  The analytical solution of the three--dimensional linear pendulum in a
rotating frame of reference is obtained, including Coriolis and centrifugal
accelerations, and expressed in terms of initial conditions. This result offers
the possibility of treating Foucault and Bravais pendula as trajectories of the
very same system of equations, each of them with particular initial conditions.
We compare with the common two--dimensional approximations in textbooks. A
previously unnoticed pattern in the three--dimensional Foucault pendulum
attractor is presented.
