List of noble polyhedra

Besides the tetragonal disphenoid, rhombic disphenoid and the infinite family of crown polyhedra, there are 80 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/chiral tetrahedral symmetry: the tetrahedron.

Chiral octahedral symmetry
There are also two nobles with chiral octahedral symmetry not listed in the above table.