Peter W.Messer identified the names and facial patters of all 226 fully supported stellations of the rhombic triacontahedron. Of these 112 are chiral. The models can best be viewed in full screen mode. Use Select a scene to view another stellation. The first list shows all achiral stellations. For instance the small stellated triacontahedron is the 13th in the list, the great rhombic triacontahedron the 22th, the great stellated triacontahedron is the 33th, the rhombic hexecontahedron is the 92th, and the final stellation is the 114th.
The second list shows all chiral stellations. For instance the compound of 15 rhombic disphenoids is the 87th in the list. For VsXZr, the 103th in the list, step-by-step building instructions are available on this site.
As in the corresponding page in The Encyclopedia of Polyhedra by George Hart, each face is given a colour based on a colouring scheme of the rhombic triacontahedron being stellated. This 5-coloured scheme in turn is inspired by one of its stellations, the compound of five cubes (the 9th in the achiral list). Monochrome versions are also available:
