  It is generally believed that the space has a nontrivial structure which is
apparent on the order of the Planck length. There is a class of models of
three-dimensional quantum spaces constructed using different mathematical
tools. Also, there is another class of models with matrix descriptions of
spaces of various dimensions and geometries with built-in momentum cut-off --
these are called fuzzy spaces; the fuzzy sphere is a prominent example. In this
paper, we describe how to connect various spheres together to foliate a
three-dimensional space dubbed the fuzzy onion.
