Inversion results: vertical slices in the 3D distribution at l = −30° (case 1), −18° (case 2), −5° (case 3) and − 8° (case 4). The first vertical planar cut (l = − 30°) corresponds to part of the Fig. 7 (middle) of Lallement et al. (2014). The Sun is at (0,0) in those half-planes. The color scale is identical to the one in Fig. 1. Sun-centered dashed black circles correspond to distances of 100 and 200 pc from the Sun respectively. The directions of the bright areas labeled in Fig. 5 are shown by a dot-dashed black line and an arrow. Dashed black ellipses mark cavities that may correspond to soft X-ray brightness enhancements of Fig. 5.