3o40bo3bob2o3b2obo3bo40b3ob2o$87bob2o9b2obo$42b5o39b2obo2bo5b
o2bob2o39b5o$42b5o42bobo7bobo42b5o$41bobo45bob2o5b2obo45bobo$41b3o43b
2o3bo5bo3b2o43b3o$39b2obo45bobo9bobo45bob2o$38bob3o45bo3bo5bo3bo45b3ob
o$9bo7bo19bo3bo47bob2obobob2obo47bo3bo19bo7bo$3b2obobob2o3b2obobob2o
13bobo47bobobo2bobo2bobobo47bobo13b2obobob2o3b2obobob2o$3obob3o9b3obob
3o8bo50bobob2o2bobo2b2obobo50bo8b3obob3o9b3obob3o$o3bobo5bobo5bobo3bo
6b2o51bobo5bobo5bobo51b2o6bo3bobo5bobo5bobo3bo$4b2o6bobo6b2o8bo55bo2bo
bobobobobo2bo55bo8b2o6bobo6b2o$b2o9bobo9b2o3b2o4bo52b2ob2obobob2ob2o
52bo4b2o3b2o9bobo9b2o$b2ob2o15b2ob2o6bobo58bo3bo58bobo6b2ob2o15b2ob2o$
5bo15bo65bob4o5b4obo65bo15bo$87b2obo9bob2o!

This leads to a few new spider tagalongs:

Code: Select all

x = 160, y = 266, rule = B3/S23
100bo7bo$94b2obobob2o3b2obobob2o$91b3obob3o9b3obob3o$91bo3bobo5bobo5bo
bo3bo$95b2o6bobo6b2o$92b2o9bobo9b2o$92b2ob2o15b2ob2o$88b2o6bo15bo$87b
2o$70bo10bo3bo$69bobob2o6b2o4bo$69bobo3bo2b2o7bo$70b2obob5o2bo2bo$69bo
5bo2bo$69bo2bo2$71bo$70b3o$70bo$68bobo$67bo2bo$67bo$66bo2bob2o$69bo$
67b3ob2o$67b2ob3o2$69b5o$69b5o$68bobo$68b3o$66b2obo$65bob3o$36bo7bo19b
o3bo$30b2obobob2o3b2obobob2o13bobo$27b3obob3o9b3obob3o8bo$27bo3bobo5bo
bo5bobo3bo6b2o$31b2o6bobo6b2o8bo$28b2o9bobo9b2o3b2o4bo$28b2ob2o15b2ob
2o6bobo$32bo15bo14$127b2o5b2o$91bo2bo19bo4b4obobobo5bobobob4o$90b2o2b
2o8b3o6bobo2b3obobob2obo3bob2obobob3o$87b2ob2o2b2ob2o5b3o11bo3bobo13bo
bo3bo$86bo3b2o2b2o3bo12bo2bo3bob3o5b2ob2o5b3obo$70bo10bo4bobo8bobo2b8o
b2o6b2o21b2o$69bobob2o6b2o22b2o2b3o7b5o15b5o$69bobo3bo2b2o7bo10bo11b2o
10b2o15b2o$70b2obob5o2bo2b2o12b2o$69bo5bo2bo$69bo2bo2$71bo$70b3o$70bo$
68bobo$67bo2bo$67bo$66bo2bob2o$69bo$67b3ob2o$67b2ob3o2$69b5o$69b5o$68b
obo$68b3o$66b2obo$65bob3o$36bo7bo19bo3bo$30b2obobob2o3b2obobob2o13bobo
$27b3obob3o9b3obob3o8bo$27bo3bobo5bobo5bobo3bo6b2o$31b2o6bobo6b2o8bo$
28b2o9bobo9b2o3b2o4bo$28b2ob2o15b2ob2o6bobo$32bo15bo10$100bo7bo$94b2ob
obob2o3b2obobob2o$91b3obob3o9b3obob3o$91bo3bobo5bobo5bobo3bo$95b2o6bob
