Only one object [GAME]

[PkmnQ]

Code: Select all

x = 4, y = 4, rule = B4w/S2ek3jr4i
b3o$o2bo$o2bo$3o!

Code: Select all

x = 9, y = 3, rule = B4w/S2ek3jr4i
3o2b4o$obo2bo2bo$3o2b4o!

FIX:

Code: Select all

x = 4, y = 4, rule = B4w7e8/S2ek3jr4i
b3o$o2bo$o2bo$3o!

I saw the former in a soup, but then my device ran out of battery right before I could post it.

[PkmnQ]

This looks pretty promising...haven't found a stabilization yet, but it's a wick!

Code: Select all

x = 9, y = 2, rule = B4w7e8/S2ek3jr4i
3ob3obo$ob3ob3o!

EDIT: Ooh, here it comes...

Code: Select all

x = 6, y = 6, rule = B4w7e8/S2ek3jr4i
4b2o$4bo$4b2o$5bo$3ob2o$ob3o!

It came!

Code: Select all

x = 9, y = 9, rule = B4w7e8/S2ek3jr4i
b3ob3o$2ob3ob2o$o7bo$2o5b2o$bo5bo$2o5b2o$o7bo$2ob3ob2o$b3ob3o!

Now I should find a fix...

EDIT 2: Well that was short-lived.

Code: Select all

x = 4, y = 4, rule = B4w5i7e8/S2ek3jr4i
b3o$o2bo$o2bo$3o!

[praosylen]

I don't think there's a way to avoid this still life:

Code: Select all

x = 4, y = 4, rule = B4w5i7e8/S2ek3jr4i
4o$o2bo$o2bo$4o!

[PkmnQ]

Wow, you're right. If you remove one corner, it can actually become another oscillator.
New rule needed!

[tommyaweosme]

after 4+ years

Code: Select all

x=0,y=0,rule=b3/s2-c
3o!

is there anything else?

[unname4798]

after 4+ years

Code: Select all

x=0,y=0,rule=b3/s2-c
3o!

is there anything else?

Counterexample:

Code: Select all

x = 2, y = 4, rule = B3/S2-c
bo$2o$2o$o!

Fixed:

Code: Select all

x = 2, y = 4, rule = B3/S2-c4a
bo$2o$2o$o!

[d/dx]

Code: Select all

x = 1, y = 1, rule = B/S0
o!

[tommyaweosme]

oops an infinite family of counterxamples

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!

fixed

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!

edit: oh come on! replicators are "solid"?

fine...

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!

[b-engine]

There's a counterexample:

Code: Select all

x = 12, y = 4, rule = B34w/S2-ck4a
9b2o$9bo$3o8bo$10b2o!

Nevermind, B4q fixes it:

Code: Select all

x = 12, y = 4, rule = B34qw/S2-ck4a
9b2o$9bo$3o8bo$10b2o!

[eRroR_6o6]

I think this rule belongs in Not Lonely.

Here's the unfixable counterexample:

Code: Select all

x = 19, y = 4, rule = B34qw/S2-ck4a
bo2bo10b3o$bo2bo$bo2bo$bo2bo!

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 = 9, y = 3, rule = B34qw/S2-ck4a5i
2o$2o4b3o$2o!

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.

Edit: Also, when are threads for Not Lonely and Mostly Empty going to be made?

[unname4798]

I think this rule belongs in Not Lonely.

Here's the unfixable counterexample:

Code: Select all

x = 19, y = 4, rule = B34qw/S2-ck4a
bo2bo10b3o$bo2bo$bo2bo$bo2bo!

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 = 9, y = 3, rule = B34qw/S2-ck4a5i
2o$2o4b3o$2o!

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.

Edit: Also, when are threads for Not Lonely and Mostly Empty going to be made?

B3/S2-c - B34qw/S2-ck4a
B/S0 - B/S0
B3aijn/S2ae3jnr - B3aijn/S2ae3jnr
Color codes:
Red - failed (Not Lonely)
Green - successful (Mostly Empty)

[tommyaweosme]

b3i/s2i

try finding counterexamples now!

[b-engine]

B3i/S2i

Try finding counterexamples now!

We have infinite counterexamples:

Code: Select all

x = 15, y = 5, rule = B3i/S2i
3o5b3o$3bo7bo$3bo7bo$3bo7bo$12b3o!

