 
part of a basin of attraction of a value v=4, neighborhood k=3, size n=9, 1d cellular automaton, with the nodes shown in 2d. Below: the color scheme for v=4 cell values.  
complex kcode with many emerging gliders, glider guns, and selfreplicating structures, on hex lattice. Click to enlarge, click here for info.  
1d n=150 v=8 k=5 ktotalistic Altenberg rule, where lookup table entries are set according to a probability which depends on the frequency of colors in each neighborhood. This example was filtered to emphasise gliders. Click to enlarge. 
Discrete Dynamics Lab 
The most significant changes since the last binary release:
Multivalue DDLab includes many other new features, improvements and revisions, both major and minor, since the last official release in May 2002. Some of these, but not all, are listed below. The usual harvest of bugs have also been fixed (and not too may added  we hope!).
For previous updates since March 96,
click
Dec 03,
July 01,
Feb 99,
Sept 97.
 
complex kcode with emerging spirals on hex lattice. click to enlarge, click here for info 
These constraints conserve memory by reducing the size of lookup tables, which allow bigger valuerange/neighborhood (v/k) combinations. The max v/k supported is shown on the right. 
v k ktotalistic table size 2 25 26 3 25 351 4 25 3276 5 25 23751 6 17 26334 7 13 27132 8 11 31824 
v4k3 neighborhood matrix, sets out all possible neighborhoods
(vertically) in descending order of their 4ary decimal equivalents. The ruletable itself assigns a output value for each neighborhood. 
The max v/k supported for full lookup tables (which allow basins of attraction) is shown on the right. 
v k ktotalistic table size 2 13 8162 3 9 19683 4 7 16484 5 6 15629 6 5 7776 7 5 16807 8 4 4096 
To generate the basin of attraction field (not single basins or subtrees) the max v/n supported is shown on the right. 
v n 2 31 3 20 4 16 5 13 6 12 7 11 8 10 
As mentioned earlier, the max neighborhood size when DDLab is constrained to run forwardonly, for just totalistic rules, is k=25 (for v>5 k is reduced). For the full lookup table, maxk=13 (for v>3 k is also reduced).
The predefined 2d neighborhoods have been extended up to k=25
on a square and hex lattice. The layouts try to achieve a reasonable
symmetry, which is not always possible. Only the symmetric neighbourhoods
are shown below, defaults have a black background. If square and hex
are equally symmetric, square is the default. The asymmetric layouts
not shown can still be selected.
To force hex for any k there is a new option
in the top right WIRING prompt.
k=4  k=5  k=6  k=7  k=8  k=9  k=10  k=11  k=12  k=13  k=14  k=15  
square lattice  
hex lattice 
k=16  k=17  k=18  k=19  k=20  k=21  k=22  k=23  k=24  k=25  
square lattice  
hex lattice 
In the "on the fly" prompts when running forward in 2d, there is a new prompt to change between square or hex presentation,
Creating an initial state with the bit drawing options for a 2d network, v=8. 
This is the updated top right prompt with the various bit drawing options if v=4 for 2d...
These files are in dd_extra.tar.gz and include the following, rule sample automatic classification files:

An automatically classified sample of about 16000 v=3 k=6 kcode rules
for 2d hex CA 
The "unslant" option, rule 153, Click to enlarge. 
rules
In the first method, select outer ktotalystic, as described in section Forward only for just totalistic rules
As a full lookup table, at the prompt for selecting a rule, enter R (... RDR ...). Note that max v/k allowed is smaller than with the outer ktotalystic rule method.
ReactionDiffusion on a 255x255 square grid,
v=5: 0 rest, 1 excited, 2 to 5 refractory.
The threshold interval is 3 to 15.
k=24 random connections within a
12 cell diameter local zone.
ReactionDiffusion on a 255x255 square grid k=11, v=8: 0 rest, 1 excited, 2 to 11 refractory. The threshold interval is 2 to 7. k=11 random connections within a 12 cell diameter local zone. 