The lowest lying bound electronic state of H3 has the equilateral triangular H3+ core, with an outer electron in the 2s Rydberg orbital. Electronic transitions to this [Formula: see text] state were first observed by Herzberg and co-workers. Combining two such Rydberg monomers into a spin-paired Rydberg dimer may lead to significant stabilization at a long geometry where the 2s orbitals overlap. This paper includes the search for such an electronic state, as well as discussion of other electronic states that are unbound. Although the dimer state is not the lowest lying electronic state, it does show a substantial potential energy minimum at a ring–ring distance of 6.75 bohr. The D3h symmetry for the Rydberg state is broken by a small distortion that leads to an isoceles triangle.