Quartermax?

[Kiran]

A simple stabilization exists for cross-grain edges:

Code: Select all

x = 10, y = 20, rule = B3/S23
9bo$9o2$9o$9bo$9o2$9o$9bo$9o2$9o$9bo$9o2$9o$9bo$9o2$9o!

One corner can be copied from halfmax, but the other two may be difficult to find.
Have anyone already tried this?

[HartmutHolzwart]

Actually I have on and off for the last 10 years! Without any success. That's why I came up with a different approach following the lines described in the c/2 grey ship thread. Here is a highly non optimized partial solution to explain the idea:

Code: Select all

x = 217, y = 158, rule = B3/S23
20$116b8o$114bo$114b10o$112bo$112b12o$110bo$110b14o$108bo15b3o3bobobob
obobobobobobobobobobo$108b16o4b2o2bobobobobobobobobobobob2o$106bo17b3o
3bobobobobobobobobobobobob2o$106b18o2b4o2bobobobobobobobobobobo$104bo
19bobo5bobobobobobobobobobobo2bo$104b20o3b4obobobobobobobobobobobobo$
102bo21b2o6bobobobobobobobobobobobobo$102b22o3b4obobobobobobobobobobob
ob2o$100bo23b4o2bobobobobobobobobobobobob2o$100b24o3bob2obobobobobobob
obobobobo$98bo25b3o3bobobobobobobobobobobobo2bo$98b26o4b2o2bobobobobob
obobobobobobo$96bo27b3o3bobobobobobobobobobobobobobo$96b28o2b4o2bobobo
bobobobobobobobob2o$94bo29b3o3bobobobobobobobobobobobob2o$94b30o2b5obo
bobobobobobobobobobo$92bo31bobo5bobobobobobobobobobobo2bo$92b32o3b4obo
bobobobobobobobobobobo$90bo33b2o6bobobobobobobobobobobobobo$90b34o3b4o
bobobobobobobobobobobob2o$88bo35b4o2bobobobobobobobobobobobob2o$88b36o
3bob2obobobobobobobobobobobo$86bo37b3o3bobobobobobobobobobobobo2bo$86b
38o4b2o2bobobobobobobobobobobobo18b2o$84bo39b3o3bobobobobobobobobobobo
bobobo15bo2bo$84b40o2b4o2bobobobobobobobobobobob2o17b2o$82bo41bobo5bob
obobobobobobobobobob2o19b3o$82b42o3b4obobobobobobobobobobobo9b2o9b2o2b
o8b2o$80bo43b2o6bobobobobobobobobobobobo7b2o8bo3bo8bo2bob2o$80b44o3b4o
bobobobobobobobobobobobo3b2o12b2o5b2o5bobobobo$78bo45b4o2bobobobobobob
obobobobobobobo5bo5b2o2bo2bo4bo2b3obo2bo2bo$78b46o3bob2obobobobobobobo
bobobo2b2obo2bobobo3bobobob2o5bobo4bobo2b2o$76bo47b3o3bobobobobobobobo
bobobo6bobo5bobobo3bo5b2o2bobo2bob2o2b2o$76b48o4b2o2bobobobobobobobob
2o3b5o2b5o4bob2o2b2obo2bobob2o2bo2b2o2bo$38bo35bo49b3o3bobobobobobobob
obo5bo5b2o15b3ob3o8bo3b3o$35b4o35b50o2b4o2bobobobobobobobob2o3b5o2b5o
4bob2o2b2obo2bobob2o2bo$35b2o35bo51bobo5bobobobobobobobobobo6bobo5bobo
bo3bo5b2o2bobo2bob7o$33bo38b52o3b4obobobobobobobobobobo2b2obo2bobobo3b
obobob2o5bobo4bobo6bo$33b4o33bo53b2o6bobobobobobobobobobobobobo5bo5b2o
2bo2bo4bo2b3obobobob3o$32bo37b54o3b4obobobobobobobobobobobobo3b2o12b2o
