Margolus-neighborhood rules

[Moosey]

Now that lifeviewer supports margolus rules, I think we should have a thread for them.
This rule tends to produce blobs of multiplying dots, since population is not conserved.

Code: Select all

x=1, y=1, rule = M0,3,4,8,2,5,9,7,1,6,11,10,12,13,14,15
o!

Try scribbling in the viewer to see what I mean.

EDIT:
1D 1-direction stretcher

Code: Select all

x=1, y=1, rule = M15,2,13,12,11,10,9,8,7,6,5,4,3,14,1,0
o!

Weird:

Code: Select all

x=1, y=1, rule = M0,2,1,3,11,10,9,8,7,6,5,4,12,14,13,15
o!
[[ STEP 2 ]]
[[ T 0 "Potential seizure warning!" ]]

Can anyone find a non-reversible margolus rule which is like life in that it has:

• A common ship, which travels below C
• No spaceships at the speed of light
• Non-conserved population

It is fortunate that the viewer can run non-reversible margolus rules


Emulates explosive Moore neighborhood CA (I think) and brings literal meaning to "block cellular automaton"

Code: Select all

x=1, y=1, rule = M0,15,15,0,15,0,0,0,15,0,0,0,0,0,0,15
o!

[muzik]

Tried getting the classic 2x2 rule to work, no luck:

Code: Select all

x = 2, y = 12, rule = M0,0,0,15,0,15,0,0,0,0,15,0,15,0,0,0
2o$2o$2o$2o$2o$2o$2o$2o$2o$2o$2o$2o!

[Moosey]

This rule is reversible and has several ships:

Code: Select all

M15,11,7,5,13,3,6,8,14,9,10,4,12,2,1,0

Code: Select all

x=1, y=1, rule = M15,11,7,5,13,3,6,8,14,9,10,4,12,2,1,0
o4$b2o!

[rowett]

Probably my favourite pattern:

Code: Select all

x = 46, y = 43, rule = M0,2,8,3,1,5,6,7,4,9,10,11,12,13,14,15
$35b5o$35bo3bo$35bo4bo$30b8o2bo$31b7o3bo$36b2o3bo$46o$46o$46o$46o$46o
$46o$46o$46o$46o$46o$46o$46o$46o$46o$46o$46o$46o$46o$46o$46o$46o$46o$
46o$46o$46o$46o$46o$46o$46o$46o$46o$46o$46o$46o$46o$46o!

[muzik]

Turns out I was right:

Code: Select all

x = 3, y = 16, rule = M0,0,0,15,0,15,0,0,0,0,15,0,15,0,0,0
b2o$b2o$b2o$b2o$b2o$b2o$b2o$b2o$b2o$b2o$b2o$b2o$b2o$b2o$b2o$b2o!

Also that rule is pretty nice to look at.

[GUYTU6J]

Code: Select all

x = 2, y = 1, rule = M0,0,0,2,3,5,8,13,6,4,10,14,9,8,2,15
2o!

Excuse me, can anyone tell me what do the numbers mean? Can't find it on Lifewiki.

[muzik]

This should clear things up: http://www.mirekw.com/ca/rullex_marg.html

[Gustone]

how to zoom and close lifeviewer on mobile

[rowett]

how to zoom and close lifeviewer on mobile

zoomclose.png (26.02 KiB) Viewed 11030 times

[Gustone]

how to zoom and close lifeviewer on mobile

zoomclose.png

too small screen for this to show up while i hold the phone horizontally and things are to small to tap when i hold it vertically

(but it is offtopic)

[rowett]

too small screen for this to show up while i hold the phone horizontally and things are to small to tap when i hold it vertically

(but it is offtopic)

I've made progress on this. Continue this discussion here.

[praosylen]

A fun, albeit explosive, reversible/isotropic/chiral rule:

Code: Select all

x = 67, y = 46, rule = M0,3,10,2,5,1,6,7,12,9,8,11,4,13,14,15
$3bo$bo$4bo$2bo28$3bo$bo3$56bo6bo$8bo6bo38bo10bo$2bo6bo6bo6bo8bo6bo6b
2o9bo6bo$24bo7b2o5b2o5b2o7bo10bo5$2o5b2o$2bo6bo!

