How  rotate a cube f1 to its edges are parallel to another cube (f2) ?

I have two 3 dimensional orthogonal sets of the 1444 observation in each.

julia> size(f1)
(1444,3)
julia> size(f2)
(1444,3)

cor in each are real 0,

julia> cor(f1)
3x3 Array{Float64,2}:
  1.0          -2.39743e-16   3.8112e-16
 -2.39743e-16   1.0          -2.02954e-16
  3.8112e-16   -2.02954e-16   1.0

julia> cor(f2)
3x3 Array{Float64,2}:
  1.0          -5.55883e-17  1.76522e-17
 -5.55883e-17   1.0          1.70523e-15
  1.76522e-17   1.70523e-15  1.0

There are also orthogonal: angle in degrees matrix of f1

3x3 Array{Float64,2}:
  0.0  90.0  90.0
 90.0   0.0  90.0
 90.0  90.0   0.0
 
angle in degrees matrix of f2
3x3 Array{Float64,2}:
  0.0  90.0  90.0
 90.0   0.0  90.0
 90.0  90.0   0.0
 
 
but angle in degrees betwen f1 and f2 are:
90.6388  91.4539  88.8789
92.2294  90.6144  89.2666
88.8462  89.6773  92.377
 
angle in degrees betwen f2 and f1 are:

90.6388  92.2294  88.8462
91.4539  90.6144  89.6773
88.8789  89.2666  92.377

How rotate one of the cube to edges f1 are parallel to f2 ?

first col f1 parallele to first col of f2 . etc...

Paul

 

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