  A dynamical fuzzy space might be described in terms of a dynamical
three-index variable C_{ab}^c, which determines the algebraic relations f_a f_b
=C_{ab}^c f_c of the functions f_a on a fuzzy space. A fuzzy analogue of the
general coordinate transformation would be given by the general linear
transformation on f_a. The solutions to the invariant equations of motion of
C_{ab}^c can be generally constructed from the invariant tensors of Lie groups.
Euclidean models the actions of which are bounded from below are introduced.
Lie group symmetric solutions to a class of Euclidean model are obtained. The
analysis of the fluctuations around the SO(3) symmetric solution shows that the
solution can be regarded as a fuzzy S^2/Z_2.