5b2o5bo3b2obo$31b3o2bo31bo55b4o2bobobobobobobobobobobobobo7b2o8bo3bo8b
o$32b3o33b56o3bob2obobobobobobobobobobobo9b2o9b2o2bo7b2o$33bo32bo57b3o
3bobobobobobobobobobobobob2o19b3o$34b3obo27b58o4b2o2bobobobobobobobobo
bobob2o17b2o$34bo2b2o25bo59b3o3bobobobobobobobobobobobobobo15bo2bo$35b
3o26b60o2b4o2bobobobobobobobobobobo5bo14b2o$37bo24bo61bobo5bobobobobob
obobobobo2b3o3bob2o$35bo26b62o3b4obobobobobobobobobob2obobo3bob2o$35bo
bo22bo63b2o6bobobobobobobobobobo2bo3bobo$34bo25b64o3b4obobobobobobobob
obobo2bo3bobo$35bobo20bo65b4o2bobobobobobobobobobob2obo2bo2b2o$35bo22b
66o3bob2obobobobobobobobobobo2bobobo3bo$37bo18bo67b3o3bobobobobobobobo
bobobobobob3ob2o$35b3o18b68o4b2o2bobobobobobobobobobobo4bo$34bo2b2o15b
o69b3o3bobobobobobobobobobobob4obo$34b3obo15b70o2b4o2bo2bo3bo5bo3bo5bo
b3o$33bo18bo65bo2bo2b2o2bo3bo21bo5bo$32b3o17b64o8bo4b2ob2o21b3obo$31b
3o2bo13bo65bo5bobo3bo3bo2bo21b2o$32bo17b66o4b3ob3o2b2obob2o$33b4o11bo
70bo3bo2b2o2b3o$33bo14b66o6b2obo2b2o2bo2b3o$35b2o9bo67bo6bob2o3bob3o2b
o$35b4obo5b68o7bo5b2o4b2o$38b2obo2bo77bob5o3bo$40b2o2b47ob20o9b2obo2bo
2bobo$41b2o47bobo19bo12b4obobob2o$42b48o3b19o17b2obob2o$104bo2bo15b4ob
obobo$40b48o3bo3b8o6b3o11bo2bobobobo$39b2o47bobobobo8b6o2bo15b2ob2o$
38b2obobob3o2b4o2b4o2b4o2b4o2b4o2b4ob4obobob4ob3obo5bobobo$37b3obo4b2o
bo2b2obo2b2obo2b2obo2b2obo2b2obo2b2o6bobo6b2o2b2o3bo2b2obo$38b2o5bo5bo
5bo5bo5bo5bo5bo5b2obobob2o5bo5bobo4bo$39bo3bo45b2ob2o11b2ob5ob2o$40bo
45bo4bo4bo5bo6bo2bo2bo$41bo3bo40bob2obob2obo6b5o4bobo$36b6o3b2o43bobo
14bobo3bo$35b5obo3b2o41bobobobo8b2o3b2o$34b2ob3o6b2o36b2obo2bobo2bob2o
4b2o$35b2o5b2o3b3o34b2o2bobobobo2b2o$43b4obobo39bobo$42bo3b2o2bo3b2o
33bo3bo$41b2obo6b6o$40bob2ob5obob4o31b2o3b2o$40bo2b2o4bo37bo7bo$40b2o
4bo3b3o34b4ob4o$46bo$42b2o44bobobobo$81bo3b3o2bobo2b3o3bo$80bobobobob
2o3b2obobobobo$80bobobo3bo5bo3bobobo$81bobo3bo2b3o2bo3bobo$83bobo4b3o
4bobo$83b2o6bo6b2o$90bobo$86bo2bobobo2bo$86b4obob4o$90b3o$88bo5bo$87bo
b2ob2obo$87bo7bo$85bobob2ob2obob2o$84bobo3bobo3bobo$84bo2b2o5b2o$85b2o
2bo3bo$88bobobob2o$85b3obobobo2bo$85bo3bo3bob2o$86bobobo2bo$87b2obo2bo
b2o$89bobobobo$89bobobobo$90b2ob2o!

Now you may ask what you've gained against the previous approach! Simply, we don't need a true 4c/8 component on the upper right, but only a 2c/4. Which seems easier due to the halved period. I didn't find one so far, but would encourage others to try as well.

Needless to say that any such component would also complete my against the grain carpet layer pattern from the c/2 grey ship thread.

Keep the cheer,
Hartmut