For discussion of other cellular automata.

EvinZL wrote:WeightedLife: a dynamic two-state cellular automaton. State 1 cells contribute 1 neighbor, state 2 cells contribute 2 neighbors. State 1 cells are born from state 0 ones if they have 3 "neighbors" and state 2 cells are born if they have 6 "neighbors". Cells die if they have less than 2 or more than 3 "neighbors".

I think someone else came up a relative of that rule too.
Anyways, a weird osc:
`x = 3, y = 1, rule = WeightedLifeABA!`

Partial:
`x = 5, y = 3, rule = WeightedLife.ABA\$A3.A\$.A!`

State 3 on its own is B3/S12 right?

EDIT: B3/S1
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 2328
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

Moosey wrote:weird osc:
`x = 3, y = 1, rule = WeightedLifeABA!`

It can eat Gs and LWSS
`x = 48, y = 6, rule = WeightedLife3.2A3.2A23.2A3.2A\$2A.3A.3A.2A.2A14.2A.3A.3A.2A.3A\$3.2A3.2A4.A.A16.2A3.2A4.A2.A\$14.A29.A\$44.A\$45.A.A!`
I Like Random Explosive Rules
• B2ae3inqr/S0
• B23/S234inty
• B34w/S23
• B012-i34/S2-a3-i4-w6
EvinZL

Posts: 50
Joined: November 8th, 2018, 4:15 pm
Location: B2-ac3i/S023(possibly -r)

EvinZL wrote:
Moosey wrote:weird osc:
`x = 3, y = 1, rule = WeightedLifeABA!`

It can eat Gs and LWSS
`x = 48, y = 6, rule = WeightedLife3.2A3.2A23.2A3.2A\$2A.3A.3A.2A.2A14.2A.3A.3A.2A.3A\$3.2A3.2A4.A.A16.2A3.2A4.A2.A\$14.A29.A\$44.A\$45.A.A!`

And MWSSes and HWSSes:
`x = 30, y = 7, rule = WeightedLife17.A\$15.A3.A\$3.2A3.2A4.A8.6A\$2A.3A.3A.2A.A4.A3.A5.A\$3.2A3.2A4.5A4.A\$24.A4.A\$26.2A!`
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 2328
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

EvinZL wrote:WeightedLife

(2, 4)c/6 reaction:
`x = 5, y = 3, rule = WeightedLife3.2A\$2A.2A\$2A.2A!`

----
I forgot to say this, but for some reason beehives are very common.
I Like Random Explosive Rules
• B2ae3inqr/S0
• B23/S234inty
• B34w/S23
• B012-i34/S2-a3-i4-w6
EvinZL

Posts: 50
Joined: November 8th, 2018, 4:15 pm
Location: B2-ac3i/S023(possibly -r)

Preliminary results from apgsearch:

p3:
`x = 4, y = 2, rule = WeightedLife.B.A\$B!`

Soup:
`x = 16, y = 16, rule = WeightedLife.A.A.3A.3A2.A\$A.2A4.2A.3A.A\$2A3.A2.A.A4.A\$2.A.5A3.2A\$3A2.A3.A4.A\$3A2.A2.A.A.3A\$3.A.2A.A2.A.2A\$.A2.2A.3A.3A\$2A2.3A3.2A.A\$2A.3A.A5.A.A\$2A2.A2.3A2.3A\$2A.6A2.2A.A\$3.A2.A2.A2.A.A\$.5A.2A2.4A\$A2.A.A2.A2.2A\$2.4A.A7.A!`

p12:
`x = 6, y = 7, rule = WeightedLife.3A\$A3.A\$5.A\$5.A\$4.A\$2.A\$3.A!`

Soup:
`x = 16, y = 16, rule = WeightedLife.A2.2A2.A.2A2.2A\$A.4A5.A.3A\$.5A.A3.2A.2A\$.2A.2A2.2A.A.A\$.2A6.2A.4A\$2A8.2A.3A\$.A4.2A3.5A\$.A.2A.4A3.A\$2.5A.A2.2A2.A\$.2A.A.2A.A.3A\$2A3.3A.A.A.3A\$2.2A2.A.2A.4A\$A.A3.2A.2A.A.A\$3A.A3.2A.A.A\$.A2.2A.A.2A.A\$A.A8.4A!`
Ian07

