The Generation and Classification of Tile-k-Transitive Tilings
of the Euclidean Plane, the Sphere and the Hyperbolic Plane

Daniel H. Huson

Abstract:
Algorithms based on the theory of Delaney-Dress symbols are discussed that
can be used to recursively produce all possible equivariant 
types of tile-k-transitive tilings
of the Euclidean plane, the sphere and the hyperbolic plane, for any
(reasonable) k.
A number of results can be obtained using computer implementations
of the algorithms.

Appeared in:

Geometriae Dedicata, 47:269--296 (1993)