Consider a bipartite random geometric graph on the union of two independent
homogeneous Poisson point processes in d-space, with distance parameter r
and intensities λ,μ. We show for d≥2 that if λ is
supercritical for the one-type random geometric graph with distance parameter
2r, there exists μ such that (λ,μ) is supercritical (this was
previously known for d=2). For d=2 we also consider the restriction of this
graph to points in the unit square. Taking μ=τλ for fixed
τ, we give a strong law of large numbers as λ→∞, for the
connectivity threshold of this graph