[R] Create a multi dimensional array from a data frame

[LCOG1]

Hello all, 
   I have data from a csv that i need to coerce into a multi dimensional
array.  As you can see from my sample code i have yet to master building
efficient code.  I can sort of do what i want but its very cumbersome code
and i know there is a better way to do it, i am just not expereinced enought
yet.  So for the following:

#Create Data
h1i1a1<-sample(1:20, 5, replace=TRUE)
h1i1a2<-sample(1:20, 5, replace=TRUE)
h1i1a3<-sample(1:20, 5, replace=TRUE)
h1i2a1<-sample(1:20, 5, replace=TRUE)
h1i2a2<-sample(1:20, 5, replace=TRUE)
h1i2a3<-sample(1:20, 5, replace=TRUE)
h1i3a1<-sample(1:20, 5, replace=TRUE)
h1i3a2<-sample(1:20, 5, replace=TRUE)
h1i3a3<-sample(1:20, 5, replace=TRUE)
h1i4a1<-sample(1:20, 5, replace=TRUE)
h1i4a2<-sample(1:20, 5, replace=TRUE)
h1i4a3<-sample(1:20, 5, replace=TRUE)
h2i1a1<-sample(1:20, 5, replace=TRUE)
h2i1a2<-sample(1:20, 5, replace=TRUE)
h2i1a3<-sample(1:20, 5, replace=TRUE)
h2i2a1<-sample(1:20, 5, replace=TRUE)
h2i2a2<-sample(1:20, 5, replace=TRUE)
h2i2a3<-sample(1:20, 5, replace=TRUE)
h2i3a1<-sample(1:20, 5, replace=TRUE)
h2i3a2<-sample(1:20, 5, replace=TRUE)
h2i3a3<-sample(1:20, 5, replace=TRUE)
h2i4a1<-sample(1:20, 5, replace=TRUE)
h2i4a2<-sample(1:20, 5, replace=TRUE)
h2i4a3<-sample(1:20, 5, replace=TRUE)
h3i1a1<-sample(1:20, 5, replace=TRUE)
h3i1a2<-sample(1:20, 5, replace=TRUE)
h3i1a3<-sample(1:20, 5, replace=TRUE)
h3i2a1<-sample(1:20, 5, replace=TRUE)
h3i2a2<-sample(1:20, 5, replace=TRUE)
h3i2a3<-sample(1:20, 5, replace=TRUE)
h3i3a1<-sample(1:20, 5, replace=TRUE)
h3i3a2<-sample(1:20, 5, replace=TRUE)
h3i3a3<-sample(1:20, 5, replace=TRUE)
#Put into data frame
hia<-data.frame(h1i1a1,h1i1a2,h1i1a3,h1i2a1,h1i2a2,h1i2a3,h1i3a1,h1i3a2,h1i3a3,h1i4a1,h1i4a2,h1i4a3,h2i1a1,h2i1a2,h2i1a3,h2i2a1,h2i2a2,h2i2a3,h2i3a1,h2i3a2,h2i3a3,h2i4a1,h2i4a2,h2i4a3,h3i1a1,h3i1a2,h3i1a3,h3i2a1,h3i2a2,h3i2a3,h3i3a1,h3i3a2,h3i3a3)

i would like to produce a multidimensional array that looks something like 

      h1     h2     h3    
i1    X       X      X
i2    X       X      X
i3    X       X      X

a = 1 , TAZ = 1:5 ->for all 5 TAZ values or each row

      h1     h2     h3    
i1    X       X      X
i2    X       X      X
i3    X       X      X

a = 2 , TAZ = i in 1:5 

      h1     h2     h3    
i1    X       X      X
i2    X       X      X
i3    X       X      X

a = 3 , TAZ = i in 1:5 

Basically a  matrix for all possible combination, so 27 matrices altogether. 
But i guess its more like an array of arrays?  Again i am not being lazy, i
have been working on this all day but my code, like my sample stuff is very
inefficient and ultimately not working well so im not bothering to post it. 
I know this will be complicated so thank you in advance, seeing the end code
will teach me a great deal.  Thanks

Cheers, 
JR
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