A pattern in Duality with unusual growth

For discussion of other cellular automata.
Post Reply
Jackk
Posts: 116
Joined: March 13th, 2012, 3:49 pm

A pattern in Duality with unusual growth

Post by Jackk » December 26th, 2014, 7:51 pm

I accidentally discovered a rake pattern that fires c ships, outputting one slower and slower:

Code: Select all

x = 19, y = 22, rule = duality
3.A$4.B$.A2.B$2.B$A15.A$17.B$15.A2.B$16.B.B3$16.B.B$16.B.B3$16.B.B$
15.A2.B$17.B$A15.A$2.B$.A2.B$4.B$3.A!
Can anyone work out how the population grows over time? I would be very interested in finding out.

User avatar
lukebradford
Posts: 101
Joined: October 11th, 2013, 8:07 pm
Location: Cambridge, MA
Contact:

Re: A pattern in Duality with unusual growth

Post by lukebradford » December 29th, 2014, 2:16 pm

Can you post the rule table?

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

Re: A pattern in Duality with unusual growth

Post by flipper77 » December 29th, 2014, 7:28 pm

lukebradford wrote:Can you post the rule table?
Here is the rule table updated from old format:

Code: Select all

@RULE Duality

@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var 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}

# Birth
0,1,1,1,0,0,0,0,0,1
0,2,2,0,0,0,0,0,0,2
0,2,1,0,0,0,0,0,0,1

# Survival
1,1,1,0,0,0,0,0,0,1
1,1,1,1,0,0,0,0,0,1

# Death
1,a,b,c,d,e,f,g,h,0
2,a,b,c,d,e,f,g,h,0

User avatar
Kiran
Posts: 285
Joined: March 4th, 2015, 6:48 pm

Re: A pattern in Duality with unusual growth

Post by Kiran » April 1st, 2015, 8:29 pm

I cannot get that pattern to copy properly.
By the way, a simple "tame" breeder.

Code: Select all

x = 4, y = 7, rule = Duality
.2B$A2.A2$.2A$.2A$A2.A$A!
Kiran Linsuain

wildmyron
Posts: 1542
Joined: August 9th, 2013, 12:45 am
Location: Western Australia

Re: A pattern in Duality with unusual growth

Post by wildmyron » April 1st, 2015, 11:25 pm

Kiran wrote:I cannot get that pattern to copy properly.
That's probably due to the difference in case within the rule name. Try changing the rule in the pattern to "Duality" in place of "duality" before pasting in to Golly.
The 5S project (Smallest Spaceships Supporting Specific Speeds) is now maintained by AforAmpere. The latest collection is hosted on GitHub and contains well over 1,000,000 spaceships.

Semi-active here - recovering from a severe case of LWTDS.

User avatar
Kiran
Posts: 285
Joined: March 4th, 2015, 6:48 pm

Re: A pattern in Duality with unusual growth

Post by Kiran » April 1st, 2015, 11:31 pm

Thanks, it worked.
The rate appears to be logarithmic but I did not examine it in depth.
Kiran Linsuain

User avatar
BlinkerSpawn
Posts: 1992
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: A pattern in Duality with unusual growth

Post by BlinkerSpawn » June 18th, 2015, 8:33 pm

This puffer is pretty unusual:

Code: Select all

x = 24, y = 37, rule = Duality
7.2B5.2B$6.A2.A3.A2.A2$7.2A5.2A$7.2A5.2A$6.A2.A3.A2.A$6.A2.A3.A2.A$5.
2A2.2A.2A2.2A$6.5A.5A$7.2A.A.A.2A$9.2A.2A$4.2A11.2A3$6.2A7.2A$5.A11.A
2$4.A13.A$5.A2.A5.A2.A$6.A9.A4$9.2A.2A$3.2B4.2A.2A$2.A2.A13.2B$18.A2.
A$3.2A$3.2A14.2A$2.A2.A13.2A$2.A2.A12.A2.A$.2A2.2A11.A2.A$2.5A10.2A2.
2A$3.2A.A10.5A$5.2A10.A.2A$2A15.2A$22.2A!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Image

Post Reply