HartmutHolzwart wrote: ↑March 24th, 2022, 2:54 am
I recognize that the back part of that ships is purely c/3 (i.e. p3)! Is that by chance / lucky coincidence or intentional?
Code: Select all
x = 49, y = 29, rule = B3/S23
13b2o19b2o$11b2o2bo17bo2b2o$7b3ob2o7bo7bo7b2ob3o$6bo6b3o4b2o5b2o4b3o6b
o$7b2o2b2ob2o4bob2ob2obo4b2ob2o2b2o$10bo4bob2o3b2ob2o3b2obo4bo$18bob2o
5b2obo$12bobo3bobob5obobo3bobo$9b2obo3b2obo2bobobo2bob2o3bob2o$9b2o27b
2o$11bo5bobobo5bobobo5bo$7bo3bo5bo2bo7bo2bo5bo3bo$7b2obo9bob2ob2obo9bo
b2o$2bo5bobob2o4bobob2ob2obobo4b2obobo5bo$b4obo3bo7bo3b2ob2o3bo7bo3bob
4o$o3bo3bobobo4bo13bo4bobobo3bo3bo$obobo2bobobo7b2o7b2o7bobobo2bobobo$
b3o3bobob2o23b2obobo3b3o$2bo6bo2bo23bo2bo6bo$6b2ob4o23b4ob2o$8bobo27bo
bo$6bo35bo$4b2o37b2o$4b3o35b3o$3bo41bo$7bo33bo$3bo2b2ob3o25b3ob2o2bo$
3bob4o3bo23bo3b4obo$3bob2o3b2o25b2o3b2obo!
This gives the option for finding alternative back ends with p3 searches, comptutationally much less extensive. I guess you've done that already?!
Steps of my search:
1. I ran LSSS search for 2c/6 spaceship (with some tricks to exclude alternative frontends). One of the latest partials is this:
Code: Select all
x = 52, y = 29, rule = B3/S23
49b3o$39bo9bo$26bo5bo4bo3bo6bo2bo$16b2o5b2ob6ob2o2b2o3bo6b2o$23b2o6bob
o3bo2b3o6b2o$14b2o2bo4b2o9bo2bo3bo5b2o$13bo6b2o4bo2b5o6bo5b3o$11b2o5b
2o5bo5bo2bobo4b2o4b2o$9b2ob3o3b2obo2bobob2o2b3o4bo2b2o$13b3o4bo2b2obob
2o2b3o2b2o4bo$8bo6bo6bobo2b2o$8bo5bo2bo2b3o$2bobo3bo3bo2b3obo5bo$bob2o
3bo3bo3b2ob2o$o2bo4bo3bo9bo2bo$bob2o3bo3bo3b2ob2o$2bobo3bo3bo2b3obo5bo
$8bo5bo2bo2b3o$8bo6bo6bobo2b2o$13b3o4bo2b2obob2o2b3o2b2o4bo$9b2ob3o3b
2obo2bobob2o2b3o4bo2b2o$11b2o5b2o5bo5bo2bobo4b2o4b2o$13bo6b2o4bo2b5o6b
o5b3o$14b2o2bo4b2o9bo2bo3bo5b2o$23b2o6bobo3bo2b3o6b2o$16b2o5b2ob6ob2o
2b2o3bo6b2o$26bo5bo4bo3bo6bo2bo$39bo9bo$49b3o!
2. I recognized that p3 component can potentially convert the bullet heptomino to banana spark.
JLS returned these partials:
Code: Select all
x = 31, y = 22, rule = B3/S23
10bo18bo$9b3o16b3o$2ob3o3b3o16b3o$2o3bob2o16b3o$4obo3bo18bo$3bobo4bo9b
ob3o2bo$2bo2bo4bo8b4o2bo$2o16bo4bo$2b2o2b3o19bo$2b2o3bobo12b2o3b4o$5bo
3b2o9b2o2bobo3bo$2o9bo14bo3bo$bo9bo18bo$o10bo$bo7bobo$7b3o$6bo2bo$5bo
4bo$9bo$4bob2o$3b2o2b2o$ob3o5bo!
But it's impossible to insert T-tetromino.
3. After applying additional conditions, I found this:
Code: Select all
x = 10, y = 23, rule = B3/S23
7b3o$8bo$5bo$3b4o$obo3b2o$o5b2o$2o2bo$ob3o$b2obob2o$o3bob2o2$4b2o$o3bo
b2o$b2o2bobo$o4b2o$b3obo$2obo$6b2o$4o2b2o$2b2ob2o$obo3b2o$2bobo$o!
I failed to extend partial from right to left, so I tried to put two components together in symmetric way:
Code: Select all
x = 37, y = 15, rule = B3/S23
7b2o19b2o$5b2o2bo17bo2b2o$b3ob2o23b2ob3o$o6b3o17b3o6bo$b2o2b2ob2o17b2o
b2o2b2o$4bo4bob2o11b2obo4bo$12bo11bo$6bobo3bobo7bobo3bobo$3b2obo2bo3b
3o5b3o3bo2bob2o$3b2o7b2obo5bob2o7b2o$3b2o5b2o3b2o3b2o3b2o5b2o$4b2o2b7o
b2ob2ob7o2b2o$5bobo6bo3bo3bo6bobo$4bo6bob2obo3bob2obo6bo$4bobo23bobo!