[muzik]

Can all isotropic margolus rules be represented using alternating isotropic nontotalistic rules?

[rowett]

Sand - with a little bit of help.

Code: Select all

x = 0, y = 0, rule = Sand:P50,30
!
[[
PASTET EVERY 1
PASTE 50o! -26 13
PASTET EVERY 2
PASTE o! 0 -16
PASTET EVERY 4
PASTE o! -10 -16
PASTET EVERY 8
PASTE o! 10 -16
]]

[Gustone]

Can a gun exist in critters?

[praosylen]

Can a gun exist in critters?

Population is conserved in Critters, so infinite growth (such as a gun) is impossible.

EDIT: Nice reversible/strobing/pop-conserving/isotropic/chiral rule:

Code: Select all

x = 16, y = 16, rule = M15,13,7,12,14,10,9,1,11,6,5,2,3,4,8,0
14$31bobobo2bobob2o$28b2ob2o3bobo2b2o$30b2ob3o3b2o$30b2obo3bo2b3o$28b
2o4bo3b2o$30b3o2bobo4b2o$28bob3o3bobo3bo$28b2o4b2o3bobo$28bo2bobo3bo2b
4o$28b3o5b2ob2obo$31b2o5bo2bo$28bob5obobob4o$29b2o3b2o3b2o$28bob2obo4b
2o3bo$29b3ob2o3bo3bo$28bo3b2o5b2o2bo!

Reminiscent of TSRR, but single cells rotate in an octagonal pattern instead of a square one.

[Layz Boi]

A fun, albeit explosive, reversible/isotropic/chiral rule:

Code: Select all

x = 67, y = 46, rule = M0,3,10,2,5,1,6,7,12,9,8,11,4,13,14,15
$3bo$bo$4bo$2bo28$3bo$bo3$56bo6bo$8bo6bo38bo10bo$2bo6bo6bo6bo8bo6bo6b
2o9bo6bo$24bo7b2o5b2o5b2o7bo10bo5$2o5b2o$2bo6bo!

That rule is really fun!
Here's some oscillators, some extendable-period oscillators and a guest appearance by mr. flying tortilla chip.

Code: Select all

x = 88, y = 59, rule = M0,3,10,2,5,1,6,7,12,9,8,11,4,13,14,15
50bo22b2o$49b3o10bo9b3o$50bo9b4o8b5o6bo$53bo6bobo7b3o2b3o4b2o$52b3o8b
obo4b3o2b3o5b3o$53bo8b4o5b5o8b3o$63bo9b3o10b2o$73b2o11bo4$52b2o21bo$51b
2obo18bobo$5bo29bo7bo7b3obo17b3obo$b2o2bo9bo9bo8b3o5b4o8bob3o12b7o$3b
4o6bo10bobo8b3o4bob3o8bob2o13b7o$b4o11bo8bobo5b4o4b2o2bo10b2o14bob3o$
2bo2b2o7bo11bo15b4o28bobo$2bo41bo29bo7$11bo20b2o$2b2o7bo7bo12bo18bo20b
3o$2b2o6bobo6bo10b4obo4b2o6b4o11b2o5b5o3bo$2b2o6b2o6bobo9bob4o12bo4bo
6b2ob2o4b5o4b2o$2b2o14b2o13bo7bo8bo4bo3b2ob2o5b3o8bo$32b2o18b4o3b2o20b
o$52bo29bo$83bo$84bo$3bo81bo$4bo80b2o$3bobo$4bob2o$3bobobo$4bobob2o68b
o$3bobobobo67b2o$79b2o$79b2o$81b2o$81b2o$83b2o$83b2o4$77bo$78bo2$80b2o
$80bobo3$84b2o$84b2o!

[praosylen]

C/11 diagonal:

Code: Select all

x = 4, y = 4, rule = M0,3,10,2,5,1,6,7,12,9,8,11,4,13,14,15
$2bo$2bo$3o$3bo!

