Life from Images ?

[Wojowu]

Not exactly image but another way : the 12 famous pentaminos inside the 20 * 20

here 2086 generations

Code: Select all

x = 20, y = 20, rule = B3/S23
2b3o$3bo$3bo3$5b2o$6b3o3$2b2o$3b2o6b2o5bo$3bo7bo5b3o$10b2o6bo2$6b2o7b
4o$7b2o9bo$4bo3bo3b3o$2o2b2o6bo$2o2bo7bo4bobo$o3bob5o6b3o!

Congratulations for MWSS on gen 927.
PS. It stays 2158 generations
PPS. Two pentominos die almost instantly, and they can be deleted

Code: Select all

x = 20, y = 20, rule = B3/S23
2b3o$3bo$3bo3$5b2o$6b3o3$2b2o$3b2o13bo$3bo13b3o$18bo2$6b2o7b4o$7b2o9bo
$4bo3bo3b3o$2o2b2o6bo$2o2bo7bo$o3bob5o!

[Pilou]

Funny thing

12 pentaminos again
Some pieces are not "reversible", so maybe variations can be arrived!

Here 2800 generations

Code: Select all

x = 20, y = 16, rule = B3/S23
b3o3bo$2bo4bo$2bo3b2o$6bo2$2b2o$3b2o13bo$3bo7b2o4b3o$6b2o4bo5bo$7b2o3b
2o$8bo6b4o$18bo$4bo7b3o$2o2b2o6bo$2o2bo7bo4bobo$o3bob5o6b3o!

[Pilou]

Two pentominos die almost instantly, and they can be deleted

Yes in this first try, but in another positions they can have influence around

[Pilou]

The negative "12 pentaminos"
No generation here just a little headache
Maybe can exist in 19 * 10 even surelly very difficult 18 * 10 (with total white squares around black negative pantominos!
Have fun puzzling!

Code: Select all

x = 20, y = 10, rule = B3/S23
20o$o2bo2b4ob2o3bob2o$o2b2o3bo3b2ob2o2bo$ob8ob3obo2b2o$3o2b15o$ob2o2bo
bob4ob5o$o2b2obo3bo2bob3obo$ob9ob2ob3obo$obo5b2o2bo2bo3bo$20o!

Next time better result and maxi generations !

[Pilou]

Code: Select all

x = 19, y = 10, rule = B3/S23
19o$obo3bob2obo3bob2o$ob2o2bob2ob2ob2o2bo$o2b4obo2b2obo2b2o$ob2ob2obob
9o$3o3bob3ob3ob3o$ob2ob6obo3bobo$o2b3obob2obob3obo$2o2b2o3bo2b3o3bo$
19o!

Negative 12 pentominos in 19*10
18 *10 seems impossible for the moment

[Pilou]

This last one 1892 generations for Negative 12 pentominos 19 *10

Code: Select all

x = 19, y = 10, rule = B3/S23
19o$obo3bob2obo3bob2o$ob2o2bob2ob2ob2o2bo$o2b4obo2b2obo2b2o$ob2ob2obob
9o$3o3bob3ob3ob3o$ob2ob6obo3bobo$o2b3obob2obob3obo$2o2b2o3bo2b3o3bo$
19o!

[Pilou]

Finally one 18*10 of 12 negative pentaminos! Last headache because seems not possible in 17 * 10 !
and 2024 Generations and one LWSS producted at 1365 right up

Code: Select all

x = 18, y = 10, rule = B3/S23
18o$2obo3bob3o5bo$o2bobobo3b7o$ob7ob3obo2bo$ob2ob2ob3o3b2obo$3o3bo3b3o
b2obo$ob2ob4obob4obo$o2b3o2b3ob2ob3o$2o2bo3bo3bo4bo$18o!

[apg]

Last headache because seems not possible in 17 * 10 !

By considering half-tiles, we can fit the negative pentominos in a box of dimensions x*y only if (x-1)(y-1) >= 143. For 17*10, we have 144 >= 143, so this argument does not immediately disprove the existence of such a packing. However, the bound is very tight, and means that you're allowed no more than one 2*2 'block' of non-polyomino-ness.

Hence, I am inclined to agree with you.