Honeycomb bodies, honeycomb structures and extrusion dies, including a transition structural component. A honeycomb structure (100) includes a plurality of interconnected webs (106) defining a plurality of cell channels (108) in a honeycomb matrix (109) having a central axis (110) orthogonal to its transverse cross-section. Radial webs (116) diverge outwardly from the central axis (110). Radial webs (116) include a first radial web (150) and a second radial web (152). Tangential webs (120) are arranged concentrically with respect to the central axis (110), wherein at least one of the tangential webs (120) is a tangential transition web (142). At least one transition structural component (140) is located radially inward from the tangential transition web (124) and includes a first inclined web (144) having a first end (144A) coupled to the first radial web (150) and a second inclined web (146) having a first end (146A) coupled to the second radial web (152). Extrusion dies configured to make the honeycomb structures are provided, as are other aspects.