List of noble polyhedra

Besides the tetragonal disphenoid, rhombic disphenoid and the infinite family of crown polyhedra, there are 94 known non-exotic noble polyhedra, 9 of which are regular and 2 of which are fissary:

Tetrahedral symmetry
There exists only one noble polyhedron with tetrahedral symmetry: the tetrahedron. There do not exist noble polyhedra with chiral tetrahedral or pyritohedral symmetry.

Icosahedral symmetry
There are two other noble polyhedra with this symmetry not listed in the above table. They are both in the grid army.

Chiral icosahedral symmetry
There are a further 8 noble polyhedra with this symmetry not listed in the above table.