o6b2o$92b2o9bobo9b2o$92b2ob2o15b2ob2o$88b2o6bo15bo$87b2o$70bo10bo3bo$
69bobob2o6b2o4bo$69bobo3bo2b2o7bo$70b2obob5o2bo2bo$69bo5bo2bo$69bo2bo
2$71bo$70b3o$70bo$68bobo$67bo2bo$67bo$66bo2bob2o$69bo$67b3ob2o$67b2ob
3o2$69b5o$69b5o$68bobo$68b3o$66b2obo$39b3ob3o19bob3o$39b3obob2o17bo3bo
$6bo3b3o5b3o3bo13bo4bob2o4bo12bobo$3b2ob5ob2o3b2ob5ob2o17bo6bo9bo$bob
2obo5bobobobo5bob2obo6bobo6bo2b3ob2o6b2o$o3bobo3b5ob5o3bobo3bo2bob3o8b
obo3bo4b2o$4b3o5b2o3b2o5b3o5bob3o17bo2bo4bo$bo2bob3o13b3obo2bo2bobo17b
obo2bo3bo$3bo23bo26bo17$119bo7bo$88bo24b2obobob2o3b2obobob2o$70bo10bo
3b6o6b2o3b2o6b3obob3o9b3obob3o$69bobob2o6b2o7b3o5bobob2o6bo3bobo5bobo
5bobo3bo$69bobo3bo2b2o7bob2obob2o2b2obo3b3o6b2o6bobo6b2o$70b2obob5o2bo
2b3o4bobo2bo13b2o9bobo9b2o$69bo5bo2bo12b3o2b2o7b2o4b2ob2o15b2ob2o$69bo
2bo15b4o23bo15bo$90bo$71bo$70b3o$70bo$68bobo$67bo2bo$67bo$66bo2bob2o$
69bo$67b3ob2o$67b2ob3o2$69b5o$69b5o$68bobo$68b3o$66b2obo$65bob3o$36bo
7bo19bo3bo$30b2obobob2o3b2obobob2o13bobo$27b3obob3o9b3obob3o8bo$27bo3b
obo5bobo5bobo3bo6b2o$31b2o6bobo6b2o8bo$28b2o9bobo9b2o3b2o4bo$28b2ob2o
15b2ob2o6bobo$32bo15bo24$50b2o5b2o$42b4obobobo5bobobob4o4bo$41b3obobob
2obo3bob2obobob3o2bobo6b3o$41bo3bobo13bobo3bo11b3o37bo7bo$42bob3o5b2ob
2o5b3obo3bo2bo14bo24b2obobob2o3b2obobob2o$42b2o21b2o6b2ob8ob6o6b2o3b2o
6b3obob3o9b3obob3o$42b5o15b5o7b3o2b2o9b3o5bobob2o6bo3bobo5bobo5bobo3bo
$45b2o15b2o10b2o11bob2obob2o2b2obo3b3o6b2o6bobo6b2o$85b3o4bobo2bo13b2o
9bobo9b2o$91b3o2b2o7b2o4b2ob2o15b2ob2o$88b4o23bo15bo$90bo29$50b2o5b2o
83b2o5b2o$42b4obobobo5bobobob4o4bo57bo4b4obobobo5bobobob4o$41b3obobob
2obo3bob2obobob3o2bobo6b3o37b3o6bobo2b3obobob2obo3bob2obobob3o$41bo3bo
bo13bobo3bo11b3o37b3o11bo3bobo13bobo3bo$42bob3o5b2ob2o5b3obo3bo2bo14bo
23bo14bo2bo3bob3o5b2ob2o5b3obo$42b2o21b2o6b2ob8ob6o6b2o3b2o6b6ob8ob2o
6b2o21b2o$42b5o15b5o7b3o2b2o9b3o5bobobo5b3o9b2o2b3o7b5o15b5o$45b2o15b
2o10b2o11bob2obob2o2b2ob2o2b2obob2obo11b2o10b2o15b2o$85b3o4bobo2bo5bo
2bobo4b3o$91b3o2b2o5b2o2b3o$88b4o17b4o$90bo19bo!