Don't worry, B4w fixes this:

Code: Select all

x = 20, y = 5, rule = B3i4w/S2i
3o3b3o4b3o$9bo6bo$9bo6bo$9bo6bo$17b3o!

[hotcrystal0]

Don't worry, B4w fixes this:

Code: Select all

x = 20, y = 5, rule = B3i4w/S2i
3o3b3o4b3o$9bo6bo$9bo6bo$9bo6bo$17b3o!

This P4 still exists:

Code: Select all

x = 4, y = 4, rule = B3i4w/S2i
o2bo$o2bo$o2bo$o2bo!

[tommyaweosme]

why dont i just...

Code: Select all

x=0,y=0,rule=b2c/s
obo!

try to find a counter example now! >:D

[hotcrystal0]

why dont i just...

Code: Select all

x=0,y=0,rule=b2c/s
obo!

try to find a counter example now! >:D

Counterexample:

Code: Select all

x = 7, y = 1, rule = B2c/S
obobobo!

[unname4798]

why dont i just...

Code: Select all

x=0,y=0,rule=b2c/s
obo!

try to find a counter example now! >:D

Counterexample:

Code: Select all

x = 7, y = 1, rule = B2c/S
obobobo!

In fact, there is an infinite number of counterexamples.

[hotcrystal0]

How about only doing rules where patterns can escape their bounding box and diamond? I’m proposing this, where the only stable object is the duoplet:

Code: Select all

x = 2, y = 2, rule = B2e3i/S2n5c6n
bo$o!

[Haycat2009]

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
!

Is this posted before? And are there counter examples?

[unname4798]

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
!

Is this posted before? And are there counter examples?

It is posted before.

[b-engine]

Code: Select all

x = 47, y = 43, rule = B3i/S2i
!

Is this posted before? And are there counterexamples?

Yes, and there're counterexamples:

B3i/S2i

Try finding counterexamples now!

We have infinite counterexamples:

Code: Select all

x = 15, y = 5, rule = B3i/S2i
3o5b3o$3bo7bo$3bo7bo$3bo7bo$12b3o!

Don't worry, B4w fixes this:

Code: Select all

x = 20, y = 5, rule = B3i4w/S2i
3o3b3o4b3o$9bo6bo$9bo6bo$9bo6bo$17b3o!

Don't worry, B4w fixes this:

Code: Select all

x = 20, y = 5, rule = B3i4w/S2i
3o3b3o4b3o$9bo6bo$9bo6bo$9bo6bo$17b3o!

This P4 still exists:

Code: Select all

x = 4, y = 4, rule = B3i4w/S2i
o2bo$o2bo$o2bo$o2bo!

Now try this:

Code: Select all

x = 0, y = 0, rule = B01c/S2e3aij5i
!
#C [[ RANDOMIZE ]]

[unname4798]

Code: Select all

x = 47, y = 43, rule = B3i/S2i
!

Is this posted before? And are there counterexamples?

Yes, and there're counterexamples:

B3i/S2i

Try finding counterexamples now!

We have infinite counterexamples:

Code: Select all

x = 15, y = 5, rule = B3i/S2i
3o5b3o$3bo7bo$3bo7bo$3bo7bo$12b3o!

Don't worry, B4w fixes this:

Code: Select all

x = 20, y = 5, rule = B3i4w/S2i
3o3b3o4b3o$9bo6bo$9bo6bo$9bo6bo$17b3o!

Don't worry, B4w fixes this:

Code: Select all

x = 20, y = 5, rule = B3i4w/S2i
3o3b3o4b3o$9bo6bo$9bo6bo$9bo6bo$17b3o!

This P4 still exists:

Code: Select all

x = 4, y = 4, rule = B3i4w/S2i
o2bo$o2bo$o2bo$o2bo!

Now try this:

Code: Select all

x = 0, y = 0, rule = B01c/S2e3aij5i
!
#C [[ RANDOMIZE ]]

Strobing rules aren't allowed.

[b-engine]

Strobing rules aren't allowed.

The rules didn't said that. Search here for either strobing or B0 yield no results about the rules.

[unname4798]

Strobing rules aren't allowed.

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.

[tommyaweosme]

i dare you to counterexample

Code: Select all

x=0,y=0,rule=b3aijns2ae3jnr
bo$2bo$3o