Forums for Conway's Game of Life
https://conwaylife.com/forums/
I saw the former in a soup, but then my device ran out of battery right before I could post it.Bullet51 wrote:PkmnQ wrote:Code: Select all
x = 4, y = 4, rule = B4w/S2ek3jr4i b3o$o2bo$o2bo$3o!FIX:Code: Select all
x = 9, y = 3, rule = B4w/S2ek3jr4i 3o2b4o$obo2bo2bo$3o2b4o!Code: Select all
x = 4, y = 4, rule = B4w7e8/S2ek3jr4i b3o$o2bo$o2bo$3o!
Code: Select all
x = 9, y = 2, rule = B4w7e8/S2ek3jr4i
3ob3obo$ob3ob3o!Code: Select all
x = 6, y = 6, rule = B4w7e8/S2ek3jr4i
4b2o$4bo$4b2o$5bo$3ob2o$ob3o!Code: Select all
x = 9, y = 9, rule = B4w7e8/S2ek3jr4i
b3ob3o$2ob3ob2o$o7bo$2o5b2o$bo5bo$2o5b2o$o7bo$2ob3ob2o$b3ob3o!Code: Select all
x = 4, y = 4, rule = B4w5i7e8/S2ek3jr4i
b3o$o2bo$o2bo$3o!Code: Select all
x = 4, y = 4, rule = B4w5i7e8/S2ek3jr4i
4o$o2bo$o2bo$4o!Code: Select all
x=0,y=0,rule=b3/s2-c
3o!
Counterexample:tommyaweosme wrote: May 18th, 2024, 9:34 am after 4+ years
is there anything else?Code: Select all
x=0,y=0,rule=b3/s2-c 3o!
Code: Select all
x = 2, y = 4, rule = B3/S2-c
bo$2o$2o$o!
Code: Select all
x = 2, y = 4, rule = B3/S2-c4a
bo$2o$2o$o!
Code: Select all
x = 1, y = 1, rule = B/S0
o!
Code: Select all
x = 32, y = 16, rule = B3/S2-c4a
23b2o$22bo2bo$22bo2bo$9b2o9b2o4b2o$8bo2bo7bo8bo$8bo2bo7bo8bo$b2o3b2o4b
2o3b2o10b2o$o2bobo8bobo14bo$o2bobo8bobo14bo$b2o3b2o4b2o3b2o10b2o$8bo2b
o7bo8bo$8bo2bo7bo8bo$9b2o9b2o4b2o$22bo2bo$22bo2bo$23b2o!
Code: Select all
x = 32, y = 16, rule = B34w/S2-c4a
23b2o$22bo2bo$22bo2bo$9b2o9b2o4b2o$8bo2bo7bo8bo$8bo2bo7bo8bo$b2o3b2o4b
2o3b2o10b2o$o2bobo8bobo14bo$o2bobo8bobo14bo$b2o3b2o4b2o3b2o10b2o$8bo2b
o7bo8bo$8bo2bo7bo8bo$9b2o9b2o4b2o$22bo2bo$22bo2bo$23b2o!
Code: Select all
x = 32, y = 16, rule = B34w/S2-ck4a
23b2o$22bo2bo$22bo2bo$9b2o9b2o4b2o$8bo2bo7bo8bo$8bo2bo7bo8bo$b2o3b2o4b
2o3b2o10b2o$o2bobo8bobo14bo$o2bobo8bobo14bo$b2o3b2o4b2o3b2o10b2o$8bo2b
o7bo8bo$8bo2bo7bo8bo$9b2o9b2o4b2o$22bo2bo$22bo2bo$23b2o!
Code: Select all
x = 12, y = 4, rule = B34w/S2-ck4a
9b2o$9bo$3o8bo$10b2o!Code: Select all
x = 12, y = 4, rule = B34qw/S2-ck4a
9b2o$9bo$3o8bo$10b2o!Code: Select all
x = 19, y = 4, rule = B34qw/S2-ck4a
bo2bo10b3o$bo2bo$bo2bo$bo2bo!Code: Select all
x = 9, y = 3, rule = B34qw/S2-ck4a5i
2o$2o4b3o$2o!B3/S2-c - B34qw/S2-ck4aeRroR_6o6 wrote: May 18th, 2024, 11:00 pm I think this rule belongs in Not Lonely.
