  We examine the spinning behavior of egg-shaped axisymmetric bodies whose
cross sections are described by several oval curves similar to real eggs with
thin and fat ends. We use the gyroscopic balance condition of Moffatt and
Shimomura and analyze the slip velocity of the bodies at the point of contact
as a function of $\theta$, the angle between the axis of symmetry and the
vertical axis, and find the existence of the critical angle $\theta_c$. When
the bodies are spun with an initial angle $\theta_{\rm initial}>\theta_c$,
$\theta$ will increase to $\pi$, implying that the body will spin at the thin
end. Alternatively, if $\theta_{\rm initial}<\theta_c$, then $\theta$ will
decrease. For some oval curves, $\theta$ will reduce to 0 and the corresponding
bodies will spin at the fat end. For other oval curves, a fixed point at
$\theta_f$ is predicted, where $0 <\theta_f< \theta_c$. Then the bodies will
spin not at the fat end, but at a new stable point with $\theta_f$. The
empirical fact that eggs more often spin at the fat than at the thin end is
explained.
