  A point of a metric space is called a geodesic star with $m$ arms if it is
the endpoint of $m$ disjoint geodesics. For every $m\in\{1,2,3,4\}$, we prove
that the set of all geodesic stars with $m$ arms in the Brownian sphere has
dimension $5-m$. This complements recent results of Miller and Qian, who proved
that this dimension is smaller than or equal to $5-m$.