Here's the unfixable counterexample:
The only transitions you can add to fix it while preserving the blinker are S3a and S5i. Adding S3a is not going to work because of the (unfixable) block counterexample, so you would add S5i. However, look what happens when you add S5i:Code: Select all
x = 19, y = 4, rule = B34qw/S2-ck4a bo2bo10b3o$bo2bo$bo2bo$bo2bo!
Now there's another counterexample you need to fix. The only transitions you can add/remove to fix it while preserving the blinker are S3a or removing S5i. Adding S3a is still not going to work because of the block, but removing S5i would bring us back to the original rule. So the counterexample is unfixable.Code: Select all
x = 9, y = 3, rule = B34qw/S2-ck4a5i 2o$2o4b3o$2o!
Edit: Also, when are threads for Not Lonely and Mostly Empty going to be made?
We have infinite counterexamples:
Code: Select all
x = 15, y = 5, rule = B3i/S2i
3o5b3o$3bo7bo$3bo7bo$3bo7bo$12b3o!
Code: Select all
x = 20, y = 5, rule = B3i4w/S2i
3o3b3o4b3o$9bo6bo$9bo6bo$9bo6bo$17b3o!This P4 still exists:b-engine wrote: May 19th, 2024, 9:00 am Don't worry, B4w fixes this:Code: Select all
x = 20, y = 5, rule = B3i4w/S2i 3o3b3o4b3o$9bo6bo$9bo6bo$9bo6bo$17b3o!
Code: Select all
x = 4, y = 4, rule = B3i4w/S2i
o2bo$o2bo$o2bo$o2bo!Code: Select all
x=0,y=0,rule=b2c/s
obo!Counterexample:tommyaweosme wrote: May 19th, 2024, 11:33 am why dont i just...try to find a counter example now! >:DCode: Select all
x=0,y=0,rule=b2c/s obo!
Code: Select all
x = 7, y = 1, rule = B2c/S
obobobo!In fact, there is an infinite number of counterexamples.hotcrystal0 wrote: May 19th, 2024, 12:35 pmCounterexample:tommyaweosme wrote: May 19th, 2024, 11:33 am why dont i just...try to find a counter example now! >:DCode: Select all
x=0,y=0,rule=b2c/s obo!Code: Select all
x = 7, y = 1, rule = B2c/S obobobo!
Code: Select all
x = 2, y = 2, rule = B2e3i/S2n5c6n
bo$o!Code: Select all
x = 47, y = 43, rule = B3i/S2i
3bobo4b2o11b2o2b2obo2bob4obo4bo$2bob2o2b2o2bobobo4b2o3bo2b3o3b2obo3b3o
$o2b6o2b3obo6b5ob2obobo5bo2bobo$3o2bo3b2ob3ob6o2bo3b3ob2obo3bob3o2bo$
b2o2b2obo5bobo3b2ob3o2b2obo6bo3b2obo$2b2o2bo4bo3bo3b2o3b2o7bobob4o4bo
$2ob2obo2b2o2b13o2b4o5b2ob2ob3o$3b2o2bob2o2b3obo3b5o2b2ob2o3bob4obobo
$3bob5obo2bo5bob7o2b2o2bo2bo5bo$o2b3ob3obob2o2b3ob3o4b2o4bobo2bo5bo$2b
4o5bo3bo2b5obo3b2obo2b8o2bo$b6o3b2ob2o4bobobobob5o2b2o2bobo2bobo$o2b3o
6bob4o3bob7ob2o5bob2ob2o$o2b3obobo2bo3bobob2o2b2ob2obob2o2bob2o2b2o$2b
o2bobobob3obo2bo9b3obobo3b2o2b2obo$4bo5b6o3bobo3bob3ob3o2b5ob2obo$obo
b2o2b3o5b2obo3bo3b2o2b3ob2ob3o3bo$2bo2b2obo3bo2b2obob2obo2bo3bob5ob3o
2b2o$4bo2bob3obo4bobobo2b2o4bo5bo3b2o2b2o$3obobob2o3bo2bo2b2o2bobo2bo