Posts: 307
Joined: September 22nd, 2018, 8:48 am

Ruletable for the lazy:
`@RULE WeightedLife@TABLEn_states: 3neighborhood: Mooresymmetries: permutevar a = {0, 1, 2}var b = {0, 1, 2}var c = {0, 1, 2}var d = {0, 1, 2}var e = {0, 1, 2}var f = {0, 1, 2}var g = {0, 1, 2}var h = {0, 1, 2}var i = {0, 1, 2}# birth rules for 10, 1, 1, 1, 0, 0, 0, 0, 0, 10, 1, 2, 0, 0, 0, 0, 0, 0, 1# birth rule for 20, 1, 1, 1, 1, 1, 1, 0, 0, 20, 1, 1, 1, 1, 2, 0, 0, 0, 20, 1, 1, 2, 2, 0, 0, 0, 0, 20, 2, 2, 2, 0, 0, 0, 0, 0, 2# survival1, 1, 1, 0, 0, 0, 0, 0, 0, 11, 2, 0, 0, 0, 0, 0, 0, 0, 11, 1, 1, 1, 0, 0, 0, 0, 0, 11, 1, 2, 0, 0, 0, 0, 0, 0, 12, 1, 1, 0, 0, 0, 0, 0, 0, 22, 2, 0, 0, 0, 0, 0, 0, 0, 22, 1, 1, 1, 0, 0, 0, 0, 0, 22, 1, 2, 0, 0, 0, 0, 0, 0, 2# all other cells diea, b, c, d, e, f, g, h, i, 0@COLORS0 0 0 01 255 0 02 255 255 0`
I like making rules
fluffykitty

Posts: 617
Joined: June 14th, 2014, 5:03 pm

More results: (full census)

The combination of red and yellow cells allows for some pretty unusual still lifes to appear:
`x = 16, y = 16, rule = WeightedLife.3A.A.A4.4A\$A.2A.2A.A4.3A\$2A2.A.2A2.A4.A\$A2.A3.2A2.A.2A\$.A.2A2.3A.4A\$3A.A.A.A2.A\$.A3.A.3A5.A\$A.A.8A\$4A2.2A.3A\$3.A.3A.2A.4A\$3.A.A.A4.4A\$.A.A.A3.A.A2.A\$3A5.A.2A2.2A\$A.A.A3.2A3.2A\$.A2.A.2A.2A3.A\$4A.A3.A.A3.A!`

p4 ship with two different variants:
`x = 24, y = 5, rule = WeightedLife4.A14.A\$3.3A12.3A\$A.5A.A6.A.5A.A\$ABA3.ABA6.ABA3.ABA\$2A5.A8.A5.A!`

Soups:
`x = 16, y = 16, rule = WeightedLife2A2.A.A.5A.A\$.3A.2A.3A.A.A\$A.2A.A.2A2.3A\$.3A.4A3.3A\$A.2A2.A.4A\$.2A2.3A6.A\$2.A.2A2.A5.2A\$3.2A3.A2.A\$2.A.A2.A.A.A.A\$4.2A2.A2.2A\$2A3.2A.2A.3A.A\$9.A\$.A.4A2.2A.3A\$3A.A.3A2.A2.A\$2A.3A.A3.2A.2A\$5.A2.2A.A2.2A!`

`x = 16, y = 16, rule = WeightedLife2.A.3A2.2A2.A.A\$.A.A2.A.2A.4A\$.A.A3.A3.3A\$2.2A.A2.2A.A2.A\$2.A2.2A3.A.4A\$2A.4A.3A.3A\$A5.2A.A.A.3A\$2A.A2.2A.2A.2A\$A.2A5.3A2.2A\$2A.2A5.A2.3A\$3A2.2A.2A.5A\$5.5A.5A\$2A2.2A2.A2.A.3A\$.4A.3A\$.A.A.3A2.6A\$3.4A2.5A!`

Some other reactions:
`x = 83, y = 13, rule = WeightedLife80.A\$45.2A\$45.A32.B3.A\$46.3A31.3A\$48.A13.2A.B\$34.A26.A2.B\$32.ABA27.A14.A\$63.A12.A.A\$A.2B.A15.2A27.A26.2A\$A.2B.A15.2A4.A21.2A\$26.A.A21.A\$26.A.A\$27.A!`

EDIT: The other tabulations for some reason didn't load at first, so here's some more stuff:

p4 oscillators:
`x = 43, y = 6, rule = WeightedLife3.2A\$5.A32.2A\$4.A10.B11.2A11.BA\$A2.B25.B9.B.B\$A.A10.5B9.B11.AB\$.A26.2A11.2A!`

