Iceballs

For discussion of other cellular automata.
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12Glider
Posts: 79
Joined: December 17th, 2010, 4:56 pm

Iceballs

Post by 12Glider » August 5th, 2011, 8:35 am

Also known as B25678/S5678 or Ice 9, This rule has chaotic explosive growth with a twist; In the mess, random coagulated masses of cells, called iceballs, form and grow over time. Post patterns that you have found for this rule in this thread.

Spacefiller:

Code: Select all

x = 10, y = 10, rule = B25678/S5678
4b2o$3bo2bo$2bob2obo$bob4obo$ob6obo$ob6obo$bob4obo$2bob2obo$3bo2bo$4b
2o!
Image

Why hasn't a glider exploded yet?

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Extrementhusiast
Posts: 1833
Joined: June 16th, 2009, 11:24 pm
Location: USA

Re: Iceballs

Post by Extrementhusiast » August 5th, 2011, 6:14 pm

This one begins in an interesting way:

Code: Select all

x = 3, y = 1, rule = B25678/S5678
obo!
I Like My Heisenburps! (and others)

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12Glider
Posts: 79
Joined: December 17th, 2010, 4:56 pm

Re: Iceballs

Post by 12Glider » August 5th, 2011, 8:36 pm

Extrementhusiast wrote:This one begins in an interesting way:

Code: Select all

x = 3, y = 1, rule = B25678/S5678
obo!
It appears to almost be a failed replicator.
Image

Why hasn't a glider exploded yet?

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velcrorex
Posts: 339
Joined: November 1st, 2009, 1:33 pm

Re: Iceballs

Post by velcrorex » August 8th, 2011, 12:53 pm

Some ships listed here http://fano.ics.uci.edu/ca/rules/b25678s5678/

Don't know if there's a collection for this rule anywhere.

I found a couple c/4 diagonal ships.

Code: Select all

x = 59, y = 35, rule = 5678/25678
8bo24bo$8bobo22bobo$6bo24bo$10b3o22boo$10bobbo20bo$8bo27bo$bbo3bo7bo
18bo$7bobboo14bo4boo3boo$oo3bo5bo19b4obbo$12bo11boo4bobo4bo$boboobbo3b
o16bo3bo3boo$3bo3boobobo12bobo18bo$3bo5bobo3bo11bobobobbo4bo8bo$4bo26b
4obbobo3bobbo$6bo31bobbo4bo$12bo23boo7boo$42bo5bo$38bo5bobo$40bo3bobo$
37bo13bo$41boo3boo3bobo$39bo7bobo$35bob3oboobobbo5b3o$44b3o6bobbo$36bo
3bo10bo$45bo3bo7bo$50bobboo$43boo3bo5bo$55bo$44boboobbo3bo$46bo3boobob
o$46bo5bobo3bo$47bo$49bo$55bo!
Edit:
And a c/4 orthogonal backwards rake:

Code: Select all

x = 37, y = 24, rule = 5678/25678
18bo$16bobo8bo$6bo10bo3b4o$7boo7bo4bobo$11bo14bo$3bobbo10bo4bo5bo$3bo
4boo3b3o9bobo$9boboo3bobbobo$oo5bo5b3o3bo$bbo6b9o$bo3bob11o6bo4bo4bo$
5bob12obbo4bo4bo4bo$5bob12obbo4bo4bo4bo$bo3bob11o6bo4bo4bo$bbo6b9o$oo
5bo5b3o3bo$9boboo3bobbobo$3bo4boo3b3o9bobo$3bobbo10bo4bo5bo$11bo14bo$
7boo7bo4bobo$6bo10bo3b4o$16bobo8bo$18bo!
-Josh Ball.

flipper77
Posts: 197
Joined: October 24th, 2010, 3:25 am
Location: Spokane, WA

Re: Iceballs

Post by flipper77 » August 30th, 2011, 6:46 pm

A small p10 oscillator:

Code: Select all

x = 4, y = 4, rule = B25678/S5678
b3o$ob2o$2obo$3o!
Here's a predecessor:

Code: Select all

x = 4, y = 4, rule = B25678/S5678
b3o$o2bo$o2bo$3o!
I'm somewhat surprised since this rule is explosive

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Tropylium
Posts: 406
Joined: May 31st, 2011, 7:12 pm
Location: Finland

Re: Iceballs

Post by Tropylium » September 2nd, 2011, 9:47 pm

12Glider wrote:This rule has chaotic explosive growth with a twist; In the mess, random coagulated masses of cells, called iceballs, form and grow over time.
The closely related B2568/S5678 is perhaps even better described as an "ice-9" rule: this is also randomly exploding, iceballs still grow, and small iceball-ish seeds still appear in the chaos — but the initial occurrence of any that would be of sufficient size to grow is extremely rare, so you'd normally peg this as a rule where random chaos is the only kinetically stable phase.

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