List of noble polyhedra

Besides the disphenoid and the infinite family of crown polyhedra, there are 78 known noble polyhedra, 2 of which are fissary:

Tetrahedral symmetry
There exists only one noble polyhedron with tetrahedral/chiral tetrahedral symmetry: the tetrahedron.

Chiral octahedral symmetry
There are three nobles with chiral octahedral symmetry that are not included in this table: 1 dual pair and 1 self-dual.

Icosahedral symmetry
Additionally, there are 23 other noble polyhedra with icosahedral symmetry not listed in the above table:

They are listed in the below table:
 * 3 non-chiral dual pairs with 60 vertices, 150 edges, 60 pentagonal faces
 * 7 non-chiral dual pairs with 60 vertices, 180 edges, 60 hexagonal faces
 * 3 non-chiral self-duals with 60 vertices, 180 edges, 60 hexagonal faces