Dilate
From NARS2000


R is an arbitrary Real or Hypercomplex numeric array — otherwise, DOMAIN ERROR.  
Z is the corresponding array of Real numbers of shape (⍴R),=R where =R is the Hypercomplex dimension (1, 2, 4, or 8) of R. 
For example,
⍴⎕←>23
23
1
⍴⎕←>2 2⍴⍳4
1
2
3
4
2 2 1
⍴⎕←>2 2⍴1J2 3J4 4J3 2J1
1 2
3 4
4 3
2 1
2 2 2
⍴⎕←>2 2⍴1i2j3k4 5i6j7k8 8i7j6k5 4i3j2k1
1 2 3 4
5 6 7 8
8 7 6 5
4 3 2 1
2 2 4
⍴⎕←>2 2⍴1i2j3k4l5ij6jk7kl8 9i10j11k12l13ij14jk15kl16 16i15j14k13l12ij11jk10kl9 8i7j6k5l4ij3jk2kl1
1 2 3 4 5 6 7 8
9 10 11 12 13 14 15 16
16 15 14 13 12 11 10 9
8 7 6 5 4 3 2 1
2 2 8
Identities
R ←→ <>R for all R (see Condense for the definition of monadic Left Caret)
R ←→ ><R for all R with (¯1↑⍴R)∊1 2 4 8
Acknowledgements
This symbol and its name were suggested by David A. Rabenhorst.