Soups:
`x = 64, y = 64, rule = WeightedLife5A3.6A.A33.A4.A2.A.5A\$3A2.2A.A.2A.3A32.A9.A.A.A\$6A5.A2.2A38.A2.2A3.A\$3A2.2A.A4.A.A32.A2.5A.2A2.2A\$A9.2A38.A.A3.3A2.3A\$2A.A.3A3.5A35.2A.A3.4A.A\$7A.2A.A.A34.8A2.2A.A.A\$3.A.6A2.3A33.3A5.5A.A\$2.A.3A.5A2.A33.A.3A.4A.4A\$7.2A.2A2.A36.2A8.A.A\$5A.A4.2A.2A34.A.2A3.A.3A\$3.A3.A.A2.2A34.3A3.A2.A2.A2.A\$.4A3.A2.A.3A34.A2.2A2.A2.A\$7.3A4.A34.A.3A.3A.A2.2A\$4.2A.A.2A.4A34.A2.4A3.A.A\$3A.A2.2A.2A.2A34.A.A.A2.A.3A.A33\$4A3.A3.A.2A33.2A3.4A.2A.2A\$2A2.3A2.2A37.4A2.2A.2A\$3A.A.4A2.A.2A34.2A3.2A2.A.3A\$.3A2.9A33.A9.2A2.A\$5.A.2A4.2A36.2A.A3.A3.2A\$2.A2.A.4A.A.2A34.3A.A3.4A.A\$A.A3.2A2.A4.A32.8A4.4A\$5A2.2A.5A34.A3.3A\$.A3.6A.3A36.6A.A3.2A\$2A5.2A2.2A35.3A.A6.A.A.A\$A.A.A.A.A2.A3.A37.A2.4A.A.A\$3.A5.6A33.A.A.2A3.2A.A\$6.A3.A2.2A34.A3.2A3.4A.A\$2A.A.A3.A.5A32.2A.3A.A.2A.A2.A\$.A2.A3.A.A3.A35.A.2A.6A.2A\$.2A.A2.4A4.A33.2A.A7.A.A!`

p6 oscillator:
`x = 6, y = 7, rule = WeightedLife.A\$A.2A\$.5A\$5.A\$.5A\$A.2A\$.A!`

Soup:
`x = 16, y = 16, rule = WeightedLife.A.2A.A3.2A3.A\$2A2.4A.A2.A2.A\$A.2A5.2A.4A\$A3.A.A2.2A.2A\$3A.8A\$A2.A.3A.A3.A.A\$A.4A.2A.A\$3A.A2.4A\$A.3A2.2A.2A.A.A\$3A4.2A3.3A\$2.A4.A2.A.A.A\$A.6A2.A.A\$4.2A.2A.3A\$.2A2.2A3.2A.A.A\$2.A5.3A.A2.A\$2.5A3.2A!`

3c/11o ship:
`x = 3, y = 9, rule = WeightedLife3A\$.A3\$.A\$.A\$A.A\$.A\$.A!`

Soup:
`x = 16, y = 16, rule = WeightedLife2A.A.A.3A3.2A\$2.A3.2A2.3A\$A2.A.A2.A.3A2.A\$.A3.4A5.2A\$3.2A.2A2.5A\$A4.A3.2A.3A\$.A2.2A.5A.A.A\$2A.4A3.3A.2A\$2A.5A.2A\$A.A2.4A.A.A\$A3.A3.3A3.A\$A.2A.A.A2.2A.A.A\$.A.2A.A.A.2A.A.A\$3.3A.A.A3.A.A\$.2A.2A.A.A3.2A\$.2A.A3.A3.2A!`

c/24d ship:
`x = 3, y = 5, rule = WeightedLife2A\$.2A\$.2A2\$3A!`

Soup:
`x = 16, y = 16, rule = WeightedLife3.A5.A.A.A.A\$2.A2.4A.A3.2A\$.2A.4A.A2.A.A\$A.2A.9A.A\$A.2A.2A5.A\$A2.A2.A.A2.2A\$2A2.A.2A3.A3.A\$.A.2A.A2.A.A2.2A\$A2.2A6.A\$A4.3A.A.2A.A\$4.3A2.A3.A\$.A.A3.2A.6A\$A.3A.2A.A2.4A\$.A.A.2A.A4.A\$.5A2.A.2A.3A\$3A.4A.A.3A.A!`

2c/26d ship:
`x = 7, y = 5, rule = WeightedLife3A\$3.A\$4.3A2\$.3A!`

Soup:
`x = 16, y = 16, rule = WeightedLife2A3.2A.A2.A2.2A\$3A.2A.6A2.A\$3.4A6.A\$5A2.A2.A3.A\$.2A2.2A2.A\$A2.5A2.A3.2A\$2.5A2.2A2.2A\$2.A5.A.2A2.A\$2A2.2A.5A2.2A\$2.A.3A2.A.2A2.A\$A.A2.A2.A\$4.A.4A2.A\$A2.6A.A.A.2A\$A.2A.A2.A.A\$2A.A.A2.A3.A2.A\$2.2A2.2A7.A!`

