Raul Miller asked:
>  In particular, I would like a mechanism for ;._3 to extend off the
>  edges of an array.

I'm not sure what you're asking, but is the following adverb a step in the
right direction?

    cfs =:  (&>) (@:(<@:[ {.&.> <;.3))

or to be more explicit:

    cfs =:  1 : (':';'u&> (<x) {.&.> x <;.3 y')  

Of course, this isn't as general as   ;.3  but it gives you the ability to
express concepts like:

           2 2 < cfs i. 3 3
        +---+---+---+
        |0 1|1 2|2 0|
        |3 4|4 5|5 0|
        +---+---+---+
        |3 4|4 5|5 0|
        |6 7|7 8|8 0|
        +---+---+---+
        |6 7|7 8|8 0|
        |0 0|0 0|0 0|
        +---+---+---+

Note that the shards have been filled (cfs stands for "cut filling
shards").  

I know you specifically asked about  ;._3  and not  ;.3  , but as I
interpret your question, you don't neccesarily want to exclude the shards,
but you do want to ensure all the cuboids are homogeneous in shape.  Here,
I use a combination of  ;.3  (including shards)  and  {.  (overtake) to
achieve that end.

Does that help?  If not, would you mind posting some sample inputs & ouputs?

-Dan
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