4. My first solution:
Code: Select all
x = 49, y = 125, rule = B3/S23
24bo$23bobo$22bo3bo$23b3o$22b2ob2o4$20b9o$18bo11bo$18bo11bo$17bo13bo$
17b2o3b5o3b2o$16bob2o9b2obo$15bo2b2obo5bob2o2bo$15bo3b2obo3bob2o3bo$
13bo8b2ob2o8bo$13bo7b3ob3o7bo$15bob2o11b2obo$17b2o3b2ob2o3b2o$16bo2bob
obobobobo2bo$16bobo2bo5bo2bobo$20b2o2bo2b2o$13b3o3bo9bo3b3o$13b3o2b3o
7b3o2b3o$17bo4bobobo4bo$12b2o2bob2o9b2obo2b2o$13bo6bo7bo6bo$13bo4b3o7b
3o4bo$13bo2bob2o9b2obo2bo$13bo2bo15bo2bo$13b2ob2o13b2ob2o$12bo3bob2o9b
2obo3bo$13b2obob2o9b2obob2o$13bobob3o9b3obobo2$17bo13bo$12b4o3bo9bo3b
4o$13bo5bo9bo5bo$11bo6bo11bo6bo$14bobo15bobo$12bob2obo13bob2obo$13b2o
2b2o11b2o2b2o$18b2o9b2o3$16bo15bo$15b3o13b3o$15b3o13b3o$13b2o19b2o$11b
2o2bo17bo2b2o$7b3ob2o7bo7bo7b2ob3o$6bo6b3o4b2o5b2o4b3o6bo$7b2o2b2ob2o
4bob2ob2obo4b2ob2o2b2o$10bo4bob2o3b2ob2o3b2obo4bo$18bob2o5b2obo$12bobo
3bobob5obobo3bobo$9b2obo3b2obo2bobobo2bob2o3bob2o$9b2o27b2o$11bo5bobob
o5bobobo5bo$7bo3bo5bo2bo7bo2bo5bo3bo$7b2obo9bob2ob2obo9bob2o$2bo5bobob
2o4bobob2ob2obobo4b2obobo5bo$b4obo3bo7bo3b2ob2o3bo7bo3bob4o$o3bo3bobob
o4bo13bo4bobobo3bo3bo$obobo2bobobo7b2o7b2o7bobobo2bobobo$b3o3bobob2o
23b2obobo3b3o$2bo6bo2bo23bo2bo6bo$6b2ob4o23b4ob2o$8bobo27bobo$6bo35bo$
4b2o37b2o$4b3o35b3o$6b2obo29bob2o$6bo2bo29bo2bo$5b2ob2o29b2ob2o$7bo33b
o$8bo31bo$5b4o31b4o$5b5o29b5o$3bobo3b2o27b2o3bobo$2bo3bo4b3o21b3o4bo3b
o$b2obobo3b2o2bo19bo2b2o3bobob2o$o2bo2bob2obo2bo19bo2bob2obo2bo2bo$bo
4bob2ob2o23b2ob2obo4bo$5bo2bobo27bobo2bo$10b3o23b3o$6bo4b3o21b3o4bo$6b
2obo3b2o19b2o3bob2o$4bob2o5bo21bo5b2obo$3bobob2o4b2o19b2o4b2obobo$2bo
5bo31bo5bo$3b2o39b2o$6bobo31bobo$7bo33bo$7bo33bo$6bo35bo$4bo39bo$3b2o
39b2o$b2o3b3ob2o25b2ob3o3b2o$b2o3bo3b2o25b2o3bo3b2o$obo6bo2bo23bo2bo6b
obo$o47bo$4bo39bo$bob2o39b2obo$6bo35bo$5b4o31b4o$3b2o3b2o29b2o3b2o$3b
2obo3bo27bo3bob2o$4bobo35bobo$3b3ob2o31b2ob3o$9bo29bo$10b2o25b2o$6b2o
33b2o$3b3o3bobo25bobo3b3o$2b2obo4bo27bo4bob2o$2o8bo27bo8b2o$bo8bo27bo
8bo$o47bo$bo3bob2obo27bob2obo3bo$4b2ob2ob2o25b2ob2ob2o$3bo2b2o4b2o21b
2o4b2o2bo$12bo23bo$6bobo4bo21bo4bobo$7bo4bo23bo4bo!
Then I posted reductions of this spaceship.