[rowett]

A sort of rotations rule.

Code: Select all

x = 252, y = 307, rule = M0,2,8,5,1,12,6,11,4,9,3,14,10,7,13,15:T500
$229b23o$229b23o$229b23o$229b23o$229b23o$229b23o$229b23o$229b23o$229b
23o$229b23o$229b23o$229b23o$229b23o$229b23o$229b23o$229b23o$229b23o$229b
23o$229b23o$229b23o$229b23o$229b23o$229b23o16$27b20o$27b20o$27b20o$27b
20o$27b20o$27b20o$27b20o$27b20o$27b20o$27b20o$27b20o$27b20o$27b20o$27b
20o$27b20o$27b20o$27b20o$27b20o$27b20o$27b20o229$b20o$b20o$b20o$b20o$
b20o$b20o$b20o$b20o$b20o$b20o$b20o$b20o$b20o$b20o$b20o$b20o$b20o$b20o
$b20o$b20o!
[[ ZOOM 1 STEP 50 DELETERANGE 5 NOTHROTTLE THEME Day ]]

[GUYTU6J]

What's the margolus equivalent of this rule?

Code: Select all

x = 1000, y = 8, rule = B3i/S2i5i8:T1000,0
1000o2$bobo7bo2bob2obob2o3b3o2bo2bo7b2o2b2ob8o2bo3bob2obobob2ob4o2b2o
2bob3ob3o8bo2bob3o2b4o2b2ob4o3b4o3bobob6o2bobo3b3ob2ob2o6b2obobobo3bob
ob3o2b4o3b2o2b7ob2o2b2o2b5o2b2ob2ob2obo3b2obo2b4ob3o2b3obobobob4ob3ob
2o2bobo2bobobo2b4obobob4o$3bobo3b2ob2ob4ob2obobo2bo3bob3obo2b2o2b3ob3o
3b2o2bo4b2o3bob2ob2ob3o2bob2o3b3o2b2o3bobo2bo3b3o3b3o2bo9bob2ob2o5b3o
6b5obo2bo2bo2b2o3b4o3b2o2b5obo5b3ob4obob3o2b3o3b5ob3obobob4o3bobo2bo3b
o5b2o2bo4bobob4obo2b3ob2o2bo4b2o4bo4bobo$b2o3b4o2b2o4b4obob2obo2bo2bob
ob5o5b3o2bobobob2o3b6ob2o2b3ob3obo2bobob2o3b2obobo2b4ob4o2bo3b2o2bob2o
bo3b6o2bo2bob4o3bobobo2b4obo3bo3bo2b5obobo7bo2b2o2b2o3bo2bo3b2o2b3ob3o
2bo4b2o3b3ob2obo2b3ob4o4bo5bob5o2bo4bo2bo3b2ob3o2b2o2b4o$bo3b5o2b3o5bo
2bo3b3o4b2ob2o2b2o3b2ob3o2bobo3bo3b4obo2b5obobobob7ob2o2bobo2b2ob6o2b
3o3b3ob2o2b7o2bob2o2bobo2bo2b2o4b2o4b2o4b2o2bob3obobob2obo2b2o6b3o4b7o
2b2o2bo4b2ob3o3b3obobo3b6o6b2o3bob2o2b3o2bobob2o3bob2o2b4o8bo2b2o$b2o
2b3ob2o3b3o2bob2o5b3o5bo2bob2o3b3ob2o5bo4b4o4bo2bo2bo4bo3b3obobo5b5o3b
2ob2o2bo5bob7o3b4o2b3obob3o8bo4b2o3bo3bo12b2o2bobo6bo2bo2b2o2b3o3bo4bo
4bo4bobo2b5ob2ob2o3bo2bo4b4o3bo3b2obobo7b2o2b2o2bobo2bob3obobobo$o4bo
4b2o4bo2bo2b3ob4o2b2ob5o6b2o4bobo3b3o5bobobo2bobo2b2o2b2o3bo4b2o4bo2b
6o5b3obobo5b3o2b2o2bo2bo2b6o2bobo3bo2bobob2obo4bo6b4o5b3o9b6o2b6obobob
2o4bo2bo4b4ob2o2b6o6b2o3b2obo2b3o2bo5bobo2b2obo3bo10b3o!

