Shape of tori calculated for a fixed torus centre, r₀. Left: shape of tori calculated for the set of space-time parameters taken from Fig. 1 and a fixed value of r₀ = 8r_G (relevant values of l₀ are determined by space-time parameters). The profiles are calculated for various increasing values of the thickness parameter, β. These values were chosen to smoothly cover the range from β = 0, corresponding to the case of a slender torus (central dot), through values corresponding to closed equipotential structures (i.e. tori), including the limiting case of cusp equipotentials (cusp torus), to the values corresponding to open equipotentials. Right: comparison of cusp torus configurations from the left panel. The black dot denotes the centre for all tori.