Hausdorff Paradox
For 
, there exist no additive finite and invariant measures for the group of displacements in 
.
References
Le Lionnais, F. Les nombres remarquables. Paris: Hermann, p. 49, 1983.
- 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