  The class of Cyclotomic Aperiodic Substitution Tilings (CAST) is introduced.
Its vertices are supported on the 2n-th cyclotomic field. It covers a wide
range of known aperiodic substitution tilings of the plane with finite
rotations. Substitution matrices and minimal inflation multipliers of CASTs are
discussed as well as practical use cases to identify specimen with individual
dihedral symmetry Dn or D2n, i.e. the tiling contains an infinite number of
patches of any size with dihedral symmetry Dn or D2n only by iteration of
substitution rules on a single tile.
