How do I create an array a of generic depth $n+1$, such that exactly:

a[[i1]][[i2]]...[in]] = {i1,i2,...,in} ?

In words, such that the last-level arrays are arrays telling exactly their position in the previous levels?


  • $\begingroup$ @Kuba wow, much more elegant than my solution. $\endgroup$ – yohbs Oct 20 '15 at 10:41

Like this?

Table[{i, j, k, l}, {i, 4}, {j, 2}, {k, 4}, {l, 3}]

If dimList is a list of the desired dimenions then you can automate this via

makeArray[dimList_List] := Table[
  Array[x, Length[dimList]],
  Evaluate[Sequence @@ Transpose@{Array[x, Length[dimList]], dimList}]


Kuba's solution in the comments is much more elegant:

  • $\begingroup$ Yes...but the depth is unknown and unfixed. How do I make it work for every depth? $\endgroup$ – geodude Oct 20 '15 at 10:31
  • $\begingroup$ Yup! Thank you. $\endgroup$ – geodude Oct 20 '15 at 10:36
  • $\begingroup$ I edited to make the structure a little more transparent $\endgroup$ – yohbs Oct 20 '15 at 10:37

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