b2o2bob3o4b4o$3o2bo3bo5bobo2b2obo2b3ob2o6bo3b2o2bo$b3ob2o2b4o2bo5bob4o
bo2bo2b2o2bobobob2o$bob4obo2bob2obob3o2b3o2b6o2b2o2bo2bobo$2bo3bob2ob
obo3b5obo4bobo2b2o5bo4bo$3obob4o2bob4o2b2o2bo2bo2bob2o6bo3b2o$2o2bobo
bo2b2o3b2o2b3o4b3obobo2bo2b2ob4o$5o3bob3obob2ob4o2b2ob2ob2ob4o2b2ob3o
$o3b2o4b2o2bobobobo3bob7ob2ob3ob2o3bo$obo2b3o2b4o2b2ob3o2b5o3b4o2b5ob
3o$4b2ob4o4bo3bobobob3o2b3o7bob3o$ob3ob2o2bo4bo2b2o2b3obobobo5b7o$3o5b
2ob2o3b5o2bob4o2bob2ob2ob2ob2ob2o$bobobo2b3ob3o2bo4b2o5b5ob2ob3ob2ob2o
$o8bob3ob2o3b2obo4b2o2b10o2bo$2ob2ob2obo4bobob3o2bob3ob4o4bo2bo2bo$2o
b4ob2o3b2ob2o2b5ob4o2b4obob2obo$obob4o2b3obo4bo2b2ob5o2b3obob2o3b3o$4b
ob2o5b2obo4bob4obo2bob4o3bobo2bo$2o2b3o2b2o2b2o3b2ob3o3b4ob2ob3o4b2o$
ob2ob7obo2bob2obobob6obo2bo2bo2b5o$2bob9o2bobo5b5obob3o2bo2b5o2bo$ob2o
2b2o2bobo2bo3b3o5b2o4bobo2bo3b2ob2o$o3bo3bobobobob2ob2o6b2o4bo2b3o3b2o
!
It is posted before.Haycat2009 wrote: May 20th, 2024, 5:10 amIs this posted before? And are there counter examples?Code: Select all
x = 47, y = 43, rule = B3i/S2i 3bobo4b2o11b2o2b2obo2bob4obo4bo$2bob2o2b2o2bobobo4b2o3bo2b3o3b2obo3b3o $o2b6o2b3obo6b5ob2obobo5bo2bobo$3o2bo3b2ob3ob6o2bo3b3ob2obo3bob3o2bo$ b2o2b2obo5bobo3b2ob3o2b2obo6bo3b2obo$2b2o2bo4bo3bo3b2o3b2o7bobob4o4bo $2ob2obo2b2o2b13o2b4o5b2ob2ob3o$3b2o2bob2o2b3obo3b5o2b2ob2o3bob4obobo $3bob5obo2bo5bob7o2b2o2bo2bo5bo$o2b3ob3obob2o2b3ob3o4b2o4bobo2bo5bo$2b 4o5bo3bo2b5obo3b2obo2b8o2bo$b6o3b2ob2o4bobobobob5o2b2o2bobo2bobo$o2b3o 6bob4o3bob7ob2o5bob2ob2o$o2b3obobo2bo3bobob2o2b2ob2obob2o2bob2o2b2o$2b o2bobobob3obo2bo9b3obobo3b2o2b2obo$4bo5b6o3bobo3bob3ob3o2b5ob2obo$obo b2o2b3o5b2obo3bo3b2o2b3ob2ob3o3bo$2bo2b2obo3bo2b2obob2obo2bo3bob5ob3o 2b2o$4bo2bob3obo4bobobo2b2o4bo5bo3b2o2b2o$3obobob2o3bo2bo2b2o2bobo2bo b2o2bob3o4b4o$3o2bo3bo5bobo2b2obo2b3ob2o6bo3b2o2bo$b3ob2o2b4o2bo5bob4o bo2bo2b2o2bobobob2o$bob4obo2bob2obob3o2b3o2b6o2b2o2bo2bobo$2bo3bob2ob obo3b5obo4bobo2b2o5bo4bo$3obob4o2bob4o2b2o2bo2bo2bob2o6bo3b2o$2o2bobo bo2b2o3b2o2b3o4b3obobo2bo2b2ob4o$5o3bob3obob2ob4o2b2ob2ob2ob4o2b2ob3o $o3b2o4b2o2bobobobo3bob7ob2ob3ob2o3bo$obo2b3o2b4o2b2ob3o2b5o3b4o2b5ob 3o$4b2ob4o4bo3bobobob3o2b3o7bob3o$ob3ob2o2bo4bo2b2o2b3obobobo5b7o$3o5b 2ob2o3b5o2bob4o2bob2ob2ob2ob2ob2o$bobobo2b3ob3o2bo4b2o5b5ob2ob3ob2ob2o $o8bob3ob2o3b2obo4b2o2b10o2bo$2ob2ob2obo4bobob3o2bob3ob4o4bo2bo2bo$2o b4ob2o3b2ob2o2b5ob4o2b4obob2obo$obob4o2b3obo4bo2b2ob5o2b3obob2o3b3o$4b ob2o5b2obo4bob4obo2bob4o3bobo2bo$2o2b3o2b2o2b2o3b2ob3o3b4ob2ob3o4b2o$ ob2ob7obo2bob2obobob6obo2bo2bo2b5o$2bob9o2bobo5b5obob3o2bo2b5o2bo$ob2o 2b2o2bobo2bo3b3o5b2o4bobo2bo3b2ob2o$o3bo3bobobobob2ob2o6b2o4bo2b3o3b2o !