Another random reaction:
`x = 13, y = 5, rule = WeightedLife.3A\$A3.A6.A\$B3.B6.2A\$A3.A6.A\$.3A!`

For a custom rule, this is surprisingly quick to search - about 500 soups/sec/core.
Ian07

Posts: 307
Joined: September 22nd, 2018, 8:48 am

Ian07 wrote:c/24d ship:
`x = 3, y = 5, rule = WeightedLife2A\$.2A\$.2A2\$3A!`

It can eat gliders
`x = 13, y = 6, rule = WeightedLife7.3A.2A\$7.A.A2.A\$.2A.2A.A2.3A\$A.A5.A\$2.A3.A.A\$6.3A!`
I Like Random Explosive Rules
• B2ae3inqr/S0
• B23/S234inty
• B34w/S23
• B012-i34/S2-a3-i4-w6
EvinZL

Posts: 50
Joined: November 8th, 2018, 4:15 pm
Location: B2-ac3i/S023(possibly -r)

Just did some symmetric searches for WeightedLife, don't really want to clutter up this thread any more but you can see the results here.
Ian07

Posts: 307
Joined: September 22nd, 2018, 8:48 am

Conquerors and Colonizers (B2ace3acei4ace5acei6ace/S)
viewtopic.php?f=11&t=4087&p=81297#p81297

phdanielli

Posts: 110
Joined: May 21st, 2013, 6:15 am
Location: Hong Kong

This c/2-exploding rule is pretty cool!
B012-i34/S2-a3-14-w6:
`x = 12, y = 6, rule = B012-i34/S2-a3-i4-w68b3o\$9o2bo\$o10bo\$2o9bo\$b2o6b2o\$2b8o!`

Edit: Can someone measure the speed of the domino?
`x = 2, y = 1, rule = B012-i34/S2-a3-i4-w62o!`

Edit: There are 3 common ships, I call them Glider A, Glider B, Bomber
`x = 31, y = 13, rule = B012-i34/S2-a3-i4-w618bo8bobo\$bo14bo3bo5bobobo\$o13bo5bo6bobo\$26bobobo\$o13bo12bobo\$bo14bo5\$o\$2bo\$o!`

Edit 2:
This rule is actually really cool! An infinite family of p4/2 oscillators:
`x = 10, y = 18, rule = B012-i34/S2-a3-i4-w64b2o\$3bo2bo\$3bo2bo\$4b2o4\$4b2o\$3bo2bob2o\$3bo2bob2o\$4b2o4\$4b2o\$2obo2bob2o\$2obo2bob2o\$4b2o!`
Last edited by EvinZL on August 16th, 2019, 3:05 pm, edited 3 times in total.
I Like Random Explosive Rules
• B2ae3inqr/S0
• B23/S234inty
• B34w/S23
• B012-i34/S2-a3-i4-w6
EvinZL

Posts: 50
Joined: November 8th, 2018, 4:15 pm
Location: B2-ac3i/S023(possibly -r)

Here is a marginally apgsearchable rule with a 3-cell 3c/61 orthogonal ship, a p66 gun with minimum population 4 cells, and several high-period oscillators:
`x = 67, y = 12, rule = B2cei3iy4ejwz5ceq/S13nqy4cijz5ack6ci845bobo\$46bo17bobo\$45bobo2\$46bo\$45bobo\$46bo17bobo\$46bo\$45bobo\$27bo18bo\$o8bobo15bo\$obo7bo14b2o!`

It's got a tiny bricklayer as well:
`x = 14, y = 15, rule = B2cei3iy4ejwz5ceq/S13nqy4cijz5ack6ci84b2o4\$o\$o2\$7b2o\$6bo\$6bo\$13bo\$13bo3\$9b2o!`
`x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o\$b2o\$2o!`

LaundryPizza03 at Wikipedia

LaundryPizza03

Posts: 457
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

B012-i34/S2-a3-i4-w6 is relocated here
I Like Random Explosive Rules
• B2ae3inqr/S0
• B23/S234inty
• B34w/S23
• B012-i34/S2-a3-i4-w6
EvinZL

Posts: 50
Joined: November 8th, 2018, 4:15 pm
Location: B2-ac3i/S023(possibly -r)

Unsustainablelife:
`x = 11, y = 12, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgACAAIAAAAAAAA2o\$2o8\$8b3o\$8bo\$9bo!`

Generally explosive.

