Transposition Order
An ordering of Permutations in which each two adjacent permutations differ by theTransposition of two elements. For the permutations of 
there are two listings which are intransposition order. One is 123, 132, 312, 321, 231, 213, and the other is 123, 321, 312, 213, 231, 132.
References
Ruskey, F. ``Information on Combinations of a Set.'' http://sue.csc.uvic.ca/~cos/inf/comb/CombinationsInfo.html.
- Great Icosahedron-Great Stellated Dodecahedron Compound
- Great Icosicosidodecahedron
- Great Icosidodecahedron
- Great Icosihemidodecacron
- Great Icosihemidodecahedron
- Great Inverted Pentagonal Hexecontahedron
- Great Inverted Retrosnub Icosidodecahedron
- Great Inverted Snub Icosidodecahedron
- Great Pentagonal Hexecontahedron
- Great Pentagrammic Hexecontahedron
- Great Pentakis Dodecahedron
- Great Quasitruncated Icosidodecahedron
- Great Retrosnub Icosidodecahedron
- Great Rhombicosidodecahedron (Archimedean)
- Great Rhombicosidodecahedron (Uniform)
- Great Rhombic Triacontahedron
- Great Rhombicuboctahedron (Archimedean)
- Great Rhombicuboctahedron (Uniform)
- Great Rhombidodecacron
- Great Rhombidodecahedron
- Great Rhombihexacron
- Great Rhombihexahedron
- Great Snub Dodecicosidodecahedron
- Great Snub Icosidodecahedron
- Great Sphere