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Re: Life from Images ?
Posted: February 23rd, 2012, 7:52 am
by Wojowu
Pilou wrote: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!
Re: Life from Images ?
Posted: February 23rd, 2012, 8:12 am
by 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!
Re: Life from Images ?
Posted: February 23rd, 2012, 9:16 am
by 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
Re: Life from Images ?
Posted: February 26th, 2012, 8:04 pm
by 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$20o!
Next time better result and maxi generations !
Re: Life from Images ?
Posted: February 27th, 2012, 6:22 am
by Pilou
Code: Select all
x = 19, y = 10, rule = B3/S23
19o$obo3bob2obo3bob2o$ob2o2bob2ob2ob2o2bo$o2b4obo2b2obo2b2o$ob2ob2obob
9o$3o3bob3ob3ob3o$ob2ob6obo3bobo$o2b3obob2obob3obo$2o2b2o3bo2b3o3bo$
19o!
Negative 12 pentominos in 19*10
18 *10 seems impossible for the moment
Re: Life from Images ?
Posted: February 27th, 2012, 8:37 am
by 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!
Re: Life from Images ?
Posted: February 28th, 2012, 9:43 am
by 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!
Re: Life from Images ?
Posted: July 23rd, 2012, 4:53 pm
by 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.