Here's one that nearly explodes but it can't go down so it doesn't:
`x = 3, y = 3, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAAo\$bo\$3o!`

More active relative:
`x = 3, y = 3, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIHogGiA6ICAAIAAaICatIAAgA0CAIAAAAAAAA2bo\$b2o\$3o!`
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 2328
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

Moosey wrote:Unsustainablelife:
More active relative:
`x = 3, y = 3, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIHogGiA6ICAAIAAaICatIAAgA0CAIAAAAAAAA2bo\$b2o\$3o!`

That rule is really peculiar.
Funny rule, besides a bunch of silly-looking still-lifes here's some garbage:
`x = 22, y = 42, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIHogGiA6ICAAIAAaICatIAAgA0CAIAAAAAAAA3\$11b3o\$6bobo3b4o\$6bob5o3bo\$14bob2o7\$10b2o\$6b2o\$5bo8b2o\$6b2o8bo\$10b5ob2o7\$13bobo\$13bo2bo\$16b2o8\$15b2o\$12bob4o\$13bobo!`

`x = 10, y = 11, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIHogGiA6ICAAIAAaICatIAAgA0CAIAAAAAAAA4\$3b4o\$3bo3bo2\$6b2o!`

*le gasp!*
`x = 14, y = 11, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIHogGiA6ICAAIAAaICatIAAgA0CAIAAAAAAAA5\$6bo\$4bobobo\$4bo\$4bo!`

Layz Boi

Posts: 41
Joined: October 25th, 2018, 3:57 pm

Moosey wrote:Unsustainablelife:
Here's one that nearly explodes but it can't go down so it doesn't:

(-1,1)c/15:
`x = 14, y = 6, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAA2b2o2bo\$bo4bo\$o\$bo2bo\$2b3o7bo\$10bob2o!`

Eater:
`x = 10, y = 6, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAA2o\$obo\$bo\$8b2o\$8bo\$8bo!`

EDIT:
(5,-1) boat shift:
`x = 5, y = 8, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAA2o\$obo\$bo3\$3b2o\$3bo\$3bo!`

(-3,1) boat shift:
`x = 9, y = 6, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAA2o\$obo\$bo\$7b2o\$7bo\$7bo!`

Hey, no one can blame me for posting a pseudo-SL anymore:
`x = 17, y = 3, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAA15bo\$2o9b2obobo\$2o9b2ob2o!`

EDIT: Most of Layz Boi's (1,0)c/2 spaceships work:
`x = 12, y = 23, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAA5b3o\$obo3b4o\$ob5o3bo\$8bob2o7\$7bobo\$7bo2bo\$10b2o8\$9b2o\$6bob4o\$7bobo!`
That that is, is. That that is not, is not. Is that it? It is.
A predecessor to my favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1295
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Those are nice.

EDIT:
Aesthetically pleasing reaction suggests signal track!
`x = 29, y = 34, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAA2bo\$bobo\$obo\$2o2\$14b2o2bo\$13bo4bo\$12bo\$13bo2bo\$14b3o7bo\$22bob2o20\$11b2o13b2o\$10bo2bo11bo2bo\$bo2bo6b2o13b2o\$2bob2o!`

Large displacement:
`x = 17, y = 18, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAA2o\$obo\$bo6\$5b3o\$5bo\$6bo5\$15bo\$14b2o\$14bobo!`

Boat to bun and buns to boats:
`x = 52, y = 18, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAA2o\$obo22b2o22b2o\$bo22bo2bo20bo2bo\$24b3o21b3o4\$32b2o\$5b3o24bo17b2o\$5bo26bo17bo\$6bo43bo5\$15b2o\$15bo\$15bo!`

Weird heisenburpy thing:
`x = 25, y = 22, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAAbo\$obo\$bo2\$4bo\$3bobo\$4bo2\$7bo\$6bobo\$7bo2\$10bo\$9bobo\$10bo5\$16b2o5b2o\$16bo6bo\$16bo6bo!`

We should make a 4-state rule where one state is life, another is a "catalyst" state, and the last is
`MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAA`

When touching a catalyst or
`MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAA`
state, the life state becomes a
`MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAA`
state.

Unrelated: here's a nonexplosive rule with 2 3-cell ships, and a 4-cell one. The diagonal 3 cell and the orthogonal 4-cell are both mod 5, which I find unusual:
`x = 22, y = 4, rule = B2k3-j/S01c2ek3-j4a21bo\$10b2o8bo\$2bo\$o3bo4bo2bo6bo!`

EDIT: whoops, thanks hdjens-- the slower orthogonal ship is mod 4
Last edited by Moosey on August 17th, 2019, 5:09 pm, edited 4 times in total.
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 2328
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

Moosey wrote:Those are nice.
Unrelated: here's a nonexplosive rule with 2 3-cell ships, and a 4-cell one. The diagonal 3 cell and the orthogonal 4-cell are both mod 5, which I find unusual:
`x = 22, y = 4, rule = B2k3-j/S01c2ek3-j4a21bo\$10b2o8bo\$2bo\$o3bo4bo2bo6bo!`

That's not exactly right: the orthogonal 4-cell spaceship is mod 4.

