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2. List of isotoxal polyhedra and tilings - Wikipedia

   en.wikipedia.org/wiki/List_of_isotoxal_polyhedra...

   Regular polyhedra are isohedral (face-transitive), isogonal (vertex-transitive), and isotoxal (edge-transitive). Quasiregular polyhedra are isogonal and isotoxal, but not isohedral; their duals are isohedral and isotoxal, but not isogonal. The dual of an isotoxal polyhedron is also an isotoxal polyhedron. (See the Dual polyhedron article.)

3. Pentagonal tiling - Wikipedia

   en.wikipedia.org/wiki/Pentagonal_tiling

   There are also 2-isohedral tilings by special cases of type 1, type 2, and type 4 tiles, and 3-isohedral tilings, all edge-to-edge, by special cases of type 1 tiles. There is no upper bound on k for k-isohedral tilings by certain tiles that are both type 1 and type 2, and hence neither on the number of tiles in a primitive unit.

4. Category:Isohedral tilings - Wikipedia

   en.wikipedia.org/wiki/Category:Isohedral_tilings

   Pages in category "Isohedral tilings" The following 76 pages are in this category, out of 76 total. ... Octagonal tiling; Order-1 digonal tiling; Order-2 apeirogonal ...

5. Tilings and patterns - Wikipedia

   en.wikipedia.org/wiki/Tilings_and_patterns

   Wang tiles §11.1 Wang tile, §11.2 Hao Wang, §11.3 decidability, §11.4 Turing machine: 12: Tilings with unusual kinds of tiles §12.1 Cut point, §12.2 disconnected tiles, §12.3 hollow tiling, vertex figure, §12.4 Riemann surface, H.S.M. Coxeter

6. Isohedral figure - Wikipedia

   en.wikipedia.org/wiki/Isohedral_figure

   Similarly, a k-isohedral tiling has k separate symmetry orbits (it may contain m different face shapes, for m = k, or only for some m < k). [ 6 ] ("1-isohedral" is the same as "isohedral".) A monohedral polyhedron or monohedral tiling ( m = 1) has congruent faces, either directly or reflectively, which occur in one or more symmetry positions.

7. Anisohedral tiling - Wikipedia

   en.wikipedia.org/wiki/Anisohedral_tiling

   The problem of anisohedral tiling has been generalised by saying that the isohedral number of a tile is the lowest number orbits (equivalence classes) of tiles in any tiling of that tile under the action of the symmetry group of that tiling, and that a tile with isohedral number k is k-anisohedral.