List of Magic Arrays and their Hilbert Bases and Extremal Rays
3x3 magic square

matrix
Hilbert basis
extremal rays

4x4 magic square

matrix
Hilbert basis
extremal rays

5x5 magic square

matrix
Hilbert basis
extremal rays

6x6 magic square

matrix
Hilbert basis
extremal rays

3x3 pan magic square

matrix
Hilbert basis
extremal rays

4x4 pan magic square

matrix
Hilbert basis
extremal rays

5x5 pan magic square

matrix
Hilbert basis
extremal rays

3x3x3 semi-magic cube

matrix
Hilbert basis
extremal rays

3x3x3 magic cube

matrix
Hilbert basis
extremal rays

3x3x3x3 semi-magic cube

matrix

3x3x3x3 magic cube

matrix
Hilbert basis
extremal rays