EDIT: Eater (rock) for the (-1,1)c/15 in Moosey's second unsustainable rule:
`x = 24, y = 11, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAAbo\$obo\$bo3\$12b2o2bo\$11bo4bo\$10bo\$11bo2bo\$12b3o7bo\$20bob2o!`

EDIT: A "near-miss" of sorts for a NE ship:
`x = 14, y = 13, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAAb2o\$o2bo\$b2o3\$9b2o\$9bobo\$10bo3\$12b2o\$12bo\$12bo!`

I realize now why Layz Boi was so enthusiastic about his p2 oscillator - it's because oscillators are like unicorns. Haven't found a single natural one yet in over 100 soups.

EDIT: New natural (1,0)c/2. I assumed it was known but it wasn't. (EDIT: I believe it's the first ship with a constant population.)
`x = 7, y = 4, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAA2bo\$5o\$bo3bo\$2b2ob2o!`
Last edited by Hdjensofjfnen on August 18th, 2019, 2:47 pm, edited 2 times in total.
That that is, is. That that is not, is not. Is that it? It is.
A predecessor to my favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1295
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Hdjensofjfnen wrote:I believe it's the first ship with a constant population.

Gliders are always 5
I like making color palettes for rules

Gustone

Posts: 421
Joined: March 6th, 2019, 2:26 am

Gustone wrote:
Hdjensofjfnen wrote:I believe it's the first ship with a constant population.

Gliders are always 5

I'm assuming hdjens was referring to ships in this rule, where gliders have a population of 5 in only 3 phases.

EDIT:
Unusual oscs with high periods in B1e rule
`#C this is a p31x = 6, y = 15, rule = B1e2i3a4e/S1c2-kn3eiknr4artz5ci6ac7c6o\$o4bo\$obo2bo\$o4bo\$o4bo\$o2bobo\$obo2bo\$o2bobo\$obo2bo\$o4bo\$o4bo\$o4bo\$obo2bo\$o4bo\$6o!`

EDIT:
Is this the simplest rule with a tetrational sawtooth?
`x = 7, y = 5, rule = B2ac3i/S6bo\$4bobo\$4bobo\$4bobo\$obo!`
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 2328
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

Layz Boi's (2,0)c/4, I'm glad to report, is natural in Unsustainable2:
`x = 59, y = 30, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAA2obobobo3bo3bo3b3o2b3obo4b2o3b2o5b2o4bob2o3bo\$2bo2b2o3b3ob8o3bo2b2o2b5obobo5b5o2bobob2o\$bo4b3obo2bo2bob3o2bo2b2o2bob4o4bobobob3o2b2o3b3o\$2bo3bob2o2bo2b3obob4ob2obo2bo2bobo2bo2b2o2b6o2bob2o\$4ob6obo2b3o3b2o5bob2obo2bo6bo3bob2obobo3bo\$2b3ob2o2b2obo2bob2obobobo2bob3ob3o3bob3ob2o2b5o3bo\$bo5b5obobob3o4b4obo2b3o3bo2b2obobo3bo3b5o\$bo2b2o2bob2ob2o3bob2obob2obobobo3b2o2bob2o7b4obo\$bo3bo3b2o4bo2bob5o2b2ob3o3bo4b2ob3ob2o2bobo\$b2o3b3ob3obob3o4b2ob5obobo2b2obo2b2o2bobo2bob2ob2o\$obo2b3o2bo2bob3obo3bo2b2o3bo4bo3bob6obob2o5bo\$2obobo3bob2ob3o3b3o2bo2bo3b2o3b3obo2bobo3bo2b6o\$2obobo3b2ob8obo2b3ob3o3b2obo3bo2b2ob3o2bob2ob2o\$bobobo3b2ob5o4b2o2bobobobob2o7b2o5b2o2b2ob3o\$o2bo2bo3bobob2o4b3o6b2obob3obo2b2ob5o5b2o\$b2o2bob2o2bo4bo5bob2o2bob2obobob6obobob2obo3bob2o\$obo2b2obo3b2obo2b7ob4obob3obo2b3obo5b2obobob2o\$b2obo2b2obob2o4bobob3obobo3b3o2bobobobo3b3o2bo3bobo\$bo5b3o2bo2bob3o5b2o2b3o5bo2bo3bo2bo4b3o2bo\$4o2bob2obobo2b4ob5obobobobob2o2bo4bo5bo3b3o\$ob4obo2bo8b2o2b4o2b2obo2b2obo3bobobo2b2ob5obo\$2o2b9o2bobo7bo3b2obo2b6ob3o3bobobob4o\$bobo2b3obob2obo6b2o2bo2b3o2b2obob2o4bo2bobob6o\$3b3o2bob4ob2o2b2o4b3o2bo2bo3b2ob2ob3o3b5obobo\$2obo2bo3b2o5bo3bob2obobobob2o2bo4bob2ob2obo6bobo\$b2o2b4o4bo3b2o4bobobo5bob3o2bobobo2b6o2bo\$obo2b3ob2o3b2ob4o2b2o2bo2b5o3bob2obo3bo3bob6o\$2o2b2obo2b2ob3o4b5o2b3o2bo2bo3b5obobob6obobo\$7o2bob3ob2obo8b3obo3b2o2bo2bob5obobobo2b2o\$b2o2b2obo3b2ob3ob2obo3b2obob3ob3o3b2obob7o2bob2o!`