[Gustone]

Can a nonconserving reversible rule exist?

[praosylen]

Can a nonconserving reversible rule exist?

Yes. I don't know of any non-explosive ones, though.

[PHPBB12345]

Code: Select all

#C https://conwaylife.com/forums/viewtopic.php?p=80577#p80577
x = 9, y = 13, rule = M15,0,0,15,0,15,0,0,0,0,15,0,15,0,0,0
$b2o4b2o$b2o4b2o$b2o4b2o$b2o4b2o$7b2o$7b2o$7b2o$7b2o$b4o$b4o$b4o$b4o!

Code: Select all

#C https://conwaylife.com/forums/viewtopic.php?p=91376#p91376
x = 23, y = 25, rule = M15,0,0,15,0,15,15,0,0,15,15,0,15,0,0,0
$11b2o$11b2o$11b2o$11b2o$9b6o$9b6o$7b2o2b2o2b2o$7b2o2b2o2b2o$5b2o2b6o
2b2o$5b2o2b6o2b2o$b2o6b6o6b2o$b2o6b6o6b2o$b2o2b2o4b2o4b2o2b2o$b2o2b2o
4b2o4b2o2b2o$3b6o2b2o2b6o$3b6o2b2o2b6o$3b8o2b8o$3b8o2b8o$3b8o4b4o$3b8o
4b4o$3b8o$3b8o$5b4o$5b4o!

Code: Select all

#C https://conwaylife.com/forums/viewtopic.php?p=91376#p91376
x = 33, y = 143, rule = M15,0,0,15,0,15,15,0,0,15,15,0,15,0,0,0
$11b2o2b4o2b2o$11b2o2b4o2b2o$9b6o4b6o$9b6o4b6o$7b6o8b6o$7b6o8b6o$7b2o
4b2o4b2o4b2o$7b2o4b2o4b2o4b2o$13b8o$13b8o$9b4o8b4o$9b4o8b4o$7b6o8b6o$
7b6o8b6o$5b4o2b2o8b2o2b4o$5b4o2b2o8b2o2b4o$5b2o2b4o8b4o2b2o$5b2o2b4o8b
4o2b2o$5b4o2b2o8b2o2b4o$5b4o2b2o8b2o2b4o$5b6o12b6o$5b6o12b6o$5b6o12b6o
$5b6o12b6o$5b4o16b4o$5b4o16b4o5$3b2o24b2o$3b2o24b2o$3b2o24b2o$3b2o24b
2o$3b6o16b6o$3b6o16b6o$5b4o16b4o$5b4o16b4o$9b2o2b2o4b2o2b2o$9b2o2b2o4b
2o2b2o$11b2o8b2o$11b2o8b2o$13b8o$13b8o$11b4o4b4o$11b4o4b4o$9b2o12b2o$
9b2o12b2o$9b4o8b4o$9b4o8b4o$9b2o4b4o4b2o$9b2o4b4o4b2o$9b4o2b4o2b4o$9b
4o2b4o2b4o$9b2o12b2o$9b2o12b2o3$9b4o8b4o$9b4o8b4o$7b2o2b2o8b2o2b2o$7b
2o2b2o8b2o2b2o$5b8o8b8o$5b8o8b8o$5b4o2b2o8b2o2b4o$5b4o2b2o8b2o2b4o$b8o
16b8o$b8o16b8o$b8o4b2o4b2o4b8o$b8o4b2o4b2o4b8o$5b4o4b2o4b2o4b4o$5b4o4b
2o4b2o4b4o3$5b4o4b8o4b4o$5b4o4b8o4b4o$5b2o6b2o4b2o6b2o$5b2o6b2o4b2o6b
2o$11b4o4b4o$11b4o4b4o$7b8o4b8o$7b8o4b8o$11b4o4b4o$11b4o4b4o$7b2o4b2o
4b2o4b2o$7b2o4b2o4b2o4b2o$b2o2b2o2b6o4b6o2b2o2b2o$b2o2b2o2b6o4b6o2b2o
2b2o$b2o2b6o4b4o4b6o2b2o$b2o2b6o4b4o4b6o2b2o$3b2o2b2o2b2o8b2o2b2o2b2o$
3b2o2b2o2b2o8b2o2b2o2b2o$3b6o4b2o4b2o4b6o$3b6o4b2o4b2o4b6o$3b2o2b4o2b
2o4b2o2b4o2b2o$3b2o2b4o2b2o4b2o2b4o2b2o$3b6o2b2o8b2o2b6o$3b6o2b2o8b2o
2b6o$3b6o2b2o8b2o2b6o$3b6o2b2o8b2o2b6o$3b6o16b6o$3b6o16b6o$3b4o4b2o8b
2o4b4o$3b4o4b2o8b2o4b4o$3b4o2b2o2b2o4b2o2b2o2b4o$3b4o2b2o2b2o4b2o2b2o
2b4o$3b2o2b2o16b2o2b2o$3b2o2b2o16b2o2b2o$3b4o2b2o12b2o2b4o$3b4o2b2o12b
2o2b4o$3b4o20b4o$3b4o20b4o$3b4o4b4o4b4o4b4o$3b4o4b4o4b4o4b4o$3b4o2b16o
2b4o$3b4o2b16o2b4o$3b4o2b4o8b4o2b4o$3b4o2b4o8b4o2b4o$3b4o4b2o8b2o4b4o$
3b4o4b2o8b2o4b4o$3b4o20b4o$3b4o20b4o$3b4o6b2o4b2o6b4o$3b4o6b2o4b2o6b4o
$3b4o6b2o4b2o6b4o$3b4o6b2o4b2o6b4o$3b4o20b4o$3b4o20b4o$3b4o2b2o12b2o2b
4o$3b4o2b2o12b2o2b4o$3b2o2b2o2b2o8b2o2b2o2b2o$3b2o2b2o2b2o8b2o2b2o2b2o
$5b10o4b10o$5b10o4b10o$5b6o2b2o4b2o2b6o$5b6o2b2o4b2o2b6o$7b6o8b6o$7b6o
8b6o$15b4o$15b4o$15b4o$15b4o!