I'm not sure how easy it will be to find wickstretchers at other orthogonal velocities, but here are some of the ideas that I have had recently:

For c/7, I mentioned the possibility of a stretcher for the period-6 variant of the period-12 wick used in the c/5 stretcher. Despite the fact that the period of the wick acts like it travels at 2c/14 rather than c/7, it may be possible to find a period-7 stabilization for the same reason that it was possible to find a period-6 stabilization to the period-12 wick (I explain this better and give a partial result here).

For 2c/5, there is a period-7 wick that I mentioned recently and have since found a stationary stabilization for:

Code: Select all

x = 37, y = 99, rule = B3/S23
24bobo2bo$24bobobo$22bo3b3obo$22bob2o4bo$23b2o3b2o$23b2obob2o$26bo$23b
o2bobo$24bobobo$22bob3o3bo$22bo4b2obo$23b2o3b2o$23b2obob2o$26bo$24bobo
2bo$24bobobo$22bo3b3obo$22bob2o4bo$23b2o3b2o$23b2obob2o$26bo$23bo2bobo
$24bobobo$22bob3o3bo$22bo4b2obo$23b2o3b2o$23b2obob2o$26bo$24bobo2bo$
24bobobo$22bo3b3obo$22bob2o4bo$23b2o3b2o$23b2obob2o$26bo$23bo2bobo$24b
obobo$22bob3o3bo$22bo4b2obo$23b2o3b2o$23b2obob2o$26bo$24bobo2bo$24bobo
bo$22bo3b3obo$22bob2o4bo$23b2o3b2o$23b2obob2o$26bo$23bo2bobo$24bobobo$
22bob3o3bo$22bo4b2obo$23b2o3b2o$23b2obob2o$26bo$24bobo2bo$24bobobo$22b
o3b3obo$22bob2o4bo$23b2o3b2o$7b2o8b2o4b2obob2o$8bo7bobo7bo$4bobo5b2o2b
o6bo2bobo2bo$3bob3o4bobob2o6bobo2bo2bo$b3o9b2o7bobobo3bob3o$o3b5o7b4o
2bo3bob3o4bo$b2obo4bo3b2o2bo2bo2b2obo2bob3o2bo$2bo2b2obo2bo2b2o5bo4bob
o5b2o$2bobobobobo2b2o4b2o4b2obo2bo2bo$3b2obobo2bobo12bobobobobo$5bobob
obobobo8bobobo2bo2b2o$5bobob2o3b2o6b3obobo3bobo$6bo14bo3bob2o2b2obo$
22b2obob2o2bo2b2o$23bobo6b2o$23bob2o6bo$24bo4bo3bobo$26b5o3b2o$25b2o$
28b3o$25b3o2bo$25bo2b2o$26bobo2bo$24bobobo$23bobobo3bo$23bobo2b2o$24bo
bobo$26bobobo$26bob2obo$23b2obo4bo$23bo2bob2obob2o$24b2o4bobobo$26b2o
2bobo$26bo3bobo$24bobobob2o$24b2obobo$27bobo$27b2o!

Unfortunately, I think it will be quite difficult to find a 2c/5 stretcher due to the lack of short (height < 11) 2c/5 spaceships, the large size of the wick and the fact that it is not symmetric. Still, who knows, we could get lucky. At any rate, it seems like the best bet for a 2c/5 wickstretcher at this point (that I know of).

Even though there are already c/2 wickstretchers, I think it would be interesting to find a stationary stabilization for the period-7 wick in this partial stretcher (front part found by Hartmut Holzwart):

Code: Select all

x = 75, y = 42, rule = S23/B3
9bobo$8bo2bo$7b2o$6bo3bo$5b3obo$2b2o$bo3b5o$o3bo$o5b2o$3o3b4o
$bo7bo$b2o$bobo$b2o2b2obo$2bob3obo$9b2o$4b5ob2o4bo$5bo4bobob2o
bo$6b2obo2bobobo6bo3bo9bo3bo9bo3bo9bo3bo$7bo10b3obobobo2b2ob3o
bobobo2b2ob3obobobo2b2ob3obobobo$9bo9b2obo3bobobobobobo3bobob
obobobo3bobobobobobo3bob3obo$9bo9bobobobobobo3bobobobobobo3bo
bobobobobo3bobobobobobo2bo$7bo11bo2b2ob3obobobo2b2ob3obobobo2b
2ob3obobobo2b2ob3obo$6b2obo2bobob2o2bo9bo3bo9bo3bo9bo3bo$5bo4b
obob2o$4b5ob2o4b2o$9b2o$2bob3obo$b2o2b2obo$bobo$b2o$bo7bo$3o3b
4o$o5b2o$o3bo$bo3b5o$2b2o$5b3obo$6bo3bo$7b2o$8bo2bo$9bobo!

Also, ants and some of the related "lightspeed" wicks could potentially be stretched at c/6 or 2c/7. I haven't really looked into the possibilities here.

I would also very much like to see a c/5 diagonal stretcher for any of the following period-2 wicks:

Code: Select all

x = 102, y = 48, rule = B3/S23
64b2o$60b2obo2bo$59bobobobo$58bo3b2o2b3o$57bob3o7bo$56bobo2b5obobo$55b
o2bo5bob3o$55b2ob2o2bo2bo$57bobob4ob3o$55b3obo2bo5bo$22b2o30bo4b2obo2b
obo$22bo31bobo2bobo2bo$23bobo29bobo2bobo4bobo$57bob2obobobo$22b3ob2o
29bo2bob2o5bobo$2o56b2o6bobo$o27b2o41bobo$bobo64bobo$30b2o41bobo$3bobo
64bobo$32b2o41bobo$5bobo64bobo$34b2o41bobo$7bobo64bobo$36b2o41bobo$9bo
bo64bobo$38b2o41bobo$11bobo64bobo$14bo25b2o41bobo$13b2o65bobo$42b2o41b
obo$48b2o32bobo$44b2obobo37bobo6b2o$84bobo5b2obo2bo$46bo2bo39bobobob2o
bo$48bo37bobo4bobo2bobo$48bo42bo2bobo2bobo$88bobo2bob2o4bo$87bo5bo2bob
3o$87b3ob4obobo$90bo2bo2b2ob2o$87b3obo5bo2bo$86bobob5o2bobo$86bo7b3obo
$87b3o2b2o3bo$90bobobobo$89bo2bob2o$90b2o!

As a last note on wickstretchers, if anyone wasn't already aware, Jason Summers and I recently completed the partial c/4 diagonal wickstretcher for a period-6 wick (see this topic).

ConwayLife.com

c/5 wickstretcher

c/5 wickstretcher

Re: c/5 wickstretcher

Re: c/5 wickstretcher