EDIT: Rarest SL to show up so far:
`x = 10, y = 8, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAA2o\$2o2bo\$3bobo\$4b2o\$6b2o\$6bobo\$8bo\$8b2o!`

EDIT: Tub-bit:
`x = 32, y = 16, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAA2bo7b2o8b2o8bo\$bobo3bo3bo9bo4bo2bobo\$bobob4o2bo9bo2b4obobo\$bobo3bo3bo9bo4bo2bobo\$2bo7b3o7b3o7bo7\$obo16bobo\$o2bo15bo2bo\$3b2o6bo10b2o5b2o\$10bobo16bobo\$11bo18bo!`

EDIT: (-1,0) boat shift plus bonus souvenir hive:
`x = 13, y = 5, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaIDogIAAgA0CAIAAAAAAAA10b2o\$10bobo\$obo8bo\$o2bo\$3b2o!`
That that is, is. That that is not, is not. Is that it? It is.
A predecessor to my favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1295
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Suprisingly non-explosive CA:

`x = 150, y = 108, rule = 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CoolCreeper39

Posts: 58
Joined: June 19th, 2019, 12:18 pm

Here is a stable rule involving vanishing replicators:
`x = 216, y = 129, rule = 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$b6ob5o3b2o2bobobob2ob3o3b2ob4o2bob2o2b5o2b2o2b4o2bobobobo3bo3b2o2bo2b4o2bo3bobobobobo3bobo2bobo3b5o2b2ob2ob3ob2obobo4b5obo3bo2b2o3bo3bo11bo2b4obobobo5bo3b4obob2o2bo\$bo3b5o3bobobobob2ob3o4bo2bo9b5obo6bo2bo2bo2bob2obob4o2b2obo2b5o3bo2bo8bo2bob5ob2o3b3o2b3o8bobo3bob4o4bo3bo2b2obo3b2o2bo2b5o2bob2obob4o4bo8b3ob2o\$4bo3b2o2bo2b2o6bo3b2o2bobobob3ob2obob9o9b5obob2o2bob4o5b4o2b5o2b3obobobobobobo3bo2b2ob2o2bobob5obo2bob2o3bo3b4obo2bo5bo6b5o5b5ob2o5b4ob2obob2obobo2bo\$ob7o2bo3bo2b2o8bob5o3bobobo3b2o2b3ob3ob2o11bo3bobob4ob2o3b2o2bobobo3b2ob6ob7ob3o2b3obob3ob2obob3ob5ob2o4bob4ob2o2b2obo4bo4b2o2b2o2bo4bob3obob2obob2o6bobo\$4bobob8obobo2bobob2obo2b3o5bo2bobo4bo2b2ob6obo2b2o4b6o3bobo2b2ob2obob2o4b2obo3b2o2bo6bo2bo2b4ob3ob4ob2ob2ob2ob2ob3obobob2obo2bo2bo3bo3bo4bo4b2o2b2ob2ob2obobo2bob2o3bobo2bo\$2b4obo2bob4o4b2ob3ob3ob2o3bo2b2o3bobo2bo9bo8b2ob2obo3b2obobob3o2b4obobo2bob2o3b7o5bob2ob4ob3o3bo5b3o3bo3b2o2bo2bo2b2obo2bob2obobobo4b2ob3ob4ob4obo2b4ob2o2bo2b2o\$ob6obo2bobo3b3o4b4obob2o2b2ob4o2bob2o2b2o2b3o3b2ob2o7bob2o2b2ob3ob4ob2obo2b2ob4ob2obo2b2ob2obo2b2obo2bob2o2bo5bo2bo2b2ob6obobobo2bo2b3o2b7ob6o4bo3bobobobobo3b3o2b3ob2o!`