Code: Select all

#C https://conwaylife.com/forums/viewtopic.php?p=91376#p91376
x = 29, y = 25, rule = M15,0,0,15,0,15,15,0,0,15,15,0,15,0,0,0
$9b2o8b2o$9b2o8b2o$5b2o4b2o4b2o4b2o$5b2o4b2o4b2o4b2o$b2o4b6o4b6o4b2o$b
2o4b6o4b6o4b2o$b2o2b2o2b4o4b2o4b2o2b2o$b2o2b2o2b4o4b2o4b2o2b2o$3b4o2b
2o12b4o$3b4o2b2o12b4o$3b4o8b2o6b4o$3b4o8b2o6b4o$5b2o4b4o2b2o4b2o$5b2o
4b4o2b2o4b2o$11b8o$11b8o$3b6o2b8o2b6o$3b6o2b8o2b6o$3b6o2b8o2b6o$3b6o2b
8o2b6o$3b4o4b8o4b4o$3b4o4b8o4b4o$5b4o4b4o4b4o$5b4o4b4o4b4o!

Code: Select all

#C https://conwaylife.com/forums/viewtopic.php?p=102432#p102432
x = 9, y = 7, rule = M15,0,0,15,0,15,0,0,0,0,15,0,15,0,0,0
$b8o$b8o$b8o$b8o$3b2o2b2o$3b2o2b2o!

[PHPBB12345]

What's the margolus equivalent of this rule?

