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Any infinite graph has site and bond percolation critical probabilitiessatisfying $p_c^{site}\geq p_c^{bond}$. The strict version of this inequalityholds for many, but not all, infinite graphs.  In this paper, the class of graphs for which the strict inequality holds isextended to a continuum percolation model. In Gilbert's graph withsupercritical density on the Euclidean plane, there is almost surely a uniqueinfinite connected component. We show that on this component $p_c^{site} >p_c^{bond}$. This also holds in higher dimensions.

Strict inequalities of critical probabilities on Gilbert's continuum percolation graph