2 more stabilizations of p3 part (likely useless):
Code: Select all
x = 83, y = 57, rule = B3/S23
7b2o19b2o23b2o19b2o$5b2o2bo5b2o3b2o5bo2b2o19b2o2bo5b2o3b2o5bo2b2o$b3ob
2o7bob2ob2obo7b2ob3o11b3ob2o7bob2ob2obo7b2ob3o$o6b3o4bob2ob2obo4b3o6bo
9bo6b3o4bob2ob2obo4b3o6bo$b2o2b2ob2o4b2o2bo2b2o4b2ob2o2b2o11b2o2b2ob2o
4b2o2bo2b2o4b2ob2o2b2o$4bo4bob2o2bo5bo2b2obo4bo17bo4bob2o2bo5bo2b2obo
4bo$12bo3bo3bo3bo33bo3bo3bo3bo$6bobo3b3o3bo3b3o3bobo21bobo3b3o3bo3b3o
3bobo$3b2obo2bo3bo2bo3bo2bo3bo2bob2o15b2obo2bo3bo2bo3bo2bo3bo2bob2o$3b
2o8bo9bo8b2o15b2o8bo9bo8b2o$3b2o10bo2bo2bo10b2o15b2o10bo2bo2bo10b2o$4b
2o9bobobobo9b2o17b2o9bobobobo9b2o$4bo2bo6b4ob4o6bo2bo17bo2bo6b4ob4o6bo
2bo$7bo5b2o7b2o5bo23bo5b2o7b2o5bo$3bo4bo8b3o8bo4bo15bo4bo8b3o8bo4bo$3b
o2bo2b2o2b2obobobob2o2b2o2bo2bo15bo2bo2b2o2b2obobobob2o2b2o2bo2bo$2bob
ob4o8bo8b4obobo13bobob4o8bo8b4obobo$3bo2bo2bo6bo3bo6bo2bo2bo15bo2bo2bo
6bo3bo6bo2bo2bo$5bob2o8bobo8b2obo19bob2o8bobo8b2obo$5bobo2b3ob2o5b2ob
3o2bobo19bobo2b3ob2o5b2ob3o2bobo$2b2obobo3b2ob2o5b2ob2o3bobob2o13b2obo
bo3b2ob2o5b2ob2o3bobob2o$2bo2bo3bo4bob5obo4bo3bo2bo13bo2bo3bo4bob5obo
4bo3bo2bo$2b4o3bo4bo2bobo2bo4bo3b4o13b4o3bo4bo2bobo2bo4bo3b4o$4bob2o9b
obo9b2obo17bob2o9bobo9b2obo$13bo9bo35bo9bo$10bob3o7b3obo29bob3o7b3obo$
9bob2o2bo5bo2b2obo27bob2o2bo5bo2b2obo$8bo3bo3b2ob2o3bo3bo25bo3bo3b2ob
2o3bo3bo$2b2o7bo5bobo5bo7b2o13b2o7bo5bobo5bo7b2o$2b2ob2obo8bobo8bob2ob
2o13b2ob2obo8bobo8bob2ob2o$bo3bobobo5bobobobo5bobobo3bo11bo3bobobo5bo
5bo5bobobo3bo$5bo3bob2obo7bob2obo3bo19bo3bob2o2bo5bo2b2obo3bo$6bo2bob
2obobobobobob2obo2bo21bo2bob2o4bobo4b2obo2bo$10bob2o9b2obo29bobo5bo5bo
bo$16b5o43bo$64bo2$18bo40bob2obo$17b3o38b2ob2ob2o$17b3o37bo2b2o4b2o$
17bobo46bo$60bobo4bo$14b4ob4o38bo4bo$13b2ob2ob2ob2o$9b3obo4bo4bob3o$8b
o5bo2b3o2bo5bo$9bo2b3o7b3o2bo$12bobobo3bobobo$14bo7bo$11b2obob2ob2obob
2o$14bob2ob2obo$14b2o5b2o$12bo3bo3bo3bo$11bo5bobo5bo$11bo5b3o5bo$13bob
2obob2obo$11b2o11b2o!
I'm still running LSSS for p6 search. Latest partial result:
Code: Select all
x = 55, y = 29, rule = B3/S23
31b2o$26bo4b4o3bo13bo$24b3o4b5ob4o9b2o$16b2o6b2o7bo15bo$22b2ob2o8bobob
2o2b2o5bob2o$14b2o2bo2bo2bo2b3ob2o5bobob4o4bobo$11bobo7b2obo2b2obo5b2o
2b6obo3bobo$10bo2bo4b3o3b2o2b2o4bob3o3bo2b3o$10b2o2bo3b2o3b3o2b5obobo
4b3obo$10b2o8bo6bo4bo4b2o5bo$9bo6bo4bobobobobo4bo$9bo3b2obo3bob2obobob
o$2bobo2b2o4bobo5bobo$bo2bob3o8b6o$o5b3o13bo$bo2bob3o8b6o$2bobo2b2o4bo
bo5bobo$9bo3b2obo3bob2obobobo$9bo6bo4bobobobobo4bo$10b2o8bo6bo4bo4b2o
5bo$10b2o2bo3b2o3b3o2b5obobo4b3obo$10bo2bo4b3o3b2o2b2o4bob3o3bo2b3o$
11bobo7b2obo2b2obo5b2o2b6obo3bobo$14b2o2bo2bo2bo2b3ob2o5bobob4o4bobo$
22b2ob2o8bobob2o2b2o5bob2o$16b2o6b2o7bo15bo$24b3o4b5ob4o9b2o$26bo4b4o
3bo13bo$31b2o!