Code: Select all

x = 1000, y = 8, rule = B3i/S2i5i8:T1000,0
1000o2$bobo7bo2bob2obob2o3b3o2bo2bo7b2o2b2ob8o2bo3bob2obobob2ob4o2b2o
2bob3ob3o8bo2bob3o2b4o2b2ob4o3b4o3bobob6o2bobo3b3ob2ob2o6b2obobobo3bob
ob3o2b4o3b2o2b7ob2o2b2o2b5o2b2ob2ob2obo3b2obo2b4ob3o2b3obobobob4ob3ob
2o2bobo2bobobo2b4obobob4o$3bobo3b2ob2ob4ob2obobo2bo3bob3obo2b2o2b3ob3o
3b2o2bo4b2o3bob2ob2ob3o2bob2o3b3o2b2o3bobo2bo3b3o3b3o2bo9bob2ob2o5b3o
6b5obo2bo2bo2b2o3b4o3b2o2b5obo5b3ob4obob3o2b3o3b5ob3obobob4o3bobo2bo3b
o5b2o2bo4bobob4obo2b3ob2o2bo4b2o4bo4bobo$b2o3b4o2b2o4b4obob2obo2bo2bob
ob5o5b3o2bobobob2o3b6ob2o2b3ob3obo2bobob2o3b2obobo2b4ob4o2bo3b2o2bob2o
bo3b6o2bo2bob4o3bobobo2b4obo3bo3bo2b5obobo7bo2b2o2b2o3bo2bo3b2o2b3ob3o
2bo4b2o3b3ob2obo2b3ob4o4bo5bob5o2bo4bo2bo3b2ob3o2b2o2b4o$bo3b5o2b3o5bo
2bo3b3o4b2ob2o2b2o3b2ob3o2bobo3bo3b4obo2b5obobobob7ob2o2bobo2b2ob6o2b
3o3b3ob2o2b7o2bob2o2bobo2bo2b2o4b2o4b2o4b2o2bob3obobob2obo2b2o6b3o4b7o
2b2o2bo4b2ob3o3b3obobo3b6o6b2o3bob2o2b3o2bobob2o3bob2o2b4o8bo2b2o$b2o
2b3ob2o3b3o2bob2o5b3o5bo2bob2o3b3ob2o5bo4b4o4bo2bo2bo4bo3b3obobo5b5o3b
2ob2o2bo5bob7o3b4o2b3obob3o8bo4b2o3bo3bo12b2o2bobo6bo2bo2b2o2b3o3bo4bo
4bo4bobo2b5ob2ob2o3bo2bo4b4o3bo3b2obobo7b2o2b2o2bobo2bob3obobobo$o4bo
4b2o4bo2bo2b3ob4o2b2ob5o6b2o4bobo3b3o5bobobo2bobo2b2o2b2o3bo4b2o4bo2b
6o5b3obobo5b3o2b2o2bo2bo2b6o2bobo3bo2bobob2obo4bo6b4o5b3o9b6o2b6obobob
2o4bo2bo4b4ob2o2b6o6b2o3b2obo2b3o2bo5bobo2b2obo3bo10b3o!

Code: Select all

x = 13, y = 3, rule = M0,0,0,15,0,15,0,0,0,0,15,0,15,0,0,15
$b12o$b12o

[PHPBB12345]

Radioactive atom:

Code: Select all

#C [[ RANDOMIZE ]]
x = 20, y = 20, rule = M15,14,13,3,11,5,6,1,7,9,10,2,12,4,8,0
ob2obo3bobo2b2o2bo$4bobob2obo2b5o$bo5b2obo$b2ob2o2bo3b3o3bo$2o2b2ob4o
3bo2b2o$b2ob2ob2o5bob4o$bob2o3b3o2bo2b2o$b2o2b3o3bobobobo$5ob2obobo3bo
bobo$obobobo4bob2ob2obo$4b2o2bob5o2b2o$2b4o3bob6o2bo$3b2o3bob4ob2obo$
4bob2ob3obob2o$2o2b2o2b2o2b5o$4obo2b3o2b4o$5b2obo2bobobob3o$b2o2bob10o
$3ob8o2b2o2bo$2bo4b3o2b2obo!

Nuclear fission:

Code: Select all

x = 21, y = 9, rule = M15,14,13,3,11,5,6,1,7,9,10,2,12,4,8,0
$14bo4bo$13bo6bo$bo$2bo$2bo$bo$13bo6bo$14bo4bo!