MAXRD SYMBOL
ConstructDomains
ConstructDomains[{A,B,C},n,c]
constructs an A×B×C structure of n domains iterated c cycles.
ConstructDomains["SectorRegions",{A,B,C},{{p,w,φ}…}]
constructs an A×B×C structure with a series of sector-shaped domains, each domain having p pairs of sectors with width w using a start angle φ.
Details and Options
- First a list of coordinates is made based on the given size. From this an association is made mapping coordinates to a random integer (domain identifier). The procedure is then to loop through each “block”, count its neighbours and use a random number to decide whether to change identifier of this block (with probability given by "TransitionProbabilities"). If a transition is to take place, a random neighbour is “copied” to the block in question. Visitation of all blocks comprises one cycle.
- Output is on the form
where 
is a list of integers representing domain identifiers, being in an order where the first is associated with 
and the following with the increments of 
, then 
, then 
. - If the number of cycles are set to zero (
) the output will be a randomised structure. - Options:
-
"ReturnAllCycles" False return the state of all cycles passed "ShowProgess" False whether to display a progress bar "TransitionProbabilities" <0 0.95, 1 0.92, 2 0.86, 3 0.75, 4 0.4, 5 0.5, 6 0.75, 7 0.12, 8 0.03> maps number of domains equal to self to transition probability