It is dominated by xs14_06i8453z321. It also holds an endemic 10c/106:
`x = 17, y = 20, rule = B2in3aceir4ceity5ik6k7e/S2-i3-ak4ity11b3o\$10bo2bo\$2b2o6bo3bo\$2bo2bo4b2obob2o\$2bo2bo6bo3bo\$13bo2bo\$13b3o8\$11b2o\$2b3o5bo\$bo2bo4bo\$o3bo3bo\$o2bo4bo\$3o!`

EDIT: Adding B3k yields an endemic 98c/196:
`x = 51, y = 60, rule = B2in3-jnqy4ceity5ik6k7e/S2-i3-ak4ity27bo\$26b3o\$25bo2b2o\$25bo\$25b2o4\$34b2o\$34bobo\$34bobo\$21bo12bo\$20b3o11bo2b2o\$20bo2bo10bo4bo\$19b3ob2o11bob2o\$17b7o10bo2bo\$16b2ob3o12bobo\$17bo2bo15bo\$18b3o\$19bo2\$37b2obo\$37bobo7b2o\$36bobobo6bobo\$36bo2b2o5bo2b2o\$36b3o5b2o2b2o\$47bo\$45b3o\$46bo3\$27bo\$27b2o8\$9b3o\$9bo2bo\$12bo\$9bo20bo\$9bo2bo16b3o\$12bo15b2obo\$11bo\$11bob2o\$12bobo17bo\$2ob2o8b4o\$o6bo\$o5b3o\$b2ob2o2b2o10bo18bo\$6bobo11bo3b2o14bo\$7bo12bo16bo2bo\$7bo2bo11b2o14b3o\$10bo\$7bo\$7bo2bo\$8b3o!`

as well as an almost endemic (for S5e) 3c/150d:
`x = 26, y = 35, rule = B2in3-jnqy4ceity5ik6k7e/S2-i3-ak4ity19bo\$18b3o\$20bo\$6b3o7bobo\$6bo2bo5b2o\$6b4o6b2o5b2o\$24b2o\$22bobo\$20bo\$20b3o\$21bo6\$9bo15\$b2o3\$o2bo!`

EDIT2: This nice P66:
`x = 33, y = 33, rule = B2in3aceik4ceiy5ik6k7e/S2-i3-ak4ceity6k11b3o\$11bobo\$13bo4\$14bo2\$11b2o\$11bo3bobo\$10bo5b2o\$2o6b2o7bo\$o7bo\$3o\$6bo\$9bo11b3o\$10bo11bo\$9b3o11bo\$26bo\$30b3o\$24bo7bo\$15bo7b2o6b2o\$15b2o5bo\$15bobo3bo\$20b2o2\$18bo4\$19bo\$19bobo\$19b3o!`

P86:
`x = 42, y = 42, rule = B2in3-jkqy4-ajnqw5ik6k7e/S2-i3-ak4ity8bo\$7bobo\$8bo5\$bo\$obo\$bo3\$27bo\$27b2o\$28b2o13\$12b2o\$13b2o\$14bo3\$40bo\$39bobo\$40bo5\$33bo\$32bobo\$33bo!`
Current status: outside the continent of cellular automata. Specifically, not on the plain of life.

GUYTU6J

Posts: 670
Joined: August 5th, 2016, 10:27 am
Location: My Glimmering Garden

Bliptile-like diode:
`x = 8, y = 6, rule = Turmite_0101b02003.4B\$2.B4AB\$2.BA2B2A\$D.3ABAB\$2.B4AB\$3.4B!`

Reflector:
`x = 7, y = 5, rule = Turmite_0101b02003.2B\$2.B2AB\$D2.3AB\$2.B3AB\$3.3B!`

Pseudo random generator:
`x = 34, y = 4, rule = Turmite_0101b0200.B28.3B\$BA28.3AB\$.A21.D6.3AB\$.B28.3B!`

AND-NOT gate:
`x = 50, y = 6, rule = Turmite_0101b020048.B\$24.D19.D3.AB4\$D39.D!`

PHPBB12345

Posts: 583
Joined: August 5th, 2015, 11:55 pm

2c/84d and simple synthesis of clock:
`x = 32, y = 10, rule = B3/S234iw3bo\$3b2o17b3o\$23bo\$30bo\$29b3o2\$bobo\$o2bo\$o2bo\$o!`
That that is, is. That that is not, is not. Is that it? It is.
A predecessor to my favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1295
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

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