The regular dodecahedron has four stellations: the original dodecahedron, small stellated dodecahedron, great dodecahedron, and great stellated dodecahedron (Wenninger 1989, pp. 35 and 38-40; Coxeter 1999, p. 14; Webb). All are reflexible, and these stellations are identical using either the fully supported or Miller's rules criterion (Webb).
The original dodecahedron, its 12 facial planes, and the intersections of those planes with the facial plane of the "top" face are illustrated above.
The stellation diagram showing the 10 lines of intersections of one face with the ten other nonparallel faces is shown above, together with the regions into which these intersections divide the plane (Wenninger 1989, p. 36, Fig. 25; Coxeter et al. 1999, p. 14, Fig. 1).
Bulatov has produced 270 stellations of a deformed dodecahedron.
