  One of the most celebrated works of Professor Madore is the introduction of
fuzzy sphere. I briefly review how the fuzzy two-sphere and its higher
dimensional cousins are realized in the (spherical) Landau models in
non-Abelian monopole backgrounds. For extracting quantum geometry from the
Landau models, we evaluate the matrix elements of the coordinates of spheres in
the lowest and higher Landau levels. For the lowest Landau level, the matrix
geometry is identified as the geometry of fuzzy sphere. Meanwhile for the
higher Landau levels, the obtained quantum geometry turns out to be a nested
matrix geometry with no classical counterpart. There exists a hierarchical
structure between the fuzzy geometries and the monopoles in different
dimensions. That dimensional hierarchy signifies a Landau model counterpart of
the dimensional ladder of quantum anomaly.
