Mike, I think the “tacit” and “explicit” versions are in Brian’s email below 
(last 2 code lines)…/Regards Rob

>> $cntrl filters&(link"2) tesl"3 2 image NB. "tacit"
>> 3 2 2 3 2 2
>>  $filters(4 : 'cntrl x&(link"2) tesl y')"3 2 image NB. "explicit"
>> 3 2 2 2 2

So Brian wants “tacit" to return same shape as “explicit” (ie without the 4th 
dimension of “3”).

…/Rob

> On 21 May 2019, at 8:49 am, 'Mike Day' via Programming 
> <programm...@jsoftware.com> wrote:
> 
> Brian,   did you intend to show us the explicit form(s)?
> 
> Mike
> 
> Sent from my iPad
> 
>> On 20 May 2019, at 20:20, Brian Schott <schott.br...@gmail.com> wrote:
>> 
>> I am working with dyadic tessellations using `tesl` below. There are 2
>> versions that give different results: "tacit" and "explicit" . The
>> "explicit" version works well for me, but I cannot duplicate the results
>> with the "tacit" format.
>> 
>> So, I am wondering if anyone can tease the "tacit" format into the desired
>> result?
>> 
>> Notice that the shapes of both "filters" and "image" are prefixed with 3's
>> and as a result the shape of the result reflects the 3 separate
>> tessellations.  But my "tacit" version has an extra 3-shaped dimension in
>> resulting shape.
>> 
>>  tesl =: ;._3
>>  link =: ;
>>  cntrl =: 1 1,:2 2
>>  filters =: 10+i.3 2 2 2
>>  image =: 3 3 3$'abcdefghi','ABCDEFGHI',|.'abcdefghi'
>>  $cntrl filters&(link"2) tesl"3 2 image NB. "tacit"
>> 3 2 2 3 2 2
>>  $filters(4 : 'cntrl x&(link"2) tesl y')"3 2 image NB. "explicit"
>> 3 2 2 2 2
>> 
>> 
>> (Btw, I have been using a trick to economize on the vertical space needed
>> to screen-print the results in my experiments. An alternative to prefixing
>> the expressions with "$" as in the expressions below, I have found that the
>> prefix ",." can be quite effective.)
>> 
>> Thanks,
>> 
>> -- 
>> (B=)
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