Abstract. By analogy with benzenoids, diamond hydrocarbons (diamondoids for short) can be classified according to their dualists into catamantanes with acyclic dualists, perimantanes with dualists having 6-membered rings, and coronamantanes having larger rings that are not peripheries of 6-membered ring aggregates. Coronoid diamond hydrocarbons may be either tridimensional portions of the macromolecular diamond lattice with holes examined in an earlier article and here, or hollow smaller molecules (coronamantanes) also discussed in the present paper, with 3D or quasi-2D holes. In the case of lattices, the effect of external hydrogen atoms is negligible but it cannot be ignored in the case of coronamantanes. Both the outer and inner dangling bonds may be connected with hydrogen atoms, or some of the inner carbon atoms with dangling bonds may be replaced by heteroatoms (N, O, or S) which might be able to bind metallic cations with coordinative bonds. A convenient means of structure representation uses dualists of the diamondoids. The holes may be isolated as are "closed pores" in polymer foams, or they may communicate forming tunnels as for 'open pores' in 'sponge foams'. A special discussion is reserved for coronamantane analogs of the quasi-planar coronoids. In these cases the diamondoid is quasi-flat and the quasi-2D hole or tunnel is accessible on both sides; it may be chiral or achiral. The diamondoid analog of kekulene is a cyclohexadecamantane C 64 H 64 , a challenge for the future. (doi: 10.5562/cca2288)