Thank you, I will take a look.  Is the "concept" of my proposed display 
correct?  I have peeked at yours and it appears to be for open arrays.  (Full 
details of mine are in a post following this one of yours.)

Roger Hui wrote:
> Have you seen http://www.jsoftware.com/jwiki/Essays/Tree%20Display ?
> 
> 
> 
> ----- Original Message -----
> From: Kip Murray <[email protected]>
> Date: Wednesday, August 19, 2009 11:33
> Subject: Re: [Jprogramming] Box tree
> To: Programming forum <[email protected]>
> 
>> Answering queries from Raul, here are more example tree 
>> displays. Lovingly 
>> created by hand, these are in organization chart style.  It 
>> might be better to 
>> rotate them 90 degrees counterclockwise so they open to the 
>> right instead of 
>> down.  THERE WAS AN ERROR IN THE ORIGINAL POST, see the 
>> note following the 
>> examples here.
>>
>> Array structure is indicated with '.' , box structure with 'o', 
>> but leaves are 
>> not shown as trees.  Levels are in brackets.
>>
>> Can you write a verb that produces a bare tree display -- dots 
>> and ohs and 
>> connectors but no levels, leaves, or array name?  We can 
>> add those later.
>>
>>
>>     ]u =: i.&.>1+i.3
>> +-+---+-----+
>> |0|0 1|0 1 2|
>> +-+---+-----+
>>
>>                               u
>>                       ________._[1]____
>>                      |        |        |
>>                      |        |        |
>>                      o [0]    o [0]    o [0]
>>                      0       0 1     0 1 2
>>
>>
>>     ]v =: i.&.>1+i. 2 2
>> +-----+-------+
>> |0    |0 1    |
>> +-----+-------+
>> |0 1 2|0 1 2 3|
>> +-----+-------+
>>
>>                                      v
>>                        ______________._[1]___________
>>                       |                              |
>>                       |                              |
>>               ________._[1]____              ________._[1]____
>>              |                 |            |                 |
>>              |                 |            |                 |
>>              o [0]             o [0]        o [0]             o [0]
>>              0                0 1         0 1 2            0 1 2 3
>>
>>
>>     ]w =: i.&.>1+i. 2 2 2
>> +-------------+---------------+
>> |0            |0 1            |
>> +-------------+---------------+
>> |0 1 2        |0 1 2 
>> 3        |
>> +-------------+---------------+
>>
>> +-------------+---------------+
>> |0 1 2 3 4    |0 1 2 3 4 5    |
>> +-------------+---------------+
>> |0 1 2 3 4 5 6|0 1 2 3 4 5 6 7|
>> +-------------+---------------+
>>
>>                                       w
>>                   ____________________._[1]_________________
>>                  |                                          |
>>                  |                                          |
>>          
>> ________._[1]_____                       __________._[1]_____
>>         
>> |                  |                     |                    |
>>         
>> |                  |                     |                    |
>>   ______._[1]__        
>> ____._[1]__           ____._[1]_           ___._[1]_
>> |             |      |           |         |          |         |         |
>> |             |      |           |         |          |         |         |
>> o [0]         o 
>> [0]  o [0]       o 
>> [0]     o [0]      
>> o [0]     o [0]     o [0]
>> 0            0 1   0 1 2      0 1 2 3  0 1 2 ...  0 1 2 ... 0 1 2 ... 0 1 2 
>> ...
>>
>>
>> See the original post (below) for an example of more complicated 
>> box structure. 
>>      THE TREE DISPLAY THERE IS IN ERROR, 
>> because one of the boxes contained a 
>> list of boxes, and that list should have been shown with a '.' 
>> just beneath the 
>> 'o' where where the [2] marker is, with the rest of that side 
>> emanating from the 
>> '.'.  The correct display of the list is like that in the 
>> first example above. 
>> In a later post I will correct the display, changing to the now 
>> preferred 
>> organization chart style.
>>
>>
>> Kip Murray wrote:
>>> Here is an array from the L: Level At page in the 
>> Dictionary.  Below is a tree 
>>> display representing the array and showing levels (square 
>> brackets) and leaves.
>>> Your mission, should you decide to accept it, is to write a 
>> verb boxtree such 
>>> that "boxtree array" produces as much of the tree display as 
>> is practical.
>>> To begin with, just produce the bare tree.  Each 'o' 
>> represents a box.  We can 
>>> work on adding level markers, leaves, and the name of the 
>> array later.
>>> I hope the array and tree display well in your email 
>> reader.  I sent them in 
>>> Unicode Courier New as defined by Microsoft's WordPad and 
>> transformed by 
>>> Thunderbird (email program).
>>>
>>> Kip
>>>
>>>        ] y=: (<<2 3 
>> 4),<(5 6 ; <<i. 2 3)
>>> +-------+-------------+
>>> |+-----+|+---+-------+|
>>> ||2 3 4|||5 6|+-----+||
>>> |+-----+||   ||0 1 2|||
>>> |       ||   ||3 4 5|||
>>> |       ||   |+-----+||
>>> |       |+---+-------+|
>>> +-------+-------------+
>>>
>>>
>>>                       y
>>>                       .  [3]
>>>                      / \
>>>                     /   \
>>>                    /     \
>>>                   /       \
>>>                  /         \
>>>                 /           \
>>>                /             \
>>>           [1] 
>> o               o  [2]
>>>               |              / \
>>>               |             /   \
>>>               |            /     \
>>>               |           /       \
>>>           [0] 
>> o      [0] 
>> o         o  [1]
>>>             2 3 4       5 6        |
>>>                                    |
>>>                                    |
>>>                                    o  [0]
>>>                                  0 1 2
>>>                                  3 4 5
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