Yes, and there're counterexamples:Haycat2009 wrote: May 20th, 2024, 5:10 amIs this posted before? And are there counterexamples?Code: Select all
x = 47, y = 43, rule = B3i/S2i !
b-engine wrote: May 19th, 2024, 9:00 amWe have infinite counterexamples:Don't worry, B4w fixes this:Code: Select all
x = 15, y = 5, rule = B3i/S2i 3o5b3o$3bo7bo$3bo7bo$3bo7bo$12b3o!Code: Select all
x = 20, y = 5, rule = B3i4w/S2i 3o3b3o4b3o$9bo6bo$9bo6bo$9bo6bo$17b3o!
Now try this:hotcrystal0 wrote: May 19th, 2024, 11:29 amThis P4 still exists:b-engine wrote: May 19th, 2024, 9:00 am Don't worry, B4w fixes this:Code: Select all
x = 20, y = 5, rule = B3i4w/S2i 3o3b3o4b3o$9bo6bo$9bo6bo$9bo6bo$17b3o!Code: Select all
x = 4, y = 4, rule = B3i4w/S2i o2bo$o2bo$o2bo$o2bo!
Code: Select all
x = 0, y = 0, rule = B01c/S2e3aij5i
!
#C [[ RANDOMIZE ]]
Strobing rules aren't allowed.b-engine wrote: May 20th, 2024, 6:31 amYes, and there're counterexamples:Haycat2009 wrote: May 20th, 2024, 5:10 amIs this posted before? And are there counterexamples?Code: Select all
x = 47, y = 43, rule = B3i/S2i !b-engine wrote: May 19th, 2024, 9:00 amWe have infinite counterexamples:Don't worry, B4w fixes this:Code: Select all
x = 15, y = 5, rule = B3i/S2i 3o5b3o$3bo7bo$3bo7bo$3bo7bo$12b3o!Code: Select all
x = 20, y = 5, rule = B3i4w/S2i 3o3b3o4b3o$9bo6bo$9bo6bo$9bo6bo$17b3o!Now try this:hotcrystal0 wrote: May 19th, 2024, 11:29 amThis P4 still exists:b-engine wrote: May 19th, 2024, 9:00 am Don't worry, B4w fixes this:Code: Select all
x = 20, y = 5, rule = B3i4w/S2i 3o3b3o4b3o$9bo6bo$9bo6bo$9bo6bo$17b3o!Code: Select all
x = 4, y = 4, rule = B3i4w/S2i o2bo$o2bo$o2bo$o2bo!Code: Select all
x = 0, y = 0, rule = B01c/S2e3aij5i ! #C [[ RANDOMIZE ]]
The rules didn't said that. Search here for either strobing or B0 yield no results about the rules.
None of the objects are stable in B0 rules.b-engine wrote: May 20th, 2024, 6:51 amThe rules didn't said that. Search here for either strobing or B0 yield no results about the rules.
Code: Select all
x=0,y=0,rule=b3aijns2ae3jnr
bo$2bo$3o