Is there a way to rotate 3D arrays in Julia?

Question

I am trying to rotate a 3D array in julia as if it represents a physical object in 3D space. Essentially, I want to know if there is a way to rotate an array by increments of 90 degrees along the x-, y-, and/or the z-axis.

In 2D it would be something like this if I were to rotate counter-clockwise...

1 2 3           3 6 9
4 5 6   ----->  2 5 8
7 8 9           1 4 7

I would want the same logic to apply in 3D as well.

Any help is appreciated.

Answer 1

For two-dimensional Matrices you have functions such as rotl90, rotr90 and rot180. Those can be combined with mapslices to get the desired effect. For an example below is a rotation over dimensions 1 and 2 for each cut of array in the dimension 3.

julia> A=collect(reshape(1:27,3,3,3))
3×3×3 Array{Int64,3}:
[:, :, 1] =
 1  4  7
 2  5  8
 3  6  9

[:, :, 2] =
 10  13  16
 11  14  17
 12  15  18

[:, :, 3] =
 19  22  25
 20  23  26
 21  24  27


julia> mapslices(rotr90,A,dims=[1,2])
3×3×3 Array{Int64,3}:
[:, :, 1] =
 3  2  1
 6  5  4
 9  8  7

[:, :, 2] =
 12  11  10
 15  14  13
 18  17  16

[:, :, 3] =
 21  20  19
 24  23  22
 27  26  25