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)kεℓ. A number of results can be obtained using computer implementations of the algorithms.
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Huson, D.H. The generation and classification of tile-k-transitive tilings of the Euclidean plane, the sphere and the hyperbolic plane. Geom Dedicata 47, 269–296 (1993). https://doi.org/10.1007/BF01263661
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DOI: https://doi.org/10.1007/BF01263661